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an article is bought for rs . 823 and sold for rs . 1000 , find the gain percent ? | allenai |
find the average of all the numbers between 6 and 38 which are divisible by 4 . | allenai |
a man has some hens and cows . if the number of heads be 50 and the number of feet equals 144 , then the number of hens will be | allenai |
d and e are two points respectively on sides ab and ac of triangle abc such that de is parallel to bc . if the ratio of area of triangle ade to that of the trapezium decb is 144 : 25 and bc = 13 cm , then find the length of de . | allenai |
a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is ... | allenai |
. 003 / ? = . 01 | allenai |
how many different values of positive integer x , for which | x + 9 | < x , are there ? | allenai |
for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 181 ? | allenai |
four equal circles are described about the four corners of a square so that each touches two of the others . if a side of the square is 14 cm , then the area enclosed between the circumferences of the circles is : | allenai |
the sum of two consecutive integers is 41 . find the numbers . | allenai |
a , b and c started a partnership business by investing rs . 12000 , rs . 16000 , rs . 20000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ? | allenai |
the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 602 to 700 inclusive ? | allenai |
two assembly line inspectors , smithy and glen , inspect widgets as they come off the assembly line . if smithy inspects every fifth widget , starting with the fifth , and glen inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either... | allenai |
the number 219 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ? | allenai |
a train leaves delhi at 7 a . m . at a speed of 30 kmph . another train leaves at 2 p . m . at a speed of 40 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ? | allenai |
arjun started a business with rs . 40,000 and is joined afterwards by anoop with rs . 80 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ? | allenai |
if the sum of two numbers is 55 and the h . c . f and l . c . m of these numbers are 5 and 120 respectively , then the sum of the reciprocal of the numbers is equal to : | allenai |
if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 217 , what is the common ratio of the g . p ? | allenai |
a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 52000 , then the share of b is ? | allenai |
31 of the scientists that attended a certain workshop were wolf prize laureates , and 14 of these 31 were also nobel prize laureates . of the scientists that attended that workshop and had not received the wolf prize , the number of scientists that had received the nobel prize was 3 greater than the number of scientist... | allenai |
of the female students at barkely university , 3 / 5 are on the honor roll . of the male students , 2 / 5 are on the honor roll . if 5 / 9 of the students are female , what fraction of all the students are on the honor roll ? | allenai |
a and b enter into a partnership . a contributed rs . 5000 for 8 months and b rs . 6000 for 5 months . find a ' s share in a total profit of rs . 8400 . | allenai |
a , b and c have rs . 300 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ? | allenai |
there are 50 students in a class . if 12 % are absent on a particular day , find the number of students present in the class . | allenai |
if the area of a circle is 25 pi square feet , find its circumference . | allenai |
a number consists of 3 digits whose sum is 10 . the middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed . the number is : | allenai |
the h . c . f of two numbers is 15 and their l . c . m is 3300 . if one of the numbers is 225 , then the other is ? | allenai |
a bag marked at $ 80 is sold for $ 68 . the rate of discount is ? | allenai |
a positive number when decreased by 4 is equal to 21 times the reciprocal of the number . the number is | allenai |
the sum of two consecutive integers is 61 . find the numbers . | allenai |
a = { 0 , 1 , - 3 , 6 , - 8 } b = { - 1 , 2 , - 4 , 7 } if a is a number that is randomly selected from set a , and b is a number that is randomly selected from set b , what is the probability that ab > 0 ? | allenai |
for the positive integers x , x + 2 , x + 4 , x + 7 , and x + 17 , the mean is how much greater than the median ? | allenai |
a bag contains 3 blue and 5 white marbles . one by one , marbles are drawn out randomly until only two are left in the bag . what is the probability that out of the two , one is white and one is blue ? | allenai |
the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 85 and rs . 70 respectively . the sum is : | allenai |
sum of two numbers is 10 . two times of the first exceeds by 5 from the three times of the other . then the numbers will be ? | allenai |
a , b , c subscribe rs . 50,000 for a business . if a subscribes rs . 4000 more than b and b rs . 5000 more than c , out of a total profit of rs . 40,000 , what will be the amount a receives ? | allenai |
the probability that event a occurs is 0.4 , and the probability that events a and b both occur is 0.25 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event b will occur ? | allenai |
a palindrome is a word or a number that reads the same forward and backward . for example , 2442 and 111 are palindromes . if 5 - digit palindromes are formed using one or more of the digits 1 , 2 , 3 , 4 , and 5 , how many palindromes are possible ? | allenai |
3639 + 11.95 - x = 3054 . find the value of x . | allenai |
what least number should be added to 1019 , so that the sum is completely divisible by 25 ? | allenai |
the difference between a two - digit number and the number obtained by interchanging the two digits is 63 . which is the smaller of the two numbers ? | allenai |
a train leaves delhi at 9 a . m . at a speed of 30 kmph . another train leaves at 2 p . m . at a speed of 40 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ? | allenai |
a women purchased 3 towels @ rs . 100 each , 5 towels @ rs . 150 each and two towels at a certain rate which is now slipped off from his memory . but she remembers that the average price of the towels was rs . 145 . find the unknown rate of two towels ? | allenai |
three numbers are in the ratio 3 : 4 : 5 and their l . c . m is 2400 . their h . c . f is : | allenai |
how many positive integers less than 9999 are such that the product of their digits is 210 . | allenai |
two stations p and q are 65 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ? | allenai |
the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 10 and 12 . the larger of the two numbers is : | allenai |
if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 350 , what is the least possible value of n ? | allenai |
the volume of a cube is 1728 cc . find its surface . | allenai |
the product of two numbers is 120 and the sum of their squares is 289 . find the sum ? | allenai |
if the average of 1 , 2 , 4 , 5 , 6 , 9 , 9 , 10 , 12 and x is 7 , what is the value of x ? | allenai |
what is the average of 1200 , 1300 , 1400 , 1510 , 1520 , 1530 , and 1200 ? | allenai |
a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 18600 . a ' s share is ? | allenai |
1.5 , 2.3 , 3.1 , 3.9 , . . ? | allenai |
an article is bought for rs . 800 and sold for rs . 1200 , find the loss percent ? | allenai |
the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 910 . the perimeter of the plot is ? | allenai |
what is the least number which should be added to 5432 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ? | allenai |
find large number from below question the difference of two no . is 1365 . on dividing the larger no . by the smaller , we get 6 as quotient and the 15 as remainder ? | allenai |
what is the least value of x . so that 23 x 59 is divisible by 3 . | allenai |
sonika bought a v . c . r . at the list price of 18,500 . if the rate of sales tax was 8 % , find the amount she had to pay for purchasing the v . c . r . | allenai |
abcd is a square . f and e are the midpoints of sides ad and cd , respectively . the area of triangle fed is 2 square inches . what is the area of square abcd ( in square inches ) ? | allenai |
a money lender lent rs . 1000 at 3 % per year and rs . 1400 at 3 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years . | allenai |
in a division , divident is 686 , divisior is 36 and quotient is 19 . find the remainder . | allenai |
a grocer has a sale of rs . 2500 , rs . 6500 , rs . 9855 , rs . 7230 and rs . 7000 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 7500 ? | allenai |
ramu bought an old car for rs . 42000 . he spent rs . 13000 on repairs and sold it for rs . 61900 . what is his profit percent ? | allenai |
two numbers have a h . c . f of 16 and a product of two numbers is 2560 . find the l . c . m of the two numbers ? | allenai |
an article is bought for rs . 600 and sold for rs . 450 , find the loss percent ? | allenai |
suganya and suriya are partners in a business . suganya invests rs . 15,000 for 8 months and suriya invests rs . 42,000 for 10 months . out of a profit of rs . 31,570 . suganya ' s share is | allenai |
the sum of the squares of three numbers is 138 , while the sum of their products taken two at a time is 131 . find the sum ? | allenai |
if two sides of a triangle are 6 and 13 , respectively , which of the following could not be the area of this triangle ? | allenai |
4,25 , 49,121 , 169,289 , 361,529 , | allenai |
from january 1 , 2015 , to january 1 , 2017 , the number of people enrolled in health maintenance organizations increased by 12 percent . the enrollment on january 1 , 2017 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 2015 ? | allenai |
what is the average ( arithmetic mean ) of the numbers 100 , 150 , 200 , 200 , 250 , and 300 ? | allenai |
company x sells a selection of products at various price points . listed below are unit sales made for one particular day . how many unit sales on that day were greater than the mean sale price but less than the median sale price ? $ 50 , $ 50 , $ 97 , $ 97 , $ 97 , $ 120 , $ 125 , $ 155 , $ 199 , $ 199 , $ 239 | allenai |
find two integers , neither of which ends in a zero , and whose product is exactly 00000 | allenai |
set a consists of the integers from 4 to 15 , inclusive , while set b consists of the integers from 6 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? | allenai |
the cost of an article is decreased by 20 % . if the original cost is $ 120 , find the decrease cost . | allenai |
222 , 224 , 228 , 234 , 242 , ( . . . . ) | allenai |
a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 52000 , then the share of a is ? | allenai |
each of the integers from 0 to 9 , inclusive , is written on a separate slip of blank paper and the ten slips are dropped into a hat . if 5 of the slips are the drawn , without replacement , what is the probability that all 5 have a odd number written on it ? | allenai |
the sum of the first 92 positive even integers is 2,550 . what is the sum of the odd integers from 101 to 200 , inclusive ? | allenai |
the average of 11 numbers is 60 . out of 11 numbers the average of first 6 no . is 58 , and last 6 numbers is 65 then find 6 th number ? | allenai |
4 dice are thrown simultaneously on the board . find the probability show the same face . | allenai |
a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 504 . find the sum ? | allenai |
the sum of the squares of three numbers is 138 , while the sum of their products taken two at a time is 131 . their sum is : | allenai |
if the sum of two numbers is 42 and their product is 437 , then find the absolute difference between the numbers . | allenai |
in a division , divident is 729 , divisior is 38 and quotient is 19 . find the remainder . | allenai |
the average salary of all the workers in a workshop is rs . 9000 . the average salary of 7 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is ? | allenai |
what least number should be added to 1021 , so that the sum is completely divisible by 25 ? | allenai |
if a = { 10 , 15 , 18 , 22 , 36 , 44 } , what is the product of mean and median of the numbers in a ? | allenai |
let the least number of 6 digits , which when divided by 4 , 610 and 15 leaves in each case the same remainder of 2 , be n . the sum of the digits in n is : | allenai |
a , b and c invests rs . 2000 , rs . 3000 and rs . 4000 in a business . after one year a removed his money ; b and c continued the business for one more year . if the net profit after 2 years be rs . 3200 , then a ' s share in the profit is ? | allenai |
a number is doubled and 5 is added . if the resultant is trebled , it becomes 117 . what is that number ? | allenai |
find out the c . i on rs . 5000 at 4 % p . a . compound half - yearly for 1 1 / 2 years . | allenai |
in a division , divident is 760 , divisior is 36 and quotient is 21 . find the remainder . | allenai |
a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 27000 . a ' s share is ? | allenai |
find the c . i . on a sum of rs . 1800 for 6 months at 20 % per annum , interest being compounded quarterly ? | allenai |
the value of a machine depreciates at 22 % per annum . if its present value is $ 1 , 50,000 , at what price should it be sold after two years such that a profit of $ 24,000 is made ? | allenai |
the sum of the even numbers between 1 and n is 81 * 82 , where n is an odd number , then n = ? | allenai |
from a pack of 52 cards , 1 card is drawn at random . what is the probability that a jack , queen , or king is drawn ? | allenai |
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