Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: how much water should be added to 12 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 % ? 
Options: a ) 28 liters , b ) 27 liters , c ) 30 liters , d ) 32 liters , e ) 35 liters
Answer: a
Input: Problem: what is the sum of the numbers between 1 and 12 , inclusive ? 
Options: a ) 99 , b ) 65 , c ) 79 , d ) 78 , e ) 80
Answer: d
Input: Problem: there is a 30 % increase in the price of an article in the first year , a 20 % decrease in the second year and a 10 % increase in the next year . if the final price of the article is rs . 3432 , then what was the price of the article initially ? 
Options: a ) rs . 2000 , b ) rs . 4000 , c ) rs . 3000 , d ) rs . 5000 , e ) rs . 6000
Answer: c
Input: Problem: if x is a randomly chosen integer between 1 and 20 , inclusive , and y is a randomly chosen integer between 21 and 40 , inclusive , what is the probability that xy is a multiple of 4 ? 
Options: a ) 1 / 4 , b ) 1 / 3 , c ) 3 / 8 , d ) 7 / 16 , e ) ½
Answer: e
Input: Problem: a satellite is composed of 24 modular units , each of which is equipped with a set of sensors , some of which have been upgraded . each unit contains the same number of non - upgraded sensors . if the number of non - upgraded sensors on one unit is 1 / 8 the total number of upgraded sensors on the entire satellite , what fraction of the sensors on the satellite have been upgraded ? 
Options: a ) 1 / 4 , b ) 1 / 5 , c ) 1 / 6 , d ) 1 / 8 , e ) 1 / 24
Answer: a
Input: Problem: how many times will the digit 3 be written when listing the integers from 1 to 1000 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 400 , e ) 500
Answer: c
Input: Problem: the arithmetic mean and standard deviation of a certain normal distribution are 15.5 and 1.5 , respectively . what value is exactly 2 standard deviations less than the mean ? 
Options: a ) 10.5 , b ) 11 , c ) 11.5 , d ) 12 , e ) 12.5
Answer: e
Input: Problem: the age of somu is one - third his father ' s . 6 years back he was one - fifth of his father ' s age . what is his persent age ? 
Options: a ) 11 , b ) 13 , c ) 14 , d ) 12 , e ) 10
Answer: d
Input: Problem: how many integers from 20 to 150 , inclusive , are divisible by 3 but not divisible by 7 ? 
Options: a ) 37 , b ) 40 , c ) 42 , d ) 45 , e ) 55
Answer: a
Input: Problem: the average ( arithmetic mean ) of the even integers from 20 to 60 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 10 to 140 inclusive ? 
Options: a ) 40 , b ) 15 , c ) 35 , d ) 20 , e ) 25
Answer: c
Input: Problem: if k is a non - negative integer and 30 ^ k is a divisor of 929260 then 3 ^ k - k ^ 3 = 
Options: a ) 0 , b ) 1 , c ) 45 , d ) 130 , e ) 520
Answer: b
Input: Problem: a batsman makes a score of 82 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ? 
Options: a ) 25 , b ) 31 , c ) 27 , d ) 29 , e ) 34
Answer: e
Input: Problem: sam wrote 7 letters on tuesday and 3 letters on wednesday . how many letters did he write on average per day ? 
Options: a ) 10 , b ) 4 , c ) 21 , d ) 3 , e ) 5
Answer: e
Input: Problem: what is the least number should be added to 1056 , so the sum of the number is completely divisible by 28 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 8
Answer: e
Input: Problem: evaluate : 60 - 12 ÷ 4 × 2 = 
Options: a ) a ) 45 , b ) b ) 54 , c ) c ) 63 , d ) d ) 72 , e ) e ) 81
Answer: b
Input: Problem: if a ' s height is 20 % less than that of b , how much percent b ' s height is more than that of a ? 
Options: a ) 66.66 % , b ) 66.68 % , c ) 66.766 % , d ) 86.66 % , e ) 25 %
Answer: e
Input: Problem: a school has received 60 % of the amount it needs for a new building by receiving a donation of $ 300 each from people already solicited . people already solicited represent 40 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ? 
Options: a ) $ 200 , b ) $ 177.78 , c ) $ 100 , d ) $ 277.78 , e ) $ 377.78
Answer: b
Input: Problem: of the three - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ? 
Options: a ) 24 , b ) 36 , c ) 72 , d ) 1 , e ) 216
Answer: e
Input: Problem: when positive integer n is divided by 3 , the remainder is 2 . when n is divided by 5 , the remainder is 5 . how many values less than 100 can n take ? 
Options: a ) 0 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
Input: Problem: in the coordinate plane , line a has a slope of - 1 and an x - intercept of 1 . line b has a slope of 3 and a y - intercept of - 3 . if the two lines intersect at the point ( a , b ) , what is the sum a + b ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: b
Input: Problem: if d = 1 / ( 2 ^ 3 * 5 ^ 8 ) is expressed as a terminating decimal , how many nonzero digits will d have ? 
Options: a ) one , b ) two , c ) three , d ) seven , e ) ten
Answer: b
Input: Problem: the difference between the ages of two persons is 10 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the elder person is ? 
Options: a ) 35 yr , b ) 25 yr , c ) 20 yr , d ) 30 yr , e ) 40 yr
Answer: a
Input: Problem: max planned to buy bike , sales man advised him to buy within this month , if he purchase next month means state tax will be increasing 10 % than its cost and it would be 82500 . what is the bike ' s selling price in this month 
Options: a ) 70000 , b ) 73000 , c ) 75000 , d ) 77000 , e ) 79000
Answer: c
Input: Problem: a grocery shop has a sale of rs . 6235 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ? 
Options: a ) 4857 , b ) 4184 , c ) 4012 , d ) 5191 , e ) 5291
Answer: d
Input: Problem: there were 35 students in a hostel . due to the admission of 7 new students , the expenses of mess were increased by 42 per day while the average expenditure per head diminished by 1 . what was the original expenditure of the mess ? 
Options: a ) 400 , b ) 400 , c ) 445 , d ) 465 , e ) none of the above
Answer: b
Input: Problem: 3 partners a , b , c starts a business . twice a ' s capital is equal to thrice b ' s capital and b ' s capital is 4 times c ' s capital . out of a total profit of rs . 16500 at the end of the year , b ' s share is 
Options: a ) rs . 4000 , b ) rs . 6000 , c ) rs . 7500 , d ) rs . 6600 , e ) none
Answer: b
Input: Problem: if the average ( arithmetic mean ) of x + 2 , x + 3 , and x + 4 is 0 , then x = 
Options: a ) – 4 , b ) – 3 , c ) – 2 , d ) – 1 , e ) 0
Answer: b
Input: Problem: andrew travelling to 7 cities . gasoline prices varied from city to city . $ 1.75 , $ 1.61 , $ 1.79 , $ 2.11 , $ 1.96 , $ 2.09 , $ 1.85 . what is the median gasoline price ? 
Options: a ) $ 1 , b ) $ 1.85 , c ) $ 1.92 , d ) $ 2.13 , e ) $ 2.15
Answer: b
Input: Problem: the average age of an adult class is 40 years . 12 new students with an avg age of 32 years join the class . therefore decreasing the average by 6 year . find what was the original average age of the class ? 
Options: a ) 10 , b ) 12 , c ) 16 , d ) 20 , e ) 4
Answer: e
Input: Problem: a car travels uphill at 30 km / hr and downhill at 90 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ? 
Options: a ) 32 kmph , b ) 39 kmph , c ) 34 kmph , d ) 35 kmph , e ) 36 kmph
Answer: b
Input: Problem: in a certain lottery , the probability that a number between 1 and 15 , inclusive , is drawn is 1 / 3 . if the probability that a number 1 or larger is drawn is 2 / 3 , what is the probability that a number less than or equal to 15 is drawn ? 
Options: a ) 2 / 3 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 6 , e ) 2 / 5
Answer: a
Input: Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 90 units raises the average to 54 units per day , what is the value of n ? 
Options: a ) 30 , b ) 18 , c ) 10 , d ) 9 , e ) 7
Answer: d
Input: Problem: what is the remainder when 17 ^ 200 is divided by 18 ? 
Options: a ) 3 , b ) 1 , c ) 2 , d ) 4 , e ) 7
Answer: b
Input: Problem: 587 * 999 = ? 
Options: a ) 586411 , b ) 586413 , c ) 486411 , d ) 486413 , e ) none of these
Answer: b
Input: Problem: if a and b are positive integers , and a = 2 b + 6 , the greatest common divisor of a and b can not be 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 6 , e ) 12
Answer: e
Input: Problem: a pupil ' s marks were wrongly entered as 83 instead of 53 . due to the average marks for the class got increased by half . the number of pupils in the class is ? 
Options: a ) 18 , b ) 82 , c ) 60 , d ) 27 , e ) 29
Answer: c
Input: Problem: if 5 a + 7 b = m , where a and b are positive integers , what is the largest possible value of m for which exactly one pair of integers ( a , b ) makes the equation true ? 
Options: a ) 35 , b ) 48 , c ) 69 , d ) 70 , e ) 74
Answer: d
Input: Problem: when the positive integer x is divided by 9 , the remainder is 5 . what is the remainder when 8 x is divided by 9 ? 
Options: a ) 0 , b ) 1 , c ) 3 , d ) 4 , e ) 6
Answer: d
Input: Problem: the average of first 12 natural numbers is ? 
Options: a ) 5.2 , b ) 6.5 , c ) 5.3 , d ) 5.9 , e ) 5.1
Answer: b
Input: Problem: in the xy - plane the point ( - 2 - 3 ) is the centre of a circle , the point ( - 2 , 3 ) lies inside the circle and the point ( 6 , - 3 ) lies outside the circle . if the radius r of the circle r is an integer then r = 
Options: a ) 6 , b ) 5 , c ) 4 , d ) 7 , e ) 2
Answer: d
Input: Problem: john bought a total of 24 mangoes and oranges . each mango costs 80 cents and each orange costs 60 cents . if the average price of the 24 mangoes and oranges that john originally purchased was 65 cents , then how many oranges needs to return to raise the average price of his purchase to 72 cents ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 14
Answer: e
Input: Problem: what is the last digit in ( 7 ^ 95 - 3 ^ 58 ) ? 
Options: a ) 5 , b ) 6 , c ) 4 , d ) 9 , e ) 5.5
Answer: c
Input: Problem: the average of 10 numbers is calculated as 15 . it is discovered later on that while calculating the average one number , namely 36 was wrongly read as 26 . the correct average is : 
Options: a ) 12.4 , b ) 14 , c ) 16 , d ) 18.6 , e ) none of these
Answer: c
Input: Problem: what are the last two digits of 63 * 35 * 37 * 82 * 71 * 41 * 53 ? 
Options: a ) 10 , b ) 30 , c ) 40 , d ) 70 , e ) 80
Answer: e
Input: Problem: if [ x ] is the greatest integer less than or equal to x , what is the value of [ 1.6 ] + [ - 3.4 ] + [ 10.7 ] ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: e
Input: Problem: the “ a - number ” of a number x is defined as the ones digit of 2 ^ x . antony rolls a die with 6 sides labeled with the integers from 1 to 6 , each of which has an equal probability of landing face - up . he then takes 3 ^ a , where a is the a - number of the result of his die roll , and plots 3 ^ a on a number line as the point a . finally , he repeats this entire process , this time plotting the result as the point b . what is the probability that the distance between a and b is greater than the value of b ? 
Options: a ) 3 / 8 , b ) 13 / 36 , c ) 17 / 36 , d ) 19 / 36 , e ) 23 / 36
Answer: b
Input: Problem: what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 200 ? 
Options: a ) 10 , b ) 25 , c ) 50 , d ) 75 , e ) 100
Answer: e
Input: Problem: solve the equation for x : 6 x - 47 + 3 x = 4 + 9 - x 
Options: a ) 4 , b ) 5 , c ) 7 , d ) 9 , e ) 6
Answer: e
Input: Problem: there are 59 people that own pets . 15 people own only dogs , 10 people own only cats , 5 people own only cats and dogs , 3 people own cats , dogs and snakes . how many total snakes are there ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 29 , e ) 32
Answer: d
Input: Problem: { 8 , 46 , 53 , 127 } what number should be inserted in the set of 7 values to get a median of 9 ? 
Options: a ) 20 , b ) 14 , c ) 16 , d ) 5 , e ) 8
Answer: b
Input: Problem: nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw . if the total weight of one screw and one nail is half that of 6 screws and one nail , then the total weight of 3 screws , and 3 nails is how many times that of 4 screws and 2 nails ? 
Options: a ) 4 , b ) 5 / 2 , c ) 2 , d ) 3 / 2 , e ) 5 / 4
Answer: e
Input: Problem: the total age of a and b is 15 years more than the total age of b and c . c is how many year younger than 
Options: a ) 14 years , b ) 12 years , c ) 56 years , d ) 66 years , e ) 15 years
Answer: e
Input: Problem: the average of 10 consecutive integers is 15 . then , 9 is deducted from the first consecutive number , 8 is deducted from the second , 7 is deducted form the third , and so on until the last number which remains unchanged . what is the new average ? 
Options: a ) 10 , b ) 10.5 , c ) 11 , d ) 11.5 , e ) 12
Answer: b
Input: Problem: the largest prime number is ? 
Options: a ) 11 , b ) 13 , c ) 5 , d ) 7 , e ) 9
Answer: b
Input: Problem: 2 : 5 = 4 / 3 : x . the value of x is ? 
Options: a ) 10 / 3 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
Input: Problem: a student chose a number , multiplied it by 2 , then subtracted 140 from the result and got 102 . what was the number he chose ? 
Options: a ) 90 , b ) 100 , c ) 120 , d ) 160 , e ) 121
Answer: e
Input: Problem: there are 300 female managers in a certain company . find the total number of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers . 
Options: a ) 650 , b ) 700 , c ) 750 , d ) 800 , e ) none of these
Answer: c
Input: Problem: a box contain the number of balls which is as much times greater than 15 as much times lesser than 240 . the no . of ball is ? 
Options: a ) 48 , b ) 75 , c ) 60 , d ) 54 , e ) 45
Answer: c
Input: Problem: the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 20 % . if in july , a mixture containing equal quantities of tea and coffee costs 70 / kg . how much did a kg of coffee cost in june ? 
Options: a ) 70 , b ) 60 , c ) 80 , d ) 100 , e ) 120
Answer: a
Input: Problem: lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 44,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is : 
Options: a ) 0.23255 , b ) 0.14544 , c ) 0.25632 , d ) 0.35466 , e ) 0.63435
Answer: a
Input: Problem: find the greatest number which on dividing 4351 and 5161 , leaves a reminder of 8 and 10 respectively 
Options: a ) 125 , b ) 111 , c ) 129 , d ) 101 , e ) 141
Answer: d
Input: Problem: a city with a population of 218,000 is to be divided into 10 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ? 
Options: a ) 19,920 , b ) 19,940 , c ) 19,960 , d ) 19,980 , e ) 20,000
Answer: e
Input: Problem: a certain lab experiments with white and brown mice only . in one experiment , 2 / 3 of the mice are white . if there are 9 brown mice in the experiment , how many mice in total are in the experiment ? 
Options: a ) 39 , b ) 33 , c ) 27 , d ) 21 , e ) 10
Answer: c
Input: Problem: the average weight of 20 persons sitting in a boat had some value . a new person added to them whose weight was 50 kg only . due to his arrival , the average weight of all the persons decreased by 5 kg . find the average weight of first 20 persons ? 
Options: a ) 55 , b ) 56 , c ) 57 , d ) 58 , e ) 59
Answer: a
Input: Problem: the tax on a commodity is diminished by 22 % but its consumption is increased by 9 % . find the decrease percent in the revenue derived from it ? 
Options: a ) 20 % , b ) 18 % , c ) 15 % , d ) 12 % , e ) 14 %
Answer: c
Input: Problem: there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 79 . how tall is the fourth person ? 
Options: a ) 85 , b ) 87 , c ) 89 , d ) 91 , e ) 93
Answer: a
Input: Problem: if 6 log ( 4 * 5 ^ 2 ) = x , find x 
Options: a ) 10 , b ) 11 , c ) 7 , d ) 12 , e ) 9
Answer: d
Input: Problem: the average of 50 numbers id 50 . if two numbers , namely 45 and 55 are discarded , the average of the remaining numbers is : 
Options: a ) 22 , b ) 33 , c ) 22 , d ) 41 , e ) 50
Answer: e
Input: Problem: ( √ 27 + √ 243 ) / √ 75 = ? 
Options: a ) 2 √ 2 , b ) 2 √ 3 , c ) 3 √ 2 , d ) 3 √ 3 , e ) 12 / 5
Answer: e
Input: Problem: for all positive integers m and v , the expression m θ v represents the remainder when m is divided by v . what is the value of ( ( 90 θ 33 ) θ 17 ) - ( 99 θ ( 33 θ 17 ) ) ? 
Options: a ) 10 , b ) 8 , c ) 6 , d ) 4 , e ) 2
Answer: d
Input: Problem: of the 3,600 employees of company x , 1 / 4 are clerical . if the clerical staff were to be reduced by 1 / 4 , what percent of the total number of the remaining employees would then be clerical ? 
Options: a ) 25 % , b ) 22.2 % , c ) 20 % , d ) 12.5 % , e ) 11.1 %
Answer: c
Input: Problem: what is 10 - 8 + 6 - 4 + . . . + ( - 14 ) ? 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) - 2
Answer: e
Input: Problem: a father said his son , ` ` i was as old as you are at present at the time of your birth . ` ` if the father age is 38 now , the son age 5 years back was : 
Options: a ) 14 , b ) 19 , c ) 33 , d ) 38 , e ) 56
Answer: a
Input: Problem: the weight of every type a widget is the same , the weight of every type b widget is the same , and the weight of every type c widget is the same . if the weight of 7 type a widgets is equal to the weight of 2 type b widgets , and the weight of 3 type b widgets is equal to the weight of 7 type c widgets . what is the ratio of the total weight of 1 type a widget and 1 type b widget , to the total weight of 1 type b widget and 1 type c widget ? 
Options: a ) 1 : 2 , b ) 3 : 4 , c ) 5 : 6 , d ) 7 : 8 , e ) 9 : 10
Answer: e
Input: Problem: a batsman scored 130 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets ? 
Options: a ) 45 ( 4 / 11 ) % , b ) 45 % , c ) 53 ( 11 / 13 ) % , d ) 44 ( 5 / 11 ) % , e ) none of these
Answer: c
Input: Problem: a man purchased 5 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? 
Options: a ) a ) 250 , b ) b ) 350 , c ) c ) 450 , d ) d ) 470 , e ) e ) 500
Answer: a
Input: Problem: p , q and r have rs . 9000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ? 
Options: a ) rs . 3000 , b ) rs . 3600 , c ) rs . 2400 , d ) rs . 4000 , e ) none of these
Answer: b
Input: Problem: in how many no . between 100 and 1000 exactly one of the digits is 3 ? 
Options: a ) 648 , b ) 512 , c ) 252 , d ) 225 , e ) 26
Answer: d
Input: Problem: vishal invested 10 % more than trishul . trishul invested 10 % less than raghu . if the total sum of their investments is rs . 6936 , how much amount did raghu invest ? 
Options: a ) 1287 , b ) 2887 , c ) 2000 , d ) 1129 , e ) 2400
Answer: e
Input: Problem: if t = 5 / 9 * ( k - 32 ) , and if t = 35 , then what is the value of k ? 
Options: a ) 92 , b ) 95 , c ) 98 , d ) 101 , e ) 104
Answer: b
Input: Problem: for a certain exam , a score of 60 was 2 standard deviations below mean and a score of 100 was 3 standard deviations above mean . what was the mean score for the exam ? 
Options: a ) 74 , b ) 76 , c ) 78 , d ) 80 , e ) 82
Answer: b
Input: Problem: if the price of sugar rises from rs . 10 per kg to rs . 11 per kg , a person , to have no increase in the expenditure on sugar , will have to reduce his consumption of sugar by 
Options: a ) 9 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) none
Answer: a
Input: Problem: a , b and c invest in the ratio of 3 : 4 : 5 . the percentage of return on their investments are in the ratio of 6 : 5 : 4 . find the total earnings , if b earns rs . 350 more than a : 
Options: a ) 10150 , b ) 7250 , c ) 2767 , d ) 1998 , e ) 2771
Answer: a
Input: Problem: how many positive integers less than 253 are multiple of 4 but not multiples of 6 ? 
Options: a ) 20 , b ) 41 , c ) 42 , d ) 53 , e ) 64
Answer: b
Input: Problem: in the biology lab of ` ` jefferson ' ' high school there are 5.4 * 10 ^ 6 germs , equally divided among 10800 petri dishes . how many germs live happily in a single dish ? 
Options: a ) 100 , b ) 200 , c ) 500 , d ) 1000 , e ) 5000
Answer: c
Input: Problem: find the quotient : 0.63 / 9 
Options: a ) 0.5 , b ) 0.3 , c ) 0.9 , d ) 0.1 , e ) 0.7
Answer: e
Input: Problem: what is the remainder when 1014 * 1047 * 1050 * 1053 is divided by 33 ? 
Options: a ) 3 , b ) 6 , c ) 30 , d ) 21 , e ) 18
Answer: b
Input: Problem: if a = 1 , what is the value of – ( a ^ 2 + a ^ 3 + a ^ 4 + a ^ 5 + a ^ 6 ) ? 
Options: a ) - 14 , b ) - 4 , c ) 0 , d ) 4 , e ) - 5
Answer: e
Input: Problem: the average of first thirteen prime numbers which are odd is ? 
Options: a ) 20.15 , b ) 21.15 , c ) 22.15 , d ) 23.15 , e ) 24.15
Answer: b
Input: Problem: how many multiples of 2 are there between 1 and 52 , exclusive ? 
Options: a ) 21 , b ) 22 , c ) 25 , d ) 26 , e ) 28
Answer: c
Input: Problem: the average height of 35 boys in a class was calculated as 180 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ) . 
Options: a ) 178.89 cm , b ) 178.29 cm , c ) 178.79 cm , d ) 177.89 cm , e ) 178.69 cm
Answer: b
Input: Problem: how many odd 3 - digit integers greater than 800 are there such that all their digits are different ? 
Options: a ) 40 , b ) 56 , c ) 72 , d ) 81 , e ) 104
Answer: c
Input: Problem: a trailer carries 3 , 4 and 5 crates on a trip . each crate weighs no less than 150 kg . what is the maximum weight of the crates on a single trip ? 
Options: a ) 1250 , b ) 625 , c ) 600 , d ) 750 , e ) 375
Answer: d
Input: Problem: the average runs scored by a batsman in 15 matches is 30 . in the next 20 matches the batsman scored an average of 15 runs . find his average in all the 30 matches ? 
Options: a ) 31.56 , b ) 25.65 , c ) 21.43 , d ) 28.36 , e ) 27.96
Answer: c
Input: Problem: a driver would have reduced the time it took to drive from home to the store by 1 / 4 if the average speed had been increased by 10 miles per hour . what was the actual average speed , in miles per hour , when the driver drove from home to the store ? 
Options: a ) 12 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Answer: e
Input: Problem: find the sum lend at c . i . at 5 p . c per annum will amount to rs . 740 in 2 years ? 
Options: a ) 221 , b ) 287 , c ) 400 , d ) 288 , e ) 671
Answer: e
Input: Problem: john want to buy a $ 100 trouser at the store , but he think it â € ™ s too expensive . finally , it goes on sale for $ 80 . what is the percent decrease ? 
Options: a ) 20 % , b ) 30 % , c ) 40 % , d ) 50 % , e ) 60 %
Answer: a
Input: Problem: solve for x and check : - 12 x = 72 
Options: a ) - 4 , b ) - 2 , c ) - 6 , d ) - 12 , e ) none of these
Answer: c
Input: Problem: find the average of all the numbers between 6 and 38 which are divisible by 4 . 
Options: a ) 18 , b ) 22 , c ) 20 , d ) 30 , e ) 28
Answer: b
Input: Problem: 587 x 999 = ? 
Options: a ) 586413 , b ) 587523 , c ) 614823 , d ) 615173 , e ) none of them
Answer: a
Input: Problem: p , q , r enter into a partnership & their share are in the ratio 1 / 2 : 1 / 3 : 1 / 4 , after two months , p withdraws half of the capitals & after 10 months , a profit of rs 378 is divided among them . what is r ' s share ? 
Options: a ) 108 , b ) 120 , c ) 134 , d ) 144 , e ) none of these
Answer: a
Input: Problem: if a = 105 and a ^ 3 = 21 * 35 * 45 * b , what is the value of b ? 
Options: a ) 35 , b ) 42 , c ) 45 , d ) 49 , e ) 54
Answer: a
Input: Problem: you make a cube that is made of 10 x 10 x 10 smaller cubes which sums up to a total of 1000 smaller cubes . now , if someone takes one layer of cubes , how many will remain ? 
Options: a ) 357 , b ) 834 , c ) 500 , d ) 512 , e ) 216
Answer: d
Input: Problem: when a number is divided by 6 & then multiply by 12 the answer is 10 what is the no . ? 
Options: a ) 4.5 , b ) 5 , c ) 5.6 , d ) 5.7 , e ) 6.5
Answer: b
Input: Problem: in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ? 
Options: a ) 40 , b ) 44 , c ) 48 , d ) 50 , e ) 56
Answer: b
Input: Problem: when positive integer x is divided by positive integer y , the remainder is 9 . if x / y = 96.25 , what is the value of y ? 
Options: a ) 96 , b ) 75 , c ) 36 , d ) 25 , e ) 12
Answer: c
Input: Problem: the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 86 , and the average of the female students ’ grades was 92 , how many female students took the test ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 16
Answer: e
Input: Problem: a certain box has 8 cards and each card has one of the integers from 1 to 8 inclusive . each card has a different number . if 2 different cards are selected at random , what is the probability that the sum of the numbers written on the 2 cards is less than the average ( arithmetic mean ) of all the numbers written on the 8 cards ? 
Options: a ) 1 / 8 , b ) 1 / 12 , c ) 1 / 14 , d ) 1 / 18 , e ) 1 / 28
Answer: c
Input: Problem: the ages of two persons differ by 12 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively 
Options: a ) 20,20 , b ) 20,8 , c ) 25,15 , d ) 30,10 , e ) none of these
Answer: b
Input: Problem: if a - b = 5 and a 2 + b 2 = 34 , find the value of ab . 
Options: a ) a ) 4.5 , b ) b ) 12 , c ) c ) 15 , d ) d ) 18 , e ) e ) 20
Answer: a
Input: Problem: the student manager of the university theater estimated that for every 6 movie tickets sold on valentine ' s weekend , the theater will sell 3 packs of grain crackers at $ 2.25 each , 4 bottles of a beverage at $ 1.50 each , and 4 chocolate bars at $ 1.00 each . find the approximate average ( arithmetic mean ) amount of estimated snack sales per movie ticket sold . 
Options: a ) $ 1.40 , b ) $ 1.58 , c ) $ 2.00 , d ) $ 2.64 , e ) $ 2.79
Answer: e
Input: Problem: if 15 students in a class average 80 % on an english exam and 10 students average 90 % on the same exam , what is the average in percent for all 25 students ? 
Options: a ) 83 % , b ) 83 1 ⁄ 2 % , c ) 84 % , d ) 85 % , e ) 86 2 ⁄ 3 %
Answer: c
Input: Problem: the number of positive integer solutions for the equation x + y + z + t = 18 is 
Options: a ) 640 , b ) 780 , c ) 380 , d ) 540 , e ) 680
Answer: e
Input: Problem: if ( m - 8 ) is a factor of m ^ 2 - hm - 24 , then h = 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 11 , e ) 16
Answer: b
Input: Problem: what will be the reminder when ( 27 ^ 27 + 27 ) is divided by 28 ? 
Options: a ) 92 , b ) 43 , c ) 71 , d ) 26 , e ) 31
Answer: d
Input: Problem: if 13 = 13 w / ( 1 - w ) , then ( 6 w ) 2 = 
Options: a ) 1 / 4 , b ) 1 / 2 , c ) 1 , d ) 2 , e ) 6
Answer: e
Input: Problem: if n divided by 7 has a remainder of 2 , what is the remainder when 5 times n is divided by 7 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Answer: c
Input: Problem: for every x , the action [ x ] is defined : [ x ] is the greatest integer less than or equal to x . what is the value of [ 6.5 ] x [ 2 / 3 ] + [ 2 ] x 7.2 + [ 8.3 ] - 6.6 ? 
Options: a ) 12.6 . , b ) 15.8 . , c ) 14.4 . , d ) 16.2 . , e ) 16.4 .
Answer: b
Input: Problem: if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 3 k , what is one possible value for k ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 8
Answer: b
Input: Problem: what is the greatest integer m for which the number 40 ! / 10 ^ m is an integer ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: c
Input: Problem: if a person walks at 20 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is : 
Options: a ) 20 km , b ) 56 km , c ) 60 km , d ) 70 km , e ) 80 km
Answer: a
Input: Problem: what is the range of all the roots of | x ^ 2 - 5 | = x ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: a
Input: Problem: 22.085 ã — 0.001 = ? 
Options: a ) 0.22085 , b ) 2.2085 , c ) 0.022085 , d ) 0.0022085 , e ) none of these
Answer: c
Input: Problem: jill has 42 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 72 , e ) 14
Answer: d
Input: Problem: if the average ( arithmetic mean ) of 102 consecutive odd integers is 414 , then the least of these integers is 
Options: a ) a ) 160 , b ) b ) 289 , c ) c ) 250 , d ) d ) 313 , e ) e ) 525
Answer: d
Input: Problem: 324 ã · ? ã — 15 + 270 = 405 
Options: a ) 24 , b ) 25 , c ) 36 , d ) 39 , e ) 43
Answer: c
Input: Problem: calculate 469138 x 9999 = ? 
Options: a ) 4586970843 , b ) 4686970743 , c ) 4690910862 , d ) 4586870843 , e ) none
Answer: c
Input: Problem: what is the remainder when 750 * 810 * 830 * 790 is divided by 13 ? 
Options: a ) 4 , b ) 9 , c ) 10 , d ) 8 , e ) 6
Answer: c
Input: Problem: 4,18 , 100,294 , ___ 
Options: a ) 1000 , b ) 1100 , c ) 1210 , d ) 1452 , e ) 1552
Answer: c
Input: Problem: find the quotient when total no . of divisors of 16 ! is divided by right most non - zero digit of 15 ! 
Options: a ) 672 , b ) 682 , c ) 692 , d ) 745 , e ) 845
Answer: a
Input: Problem: a man ’ s current age is ( 2 / 5 ) of the age of his father . after 8 years , he will be ( 1 / 2 ) of the age of his father . what is the age of father at now ? 
Options: a ) 40 , b ) 45 , c ) 38 , d ) 50 , e ) 39
Answer: a
Input: Problem: a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 5 gallons of water and 10 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ? 
Options: a ) 37.5 , b ) 75 , c ) 100 , d ) 150 , e ) 175
Answer: b
Input: Problem: the smallest number when increased by ` ` 1 ` ` is exactly divisible by 618 , 3648 , 60 is : 
Options: a ) 724 , b ) 721 , c ) 720 , d ) 719 , e ) 700
Answer: d
Input: Problem: the difference between compound and simple interest on a certain sum of money for 3 years at 6 2 / 3 % p . a is rs . 184 . find the sum ? 
Options: a ) 33772 , b ) 26782 , c ) 26788 , d ) 13500 , e ) 27761
Answer: d
Input: Problem: if the least common multiple of two prime numbers x and y is 10 , where x < y , then the value of 3 x + y is 
Options: a ) 7 , b ) 9 , c ) 11 , d ) 12 , e ) 21
Answer: c
Input: Problem: a number , when 35 is subtracted from it , reduces to its 80 percent . what is 4 - fifth of that number ? 
Options: a ) 130 , b ) 155 , c ) 490 , d ) 140 , e ) 160
Answer: d
Input: Problem: if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 10800 ? 
Options: a ) 11 , b ) 13 , c ) 14 , d ) 18 , e ) 10
Answer: d
Input: Problem: a batsman in his 17 th innings makes a score of 80 and their by increasing his average by 3 . what is his average after the 17 thinnings ? 
Options: a ) 28 , b ) 29 , c ) 30 , d ) 31 , e ) 32
Answer: c
Input: Problem: the number of positive integer solutions for the equation x + y + z + t = 21 is 
Options: a ) 1140 , b ) 1145 , c ) 1240 , d ) 1340 , e ) 15640
Answer: a
Input: Problem: a dozen eggs and 5 pounds of oranges are currently at the same price . if the price of a dozen eggs rises by 3 percent and the price of oranges rises by 6 % . how much more will it cost to buy a dozen eggs and 10 pounds of oranges . 
Options: a ) 8 % , b ) 9 % , c ) 10 % , d ) 11 % , e ) 5 %
Answer: b
Input: Problem: in the land of oz only one or two - letter words are used . the local language has 67 different letters . the parliament decided to forbid the use of the seventh letter . how many words have the people of oz lost because of the prohibition ? 
Options: a ) 65 , b ) 66 , c ) 67 , d ) 131 , e ) 134
Answer: e
Input: Problem: an employee ’ s annual salary was increased $ 5000 . if her new annual salary now equals $ 25000 what was the percent increase ? 
Options: a ) 15 % , b ) 80 % , c ) 20 % , d ) 22 % , e ) 24 %
Answer: b
Input: Problem: find the greatest number that will divide 256 , 193 and 210 leaving 6 , 18 and 100 as remainders respectively 
Options: a ) 19 , b ) 25 , c ) 23 , d ) 20 , e ) 26
Answer: b
Input: Problem: there are , in a certain league , 20 teams , and each team face another team for a total of 10 times . how many games are played in the season ? 
Options: a ) 1900 , b ) 3600 , c ) 2400 , d ) 180 , e ) 5400
Answer: a
Input: Problem: in the xy - coordinate system , what is the slope of the line that goes through the point ( 1 , 1 ) and is equidistant from the two points p = ( 3 , 7 ) and q = ( 9 , 11 ) ? 
Options: a ) 0.5 , b ) 0.625 , c ) 0.75 , d ) 0.875 , e ) 1.0
Answer: b
Input: Problem: in a room with 6 people , 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ? 
Options: a ) 5 / 21 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 7 , e ) 16 / 15
Answer: e
Input: Problem: find the value of 3 / 11 × [ ( 1 + 1 / 3 ) ( 1 + 1 / 4 ) … … … … . ( 1 + 1 / 120 ) ] is ? 
Options: a ) 11 , b ) 12 , c ) 14 , d ) 15 , e ) 16
Answer: a
Input: Problem: a certain lab experiments with white and brown mice only . in one experiment , 4 / 9 of the mice are brown . if there are 20 brown mice in the experiment , how many mice in total are in the experiment ? 
Options: a ) 32 , b ) 26 , c ) 36 , d ) 28 , e ) 24
Answer: c
Input: Problem: sum of 24 odd numbers is ? 
Options: a ) 572 , b ) 573 , c ) 574 , d ) 575 , e ) 576
Answer: e
Input: Problem: on thursday mabel handled 90 transactions . anthony handled 10 % more transactions than mabel , cal handled 2 / 3 rds of the transactions that anthony handled , and jade handled 16 more transactions than cal . how much transactions did jade handled ? 
Options: a ) 80 , b ) 81 , c ) 82 , d ) 83 , e ) 84
Answer: c
Input: Problem: a drink vendor has 20 liters of maaza , 144 liters of pepsi and 368 liters of sprite . he wants to pack them in cans , so that each can contains the same number of liters of a drink , and does n ' t want to mix any two drinks in a can . what is the least number of cans required ? 
Options: a ) 135 , b ) 137 , c ) 142 , d ) 130 , e ) 133
Answer: e
Input: Problem: a number when divided by 219 gives a remainder 32 , what remainder will be obtained by dividing the same number 12 ? 
Options: a ) 7 , b ) 11 , c ) 9 , d ) 2 , e ) 3
Answer: b
Input: Problem: a and b are two partially filled buckets of water . if 3 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 3 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ? 
Options: a ) 36 / 5 , b ) 13 , c ) 17 , d ) 21 , e ) 23
Answer: a
Input: Problem: if 4 x + y = 34 , 2 x - y = 20 , for integers of x and y , y ^ 2 = ? 
Options: a ) 2 , b ) 4 , c ) 0 , d ) 10 , e ) 3
Answer: b
Input: Problem: how many 3 - digit even numbers are possible such that if one of the digits is 5 , the next / succeeding digit to it should be 6 
Options: a ) 5 , b ) 305 , c ) 365 , d ) 405 , e ) 495
Answer: a
Input: Problem: if the average of 5 positive integers is 70 and the difference between the largest and the smallest of these 5 numbers is 10 , what is the maximum value possible for the largest of these 5 integers ? 
Options: a ) 50 , b ) 52 , c ) 69 , d ) 78 , e ) 84
Answer: d
Input: Problem: in a flight of 600 km , an aircraft was slowed down due to bad weather . its average speed for the trip was reduced by 200 km / hr and the time of flight increased by 30 minutes . the duration of the flight is ? 
Options: a ) 1 hr , b ) 2 hr , c ) 6 hr , d ) 8 hr , e ) 7 hr
Answer: a
Input: Problem: calculate the share of y , if rs . 690 is divided among x , y and z in the ratio 5 : 7 : 11 ? 
Options: a ) 190 , b ) 160 , c ) 120 , d ) 151 , e ) 150
Answer: e
Input: Problem: what is the remainder when 46 * 49 is divided by 8 ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 7
Answer: d
Input: Problem: in a class of 27 students in an examination in maths 5 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ? 
Options: a ) a ) 47 , b ) b ) 45.6 , c ) c ) 44 , d ) d ) 48 , e ) e ) 49.3
Answer: e
Input: Problem: if ' y ' is a positive integer exactly divisible by 4 or 5 but not divisible by 8 . what could possibly be the value of ' y ' ? 
Options: a ) 40 , b ) 80 , c ) 20 , d ) 24 , e ) 36
Answer: c
Input: Problem: in a renowned city , the average birth rate is 7 people every two seconds and the death rate is 2 people every two seconds . estimate the size of the population net increase that occurs in one day . 
Options: a ) 215,000 , b ) 216,000 , c ) 217,000 , d ) 218,000 , e ) 219,000
Answer: b
Input: Problem: what is the sum of all the prime numbers greater than 50 but less than 70 ? 
Options: a ) 249 , b ) 248 , c ) 246 , d ) 240 , e ) 241
Answer: d
Input: Problem: if 25 % of a number is subtracted from a second number , the second number reduces to its 4 - sixth . what is the ratio of the first number to the second number ? 
Options: a ) 5 : 3 , b ) 4 : 3 , c ) 6 : 3 , d ) 3 : 4 , e ) 5 : 4
Answer: b
Input: Problem: if there are thrice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30 % of the total . what fraction of the total is men who own cars ? 
Options: a ) 3 ⁄ 20 , b ) 11 ⁄ 60 , c ) 9 ⁄ 40 , d ) 1 ⁄ 10 , e ) 11 ⁄ 20
Answer: d
Input: Problem: a small beaker is 1 / 2 filled with salt water . another beaker , which has 5 times the capacity of the small beaker , is 1 / 5 filled with fresh water . after dumping all of the salt water from the small beaker into the large beaker , to what fraction of its capacity will the large beaker be filled ? 
Options: a ) 2 / 3 , b ) 2 / 5 , c ) 3 / 5 , d ) 3 / 10 , e ) 7 / 20
Answer: d
Input: Problem: if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2013 ) = ? 
Options: a ) 2014 , b ) 2088 , c ) 270 , d ) 1881 , e ) 1781
Answer: a
Input: Problem: a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food , and 1 / 8 of his salary on conveyance . if he has rs 1400 left with him , find his expenditure on food and conveyance 
Options: a ) 3200 , b ) 3400 , c ) 3600 , d ) 3800 , e ) 4000
Answer: b
Input: Problem: what is the unit digit in 4 ^ 100 ? 
Options: a ) 0 , b ) 1 , c ) 6 , d ) 3 , e ) 5
Answer: c
Input: Problem: if n is a prime number greater than 5 , what is the remainder when n ^ 2 is divided by 23 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5
Answer: d
Input: Problem: two brothers ram and ravi appeared for an exam . the probability of selection of ram is 2 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected . 
Options: a ) 2 / 35 , b ) 2 / 3 , c ) 7 / 35 , d ) 5 / 7 , e ) 7 / 5
Answer: a
Input: Problem: b as a percentage of a is equal to a as a percentage of ( a + b ) . find b as a percentage of a . 
Options: a ) 62 % , b ) 73 % , c ) 41 % , d ) 71 % , e ) none of these
Answer: a
Input: Problem: if x + y = 4 , x - y = 36 , for integers of x and y , x = ? 
Options: a ) 20 , b ) 15 , c ) 25 , d ) 13 , e ) 42
Answer: a
Input: Problem: there are 14 teams in a soccer league and each team plays each of the other teams once . how many games will be played in total ? 
Options: a ) 87 , b ) 91 , c ) 95 , d ) 99 , e ) 103
Answer: b
Input: Problem: the sum of 4 th and 20 th term of a . p . is equal to the sum of 8 th , 15 th and 12 th term . find the term which is 0 
Options: a ) 10 , b ) 7 , c ) 11 , d ) 5 , e ) 3
Answer: c
Input: Problem: the average temperature for monday , tuesday , wednesday and thursday was 48 degrees and for tuesday , wednesday , thursday and friday was 46 degrees . if the temperature on monday was 44 degrees . find the temperature on friday ? 
Options: a ) 65 degrees , b ) 73 degrees , c ) 36 degrees , d ) 34 degrees , e ) 74 degrees
Answer: c
Input: Problem: find large number from below question the difference of 2 no ' s is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 1236 , b ) 1356 , c ) 1470 , d ) 1556 , e ) 1635
Answer: e
Input: Problem: how many positive integers i less than 20 are either a multiple of 2 , an odd multiple of 9 , or the sum of a positive multiple of 2 and a positive multiple of 9 ? 
Options: a ) 19 , b ) 18 , c ) 17 , d ) 16 , e ) 15
Answer: e
Input: Problem: the average ( arithmetic mean ) of 20 , 40 , and 60 is 6 more than the average of 10 , 70 , and what number ? 
Options: a ) 15 , b ) 25 , c ) 35 , d ) 22 , e ) 55
Answer: d
Input: Problem: xy = 1 then what is ( 4 ^ ( x + y ) ^ 2 ) / ( 4 ^ ( x - y ) ^ 2 ) 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 256 , e ) 32
Answer: d
Input: Problem: 826924 × 9999 = ? 
Options: a ) 8248402936 , b ) 8268413076 , c ) 8268413071 , d ) 8064329671 , e ) 8244563371
Answer: b
Input: Problem: if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 4 ø 2 ) ø 1 = ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 32
Answer: c
Input: Problem: x , y , and z are consecutive numbers and x > y > z . also , 2 x + 3 y + 3 z = 5 y + 11 . what is the value of z ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: b
Input: Problem: a rower whose speed is 2.5 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 0.5 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? 
Options: a ) 2.2 , b ) 2.3 , c ) 2.4 , d ) 2.5 , e ) 2.6
Answer: c
Input: Problem: find the lowest common multiple of 24 , 36 and 42 . 
Options: a ) 360 , b ) 504 , c ) 510 , d ) 320 , e ) 280
Answer: b
Input: Problem: ( 23341379 × 72 ) = ? 
Options: a ) 1223441288 , b ) 2142579288 , c ) 2142339288 , d ) 2142339277 , e ) 1680579288
Answer: e
Input: Problem: a grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches . if the measurement of each soap box is 7 inches by 12 inches by 5 inches , then what is the maximum number of soap boxes that can be placed in each carton ? 
Options: a ) 210 , b ) 150 , c ) 280 , d ) 300 , e ) 420
Answer: b
Input: Problem: the sum of all two digit numbers divisible by 7 is 
Options: a ) 910 , b ) 510 , c ) 728 , d ) 628 , e ) 810
Answer: c
Input: Problem: caleb spends $ 64.50 on 50 hamburgers for the marching band . if single burgers cost $ 1.00 each and double burgers cost $ 1.50 each , how many double burgers did he buy ? 
Options: a ) 29 , b ) 10 , c ) 20 , d ) 40 , e ) 45
Answer: a
Input: Problem: in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.33 , then how many f cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] 
Options: a ) 0.33 , b ) 0.44 , c ) 0.55 , d ) 44 , e ) 55
Answer: d
Input: Problem: how many three - element subsets of { 5 , 6,7 , 8,9 } are there that do not contain the pair of elements 6 and 9 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: e
Input: Problem: for each of her sales , a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale , plus 25 percent of the total amount in excess of $ 500 . if the total amount of one of her sales was $ 800 , the saleswoman ’ s commission was approximately what percent of the total amount of the sale ? 
Options: a ) 22 % , b ) 24 % , c ) 25 % , d ) 27 % , e ) 28 %
Answer: a
Input: Problem: when a certain tree was first planted , it was 4 feet tall , and the height of the tree increased by a constant amount each year for the next 6 years . at the end of the 6 th year , the tree was 1 / 7 taller than it was at the end of the 4 th year . by how many feet did the height of the tree increase each year ? 
Options: a ) 3 / 10 , b ) 2 / 5 , c ) 1 / 2 , d ) 2 / 3 , e ) 6 / 5
Answer: b
Input: Problem: country x imported approximately $ 1.44 billion of goods in 1996 . if country x imported $ 488 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year , by how much would country xs 1997 imports exceed those of 1996 ? 
Options: a ) $ 1124 million , b ) $ 1120 million , c ) $ 1144 million , d ) $ 1240 million , e ) $ 1488 million
Answer: e
Input: Problem: a car ferry can hold up to 70 tons of cargo . what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 4 tons ? 
Options: a ) 14 , b ) 20 , c ) 28 , d ) 32 , e ) 36
Answer: c
Input: Problem: the average monthly salary of 8 workers and one supervisor in a factory was 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . whenthesupervisor , whosesalarywas 430 . when the supervisor , whose salary was 870 per month , retired , a new person was appointed and then the average salary of 9 people was $ $ 420 per month . the salary of the new supervisor is : 
Options: a ) 233 , b ) 600 , c ) 287 , d ) 780 , e ) 191
Answer: d
Input: Problem: at an upscale fast - food restaurant , shin can buy 3 burgers , 7 shakes , and one cola for $ 120 . at the same place it would cost $ 158.50 for 4 burgers , 10 shakes , and one cola . how much would it cost for a meal of one burger , one shake , and one cola ? 
Options: a ) $ 21 , b ) $ 27 , c ) $ 31 , d ) $ 43 , e ) it can not be determined
Answer: d
Input: Problem: a company that ships boxes to a total of 15 distribution centers uses color coding to identify each center . if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors , what is the minimum number of colors needed for the coding ? ( assume that the order of the colors in a pair does not matter ) 
Options: a ) 8 , b ) 7 , c ) 6 , d ) 5 , e ) 9
Answer: d
Input: Problem: salesperson a ' s compensation for any week is $ 210 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salespeople earn the same compensation ? 
Options: a ) $ 3500 , b ) $ 5500 , c ) $ 7500 , d ) $ 9500 , e ) $ 11,500
Answer: c
Input: Problem: if 80 % of a number is equal to four - third of another number , what is the ratio of first number to the second number ? 
Options: a ) 5 : 3 , b ) 1 : 4 , c ) 3 : 7 , d ) 6 : 11 , e ) 2 : 3
Answer: a
Input: Problem: the difference between a positive proper fraction and its reciprocal is 9 / 20 . the fraction is : 
Options: a ) 4 / 5 , b ) 5 / 4 , c ) 3 / 5 , d ) 2 / 5 , e ) 3 / 4
Answer: a
Input: Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 35 kg . what is the weight of the new person ? 
Options: a ) 75 , b ) 65 , c ) 55 , d ) 95 , e ) 80
Answer: c
Input: Problem: what is the tens digit of 7 ^ 1001 ? 
Options: a ) 0 , b ) 0 , c ) 2 , d ) 3 , e ) 4
Answer: b