id string | year int32 | paper int32 | subject string | q_number int32 | section int32 | type string | is_paragraph bool | paragraph dict | question_text string | images images list | image_ids list | options dict | marking dict | answer_kind string | correct_answer string | answer_raw string | source dict | review dict |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2022_P1_Mathematics_Q01 | 2,022 | 1 | Mathematics | 1 | 1 | numerical | false | null | Considering only the principal values of the inverse trigonometric functions, the value of
$$
\frac{3}{2} \cos^{-1} \sqrt{\frac{2}{2 + \pi^2}} + \frac{1}{4} \sin^{-1} \frac{2\sqrt{2} \, \pi}{2 + \pi^2} + \tan^{-1} \frac{\sqrt{2}}{\pi}
$$
is _________ . | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 2.35, "max": 2.37} | 2.36 . Range (2.35 - 2.37) | {
"pages": [
1
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P1_Mathematics_Q02 | 2,022 | 1 | Mathematics | 2 | 1 | numerical | false | null | Let $\alpha$ be a positive real number. Let $f \colon \mathbb{R} \to \mathbb{R}$ and $g \colon (\alpha, \infty) \to \mathbb{R}$ be the functions defined by
$$
f(x) = \sin \left( \frac{\pi x}{12} \right) \quad \text{and} \quad g(x) = \frac{2 \, \log_e \left( \sqrt{x} - \sqrt{\alpha} \right)}{\log_e \left( e^{\sqrt{x}} -... | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 0.49, "max": 0.51} | 0.50 . Range (0.49 - 0.51) | {
"pages": [
1
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P1_Mathematics_Q03 | 2,022 | 1 | Mathematics | 3 | 1 | numerical | false | null | In a study about a pandemic, data of 900 persons was collected. It was found that
- 190 persons had symptom of fever,
- 220 persons had symptom of cough,
- 220 persons had symptom of breathing problem,
- 330 persons had symptom of fever or cough or both,
- 350 persons had symptom of cough or breathing problem or both,... | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 0.79, "max": 0.81} | 0.80 . Range (0.79 - 0.81) | {
"pages": [
1
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P1_Mathematics_Q04 | 2,022 | 1 | Mathematics | 4 | 1 | numerical | false | null | Let $z$ be a complex number with non-zero imaginary part. If
$$
\frac{2 + 3z + 4z^2}{2 - 3z + 4z^2}
$$
is a real number, then the value of $|z|^2$ is _________. | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 0.49, "max": 0.51} | 0.50 Range (0.49 - 0.51) | {
"pages": [
2
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P1_Mathematics_Q05 | 2,022 | 1 | Mathematics | 5 | 1 | numerical | false | null | Let $\bar{z}$ denote the complex conjugate of a complex number $z$ and let $i = \sqrt{-1}$. In the set of complex numbers, the number of distinct roots of the equation
$$
\bar{z} - z^2 = i(\bar{z} + z^2)
$$
is _________. | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 4, "max": 4} | 4 Range (4 - 4) | {
"pages": [
2
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P1_Mathematics_Q06 | 2,022 | 1 | Mathematics | 6 | 1 | numerical | false | null | Let $l_1, l_2, \ldots, l_{100}$ be consecutive terms of an arithmetic progression with common difference $d_1$, and let $w_1, w_2, \ldots, w_{100}$ be consecutive terms of another arithmetic progression with common difference $d_2$, where $d_1 d_2 = 10$. For each $i = 1, 2, \ldots, 100$, let $R_i$ be a rectangle with l... | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 18900, "max": 18900} | 18900 Range (18900 - 18900) | {
"pages": [
2
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P1_Mathematics_Q07 | 2,022 | 1 | Mathematics | 7 | 1 | numerical | false | null | The number of 4-digit integers in the closed interval $[2022, 4482]$ formed by using the digits $0, 2, 3, 4, 6, 7$ is _________. | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 569, "max": 569} | 569 Range (569 - 569) | {
"pages": [
2
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P1_Mathematics_Q08 | 2,022 | 1 | Mathematics | 8 | 1 | numerical | false | null | Let $ABC$ be the triangle with $AB = 1$, $AC = 3$ and $\angle BAC = \frac{\pi}{2}$. If a circle of radius $r > 0$ touches the sides $AB$, $AC$ and also touches internally the circumcircle of the triangle $ABC$, then the value of $r$ is _________. | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 0.82, "max": 0.86} | 0.84 Range (0.82 - 0.86) | {
"pages": [
2
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P1_Mathematics_Q09 | 2,022 | 1 | Mathematics | 9 | 2 | multi_correct | false | null | Consider the equation
$$
\int_{1}^{e} \frac{(\log_e x)^{1/2}}{x \left(a - (\log_e x)^{3/2}\right)^2} dx = 1, \quad a \in (-\infty, 0) \cup (1, \infty).
$$
Which of the following statements is/are TRUE ? | [] | {
"choices": [
{
"label": "A",
"text": "No $a$ satisfies the above equation"
},
{
"label": "B",
"text": "An integer $a$ satisfies the above equation"
},
{
"label": "C",
"text": "An irrational number $a$ satisfies the above equation"
},
{
"label": "... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["C", "D"]} | C, D | {
"pages": [
3
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Mathematics_Q10 | 2,022 | 1 | Mathematics | 10 | 2 | multi_correct | false | null | Let $a_1, a_2, a_3, \ldots$ be an arithmetic progression with $a_1 = 7$ and common difference $8$. Let $T_1, T_2, T_3, \ldots$ be such that $T_1 = 3$ and $T_{n+1} - T_n = a_n$ for $n \geq 1$. Then, which of the following is/are TRUE? | [] | {
"choices": [
{
"label": "A",
"text": "$T_{20} = 1604$"
},
{
"label": "B",
"text": "$\\sum_{k=1}^{20} T_k = 10510$"
},
{
"label": "C",
"text": "$T_{30} = 3454$"
},
{
"label": "D",
"text": "$\\sum_{k=1}^{30} T_k = 35610$"
}
],
"list_I... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["B", "C"]} | Answer: B, C | {
"pages": [
4
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Mathematics_Q11 | 2,022 | 1 | Mathematics | 11 | 2 | multi_correct | false | null | Let $P_1$ and $P_2$ be two planes given by
$$
P_1: \ 10x + 15y + 12z - 60 = 0 \ ,
$$
$$
P_2: \ -2x + 5y + 4z - 20 = 0 \ .
$$
Which of the following straight lines can be an edge of some tetrahedron whose two faces lie on $P_1$ and $P_2$ ? | [] | {
"choices": [
{
"label": "A",
"text": "$\\frac{x-1}{0} = \\frac{y-1}{0} = \\frac{z-1}{5}$"
},
{
"label": "B",
"text": "$\\frac{x-6}{-5} = \\frac{y}{2} = \\frac{z}{3}$"
},
{
"label": "C",
"text": "$\\frac{x}{-2} = \\frac{y-4}{5} = \\frac{z}{4}$"
},
{
... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "B", "D"]} | Answer: A, B, D | {
"pages": [
4
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Mathematics_Q12 | 2,022 | 1 | Mathematics | 12 | 2 | multi_correct | false | null | Let $S$ be the reflection of a point $Q$ with respect to the plane given by
$$
\vec{r} = -(t + p)\hat{i} + t\hat{j} + (1 + p)\hat{k}
$$
where $t, p$ are real parameters and $\hat{i}, \hat{j}, \hat{k}$ are the unit vectors along the three positive coordinate axes. If the position vectors of $Q$ and $S$ are $10\hat{i} + ... | [] | {
"choices": [
{
"label": "A",
"text": "$3(\\alpha + \\beta) = -101$"
},
{
"label": "B",
"text": "$3(\\beta + \\gamma) = -71$"
},
{
"label": "C",
"text": "$3(\\gamma + \\alpha) = -86$"
},
{
"label": "D",
"text": "$3(\\alpha + \\beta + \\gamma... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "B", "C"]} | Answer: A, B, C | {
"pages": [
4
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Mathematics_Q13 | 2,022 | 1 | Mathematics | 13 | 2 | multi_correct | false | null | Consider the parabola $y^2 = 4x$. Let $S$ be the focus of the parabola. A pair of tangents drawn to the parabola from the point $P = (-2, 1)$ meet the parabola at $P_1$ and $P_2$. Let $Q_1$ and $Q_2$ be points on the lines $SP_1$ and $SP_2$ respectively such that $PQ_1$ is perpendicular to $SP_1$ and $PQ_2$ is perpendi... | [] | {
"choices": [
{
"label": "A",
"text": "$SQ_1 = 2$"
},
{
"label": "B",
"text": "$Q_1Q_2 = \\frac{3\\sqrt{10}}{5}$"
},
{
"label": "C",
"text": "$PQ_1 = 3$"
},
{
"label": "D",
"text": "$SQ_2 = 1$"
}
],
"list_I": null,
"list_II": null
... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["B", "C", "D"]} | B, C, D | {
"pages": [
5
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Mathematics_Q14 | 2,022 | 1 | Mathematics | 14 | 2 | multi_correct | false | null | Let $|M|$ denote the determinant of a square matrix $M$. Let $g: \left[0, \frac{\pi}{2}\right] \to \mathbb{R}$ be the function defined by
$$
g(\theta) = \sqrt{f(\theta) - 1} + \sqrt{f\left(\frac{\pi}{2} - \theta\right) - 1}
$$
where
$$
f(\theta) = \frac{1}{2} \left| \begin{array}{ccc} 1 & \sin \theta & 1 \\ -\sin \thet... | [] | {
"choices": [
{
"label": "A",
"text": "$p\\left(\\frac{3+\\sqrt{2}}{4}\\right) < 0$"
},
{
"label": "B",
"text": "$p\\left(\\frac{1+3\\sqrt{2}}{4}\\right) > 0$"
},
{
"label": "C",
"text": "$p\\left(\\frac{5\\sqrt{2}-1}{4}\\right) > 0$"
},
{
"label"... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "C"]} | A, C | {
"pages": [
5
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Mathematics_Q15 | 2,022 | 1 | Mathematics | 15 | 3 | matrix_match | false | null | Consider the following lists:
The correct option is: | [] | {
"choices": [
{
"label": "A",
"text": "$(I) \\to (P);\\ (II) \\to (S);\\ (III) \\to (P);\\ (IV) \\to (S)$"
},
{
"label": "B",
"text": "$(I) \\to (P);\\ (II) \\to (P);\\ (III) \\to (T);\\ (IV) \\to (R)$"
},
{
"label": "C",
"text": "$(I) \\to (Q);\\ (II) \\to (P)... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["B"]} | B | {
"pages": [
6
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 6: PDF text line not transcribed: 'The correct option is:'",
"second model disagrees: List-I count 4 vs 0",
"second model disagrees: List-II count 5 vs 0",
"second model disagrees: text differs (100% / 86% token overlap)... | |
2022_P1_Mathematics_Q16 | 2,022 | 1 | Mathematics | 16 | 3 | matrix_match | false | null | Two players, $P_1$ and $P_2$, play a game against each other. In every round of the game, each player rolls a fair die once, where the six faces of the die have six distinct numbers. Let $x$ and $y$ denote the readings on the die rolled by $P_1$ and $P_2$, respectively. If $x > y$, then $P_1$ scores 5 points and $P_2$ ... | [] | {
"choices": [
{
"label": "A",
"text": "(I) $\\to$ (Q); (II) $\\to$ (R); (III) $\\to$ (T); (IV) $\\to$ (S)"
},
{
"label": "B",
"text": "(I) $\\to$ (Q); (II) $\\to$ (R); (III) $\\to$ (T); (IV) $\\to$ (T)"
},
{
"label": "C",
"text": "(I) $\\to$ (P); (II) $\\to$ (R... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["A"]} | Answer: A | {
"pages": [
7
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 7: PDF text line not transcribed: 'The correct option is:'"
],
"notes": []
} | |
2022_P1_Mathematics_Q17 | 2,022 | 1 | Mathematics | 17 | 3 | matrix_match | false | null | Let $p, q, r$ be nonzero real numbers that are, respectively, the $10^{th}$, $100^{th}$ and $1000^{th}$ terms of a harmonic progression. Consider the system of linear equations
$$
x + y + z = 1
$$
$$
10x + 100y + 1000z = 0
$$
$$
qr\, x + pr\, y + pq\, z = 0 \quad .
$$
The correct option is: | [] | {
"choices": [
{
"label": "A",
"text": "(I) $\\to$ (T); (II) $\\to$ (R); (III) $\\to$ (S); (IV) $\\to$ (T)"
},
{
"label": "B",
"text": "(I) $\\to$ (Q); (II) $\\to$ (S); (III) $\\to$ (S); (IV) $\\to$ (R)"
},
{
"label": "C",
"text": "(I) $\\to$ (Q); (II) $\\to$ (R... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["B"]} | Answer: B | {
"pages": [
8
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 8: PDF text line not transcribed: 'The correct option is:'"
],
"notes": []
} | |
2022_P1_Mathematics_Q18 | 2,022 | 1 | Mathematics | 18 | 3 | matrix_match | false | null | Consider the ellipse
$$
\frac{x^2}{4} + \frac{y^2}{3} = 1 \,.
$$
Let $H(\alpha, 0)$, $0 < \alpha < 2$, be a point. A straight line drawn through $H$ parallel to the $y$-axis crosses the ellipse and its auxiliary circle at points $E$ and $F$ respectively, in the first quadrant. The tangent to the ellipse at the point $E... | [] | {
"choices": [
{
"label": "A",
"text": "(I) $\\to$ (R); (II) $\\to$ (S); (III) $\\to$ (Q); (IV) $\\to$ (P)"
},
{
"label": "B",
"text": "(I) $\\to$ (R); (II) $\\to$ (T); (III) $\\to$ (S); (IV) $\\to$ (P)"
},
{
"label": "C",
"text": "(I) $\\to$ (Q); (II) $\\to$ (T... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["C"]} | C | {
"pages": [
9
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 9: PDF text line not transcribed: 'The correct option is:'"
],
"notes": []
} | |
2022_P1_Physics_Q01 | 2,022 | 1 | Physics | 1 | 1 | numerical | false | null | Two spherical stars $A$ and $B$ have densities $\rho_A$ and $\rho_B$, respectively. $A$ and $B$ have the same radius, and their masses $M_A$ and $M_B$ are related by $M_B = 2M_A$. Due to an interaction process, star $A$ loses some of its mass, so that its radius is halved, while its spherical shape is retained, and its... | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 2.2, "max": 2.4} | 2.3. Range (2.2 - 2.4) | {
"pages": [
10
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 10: drawing at [109, 389, 524, 473] is in no figure (possible missed figure)"
],
"notes": [
"section 1: marks differ (PDF (3, 0, 0, ()), model (3, 0, -1, ())); using the PDF"
]
} | |
2022_P1_Physics_Q02 | 2,022 | 1 | Physics | 2 | 1 | numerical | false | null | The minimum kinetic energy needed by an alpha particle to cause the nuclear reaction $^{16}_7\mathrm{N} + {}^4_2\mathrm{He} \to {}^1_1\mathrm{H} + {}^{19}_8\mathrm{O}$ in a laboratory frame is $n$ (in $\mathrm{MeV}$). Assume that $^{16}_7\mathrm{N}$ is at rest in the laboratory frame. The masses of $^{16}_7\mathrm{N}$,... | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 2.3, "max": 2.35} | 2.33. Range (2.30 - 2.35) | {
"pages": [
10
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 10: drawing at [109, 389, 524, 473] is in no figure (possible missed figure)",
"second model disagrees: text differs (88% / 100% token overlap)"
],
"notes": [
"section 1: marks differ (PDF (3, 0, 0, ()), model (3, 0, -1,... | |
2022_P1_Physics_Q03 | 2,022 | 1 | Physics | 3 | 1 | numerical | false | null | In the following circuit $C_1 = 12\,\mu\mathrm{F}$, $C_2 = C_3 = 4\,\mu\mathrm{F}$ and $C_4 = C_5 = 2\,\mu\mathrm{F}$. The charge stored in $C_3$ is ____ $\mu\mathrm{C}$.
[FIG_1] | [
"FIG_1"
] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 7.9, "max": 8.1} | 8. Range (7.9 - 8.1) | {
"pages": [
10
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 10: drawing at [109, 389, 524, 473] is in no figure (possible missed figure)"
],
"notes": [
"section 1: marks differ (PDF (3, 0, 0, ()), model (3, 0, -1, ())); using the PDF"
]
} | |
2022_P1_Physics_Q04 | 2,022 | 1 | Physics | 4 | 1 | numerical | false | null | A rod of length $2\,\mathrm{cm}$ makes an angle $\frac{2\pi}{3}\,\mathrm{rad}$ with the principal axis of a thin convex lens. The lens has a focal length of $10\,\mathrm{cm}$ and is placed at a distance of $\frac{40}{3}\,\mathrm{cm}$ from the object as shown in the figure. The height of the image is $\frac{30\sqrt{3}}{... | [
"FIG_2"
] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 5.95, "max": 6.05} | 6. Range (5.95 - 6.05) | {
"pages": [
10
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 10: drawing at [109, 389, 524, 473] is in no figure (possible missed figure)"
],
"notes": [
"section 1: marks differ (PDF (3, 0, 0, ()), model (3, 0, -1, ())); using the PDF"
]
} | |
2022_P1_Physics_Q05 | 2,022 | 1 | Physics | 5 | 1 | numerical | false | null | At time $t = 0$, a disk of radius $1\,m$ starts to roll without slipping on a horizontal plane with an angular acceleration of $\alpha = \frac{2}{3}\,\mathrm{rad\,s^{-2}}$. A small stone is stuck to the disk. At $t = 0$, it is at the contact point of the disk and the plane. Later, at time $t = \sqrt{\pi}\,\mathrm{s}$, ... | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 0.48, "max": 0.56} | 0.52. Range (0.48 - 0.56) | {
"pages": [
11
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": [
"section 1: marks differ (PDF (3, 0, 0, ()), model (3, 0, -1, ())); using the PDF"
]
} | |
2022_P1_Physics_Q06 | 2,022 | 1 | Physics | 6 | 1 | numerical | false | null | A solid sphere of mass $1\,\mathrm{kg}$ and radius $1\,\mathrm{m}$ rolls without slipping on a fixed inclined plane with an angle of inclination $\theta = 30^\circ$ from the horizontal. Two forces of magnitude $1\,\mathrm{N}$ each, parallel to the incline, act on the sphere, both at distance $r = 0.5\,\mathrm{m}$ from ... | [
"FIG_1"
] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 2.8, "max": 2.92} | 2.86 m s⁻². Range (2.80 - 2.92) | {
"pages": [
11
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": [
"section 1: marks differ (PDF (3, 0, 0, ()), model (3, 0, -1, ())); using the PDF"
]
} | |
2022_P1_Physics_Q07 | 2,022 | 1 | Physics | 7 | 1 | numerical | false | null | Consider an LC circuit, with inductance $L = 0.1\,\mathrm{H}$ and capacitance $C = 10^{-3}\,\mathrm{F}$, kept on a plane. The area of the circuit is $1\,\mathrm{m^2}$. It is placed in a constant magnetic field of strength $B_0$ which is perpendicular to the plane of the circuit. At time $t = 0$, the magnetic field stre... | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 3.98, "max": 4.02} | 4 mA. Range (3.98 - 4.02) | {
"pages": [
11
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": [
"section 1: marks differ (PDF (3, 0, 0, ()), model (3, 0, -1, ())); using the PDF"
]
} | |
2022_P1_Physics_Q08 | 2,022 | 1 | Physics | 8 | 1 | numerical | false | null | A projectile is fired from horizontal ground with speed $v$ and projection angle $\theta$. When the acceleration due to gravity is $g$, the range of the projectile is $d$. If at the highest point in its trajectory, the projectile enters a different region where the effective acceleration due to gravity is $g' = \frac{g... | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 0.93, "max": 0.97} | 0.95. Range (0.93 - 0.97) | {
"pages": [
11
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": [
"section 1: marks differ (PDF (3, 0, 0, ()), model (3, 0, -1, ())); using the PDF"
]
} | |
2022_P1_Physics_Q09 | 2,022 | 1 | Physics | 9 | 2 | multi_correct | false | null | A medium having dielectric constant $K > 1$ fills the space between the plates of a parallel plate capacitor. The plates have large area, and the distance between them is $d$. The capacitor is connected to a battery of voltage $V$, as shown in Figure (a). Now, both the plates are moved by a distance of $\frac{d}{2}$ fr... | [
"FIG_1",
"FIG_2"
] | {
"choices": [
{
"label": "A",
"text": "The electric field inside the dielectric material is reduced by a factor of $2K$."
},
{
"label": "B",
"text": "The capacitance is decreased by a factor of $\\frac{1}{K+1}$."
},
{
"label": "C",
"text": "The voltage between ... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["B"]} | B | {
"pages": [
13
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 13: PDF text line not transcribed: 'In the process of going from the configuration depicted in Figure (a) to that in Figure (b), which of'",
"page 13: PDF text line not transcribed: 'the following statement(s) is(are) correct?'"... | |
2022_P1_Physics_Q10 | 2,022 | 1 | Physics | 10 | 2 | multi_correct | false | null | The figure shows a circuit having eight resistances of $1\,\Omega$ each, labelled $R_1$ to $R_8$, and two ideal batteries with voltages $\mathcal{E}_1 = 12\,V$ and $\mathcal{E}_2 = 6\,V$.
[FIG_1]
Which of the following statement(s) is(are) correct? | [
"FIG_1"
] | {
"choices": [
{
"label": "A",
"text": "The magnitude of current flowing through $R_1$ is $7.2\\,\\mathrm{A}$."
},
{
"label": "B",
"text": "The magnitude of current flowing through $R_2$ is $1.2\\,\\mathrm{A}$."
},
{
"label": "C",
"text": "The magnitude of curre... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "B", "C", "D"]} | A, B, C, D | {
"pages": [
14
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Physics_Q11 | 2,022 | 1 | Physics | 11 | 2 | multi_correct | false | null | An ideal gas of density $\rho = 0.2\,kg\,m^{-3}$ enters a chimney of height $h$ at the rate of $\alpha = 0.8\,kg\,s^{-1}$ from its lower end, and escapes through the upper end as shown in the figure. The cross-sectional area of the lower end is $A_1 = 0.1\,m^2$ and the upper end is $A_2 = 0.4\,m^2$. The pressure and th... | [
"FIG_1"
] | {
"choices": [
{
"label": "A",
"text": "The pressure of the gas at the upper end of the chimney is $300\\,Pa$."
},
{
"label": "B",
"text": "The velocity of the gas at the lower end of the chimney is $40\\,m\\,s^{-1}$ and at the upper end is $20\\,m\\,s^{-1}$."
},
{
"l... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["B"]} | B | {
"pages": [
15
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"second model disagrees: figure count 1 vs 2"
],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Physics_Q12 | 2,022 | 1 | Physics | 12 | 2 | multi_correct | false | null | Three plane mirrors form an equilateral triangle with each side of length $L$. There is a small hole at a distance $l > 0$ from one of the corners as shown in the figure. A ray of light is passed through the hole at an angle $\theta$ and can only come out through the same hole. The cross section of the mirror configura... | [
"FIG_2"
] | {
"choices": [
{
"label": "A",
"text": "The ray of light will come out for $\\theta = 30^\\circ$, for $0 < l < L$."
},
{
"label": "B",
"text": "There is an angle for $l = \\frac{L}{2}$ at which the ray of light will come out after two reflections."
},
{
"label": "C",
... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "B"]} | A, B | {
"pages": [
15
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"second model disagrees: figure count 1 vs 2"
],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Physics_Q13 | 2,022 | 1 | Physics | 13 | 2 | multi_correct | false | null | Six charges are placed around a regular hexagon of side length $a$ as shown in the figure. Five of them have charge $q$, and the remaining one has charge $x$. The perpendicular from each charge to the nearest hexagon side passes through the center O of the hexagon and is bisected by the side.
[FIG_1]
Which of the fol... | [
"FIG_1"
] | {
"choices": [
{
"label": "A",
"text": "When $x = q$, the magnitude of the electric field at O is zero."
},
{
"label": "B",
"text": "When $x = -q$, the magnitude of the electric field at O is $\\frac{q}{6\\pi \\epsilon_o a^2}$."
},
{
"label": "C",
"text": "When ... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "B", "C"]} | A, B, C | {
"pages": [
16
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 16: PDF text line not transcribed: 'Which of the following statement(s) is(are) correct in SI units?'",
"page 16: PDF text line not transcribed: 'Which of the following statement(s) is(are) correct?'",
"second model disagree... | |
2022_P1_Physics_Q14 | 2,022 | 1 | Physics | 14 | 2 | multi_correct | false | null | The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed inside the nucleus. Let the binding energy of a proton be $E_b^p$ and the binding energy of a neutron be $E_b^n$ in the nucleus.
Which of the following statement(s) is(are) ... | [] | {
"choices": [
{
"label": "A",
"text": "$E_b^p - E_b^n$ is proportional to $Z(Z - 1)$ where $Z$ is the atomic number of the nucleus."
},
{
"label": "B",
"text": "$E_b^p - E_b^n$ is proportional to $A^{-\\frac{1}{3}}$ where $A$ is the mass number of the nucleus."
},
{
... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "B", "D"]} | A, B, D | {
"pages": [
16
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 16: PDF text line not transcribed: 'Which of the following statement(s) is(are) correct in SI units?'",
"page 16: PDF text line not transcribed: 'Which of the following statement(s) is(are) correct?'",
"second model disagree... | |
2022_P1_Physics_Q15 | 2,022 | 1 | Physics | 15 | 3 | matrix_match | false | null | A small circular loop of area $A$ and resistance $R$ is fixed on a horizontal $xy$-plane with the center of the loop always on the axis $\hat{n}$ of a long solenoid. The solenoid has $m$ turns per unit length and carries current $I$ counterclockwise as shown in the figure. The magnetic field due to the solenoid is in $... | [
"FIG_1"
] | {
"choices": [
{
"label": "A",
"text": "I $\\to$ Q, II $\\to$ P, III $\\to$ S, IV $\\to$ T"
},
{
"label": "B",
"text": "I $\\to$ S, II $\\to$ T, III $\\to$ Q, IV $\\to$ P"
},
{
"label": "C",
"text": "I $\\to$ Q, II $\\to$ P, III $\\to$ S, IV $\\to$ R"
},
... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | bonus | {"kind": "bonus", "note": "Question dropped Marks for All"} | Question dropped Marks for All | {
"pages": [
17
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"matrix-match question without both List-I and List-II",
"second model disagrees: List-I count 0 vs 4",
"second model disagrees: List-II count 0 vs 5"
],
"notes": []
} | |
2022_P1_Physics_Q16 | 2,022 | 1 | Physics | 16 | 3 | matrix_match | false | null | List I describes four systems, each with two particles $A$ and $B$ in relative motion as shown in figures. List II gives possible magnitudes of their relative velocities (in $m\,s^{-1}$) at time $t = \frac{\pi}{3}\,s$.
Which one of the following options is correct? | [
"FIG_1",
"FIG_2",
"FIG_3",
"FIG_4"
] | {
"choices": [
{
"label": "A",
"text": "I $\\to$ R, II $\\to$ T, III $\\to$ P, IV $\\to$ S"
},
{
"label": "B",
"text": "I $\\to$ S, II $\\to$ P, III $\\to$ Q, IV $\\to$ R"
},
{
"label": "C",
"text": "I $\\to$ S, II $\\to$ T, III $\\to$ P, IV $\\to$ R"
},
... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["C"]} | Answer: C | {
"pages": [
18
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 18: PDF text line not transcribed: 'Which one of the following options is correct?'"
],
"notes": []
} | |
2022_P1_Physics_Q17 | 2,022 | 1 | Physics | 17 | 3 | matrix_match | false | null | List I describes thermodynamic processes in four different systems. List II gives the magnitudes (either exactly or as a close approximation) of possible changes in the internal energy of the system due to the process.
Which one of the following options is correct? | [] | {
"choices": [
{
"label": "A",
"text": "$I \\to T$, $II \\to R$, $III \\to S$, $IV \\to Q$"
},
{
"label": "B",
"text": "$I \\to S$, $II \\to P$, $III \\to T$, $IV \\to P$"
},
{
"label": "C",
"text": "$I \\to P$, $II \\to R$, $III \\to T$, $IV \\to Q$"
},
... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["C"]} | Answer: C | {
"pages": [
19
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 19: PDF text line not transcribed: 'Which one of the following options is correct?'",
"second model disagrees: text differs (81% / 96% token overlap)"
],
"notes": []
} | |
2022_P1_Physics_Q18 | 2,022 | 1 | Physics | 18 | 3 | matrix_match | false | null | List I contains four combinations of two lenses (1 and 2) whose focal lengths (in $cm$) are indicated in the figures. In all cases, the object is placed $20\,cm$ from the first lens on the left, and the distance between the two lenses is $5\,cm$. List II contains the positions of the final images.
Which one of the fol... | [
"FIG_1",
"FIG_2",
"FIG_3",
"FIG_4"
] | {
"choices": [
{
"label": "A",
"text": "$(I) \\to P;\\ (II) \\to R;\\ (III) \\to Q;\\ (IV) \\to T$"
},
{
"label": "B",
"text": "$(I) \\to Q;\\ (II) \\to P;\\ (III) \\to T;\\ (IV) \\to S$"
},
{
"label": "C",
"text": "$(I) \\to P;\\ (II) \\to T;\\ (III) \\to R;\\ ... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["A"]} | Answer: A | {
"pages": [
20
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 20: PDF text line not transcribed: 'Which one of the following options is correct?'",
"second model disagrees: text differs (100% / 90% token overlap)"
],
"notes": []
} | |
2022_P1_Chemistry_Q01 | 2,022 | 1 | Chemistry | 1 | 1 | numerical | false | null | 2 mol of $\mathrm{Hg}(g)$ is combusted in a fixed volume bomb calorimeter with excess of $\mathrm{O_2}$ at 298 K and 1 atm into $\mathrm{HgO}(s)$. During the reaction, temperature increases from 298.0 K to 312.8 K. If heat capacity of the bomb calorimeter and enthalpy of formation of $\mathrm{Hg}(g)$ are 20.00 $\mathrm... | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 89.0, "max": 91.0} | 90.39. Range (89.00-91.00) | {
"pages": [
22
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 22: PDF text line not transcribed: '[Given: Gas constant R = 8.3 J K-1 mol-1]'"
],
"notes": [
"section 1: box not readable; matches the PDF box of Mathematics"
]
} | |
2022_P1_Chemistry_Q02 | 2,022 | 1 | Chemistry | 2 | 1 | numerical | false | null | The reduction potential ($E^0$, in V) of $\mathrm{MnO_4^-}(aq)/\mathrm{Mn}(s)$ is _______.
[Given: $E^0_{(\mathrm{MnO_4^-}(aq)/\mathrm{MnO_2}(s))} = 1.68\ \mathrm{V}$; $E^0_{(\mathrm{MnO_2}(s)/\mathrm{Mn^{2+}}(aq))} = 1.21\ \mathrm{V}$; $E^0_{(\mathrm{Mn^{2+}}(aq)/\mathrm{Mn}(s))} = -1.03\ \mathrm{V}$ ] | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 0.74, "max": 0.8} | 0.77. Range (0.74-0.80) | {
"pages": [
22
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 22: PDF text line not transcribed: '[Given: Gas constant R = 8.3 J K-1 mol-1]'"
],
"notes": [
"section 1: box not readable; matches the PDF box of Mathematics"
]
} | |
2022_P1_Chemistry_Q03 | 2,022 | 1 | Chemistry | 3 | 1 | numerical | false | null | A solution is prepared by mixing $0.01$ mol each of $\mathrm{H_2CO_3}$, $\mathrm{NaHCO_3}$, $\mathrm{Na_2CO_3}$, and $\mathrm{NaOH}$ in $100\ \mathrm{mL}$ of water. $p\mathrm{H}$ of the resulting solution is _______.
[Given: $p\mathrm{K_{a1}}$ and $p\mathrm{K_{a2}}$ of $\mathrm{H_2CO_3}$ are 6.37 and 10.32, respective... | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 10.0, "max": 10.04} | 10.02. Range (10.00-10.04) | {
"pages": [
23
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 23: PDF text line not transcribed: '[Given: pKa1 and pKa2 of H2CO3 are 6.37 and 10.32, respectively; log 2 = 0.30]'",
"page 23: PDF text line not transcribed: '[Given: Atomic mass of H = 1, N = 14, O = 16, S = 32, K = 39, Cu = 6... | |
2022_P1_Chemistry_Q04 | 2,022 | 1 | Chemistry | 4 | 1 | numerical | false | null | The treatment of an aqueous solution of $3.74\ \mathrm{g}$ of $\mathrm{Cu(NO_3)_2}$ with excess $\mathrm{KI}$ results in a brown solution along with the formation of a precipitate. Passing $\mathrm{H_2S}$ through this brown solution gives another precipitate $\mathrm{X}$. The amount of $\mathrm{X}$ (in $\mathrm{g}$) is... | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 0.31, "max": 0.33} | 0.32. Range (0.31-0.33) | {
"pages": [
23
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
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"flags": [
"page 23: PDF text line not transcribed: '[Given: pKa1 and pKa2 of H2CO3 are 6.37 and 10.32, respectively; log 2 = 0.30]'",
"page 23: PDF text line not transcribed: '[Given: Atomic mass of H = 1, N = 14, O = 16, S = 32, K = 39, Cu = 6... | |
2022_P1_Chemistry_Q05 | 2,022 | 1 | Chemistry | 5 | 1 | numerical | false | null | Dissolving $1.24\ \mathrm{g}$ of white phosphorous in boiling $\mathrm{NaOH}$ solution in an inert atmosphere gives a gas $\mathrm{Q}$. The amount of $\mathrm{CuSO_4}$ (in $\mathrm{g}$) required to completely consume the gas $\mathrm{Q}$ is _______.
[Given: Atomic mass of H = 1, O = 16, Na = 23, P = 31, S = 32, Cu = 6... | [] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 2.37, "max": 2.41} | 2.39 Range (2.37-2.41) | {
"pages": [
23
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
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"page 23: PDF text line not transcribed: '[Given: Atomic mass of H = 1, N = 14, O = 16, S = 32, K = 39, Cu = 6... | |
2022_P1_Chemistry_Q06 | 2,022 | 1 | Chemistry | 6 | 1 | numerical | false | null | Consider the following reaction.
[FIG_1]
On estimation of bromine in $1.00\ \mathrm{g}$ of $\mathbf{R}$ using Carius method, the amount of $\mathrm{AgBr}$ formed (in $\mathrm{g}$) is ________.
[Given: Atomic mass of $\mathrm{H} = 1$, $\mathrm{C} = 12$, $\mathrm{O} = 16$, $\mathrm{P} = 31$, $\mathrm{Br} = 80$, $\math... | [
"FIG_1"
] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 1.49, "max": 1.51} | 1.50. Range (1.49-1.51) | {
"pages": [
24
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": [
"section 1: box not readable; matches the PDF box of Mathematics"
]
} | |
2022_P1_Chemistry_Q07 | 2,022 | 1 | Chemistry | 7 | 1 | numerical | false | null | The weight percentage of hydrogen in $\mathbf{Q}$, formed in the following reaction sequence, is ________.
[FIG_2]
[Given: Atomic mass of $\mathrm{H} = 1$, $\mathrm{C} = 12$, $\mathrm{N} = 14$, $\mathrm{O} = 16$, $\mathrm{S} = 32$, $\mathrm{Cl} = 35$] | [
"FIG_2"
] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 1.3, "max": 1.32} | 1.31. Range (1.30-1.32) | {
"pages": [
24
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"second model disagrees: text differs (100% / 62% token overlap)"
],
"notes": [
"section 1: box not readable; matches the PDF box of Mathematics"
]
} | |
2022_P1_Chemistry_Q08 | 2,022 | 1 | Chemistry | 8 | 1 | numerical | false | null | If the reaction sequence given below is carried out with $15$ moles of acetylene, the amount of the product $\mathbf{D}$ formed (in $\mathrm{g}$) is ________.
[FIG_3]
The yields of $\mathbf{A}$, $\mathbf{B}$, $\mathbf{C}$ and $\mathbf{D}$ are given in parentheses.
[Given: Atomic mass of $\mathrm{H} = 1$, $\mathrm{C}... | [
"FIG_3"
] | null | {
"full": 3,
"zero": 0,
"negative": 0,
"partial": []
} | range | {"kind": "range", "min": 135.8, "max": 136.2} | 136.00. Range (135.80-136.20) | {
"pages": [
24
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": [
"section 1: box not readable; matches the PDF box of Mathematics"
]
} | |
2022_P1_Chemistry_Q09 | 2,022 | 1 | Chemistry | 9 | 2 | multi_correct | false | null | For diatomic molecules, the correct statement(s) about the molecular orbitals formed by the overlap of two $2p_z$ orbitals is(are) | [] | {
"choices": [
{
"label": "A",
"text": "$\\sigma$ orbital has a total of two nodal planes."
},
{
"label": "B",
"text": "$\\sigma^*$ orbital has one node in the $xz$-plane containing the molecular axis."
},
{
"label": "C",
"text": "$\\pi$ orbital has one node in ... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | any_of | {"kind": "any_of", "value": [{"kind": "option", "value": ["A", "D"]}, {"kind": "option", "value": ["D"]}]} | [A, D] or [D] | {
"pages": [
25
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Chemistry_Q10 | 2,022 | 1 | Chemistry | 10 | 2 | multi_correct | false | null | The correct option(s) related to adsorption processes is(are) | [] | {
"choices": [
{
"label": "A",
"text": "Chemisorption results in a unimolecular layer."
},
{
"label": "B",
"text": "The enthalpy change during physisorption is in the range of 100 to 140 $\\mathrm{kJ\\,mol^{-1}}$."
},
{
"label": "C",
"text": "Chemisorption is an... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "D"]} | A, D | {
"pages": [
25
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Chemistry_Q11 | 2,022 | 1 | Chemistry | 11 | 2 | multi_correct | false | null | The electrochemical extraction of aluminum from bauxite ore involves | [] | {
"choices": [
{
"label": "A",
"text": "the reaction of $\\mathrm{Al_2O_3}$ with coke (C) at a temperature $> 2500\\ {}^\\circ\\mathrm{C}$."
},
{
"label": "B",
"text": "the neutralization of aluminate solution by passing $\\mathrm{CO_2}$ gas to precipitate hydrated alumina ($\\math... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["B", "C", "D"]} | B, C, D | {
"pages": [
26
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"LaTeX: KaTeX: KaTeX parse error: Got group of unknown type: 'internal'"
],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Chemistry_Q12 | 2,022 | 1 | Chemistry | 12 | 2 | multi_correct | false | null | The treatment of galena with $\mathrm{HNO_3}$ produces a gas that is | [] | {
"choices": [
{
"label": "A",
"text": "paramagnetic"
},
{
"label": "B",
"text": "bent in geometry"
},
{
"label": "C",
"text": "an acidic oxide"
},
{
"label": "D",
"text": "colorless"
}
],
"list_I": null,
"list_II": null
} | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "D"]} | A, D | {
"pages": [
26
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Chemistry_Q13 | 2,022 | 1 | Chemistry | 13 | 2 | multi_correct | false | null | Considering the reaction sequence given below, the correct statement(s) is(are)
[FIG_1] | [
"FIG_1"
] | {
"choices": [
{
"label": "A",
"text": "$\\mathbf{P}$ can be reduced to a primary alcohol using $\\mathrm{NaBH_4}$."
},
{
"label": "B",
"text": "Treating $\\mathbf{P}$ with conc. $\\mathrm{NH_4OH}$ solution followed by acidification gives $\\mathbf{Q}$."
},
{
"label":... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["B", "C", "D"]} | B, C, D | {
"pages": [
26
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"second model disagrees: figure count 1 vs 2",
"second model disagrees: text differs (100% / 78% token overlap)"
],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Chemistry_Q14 | 2,022 | 1 | Chemistry | 14 | 2 | multi_correct | false | null | Considering the following reaction sequence,
[FIG_6]
the correct option(s) is(are) | [
"FIG_1",
"FIG_2",
"FIG_3",
"FIG_4",
"FIG_5",
"FIG_6"
] | {
"choices": [
{
"label": "A",
"text": "$\\mathrm{P} = \\mathrm{H_2/Pd,\\ ethanol} \\quad \\mathrm{R} = \\mathrm{NaNO_2/HCl} \\quad \\mathrm{U} = 1.\\ \\mathrm{H_3PO_2} \\quad 2.\\ \\mathrm{KMnO_4 - KOH,\\ heat}$"
},
{
"label": "B",
"text": "$\\mathrm{P} = \\mathrm{Sn/HCl} \\quad \... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "B", "C"]} | Answer: A, B, C | {
"pages": [
27
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"second model disagrees: figure count 5 vs 6",
"second model disagrees: text differs (100% / 86% token overlap)"
],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P1_Chemistry_Q15 | 2,022 | 1 | Chemistry | 15 | 3 | matrix_match | false | null | Match the rate expressions in LIST-I for the decomposition of X with the corresponding profiles provided in LIST-II. $X_s$ and $k$ are constants having appropriate units. | [
"FIG_1",
"FIG_2",
"FIG_3",
"FIG_4",
"FIG_5"
] | {
"choices": [
{
"label": "A",
"text": "$I \\to P$; $II \\to Q$; $III \\to S$; $IV \\to T$"
},
{
"label": "B",
"text": "$I \\to R$; $II \\to S$; $III \\to S$; $IV \\to T$"
},
{
"label": "C",
"text": "$I \\to P$; $II \\to Q$; $III \\to Q$; $IV \\to R$"
},
... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["A"]} | Answer: A | {
"pages": [
29
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 29: 2022_P1_Chemistry_Q15_FIG_1.png and 2022_P1_Chemistry_Q15_FIG_P.png got the same crop (the model's boxes or figure ids are off)",
"page 29: 2022_P1_Chemistry_Q15_FIG_2.png and 2022_P1_Chemistry_Q15_FIG_Q.png got the same cro... | |
2022_P1_Chemistry_Q16 | 2,022 | 1 | Chemistry | 16 | 3 | matrix_match | false | null | LIST-I contains compounds and LIST-II contains reactions
Match each compound in LIST-I with its formation reaction(s) in LIST-II, and choose the correct option | [] | {
"choices": [
{
"label": "A",
"text": "$I \\to Q$; $II \\to P$; $III \\to S$; $IV \\to R$"
},
{
"label": "B",
"text": "$I \\to T$; $II \\to P$; $III \\to Q$; $IV \\to R$"
},
{
"label": "C",
"text": "$I \\to T$; $II \\to R$; $III \\to Q$; $IV \\to P$"
},
... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["D"]} | Answer: D | {
"pages": [
30
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 30: PDF text line not transcribed: 'Match each compound in LIST-I with its formation reaction(s) in LIST-II, and choose the correct'",
"page 30: PDF text line not transcribed: 'Match each metal species in LIST-I with their prope... | |
2022_P1_Chemistry_Q17 | 2,022 | 1 | Chemistry | 17 | 3 | matrix_match | false | null | LIST-I contains metal species and LIST-II contains their properties.
[Given: Atomic number of $\mathrm{Cr} = 24$, $\mathrm{Ru} = 44$, $\mathrm{Fe} = 26$]
Match each metal species in LIST-I with their properties in LIST-II, and choose the correct option | [] | {
"choices": [
{
"label": "A",
"text": "$I \\to R, T$; $II \\to P, S$; $III \\to Q, T$; $IV \\to P, Q$"
},
{
"label": "B",
"text": "$I \\to R, S$; $II \\to P, T$; $III \\to P, Q$; $IV \\to Q, T$"
},
{
"label": "C",
"text": "$I \\to P, R$; $II \\to R, S$; $III \\... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["A"]} | Answer: A | {
"pages": [
30
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 30: PDF text line not transcribed: 'Match each compound in LIST-I with its formation reaction(s) in LIST-II, and choose the correct'",
"page 30: PDF text line not transcribed: 'Match each metal species in LIST-I with their prope... | |
2022_P1_Chemistry_Q18 | 2,022 | 1 | Chemistry | 18 | 3 | matrix_match | false | null | Match the compounds in LIST-I with the observations in LIST-II, and choose the correct option. | [] | {
"choices": [
{
"label": "A",
"text": "$\\mathrm{I} \\to \\mathrm{P}, \\mathrm{Q}; \\mathrm{II} \\to \\mathrm{S}; \\mathrm{III} \\to \\mathrm{Q}, \\mathrm{R}; \\mathrm{IV} \\to \\mathrm{P}$"
},
{
"label": "B",
"text": "$\\mathrm{I} \\to \\mathrm{P}; \\mathrm{II} \\to \\mathrm{R}, ... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["D"]} | D | {
"pages": [
31
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": [
"section 3: box not readable; matches the PDF box of Mathematics"
]
} | |
2022_P2_Mathematics_Q01 | 2,022 | 2 | Mathematics | 1 | 1 | single_digit_integer | false | null | Let $\alpha$ and $\beta$ be real numbers such that $-\frac{\pi}{4} < \beta < 0 < \alpha < \frac{\pi}{4}$. If $\sin(\alpha + \beta) = \frac{1}{3}$ and $\cos(\alpha - \beta) = \frac{2}{3}$, then the greatest integer less than or equal to
$$
\left( \frac{\sin \alpha}{\cos \beta} + \frac{\cos \beta}{\sin \alpha} + \frac{\c... | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 1} | 1 | {
"pages": [
1
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Mathematics_Q02 | 2,022 | 2 | Mathematics | 2 | 1 | single_digit_integer | false | null | If $y(x)$ is the solution of the differential equation
$$
xdy - (y^2 - 4y)dx = 0 \text{ for } x > 0, \quad y(1) = 2,
$$
and the slope of the curve $y = y(x)$ is never zero, then the value of $10\, y(\sqrt{2})$ is ________. | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 8} | 8 | {
"pages": [
1
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Mathematics_Q03 | 2,022 | 2 | Mathematics | 3 | 1 | single_digit_integer | false | null | The greatest integer less than or equal to
$$
\int_1^2 \log_2(x^3 + 1)\, dx + \int_1^{\log_2 9} (2^x - 1)^{\frac{1}{3}}\, dx
$$
is ________. | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 5} | 5 | {
"pages": [
1
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Mathematics_Q04 | 2,022 | 2 | Mathematics | 4 | 1 | single_digit_integer | false | null | The product of all positive real values of $x$ satisfying the equation
$$
x^{(16(\log_5 x)^3 - 68 \log_5 x)} = 5^{-16}
$$
is ________. | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 1} | 1 | {
"pages": [
1
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Mathematics_Q05 | 2,022 | 2 | Mathematics | 5 | 1 | single_digit_integer | false | null | If
$$
\beta = \lim_{x \to 0} \frac{e^{x^3} - (1 - x^3)^{\frac{1}{3}} + ((1 - x^2)^{\frac{1}{2}} - 1) \sin x}{x \sin^2 x},
$$
then the value of $6\beta$ is ________. | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 5} | 5 | {
"pages": [
2
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Mathematics_Q06 | 2,022 | 2 | Mathematics | 6 | 1 | single_digit_integer | false | null | Let $\beta$ be a real number. Consider the matrix
$$
A = \begin{pmatrix} \beta & 0 & 1 \\ 2 & 1 & -2 \\ 3 & 1 & -2 \end{pmatrix}.
$$
If $A^7 - (\beta - 1)A^6 - \beta A^5$ is a singular matrix, then the value of $9\beta$ is ________. | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 3} | 3 | {
"pages": [
2
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Mathematics_Q07 | 2,022 | 2 | Mathematics | 7 | 1 | single_digit_integer | false | null | Consider the hyperbola
$$
\frac{x^2}{100} - \frac{y^2}{64} = 1
$$
with foci at $S$ and $S_1$, where $S$ lies on the positive $x$-axis. Let $P$ be a point on the hyperbola, in the first quadrant. Let $\angle SPS_1 = \alpha$, with $\alpha < \frac{\pi}{2}$. The straight line passing through the point $S$ and having the sa... | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 7} | 7 | {
"pages": [
2
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Mathematics_Q08 | 2,022 | 2 | Mathematics | 8 | 1 | single_digit_integer | false | null | Consider the functions $f,\ g : \mathbb{R} \to \mathbb{R}$ defined by
$$
f(x) = x^2 + \frac{5}{12} \quad \text{and} \quad g(x) =
\begin{cases}
2\left(1 - \frac{4|x|}{3}\right), & |x| \leq \frac{3}{4}, \\
0, & |x| > \frac{3}{4}.
\end{cases}
$$
If $\alpha$ is the area of the region
$$
\left\{ (x, y) \in \mathbb{R} \time... | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 6} | 6 | {
"pages": [
2
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Mathematics_Q09 | 2,022 | 2 | Mathematics | 9 | 2 | multi_correct | false | null | Let $PQRS$ be a quadrilateral in a plane, where $QR = 1$, $\angle PQR = \angle QRS = 70^\circ$, $\angle PQS = 15^\circ$ and $\angle PRS = 40^\circ$. If $\angle RPS = \theta^\circ$, $PQ = \alpha$ and $PS = \beta$, then the interval(s) that contain(s) the value of $4\,\alpha\,\beta\,\sin\theta^\circ$ is/are | [] | {
"choices": [
{
"label": "A",
"text": "$(0,\\,\\sqrt{2})$"
},
{
"label": "B",
"text": "$(1,\\,2)$"
},
{
"label": "C",
"text": "$(\\sqrt{2},\\,3)$"
},
{
"label": "D",
"text": "$(2\\sqrt{2},\\,3\\sqrt{2})$"
}
],
"list_I": null,
"list... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "B"]} | A, B | {
"pages": [
3
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Mathematics_Q10 | 2,022 | 2 | Mathematics | 10 | 2 | multi_correct | false | null | Let
$$
\alpha = \sum_{k=1}^{\infty} \sin^{2k} \left( \frac{\pi}{6} \right) \,.
$$
Let $g : [0, 1] \to \mathbb{R}$ be the function defined by
$$
g(x) = 2^{\alpha x} + 2^{\alpha (1-x)} \,.
$$
Then, which of the following statements is/are TRUE ? | [] | {
"choices": [
{
"label": "A",
"text": "The minimum value of $g(x)$ is $2^{\\frac{7}{6}}$"
},
{
"label": "B",
"text": "The maximum value of $g(x)$ is $1 + 2^{\\frac{1}{3}}$"
},
{
"label": "C",
"text": "The function $g(x)$ attains its maximum at more than one poi... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "B", "C"]} | Answer: A, B, C | {
"pages": [
4
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Mathematics_Q11 | 2,022 | 2 | Mathematics | 11 | 2 | multi_correct | false | null | Let $\bar{z}$ denote the complex conjugate of a complex number $z$. If $z$ is a non-zero complex number for which both real and imaginary parts of
$$
(\bar{z})^2 + \frac{1}{z^2}
$$
are integers, then which of the following is/are possible value(s) of $|z|$ ? | [] | {
"choices": [
{
"label": "A",
"text": "$\\left( \\frac{43 + 3\\sqrt{205}}{2} \\right)^{\\frac{1}{4}}$"
},
{
"label": "B",
"text": "$\\left( \\frac{7 + \\sqrt{33}}{4} \\right)^{\\frac{1}{4}}$"
},
{
"label": "C",
"text": "$\\left( \\frac{9 + \\sqrt{65}}{4} \\righ... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A"]} | Answer: A | {
"pages": [
4
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Mathematics_Q12 | 2,022 | 2 | Mathematics | 12 | 2 | multi_correct | false | null | Let $G$ be a circle of radius $R > 0$. Let $G_1, G_2, \ldots, G_n$ be $n$ circles of equal radius $r > 0$. Suppose each of the $n$ circles $G_1, G_2, \ldots, G_n$ touches the circle $G$ externally. Also, for $i = 1, 2, \ldots, n-1$, the circle $G_i$ touches $G_{i+1}$ externally, and $G_n$ touches $G_1$ externally. Then... | [] | {
"choices": [
{
"label": "A",
"text": "If $n = 4$, then $(\\sqrt{2} - 1)r < R$"
},
{
"label": "B",
"text": "If $n = 5$, then $r < R$"
},
{
"label": "C",
"text": "If $n = 8$, then $(\\sqrt{2} - 1)r < R$"
},
{
"label": "D",
"text": "If $n = 12... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["C", "D"]} | Answer: C, D | {
"pages": [
5
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Mathematics_Q13 | 2,022 | 2 | Mathematics | 13 | 2 | multi_correct | false | null | Let $\hat{i}, \hat{j}$ and $\hat{k}$ be the unit vectors along the three positive coordinate axes. Let
$$
\begin{aligned}
\vec{a} &= 3\hat{i} + \hat{j} - \hat{k} \, , \\
\vec{b} &= \hat{i} + b_2\hat{j} + b_3\hat{k} \, , \qquad b_2, b_3 \in \mathbb{R} \, , \\
\vec{c} &= c_1\hat{i} + c_2\hat{j} + c_3\hat{k} \, , \qquad c... | [] | {
"choices": [
{
"label": "A",
"text": "$\\vec{a} \\cdot \\vec{c} = 0$"
},
{
"label": "B",
"text": "$\\vec{b} \\cdot \\vec{c} = 0$"
},
{
"label": "C",
"text": "$|\\vec{b}| > \\sqrt{10}$"
},
{
"label": "D",
"text": "$|\\vec{c}| \\leq \\sqrt{11... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["B", "C", "D"]} | Answer: B, C, D | {
"pages": [
5
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"LaTeX: LaTeX command outside $...$: \\begin"
],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Mathematics_Q14 | 2,022 | 2 | Mathematics | 14 | 2 | multi_correct | false | null | For $x \in \mathbb{R}$, let the function $y(x)$ be the solution of the differential equation
$$
\frac{dy}{dx} + 12y = \cos\left(\frac{\pi}{12}x\right), \quad y(0) = 0 \,.
$$
Then, which of the following statements is/are TRUE ? | [] | {
"choices": [
{
"label": "A",
"text": "$y(x)$ is an increasing function"
},
{
"label": "B",
"text": "$y(x)$ is a decreasing function"
},
{
"label": "C",
"text": "There exists a real number $\\beta$ such that the line $y = \\beta$ intersects the curve $y = y(x)$... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["C"]} | C | {
"pages": [
6
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Mathematics_Q15 | 2,022 | 2 | Mathematics | 15 | 3 | single_correct | false | null | Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls are distinct. In how many different ways can 10 balls be chosen from these 4 boxes so that from each box at least one red ball and one blue ball are chosen ? | [] | {
"choices": [
{
"label": "A",
"text": "21816"
},
{
"label": "B",
"text": "85536"
},
{
"label": "C",
"text": "12096"
},
{
"label": "D",
"text": "156816"
}
],
"list_I": null,
"list_II": null
} | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["A"]} | Answer: A | {
"pages": [
7
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Mathematics_Q16 | 2,022 | 2 | Mathematics | 16 | 3 | single_correct | false | null | If $M = \left( \begin{array}{cc} \frac{5}{2} & \frac{3}{2} \\ -\frac{3}{2} & -\frac{1}{2} \end{array} \right)$, then which of the following matrices is equal to $M^{2022}$ ? | [] | {
"choices": [
{
"label": "A",
"text": "$\\left( \\begin{array}{cc} 3034 & 3033 \\\\ -3033 & -3032 \\end{array} \\right)$"
},
{
"label": "B",
"text": "$\\left( \\begin{array}{cc} 3034 & -3033 \\\\ 3033 & -3032 \\end{array} \\right)$"
},
{
"label": "C",
"text": "... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["A"]} | Answer: A | {
"pages": [
7
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Mathematics_Q17 | 2,022 | 2 | Mathematics | 17 | 3 | single_correct | false | null | Suppose that
Box-I contains 8 red, 3 blue and 5 green balls,
Box-II contains 24 red, 9 blue and 15 green balls,
Box-III contains 1 blue, 12 green and 3 yellow balls,
Box-IV contains 10 green, 16 orange and 6 white balls.
A ball is chosen randomly from Box-I; call this ball $b$. If $b$ is red then a ball is chosen ... | [] | {
"choices": [
{
"label": "A",
"text": "$\\frac{15}{256}$"
},
{
"label": "B",
"text": "$\\frac{3}{16}$"
},
{
"label": "C",
"text": "$\\frac{5}{52}$"
},
{
"label": "D",
"text": "$\\frac{1}{8}$"
}
],
"list_I": null,
"list_II": null
} | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["C"]} | C | {
"pages": [
8
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Mathematics_Q18 | 2,022 | 2 | Mathematics | 18 | 3 | single_correct | false | null | For positive integer $n$, define
$$
f(n) = n + \frac{16 + 5n - 3n^2}{4n + 3n^2} + \frac{32 + n - 3n^2}{8n + 3n^2} + \frac{48 - 3n - 3n^2}{12n + 3n^2} + \cdots + \frac{25n - 7n^2}{7n^2} \ .
$$
Then, the value of $\lim_{n \to \infty} f(n)$ is equal to | [] | {
"choices": [
{
"label": "A",
"text": "$3 + \\frac{4}{3} \\log_e 7$"
},
{
"label": "B",
"text": "$4 - \\frac{3}{4} \\log_e \\left(\\frac{7}{3}\\right)$"
},
{
"label": "C",
"text": "$4 - \\frac{4}{3} \\log_e \\left(\\frac{7}{3}\\right)$"
},
{
"labe... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["B"]} | B | {
"pages": [
8
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Physics_Q01 | 2,022 | 2 | Physics | 1 | 1 | single_digit_integer | false | null | A particle of mass $1\,kg$ is subjected to a force which depends on the position as $\vec{F} = -k(x\,\hat{i} + y\,\hat{j})\,kg\,m\,s^{-2}$ with $k = 1\,kg\,s^{-2}$. At time $t = 0$, the particle's position $\vec{r} = \left(\frac{1}{\sqrt{2}}\,\hat{i} + \sqrt{2}\,\hat{j}\right)m$ and its velocity $\vec{v} = \left(-\sqrt... | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 3} | 3 | {
"pages": [
9
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Physics_Q02 | 2,022 | 2 | Physics | 2 | 1 | single_digit_integer | false | null | In a radioactive decay chain reaction, $^{230}_{90}\mathrm{Th}$ nucleus decays into $^{214}_{84}\mathrm{Po}$ nucleus. The ratio of the number of $\alpha$ to number of $\beta^{-}$ particles emitted in this process is $\underline{\qquad}$. | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 2} | 2 | {
"pages": [
9
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Physics_Q03 | 2,022 | 2 | Physics | 3 | 1 | single_digit_integer | false | null | Two resistances $R_1 = X\,\Omega$ and $R_2 = 1\,\Omega$ are connected to a wire $AB$ of uniform resistivity, as shown in the figure. The radius of the wire varies linearly along its axis from $0.2\,mm$ at $A$ to $1\,mm$ at $B$. A galvanometer (G) connected to the center of the wire, $50\,cm$ from each end along its axi... | [
"FIG_1"
] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 5} | 5 | {
"pages": [
9
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": []
} | |
2022_P2_Physics_Q04 | 2,022 | 2 | Physics | 4 | 1 | single_digit_integer | false | null | In a particular system of units, a physical quantity can be expressed in terms of the electric charge $e$, electron mass $m_e$, Planck's constant $h$, and Coulomb's constant $k = \frac{1}{4\pi\epsilon_0}$, where $\epsilon_0$ is the permittivity of vacuum. In terms of these physical constants, the dimension of the magne... | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 4} | 4 | {
"pages": [
10
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Physics_Q05 | 2,022 | 2 | Physics | 5 | 1 | single_digit_integer | false | null | Consider a configuration of $n$ identical units, each consisting of three layers. The first layer is a column of air of height $h = \frac{1}{3} \, \mathrm{cm}$, and the second and third layers are of equal thickness $d = \frac{\sqrt{3}-1}{2} \, \mathrm{cm}$, and refractive indices $\mu_1 = \sqrt{\frac{3}{2}}$ and $\mu_... | [
"FIG_1"
] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 4} | 4 | {
"pages": [
10
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Physics_Q06 | 2,022 | 2 | Physics | 6 | 1 | single_digit_integer | false | null | A charge $q$ is surrounded by a closed surface consisting of an inverted cone of height $h$ and base radius $R$, and a hemisphere of radius $R$ as shown in the figure. The electric flux through the conical surface is $\frac{n\,q}{6\,\epsilon_0}$ (in SI units). The value of $n$ is ______.
[FIG_2] | [
"FIG_2"
] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 3} | 3 | {
"pages": [
10
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Physics_Q07 | 2,022 | 2 | Physics | 7 | 1 | single_digit_integer | false | null | On a frictionless horizontal plane, a bob of mass $m = 0.1 \, \mathrm{kg}$ is attached to a spring with natural length $l_0 = 0.1 \, \mathrm{m}$. The spring constant is $k_1 = 0.009 \, \mathrm{N} \, \mathrm{m}^{-1}$ when the length of the spring $l > l_0$ and is $k_2 = 0.016 \, \mathrm{N} \, \mathrm{m}^{-1}$ when $l < ... | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 6} | 6 | {
"pages": [
11
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Physics_Q08 | 2,022 | 2 | Physics | 8 | 1 | single_digit_integer | false | null | An object and a concave mirror of focal length $f = 10 \, \mathrm{cm}$ both move along the principal axis of the mirror with constant speeds. The object moves with speed $V_0 = 15 \, \mathrm{cm} \, \mathrm{s}^{-1}$ towards the mirror with respect to a laboratory frame. The distance between the object and the mirror at ... | [
"FIG_1"
] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 3} | 3 | {
"pages": [
11
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Physics_Q09 | 2,022 | 2 | Physics | 9 | 2 | multi_correct | false | null | In the figure, the inner (shaded) region $A$ represents a sphere of radius $r_A = 1$, within which the electrostatic charge density varies with the radial distance $r$ from the center as $\rho_A = kr$, where $k$ is positive. In the spherical shell $B$ of outer radius $r_B$, the electrostatic charge density varies as $\... | [
"FIG_1"
] | {
"choices": [
{
"label": "A",
"text": "If $r_B = \\sqrt{\\frac{3}{2}}$, then the electric field is zero everywhere outside $B$."
},
{
"label": "B",
"text": "If $r_B = \\frac{3}{2}$, then the electric potential just outside $B$ is $\\frac{k}{\\varepsilon_0}$."
},
{
"l... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["B"]} | B | {
"pages": [
12
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"second model disagrees: figure count 1 vs 2"
],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Physics_Q10 | 2,022 | 2 | Physics | 10 | 2 | multi_correct | false | null | In Circuit-1 and Circuit-2 shown in the figures, $R_1 = 1\ \Omega$, $R_2 = 2\ \Omega$ and $R_3 = 3\ \Omega$. $P_1$ and $P_2$ are the power dissipations in Circuit-1 and Circuit-2 when the switches $S_1$ and $S_2$ are in open conditions, respectively. $Q_1$ and $Q_2$ are the power dissipations in Circuit-1 and Circuit-2... | [
"FIG_1",
"FIG_2"
] | {
"choices": [
{
"label": "A",
"text": "When a voltage source of $6\\ V$ is connected across A and B in both circuits, $P_1 < P_2$."
},
{
"label": "B",
"text": "When a constant current source of $2\\ Amp$ is connected across A and B in both circuits, $P_1 > P_2$."
},
{
... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "B", "C"]} | A, B, C | {
"pages": [
13
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Physics_Q11 | 2,022 | 2 | Physics | 11 | 2 | multi_correct | false | null | A bubble has surface tension $S$. The ideal gas inside the bubble has ratio of specific heats $\gamma = \frac{5}{3}$. The bubble is exposed to the atmosphere and it always retains its spherical shape. When the atmospheric pressure is $P_{a1}$, the radius of the bubble is found to be $r_1$ and the temperature of the enc... | [] | {
"choices": [
{
"label": "A",
"text": "If the surface of the bubble is a perfect heat insulator, then $\\left(\\frac{r_1}{r_2}\\right)^5 = \\frac{P_{a2} + \\frac{2S}{r_2}}{P_{a1} + \\frac{2S}{r_1}}$."
},
{
"label": "B",
"text": "If the surface of the bubble is a perfect heat insul... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["C", "D"]} | C, D | {
"pages": [
13
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Physics_Q12 | 2,022 | 2 | Physics | 12 | 2 | multi_correct | false | null | A disk of radius $R$ with uniform positive charge density $\sigma$ is placed on the $xy$ plane with its center at the origin. The Coulomb potential along the $z$-axis is
$$
V(z) = \frac{\sigma}{2\varepsilon_0} \left( \sqrt{R^2 + z^2} - z \right).
$$
A particle of positive charge $q$ is placed initially at rest at a poi... | [] | {
"choices": [
{
"label": "A",
"text": "For $\\beta = \\frac{1}{4}$ and $z_0 = \\frac{25}{7}R$, the particle reaches the origin."
},
{
"label": "B",
"text": "For $\\beta = \\frac{1}{4}$ and $z_0 = \\frac{3}{7}R$, the particle reaches the origin."
},
{
"label": "C",
... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "C", "D"]} | A, C, D | {
"pages": [
14
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Physics_Q13 | 2,022 | 2 | Physics | 13 | 2 | multi_correct | false | null | A double slit setup is shown in the figure. One of the slits is in medium 2 of refractive index $n_2$. The other slit is at the interface of this medium with another medium 1 of refractive index $n_1 (\ne n_2)$. The line joining the slits is perpendicular to the interface and the distance between the slits is $d$. The ... | [
"FIG_1"
] | {
"choices": [
{
"label": "A",
"text": "The phase difference between the two rays is independent of $d$."
},
{
"label": "B",
"text": "The two rays interfere constructively at the detector."
},
{
"label": "C",
"text": "The phase difference between the two rays de... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["A", "B"]} | A, B | {
"pages": [
14
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Physics_Q14 | 2,022 | 2 | Physics | 14 | 2 | multi_correct | false | null | In the given $P$-$V$ diagram, a monoatomic gas ($\gamma = \frac{5}{3}$) is first compressed adiabatically from state $A$ to state $B$. Then it expands isothermally from state $B$ to state $C$. [Given: $\left(\frac{1}{3}\right)^{0.6} \simeq 0.5$, $\ln 2 \simeq 0.7$].
[FIG_1]
Which of the following statement(s) is(are)... | [
"FIG_1"
] | {
"choices": [
{
"label": "A",
"text": "The magnitude of the total work done in the process $A \\to B \\to C$ is $144\\,\\mathrm{kJ}$."
},
{
"label": "B",
"text": "The magnitude of the work done in the process $B \\to C$ is $84\\,\\mathrm{kJ}$."
},
{
"label": "C",
... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | bonus | {"kind": "bonus", "note": "Question Dropped Marks for all"} | Question Dropped Marks for all | {
"pages": [
15
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Physics_Q15 | 2,022 | 2 | Physics | 15 | 3 | single_correct | false | null | A flat surface of a thin uniform disk $A$ of radius $R$ is glued to a horizontal table. Another thin uniform disk $B$ of mass $M$ and with the same radius $R$ rolls without slipping on the circumference of $A$, as shown in the figure. A flat surface of $B$ also lies on the plane of the table. The center of mass of $B$ ... | [
"FIG_1"
] | {
"choices": [
{
"label": "A",
"text": "2"
},
{
"label": "B",
"text": "5"
},
{
"label": "C",
"text": ") $\\frac{7}{2}$"
},
{
"label": "D",
"text": ") $\\frac{9}{2}$"
}
],
"list_I": null,
"list_II": null
} | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["B"]} | Answer: B | {
"pages": [
17
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"second model disagrees: figure count 1 vs 2"
],
"notes": []
} | |
2022_P2_Physics_Q16 | 2,022 | 2 | Physics | 16 | 3 | single_correct | false | null | When light of a given wavelength is incident on a metallic surface, the minimum potential needed to stop the emitted photoelectrons is $6.0\,\mathrm{V}$. This potential drops to $0.6\,\mathrm{V}$ if another source with wavelength four times that of the first one and intensity half of the first one is used. What are the... | [] | {
"choices": [
{
"label": "A",
"text": "$1.72 \\times 10^{-7}\\,\\mathrm{m},\\,1.20\\,\\mathrm{eV}$"
},
{
"label": "B",
"text": "$1.72 \\times 10^{-7}\\,\\mathrm{m},\\,5.60\\,\\mathrm{eV}$"
},
{
"label": "C",
"text": "$3.78 \\times 10^{-7}\\,\\mathrm{m},\\,5.60\... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["A"]} | Answer: A | {
"pages": [
17
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": []
} | |
2022_P2_Physics_Q17 | 2,022 | 2 | Physics | 17 | 3 | single_correct | false | null | Area of the cross-section of a wire is measured using a screw gauge. The pitch of the main scale is $0.5\ \mathrm{mm}$. The circular scale has 100 divisions and for one full rotation of the circular scale, the main scale shifts by two divisions. The measured readings are listed below.
$$
\begin{array}{|l|l|l|}
\hline
... | [] | {
"choices": [
{
"label": "A",
"text": "$2.22 \\pm 0.02\\ \\mathrm{mm},\\ \\pi(1.23 \\pm 0.02)\\mathrm{mm}^2$"
},
{
"label": "B",
"text": "$2.22 \\pm 0.01\\ \\mathrm{mm},\\ \\pi(1.23 \\pm 0.01)\\mathrm{mm}^2$"
},
{
"label": "C",
"text": "$2.14 \\pm 0.02\\ \\math... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | bonus | {"kind": "bonus", "note": "Question Dropped Marks for All"} | Question Dropped Marks for All | {
"pages": [
18
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"answer key read by one model only (primary 'Question Dropped Marks for All', second None)"
],
"notes": []
} | |
2022_P2_Physics_Q18 | 2,022 | 2 | Physics | 18 | 3 | single_correct | false | null | Which one of the following options represents the magnetic field $\vec{B}$ at O due to the current flowing in the given wire segments lying on the $xy$ plane?
[FIG_1] | [
"FIG_1"
] | {
"choices": [
{
"label": "A",
"text": "$\\vec{B} = \\frac{-\\mu_o I}{L} \\left( \\frac{3}{2} + \\frac{1}{4\\sqrt{2}\\pi} \\right) \\hat{k}$"
},
{
"label": "B",
"text": "$\\vec{B} = -\\frac{\\mu_o I}{L} \\left( \\frac{3}{2} + \\frac{1}{2\\sqrt{2}\\pi} \\right) \\hat{k}$"
},
... | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | option | {"kind": "option", "value": ["C"]} | Answer: C | {
"pages": [
18
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"second model disagrees: text differs (100% / 90% token overlap)"
],
"notes": []
} | |
2022_P2_Chemistry_Q01 | 2,022 | 2 | Chemistry | 1 | 1 | single_digit_integer | false | null | Concentration of $\mathrm{H_2SO_4}$ and $\mathrm{Na_2SO_4}$ in a solution is $1\ \mathrm{M}$ and $1.8 \times 10^{-2}\ \mathrm{M}$, respectively. Molar solubility of $\mathrm{PbSO_4}$ in the same solution is $X \times 10^{-Y}\ \mathrm{M}$ (expressed in scientific notation). The value of $Y$ is ________.
[Given: Solubil... | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 6} | 6 | {
"pages": [
19
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": [
"section 1: box not readable; matches the PDF box of Mathematics"
]
} | |
2022_P2_Chemistry_Q02 | 2,022 | 2 | Chemistry | 2 | 1 | single_digit_integer | false | null | An aqueous solution is prepared by dissolving $0.1\ \mathrm{mol}$ of an ionic salt in $1.8\ \mathrm{kg}$ of water at $35\ ^\circ\mathrm{C}$. The salt remains $90\%$ dissociated in the solution. The vapour pressure of the solution is $59.724\ \mathrm{mm}$ of Hg. Vapor pressure of water at $35\ ^\circ\mathrm{C}$ is $60.0... | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 5} | 5 | {
"pages": [
19,
20
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 20: 2022_P2_Chemistry_Q02_FIG_1.png and 2022_P2_Chemistry_Q03_FIG_1.png got the same crop (the model's boxes or figure ids are off)",
"second model disagrees: figure count 1 vs 0",
"second model disagrees: text differs (66% ... | |
2022_P2_Chemistry_Q03 | 2,022 | 2 | Chemistry | 3 | 1 | single_digit_integer | false | null | Consider the strong electrolytes $Z_mX_n$, $U_mY_p$ and $V_mX_n$. Limiting molar conductivity ($\Lambda^0$) of $U_mY_p$ and $V_mX_n$ are 250 and 440 $\mathrm{S\,cm^2\,mol^{-1}}$, respectively. The value of $(m + n + p)$ is _______.
Given:
$$
\begin{array}{|c|c|c|c|c|c|}
\hline
\text{Ion} & Z^{n+} & U^{p+} & V^{n+} & X... | [
"FIG_1"
] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 7} | 7 | {
"pages": [
20
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 20: 2022_P2_Chemistry_Q02_FIG_1.png and 2022_P2_Chemistry_Q03_FIG_1.png got the same crop (the model's boxes or figure ids are off)",
"second model disagrees: figure count 0 vs 1",
"second model disagrees: text differs (83% ... | |
2022_P2_Chemistry_Q04 | 2,022 | 2 | Chemistry | 4 | 1 | single_digit_integer | false | null | The reaction of Xe and $O_2F_2$ gives a Xe compound $\mathbf{P}$. The number of moles of HF produced by the complete hydrolysis of 1 mol of $\mathbf{P}$ is _______. | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | any_of | {"kind": "any_of", "value": [{"kind": "number", "value": 2}, {"kind": "number", "value": 4}, {"kind": "number", "value": 6}]} | 2 or 4 or 6 | {
"pages": [
20
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 20: 2022_P2_Chemistry_Q02_FIG_1.png and 2022_P2_Chemistry_Q03_FIG_1.png got the same crop (the model's boxes or figure ids are off)"
],
"notes": [
"section 1: box not readable; matches the PDF box of Mathematics"
]
} | |
2022_P2_Chemistry_Q05 | 2,022 | 2 | Chemistry | 5 | 1 | single_digit_integer | false | null | Thermal decomposition of $\mathrm{AgNO_3}$ produces two paramagnetic gases. The total number of electrons present in the antibonding molecular orbitals of the gas that has the higher number of unpaired electrons is _______. | [] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 6} | 6 | {
"pages": [
20
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [
"page 20: 2022_P2_Chemistry_Q02_FIG_1.png and 2022_P2_Chemistry_Q03_FIG_1.png got the same crop (the model's boxes or figure ids are off)"
],
"notes": [
"section 1: box not readable; matches the PDF box of Mathematics"
]
} | |
2022_P2_Chemistry_Q06 | 2,022 | 2 | Chemistry | 6 | 1 | single_digit_integer | false | null | The number of isomeric tetraenes (NOT containing $sp$-hybridized carbon atoms) that can be formed from the following reaction sequence is ________.
[FIG_1] | [
"FIG_1"
] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 2} | 2 | {
"pages": [
21
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": [
"section 1: box not readable; matches the PDF box of Mathematics"
]
} | |
2022_P2_Chemistry_Q07 | 2,022 | 2 | Chemistry | 7 | 1 | single_digit_integer | false | null | The number of $-CH_2-$ (methylene) groups in the product formed from the following reaction sequence is ________.
[FIG_2] | [
"FIG_2"
] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 0} | 0 | {
"pages": [
21
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": [
"section 1: box not readable; matches the PDF box of Mathematics"
]
} | |
2022_P2_Chemistry_Q08 | 2,022 | 2 | Chemistry | 8 | 1 | single_digit_integer | false | null | The total number of chiral molecules formed from one molecule of $\mathbf{P}$ on complete ozonolysis ($O_3$, $Zn/H_2O$) is ________.
[FIG_3] | [
"FIG_3"
] | null | {
"full": 3,
"zero": 0,
"negative": -1,
"partial": []
} | number | {"kind": "number", "value": 2} | 2 | {
"pages": [
21
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "auto_ok",
"reviewer": null,
"flags": [],
"notes": [
"section 1: box not readable; matches the PDF box of Mathematics"
]
} | |
2022_P2_Chemistry_Q09 | 2,022 | 2 | Chemistry | 9 | 2 | multi_correct | false | null | To check the principle of multiple proportions, a series of pure binary compounds ($P_m Q_n$) were analyzed and their composition is tabulated below. The correct option(s) is(are)
$$\begin{array}{|c|c|c|} \hline \text{Compound} & \text{Weight \% of P} & \text{Weight \% of Q} \\ \hline 1 & 50 & 50 \\ \hline 2 & 44.4 & ... | [] | {
"choices": [
{
"label": "A",
"text": "If empirical formula of compound 3 is $P_3Q_4$, then the empirical formula of compound 2 is $P_3Q_5$."
},
{
"label": "B",
"text": "If empirical formula of compound 3 is $P_3Q_2$ and atomic weight of element P is 20, then the atomic weight of ... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["B", "C"]} | B, C | {
"pages": [
22
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} | |
2022_P2_Chemistry_Q10 | 2,022 | 2 | Chemistry | 10 | 2 | multi_correct | false | null | The correct option(s) about entropy (S) is(are) [R = gas constant, F = Faraday constant, T = Temperature] | [] | {
"choices": [
{
"label": "A",
"text": "For the reaction, $\\mathrm{M}(s) + 2\\mathrm{H}^{+}(aq) \\rightarrow \\mathrm{H}_{2}(g) + \\mathrm{M}^{2+}(aq)$, if $\\frac{dE_{cell}}{dT} = \\frac{R}{F}$, then the entropy change of the reaction is R (assume that entropy and internal energy changes are tempera... | {
"full": 4,
"zero": 0,
"negative": -2,
"partial": [
{
"marks": 3,
"condition": "If all the four options are correct but ONLY three options are chosen;"
},
{
"marks": 2,
"condition": "If three or more options are correct but ONLY two options are chosen, both of which are corr... | option | {"kind": "option", "value": ["B", "C", "D"]} | B, C, D | {
"pages": [
23
],
"extractor": "qwen/qwen3-vl-235b-a22b-instruct",
"prompt": "v6"
} | {
"status": "model_verified",
"reviewer": "claude-opus-5-5",
"flags": [],
"notes": [
"section 2: values from reviewed corrections"
]
} |
End of preview. Expand in Data Studio
JEE Advanced 2022–2026
All 510 questions from the ten JEE Advanced papers of 2022–2026 (Paper 1 and Paper 2 of each year), in English. Each question comes with:
- its official answer from the final answer key
- its marking scheme
- the figures it needs: 279 images, used by 155 questions
JEE Advanced is the entrance exam of the Indian Institutes of Technology (IITs). Its Mathematics, Physics and Chemistry questions need multi-step reasoning, and many depend on a diagram, a graph or a chemical structure. That makes the dataset a hard benchmark for text and vision-language models.
Text is Markdown with LaTeX ($...$ and $$...$$). Every string renders with KaTeX.
Contents
| year | paper | Mathematics | Physics | Chemistry | questions | max marks |
|---|---|---|---|---|---|---|
| 2022 | 1 | 18 | 18 | 18 | 54 | 180 |
| 2022 | 2 | 18 | 18 | 18 | 54 | 180 |
| 2023 | 1 | 17 | 17 | 17 | 51 | 180 |
| 2023 | 2 | 17 | 17 | 17 | 51 | 180 |
| 2024 | 1 | 17 | 17 | 17 | 51 | 180 |
| 2024 | 2 | 17 | 17 | 17 | 51 | 180 |
| 2025 | 1 | 16 | 16 | 16 | 48 | 180 |
| 2025 | 2 | 16 | 16 | 16 | 48 | 180 |
| 2026 | 1 | 16 | 16 | 16 | 48 | 180 |
| 2026 | 2 | 18 | 18 | 18 | 54 | 180 |
| type | questions |
|---|---|
numerical |
129 |
multi_correct |
120 |
single_correct |
108 |
integer |
72 |
matrix_match |
57 |
single_digit_integer |
24 |
What each type means:
single_correct: exactly one of options A–D.multi_correct: one or more of A–D, with partial marks.matrix_match: match List-I to List-II, then pick one of options A–D.integerandsingle_digit_integer: a non-negative integer.numerical: a real number, usually to two decimal places.
36 questions are paragraph-based: groups of questions share one passage.
Quick start
import json
from datasets import load_dataset
ds = load_dataset("propar2750/jee-advanced", split="test")
q = ds[0]
print(q["question_text"])
answer = json.loads(q["correct_answer"]) # e.g. {"kind": "option", "value": ["A", "C"]}
for name, img in zip(q["image_ids"], q["images"]): # PIL images
print(name, img.size) # name matches the [FIG_1]-style placeholder in the text
Fields
| field | type | description |
|---|---|---|
id |
string | {year}_P{paper}_{subject}_Q{nn}, e.g. 2024_P2_Physics_Q07 |
year, paper |
int | 2022–2026; 1 or 2 |
subject |
string | Mathematics, Physics or Chemistry |
q_number, section |
int | question number within the subject, and the paper section it is in |
type |
string | see the table above |
is_paragraph, paragraph |
bool, struct | for paragraph-based questions, the shared passage (id, label, text); otherwise false and null |
question_text |
string | the question (Markdown + LaTeX), with figure placeholders such as [FIG_1] |
images |
list of images | the figures, as PNG crops of the paper |
image_ids |
list of strings | the name of each image, in the same order. FIG_1… are question figures, PFIG_1… passage figures, FIG_A… option figures, and FIG_P… list-entry figures. Each name appears as [name] in the text, options or passage at the point where it is printed |
options |
struct | choices (label A–D and text); for matrix_match, also list_I and list_II. Null for numeric types |
marking |
struct | marks for a full answer, zero (unanswered) and negative (wrong). partial holds the paper's partial-marking rules (marks, condition) |
answer_kind |
string | option, number, range, any_of or bonus; the same as the kind inside correct_answer |
correct_answer |
JSON string | the official answer, see below |
answer_raw |
string | the answer exactly as the official key prints it |
source |
struct | the PDF page(s) the question is on, the extraction model, and the prompt version |
review |
struct | how the question was checked: status, reviewer, flags and notes, see Review status |
Answers
correct_answer is stored as a JSON string because its shape depends on its kind:
| kind | example | correct when |
|---|---|---|
option |
{"kind": "option", "value": ["A", "C"]} |
the chosen set of options equals value |
number |
{"kind": "number", "value": 3} |
integer types: exactly value. numerical: within ±0.01 |
range |
{"kind": "range", "min": 2.35, "max": 2.37} |
min ≤ answer ≤ max, inclusive |
any_of |
{"kind": "any_of", "value": [<answer>, ...]} |
the answer matches any one of the alternatives. Used for 16 questions where the key accepts more than one answer |
bonus |
{"kind": "bonus"} |
the question was dropped ("marks to all"), see below |
7 questions were dropped by the official key, which gives marks to every candidate: 2022_P1_Physics_Q15, 2022_P2_Physics_Q14, 2022_P2_Physics_Q17, 2023_P2_Physics_Q16, 2023_P2_Physics_Q17, 2024_P2_Chemistry_Q11, 2025_P2_Physics_Q04.
- Measuring accuracy: leave them out, e.g.
ds.filter(lambda q: q["answer_kind"] != "bonus"). - Reproducing official paper totals: award them full marks.
For multi_correct, partial marks follow the paper's own rules, stored in marking.partial as each rule's marks and condition.
How it was built
- The official question papers and final answer keys were downloaded as PDFs.
- Each page was rendered and transcribed by
qwen/qwen3-vl-235b-a22b-instruct, using prompt v6. z-ai/glm-4.6vtranscribed every page independently as a second opinion.- Figures were cropped from the PDF, using the PDF's embedded image boxes where available.
- The answer keys were parsed. For 2023–2026 they were read from the coloured answer text in the PDFs. For 2022, they were read from page images by a vision model, because that key is partly scanned.
- Automatic checks then compare the two transcriptions with each other and with the PDF's text layer. They also verify answer format, option count, figure placeholders, marking against the printed section instructions, and that every string renders in KaTeX.
Any question that failed a check was reviewed and corrected against the page images. Corrections are applied on top of the extraction, so they survive a rebuild.
The extraction models are open-source models only.
Review status
review.status says who checked each question:
| status | questions | meaning |
|---|---|---|
auto_ok |
349 | passed every automatic check, and both models agreed. Not individually reviewed |
model_verified |
160 | failed a check, then reviewed and corrected where needed by a model (review.reviewer, e.g. claude-opus-5-5) against the page images and the key |
human_verified |
1 | checked by a person |
Most questions have not been checked by a human. For flagged questions, review.flags lists the checks that failed before review; review.notes lists informational messages. If you find an error, please open a discussion on this repository.
Raw files
jsonl/ holds the database exactly as built:
questions.jsonl: one record per question.correct_answeris a JSON object, and images are listed as{id, path}.images/: the image files.manifest.json: counts, models and the build date.
Use jsonl/ if you prefer plain files over Parquet.
Limitations
- Transcription. The text and LaTeX are model transcriptions of the printed papers. Most questions were never compared with the page by a human, so typos are possible.
- Figures. Figures are crops of the paper. Chemical structures and graphs are images, not text.
- The 2022 answer key was read from scanned pages by a vision model.
- Contamination. The papers and their solutions have been public since each exam, so models trained on web data may have seen them. Newer papers are less likely to have been seen.
License and source
The questions, answer keys and figures come from the official JEE Advanced 2022–2026 papers and final answer keys, published by the IITs that organise the exam. They remain the work of those institutes.
The transcriptions, structure and annotations in this dataset are released under the MIT license.
Built 2026-10-26.
Citation
@misc{jee_advanced_2022_2026,
title = {JEE Advanced 2022--2026: questions, official answers and figures},
author = {propar2750},
year = {2026},
howpublished = {\url{https://huggingface.co/datasets/propar2750/jee-advanced}}
}
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