Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: reeya obtained 40 , 60 , 70 , 80 and 80 out of 100 in different subjects , what will be the average 
Options: a ) 66 , b ) 75 , c ) 80 , d ) 85 , e ) 90
Answer: a
Input: Problem: a cricketer makes a score of 134 runs in the 22 nd inning and thus increases his average by 3.5 . find his average after 22 nd inning . 
Options: a ) 40 , b ) 60.5 , c ) 52 , d ) 55 , e ) 36
Answer: b
Input: Problem: if 7 ^ k = 2 , then 7 ^ ( 4 k + 2 ) = 
Options: a ) 729 , b ) 754 , c ) 784 , d ) 783 , e ) 108
Answer: c
Input: Problem: each of 3 investments has a 20 % of becoming worthless within a year of purchase , independently of what happens to the other two investments . if simone invests an equal sum k in each of these 3 investments on january 1 , the approximate chance that by the end of the year , she loses no more than 1 / 3 of her original investment is 
Options: a ) 90 % , b ) 80 % , c ) 70 % , d ) 60 % , e ) 40 %
Answer: a
Input: Problem: x and y are positive integers . when x is divided by 9 , the remainder is 2 , and when x is divided by 7 , the remainder is 4 . when y is divided by 11 , the remainder is 3 , and when y is divided by 13 , the remainder is 12 . what is the least possible value of y - x ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Answer: c
Input: Problem: what is the smallest number which , when increased by 7 , is divisible by 7 , 8 , and 24 ? 
Options: a ) 154 , b ) 161 , c ) 168 , d ) 175 , e ) 182
Answer: b
Input: Problem: in a renowned city , the average birth rate is 6 people every two seconds and the death rate is 3 people every two seconds . estimate the size of the population net increase that occurs in one day . 
Options: a ) 129,500 , b ) 129,600 , c ) 129,700 , d ) 129,800 , e ) 129,900
Answer: b
Input: Problem: in a class of 20 students , 2 students did not borrow any books from the library , 8 students each borrowed 1 book , 3 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Answer: a
Input: Problem: if there are 20 apples and the apples have to be shared equally among 3 babies . what number of apples are to be added ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
Input: Problem: the scoring system in a certain football competition goes as follows : 3 points for victory , 1 point for a draw , and 0 points for defeat . each team plays 20 matches . if a team scored 5 points after 5 games , what is the least number of the remaining matches it has to win to reach the 40 - point mark by the end of the tournament ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: e
Input: Problem: there are 14 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ? 
Options: a ) 91 , b ) 30 , c ) 45 , d ) 60 , e ) 90
Answer: a
Input: Problem: the average of 11 10 prime numbers which are odd is ? 
Options: a ) 17.72 , b ) 18.52 , c ) 19.63 , d ) 16.53 , e ) 15.63
Answer: a
Input: Problem: an alloy of copper and zinc contains copper and zinc in the ratio 5 : 4 . another alloy of copper and zinc contains copper and zinc in the ratio 3 : 6 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? 
Options: a ) 4 : 1 , b ) 6 : 1 , c ) 1 : 3 , d ) 2 : 1 , e ) 4 : 1
Answer: c
Input: Problem: there are 11 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 ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60
Answer: d
Input: Problem: the sum of all two digit numbers divisible by 8 is 
Options: a ) 910 , b ) 510 , c ) 611 , d ) 616 , e ) 810
Answer: d
Input: Problem: the average weight of 16 girls in a class is 50.25 kg and that of the remaining 8 girls is 45.15 kg . find the average weights of all the girls in the class . 
Options: a ) a ) 48.55 , b ) b ) 49 , c ) c ) 51 , d ) d ) 61 , e ) e ) 62
Answer: a
Input: Problem: 3 , 14,39 , _ ? 
Options: a ) 81 , b ) 82 , c ) 83 , d ) 84 , e ) 85
Answer: d
Input: Problem: if p is a prime number greater than 3 , find the remainder when p ^ 2 + 12 is divided by 12 . 
Options: a ) 6 , b ) 1 , c ) 0 , d ) 8 , e ) 7
Answer: b
Input: Problem: if x < y < z and y - x > 1 , where x is an even integer and y and z are odd integers , what is the least possible value of z - x ? 
Options: a ) 6 , b ) 3 , c ) 8 , d ) 9 , e ) 10
Answer: b
Input: Problem: on a partly cloudy day , milton decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction of the total distance did he cover while the sun was shining on him ? 
Options: a ) 1 / 5 , b ) 1 / 6 , c ) 1 / 4 , d ) 1 / 7 , e ) 1 / 3
Answer: d
Input: Problem: if a 2 + b 2 + c 2 = 213 and ab + bc + ca = 6 , then a + b + c is 
Options: a ) 14 , b ) 20 , c ) 15 , d ) 32 , e ) 64
Answer: c
Input: Problem: 550 − ( 104 ÷ 20.8 ) = ? 
Options: a ) 545 , b ) 525 , c ) 535 , d ) 625 , e ) 105
Answer: a
Input: Problem: average of 10 matches is 32 , how many runs one should should score to increase his average by 5 runs . 
Options: a ) a ) 70 , b ) b ) 76 , c ) c ) 78 , d ) d ) 80 , e ) e ) 87
Answer: e
Input: Problem: if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2016 ) = ? 
Options: a ) 2017 , b ) 2088 , c ) 270 , d ) 1881 , e ) 1781
Answer: a
Input: Problem: the population of a town increased from 1 , 75,000 to 2 , 62,500 in a decade . the average percent increase of population per year is : 
Options: a ) 1 % , b ) 2 % , c ) 3 % , d ) 5 % , e ) 4 %
Answer: d
Input: Problem: when asked what the time is , a person answered that the amount of time left is 1 / 5 of the time already completed . what is the time . 
Options: a ) 2 , b ) 9 , c ) 3 , d ) 8 , e ) 6
Answer: d
Input: Problem: find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 3 x ( 11 ) ^ 2 
Options: a ) 26 , b ) 22 , c ) 25 , d ) 27 , e ) 29
Answer: d
Input: Problem: the temperature of a certain cup of coffee 15 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit ? 
Options: a ) 65 , b ) 75 , c ) 80 , d ) 85 , e ) 90
Answer: e
Input: Problem: a certain list consists of 21 different numbers . if n is in the list and n is 6 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ? 
Options: a ) 1 / 20 , b ) 1 / 6 , c ) 1 / 5 , d ) 3 / 13 , e ) 5 / 21
Answer: d
Input: Problem: how many of the positive divisors d of 120 are also multiples of 4 not including 120 ? 
Options: a ) 3 . , b ) 4 . , c ) 5 . , d ) 7 . , e ) 8 .
Answer: d
Input: Problem: suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price . on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 540 . on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 720 . how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear ? 
Options: a ) 12 , b ) 11 , c ) 10 , d ) 15 , e ) 16
Answer: c
Input: Problem: there is a 5 - digit number . the fifth digit is one fourth of the third digit and one half of the fourth digit . third digit is one half of the first digit . second digit is 5 more than the fifth digit . what is that 5 - digit number ? 
Options: a ) 86421 , b ) 86424 , c ) 89421 , d ) 96421 , e ) 76421
Answer: a
Input: Problem: a survey reveals that the average income of a company ’ s customers is $ 45000 per year . if 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $ 55000 , what is the average income of the other 40 customers ? is there a way to solve this using weighted average concept instead of doing tedious calculations ? 
Options: a ) $ 27,500 , b ) $ 35,000 , c ) $ 37,500 , d ) $ 42,500 , e ) $ 50,000
Answer: d
Input: Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 6 students is 14 years and that of the other 8 students is 16 years . the age of the 15 th student is 
Options: a ) 9 years , b ) 13 years , c ) 14 years , d ) 21 years , e ) 25 years
Answer: b
Input: Problem: a number of 47 marbles is to be divided and contain with boxes . if each box is to contain 3 , 4 , or 5 marbles , what is the largest possible number of boxes ? 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 16 , e ) 17
Answer: c
Input: Problem: how many integers from 1 to 100 exist such that each is divisible by 5 and also has 5 as a digit ? 
Options: a ) 10 , b ) 12 , c ) 11 , d ) 20 , e ) 25
Answer: c
Input: Problem: for any number y , y * is defined as the greatest positive even integer less than or equal to y . what is the value of 8.2 – 8.2 * ? 
Options: a ) 0.2 , b ) 1.2 , c ) 1.8 , d ) 2.2 , e ) 4.0
Answer: d
Input: Problem: from a total of 5 boys and 6 girls , how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ? 
Options: a ) 16 , b ) 24 , c ) 60 , d ) 120 , e ) 150
Answer: e
Input: Problem: 8 : 18 : : 24 : ? 
Options: a ) 38 , b ) 32 , c ) 44 , d ) 43 , e ) 42
Answer: a
Input: Problem: how many multiples of 4 are there between 12 and 108 , inclusive ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: e
Input: Problem: if bat = 58 hat = 52 cat = 57 then whats rat = ? 
Options: a ) 42 , b ) 45 , c ) 34 , d ) 76 , e ) 25
Answer: a
Input: Problem: the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 9 and 39 inclusive . 
Options: a ) 351 , b ) 384 , c ) 410 , d ) 424 , e ) 450
Answer: b
Input: Problem: robert left from a pvt company . management hold his salary rs . 15000 / - for one month . earlier robert borrowed rs . 7280 / - from company . but robert forget that . after one month robert asked his salary and accountant gives rs . 18500 / - to him . what is the incentive amount given to robert ? 
Options: a ) 9500 , b ) 12500 , c ) 10780 , d ) 10500 , e ) 8600
Answer: c
Input: Problem: if x is to be chosen at random from the integers between 1 to 7 , inclusive , and y is to be chosen at random from the integers between 8 and 12 , inclusive , what is the probability that x + y will be even ? 
Options: a ) 2 / 5 , b ) 3 / 7 , c ) 5 / 7 , d ) 17 / 35 , e ) 24 / 35
Answer: d
Input: Problem: out of 3 consecutive odd numbers 9 times the first number is equal to addition of twice the third number and adding 9 to twice the second . what is the first number ? 
Options: a ) 20 / 21 , b ) 23 / 25 , c ) 24 / 23 , d ) 22 / 5 , e ) 21 / 5
Answer: e
Input: Problem: if - 11 and - 8 are negative integers , then - 11 * - 8 + 5 is 
Options: a ) - 14 , b ) 14 , c ) 33 , d ) 83 , e ) 93
Answer: e
Input: Problem: what is the next number 12 13 15 17 111 113 117 119 123 129 ? 
Options: a ) 154 , b ) 220 , c ) 129 , d ) 131 , e ) 224
Answer: d
Input: Problem: the average monthly income of p and q is rs . 5050 . the average monthly income of q and r is rs . 6250 and the average monthly income of p and r is rs . 5200 . the monthly income of p is : 
Options: a ) 4050 , b ) 3500 , c ) 4000 , d ) 4500 , e ) 5000
Answer: c
Input: Problem: a sum of money is sufficient to pay b ' s wages for 12 days and c ' s wages for 24 days . the same money is sufficient to pay the wages of both for ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: c
Input: Problem: in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the building . if m is $ 700 higher than the average rental price for all one - bedroom apartments , and if the average rental price for all two - bedroom apartments is $ 2,100 higher that m , then what percentage of apartments in the building are two - bedroom apartments ? 
Options: a ) 25 % , b ) 15 % , c ) 20 % , d ) 40 % , e ) 45 %
Answer: a
Input: Problem: the average of 9 observations was 5 , that of the 1 st of 5 being 10 and that of the last 5 being 8 . what was the 5 th observation ? 
Options: a ) 45 , b ) 12 , c ) 15 , d ) 17 , e ) 18
Answer: a
Input: Problem: a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 400 when the rate to profit rises from 5 to 7 percent . find the capital of c ? 
Options: a ) 3377 , b ) 2899 , c ) 5000 , d ) 2778 , e ) 1991
Answer: c
Input: Problem: what is the remainder when 7 ^ 498 is divided by 5 ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: a
Input: Problem: a jar of 220 marbles is divided equally among a group of marble - players today . if 2 people joined the group in the future , each person would receive 1 marble less . how many people are there in the group today ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Answer: a
Input: Problem: in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number y of employees who take the subway to work ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Answer: d
Input: Problem: total 75 cows 25 cow gives each 2 liter milk 25 cow gives each 3 / 4 liter milk 25 cow gives each 1 / 4 liter milk this is split into 3 son per each 25 cows & 25 liter milk how ? 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 25 , e ) 18
Answer: d
Input: Problem: find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 5 
Options: a ) 26 , b ) 32 , c ) 25 , d ) 27 , e ) 29
Answer: b
Input: Problem: each child has 6 crayons and 12 apples . if there are 12 children , how many crayons are there in total ? 
Options: a ) 22 , b ) 65 , c ) 72 , d ) 78 , e ) 90
Answer: c
Input: Problem: find the lowest common multiple of 15 , 25 and 35 . 
Options: a ) 360 , b ) 420 , c ) 510 , d ) 525 , e ) 280
Answer: d
Input: Problem: bert left the house with n dollars . he spent 1 / 4 of this at the hardware store , then $ 9 at the dry cleaners , and then half of what was left at the grocery store . when he got home , he had $ 12 left in his pocket . what was the value of n ? 
Options: a ) $ 36 , b ) $ 44 , c ) $ 52 , d ) $ 60 , e ) $ 68
Answer: b
Input: Problem: the average of 25 results is 50 . the average of first 12 of those is 14 and the average of last 12 is 17 . what is the 13 th result ? 
Options: a ) 741 , b ) 752 , c ) 878 , d ) 785 , e ) 458
Answer: c
Input: Problem: in an it company , there are a total of 120 employees including 50 programmers . the number of male employees is 80 , including 35 male programmers . how many employees must be selected to guaranty that we have 3 programmers of the same sex ? 
Options: a ) 10 , b ) 50 , c ) 55 , d ) 35 , e ) 75
Answer: e
Input: Problem: what is the unit digit in the product ( 3 ^ 68 x 6 ^ 59 x 7 ^ 71 ) ? 
Options: a ) 1 , b ) 2 , c ) 4 , d ) 6 , e ) none of them
Answer: c
Input: Problem: solve ( 0.76 × 0.76 × 0.76 − 0.008 ) / ( 0.76 × 0.76 + 0.76 × 0.2 + 0.04 ) 
Options: a ) 0.56 , b ) 0.62 , c ) 0.5 , d ) 0.48 , e ) 0.52
Answer: a
Input: Problem: if 2 x - y = 4 then 6 x - 3 y = ? 
Options: a ) 15 , b ) 12 , c ) 18 , d ) 10 , e ) 14
Answer: b
Input: Problem: 1904 x 1904 = ? 
Options: a ) 3623216 , b ) 3624216 , c ) 3624316 , d ) 3625116 , e ) 3625216
Answer: e
Input: Problem: kamal obtained 66 , 65 , 77 , 62 and 75 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? 
Options: a ) 65 , b ) 69 , c ) 72 , d ) 75 , e ) none
Answer: b
Input: Problem: what least fraction should be added to 1 / ( 2 × 3 ) + 1 / ( 3 × 4 ) + 1 / ( 4 × 5 ) + . . . . . . . + 1 / ( 21 × 22 ) so that the result is unity ? 
Options: a ) 5 / 11 , b ) 6 / 11 , c ) 4 / 11 , d ) 7 / 11 , e ) 8 / 11
Answer: b
Input: Problem: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 9 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? 
Options: a ) 23 years , b ) 24 years , c ) 25 years , d ) 26 years , e ) 27 years
Answer: d
Input: Problem: in an election contested by two parties , party d secured 12 % of the total votes more than party r . if party r got 132000 votes , by how many votes did it lose the election ? 
Options: a ) 240000 , b ) 300000 , c ) 168000 , d ) 36000 , e ) 24,000
Answer: d
Input: Problem: on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.30 per glass on the first day , what was the price per glass on the second day ? 
Options: a ) $ 0.15 , b ) $ 0.20 , c ) $ 0.30 , d ) $ 0.40 , e ) $ 0.45
Answer: b
Input: Problem: how many positive integers between 1 and 300 are there such that they are multiples of 21 ? 
Options: a ) 14 , b ) 16 , c ) 17 , d ) 13 , e ) 15
Answer: a
Input: Problem: the average height of 35 boys in a class was calculated as 184 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 ) 187.89 cm , b ) 182.29 cm , c ) 123.98 cm , d ) 149.98 cm , e ) 146.89 cm
Answer: b
Input: Problem: a cab driver 5 days income was $ 200 , $ 150 , $ 750 , $ 400 , $ 500 . then his average income is ? 
Options: a ) $ 420 , b ) $ 410 , c ) $ 400 , d ) $ 390 , e ) $ 380
Answer: c
Input: Problem: 1297 x 1297 = ? 
Options: a ) a ) 1682209 , b ) b ) 1951601 , c ) c ) 1951602 , d ) d ) 1951603 , e ) e ) 1951604
Answer: a
Input: Problem: the average of marks obtained by 120 candidates was 35 . if the avg of marks of passed candidates was 39 & that of failed candidates was 39 and that of failed candidates was 15 , the no . of candidates who passed the examination is ? 
Options: a ) 80 , b ) 90 , c ) 100 , d ) 120 , e ) 140
Answer: c
Input: Problem: if x : y is 1 : 5 and y : z is 5 : 7 then x : z is equal to 
Options: a ) 1 : 6 , b ) 1 : 5 , c ) 1 : 4 , d ) 1 : 7 , e ) 1 : 3
Answer: d
Input: Problem: a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof . what could be the weight in grams of a package for which the charge is $ 2.05 ? 
Options: a ) 980 , b ) 1130 , c ) 1440 , d ) 1610 , e ) 1820
Answer: d
Input: Problem: if 1 / ( x + 5 ) + 1 / ( x - 5 ) = 1 / ( x - 5 ) , what is the value of x ? 
Options: a ) - 1 , b ) 3 , c ) 1 , d ) 2 , e ) 5
Answer: e
Input: Problem: a corporation that had $ 115.19 billion in profits for the year paid out $ 230.10 million in employee benefits . approximately what percent of the profits were the employee benefits ? ( note : 1 billion = 10 ^ 9 ) 
Options: a ) 50 % , b ) 20 % , c ) 5 % , d ) 2 % , e ) 0.2 %
Answer: e
Input: Problem: 5 , 7 , 11 , 18 , 33 , ( . . . ) 
Options: a ) 22 , b ) 35 , c ) 27 , d ) 63 , e ) 25
Answer: d
Input: Problem: when the number 72 y 6139 is exactly divisible by 11 , then the smallest whole number that can replace y is ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) 9
Answer: d
Input: Problem: there are 9 cities numbered 1 to 9 . from how many cities the flight can start so as to reach the city 8 either directly or indirectly such that the path formed is divisible by 3 . 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: b
Input: Problem: a ’ s speed is 30 / 17 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? 
Options: a ) 1 / 17 , b ) 13 / 30 , c ) 17 / 30 , d ) 11 / 30 , e ) 11 / 13
Answer: b
Input: Problem: ( 128.5 x 4 ) + ( 13.8 x 5 ) = ? x 10 
Options: a ) 524.48 , b ) 556.02 , c ) 58.3 , d ) 585.64 , e ) 595.46
Answer: c
Input: Problem: in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 57 liters and they are all empty , how much money total will it cost to fuel all cars ? 
Options: a ) 320.50 $ , b ) 380.50 $ , c ) 425.50 $ , d ) 450.50 $ , e ) 465.60 $
Answer: e
Input: Problem: a certain list consists of 21 different numbers . if n is in the list and n is 2 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ? 
Options: a ) 1 / 20 , b ) 1 / 6 , c ) 1 / 11 , d ) 4 / 21 , e ) 5 / 21
Answer: c
Input: Problem: 50 % of x is greater than 1 / 3 rd of x by 110 . what is x ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 350 , e ) 660
Answer: e
Input: Problem: denominator of a number is 4 less than the numerator . if 6 is added to the numerator , it becomes 3 times the denominator . find the denominator . 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: c
Input: Problem: at a certain committee meeting only associate professors and assistant professors are present . each associate professor has brought 2 pencils and 1 chart to the meeting , while each assistant professor has brought 1 pencil and 2 charts . if a total of 7 pencils and 11 charts have been brought to the meeting , how many people are present ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: a
Input: Problem: a man purchased 3 blankets @ rs . 100 each , 2 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 ) 278 , b ) 900 , c ) 278 , d ) 450 , e ) 772
Answer: b
Input: Problem: a company that ships boxes to a total of 12 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 ) 4 , b ) 5 , c ) 6 , d ) 12 , e ) 24
Answer: b
Input: Problem: sabrina is contemplating a job switch . she is thinking of leaving her job paying $ 90000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission for each sale made . if each of her sales is for $ 1500 , what is the least number of sales she must make per year if she is not to lose money because of the job change ? 
Options: a ) 57 , b ) 177 , c ) 178 , d ) 377 , e ) 200
Answer: e
Input: Problem: the average weight of 3 packets a , b and c is 84 kg . another packet d added into the group and the average now becomes 80 kg . if another packet e , whose weight is 3 kg more than that of d , replaces a then the average weight of b , c , d and e becomes 79 kg . the weight of a is : 
Options: a ) 70 kg , b ) 72 kg , c ) 75 kg , d ) 80 kg , e ) none of these
Answer: c
Input: Problem: at a monthly meeting , 3 / 5 of the attendees were males and 7 / 8 of the male attendees arrived on time . if 4 / 5 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ? 
Options: a ) 47 / 200 , b ) 31 / 200 , c ) 17 / 100 , d ) 11 / 100 , e ) 7 / 50
Answer: b
Input: Problem: the average age of applicants for a new job is 32 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ? 
Options: a ) 8 , b ) 77 , c ) 7 , d ) 18 , e ) 34
Answer: c
Input: Problem: the total age of a and b is 11 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 ) 11 years
Answer: e
Input: Problem: 18.05 ã — 0.001 = ? 
Options: a ) 0.1805 , b ) 0.01805 , c ) 1.805 , d ) 0.001805 , e ) none of these
Answer: b
Input: Problem: if sharon ' s weekly salary increased by 15 percent , she would earn $ 575 per week . if instead , her weekly salary were to decreased by 12 percent , how much would she earn per week ? 
Options: a ) rs . 540 , b ) rs . 580 , c ) rs . 560 , d ) rs . 620 , e ) rs . 650
Answer: c
Input: Problem: what two - digit number is less than the sum of the square of its digits by 13 and exceeds their doubled product by 5 ? 
Options: a ) 95 , b ) 99 , c ) 26 , d ) 73 , e ) none of the above
Answer: b
Input: Problem: which number should replace both the asterisks in ( * / 18 ) x ( * / 162 ) = 1 ? 
Options: a ) 27 , b ) 36 , c ) 54 , d ) 72 , e ) 90
Answer: c
Input: Problem: the average age of 30 students in a class is 10 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ? 
Options: a ) 59 , b ) 55 , c ) 61 , d ) 41 , e ) 36
Answer: d
Input: Problem: find the constant k so that : - x 2 - ( k + 10 ) x - 8 = - ( x - 2 ) ( x - 4 ) 
Options: a ) 11 , b ) 12 , c ) 16 , d ) 14 , e ) 15
Answer: c
Input: Problem: a contest will consist of n questions , each of which is to be answered eithertrueorfalse . anyone who answers all n questions correctly will be a winner . what is the least value of n for which the probability is less than 1 / 10 that a person who randomly guesses the answer to each question will be a winner ? 
Options: a ) 5 , b ) 10 , c ) 50 , d ) 100 , e ) 1000
Answer: d
Input: Problem: if 15 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ? 
Options: a ) 95 , b ) 90 , c ) 85 , d ) 80 , e ) 60
Answer: e
Input: Problem: set s consists of integers { 4 , 7 , 10 , 14 , 15 } . if integer n is included in the set , the average ( arithmetic mean ) of set s will increase by 50 % . what is the value of integer n ? 
Options: a ) 28 , b ) 32 , c ) 36 , d ) 40 , e ) 44
Answer: d
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 6 gallons of water and 12 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 ) 90
Answer: e
Input: Problem: a solution of 70 litres contains oil and water in the ratio 9 : x . if 6 litres of water is added to the solution , the ratio becomes 6 : 4 , find the value of x ? 
Options: a ) 6 , b ) 8.5 , c ) 9 , d ) 6.5 , e ) 5
Answer: e
Input: Problem: a pharmaceutical company received $ 3 million in royalties on the first $ 30 million in sales of and then $ 9 million in royalties on the next $ 120 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 30 million in sales to the next $ 120 million in sales ? 
Options: a ) 8 % , b ) 15 % , c ) 25 % , d ) 52 % , e ) 56 %
Answer: c
Input: Problem: pat , kate , and mark charged a total of 153 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark , how many more hours did mark charge to the project than kate ? 
Options: a ) 85 , b ) 36 , c ) 72 , d ) 90 , e ) 108
Answer: a
Input: Problem: how many 4 digit odd numbers do not use any digit more than once 
Options: a ) 1720 , b ) 2160 , c ) 224 , d ) 2460 , e ) none of these
Answer: e
Input: Problem: the maximum numbers of students among them 891 pens and 810 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is 
Options: a ) 91 , b ) 81 , c ) 1001 , d ) 1911 , e ) none
Answer: b
Input: Problem: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.1 kg . the weight of the new student is 
Options: a ) 22 kg , b ) 1 kg , c ) 22.4 kg , d ) 21 kg , e ) none of these
Answer: b
Input: Problem: how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 60 m long and 16 1 / 2 m board ? 
Options: a ) 99 , b ) 18 , c ) 16 , d ) 198 , e ) 15
Answer: d
Input: Problem: the average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 61 kg . what is the correct weight ? 
Options: a ) 58 kgs , b ) 58.65 kgs , c ) 58.95 kgs , d ) 59 kgs , e ) 59.85 kgs
Answer: b
Input: Problem: ashis ' s height is 25 % more than babji , by how much percent babji ' s height is less than ashis . 
Options: a ) 30 % , b ) 25 % , c ) 75 % , d ) 20 % , e ) none of these
Answer: d
Input: Problem: a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 210,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ? 
Options: a ) $ 35,000 , b ) $ 45,000 , c ) $ 55,000 , d ) $ 60,000 , e ) $ 75,000
Answer: d
Input: Problem: what is the greatest value of positive integer x such that 2 ^ x is a factor of 100 ^ 50 ? 
Options: a ) 70 , b ) 80 , c ) 90 , d ) 100 , e ) 120
Answer: d
Input: Problem: when positive integer x is divided by 11 , the quotient is y and the remainder is 4 . when 2 x is divided by 8 , the quotient is 3 y and the remainder is 1 . what is the value of 13 y – x ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: b
Input: Problem: if 5 a = 6 b and ab ≠ 0 , what is the ratio of a / 6 to b / 5 ? 
Options: a ) 36 / 25 , b ) 10 / 12 , c ) 1 , d ) 1 / 5 , e ) 25 / 36
Answer: c
Input: Problem: a man is 27 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ? 
Options: a ) 11 , b ) 25 , c ) 27 , d ) 22 , e ) 91
Answer: b
Input: Problem: the number of the members of a club is more than 10 and less than 40 . when 3 people sit at a table , other people exactly divided to 6 - people groups ( 6 people sit at a table ) or 5 - people groups ( 5 people sit at a table ) . if the members are divided to 7 - people groups , how many people will be left ? 
Options: a ) 0 . , b ) 1 . , c ) 2 . , d ) 4 . , e ) 5 .
Answer: e
Input: Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 230 , what were her original savings ? 
Options: a ) $ 900 , b ) $ 800 , c ) $ 1000 , d ) $ 920 , e ) $ 1500
Answer: d
Input: Problem: a pharmaceutical company received $ 2 million in royalties on the first $ 20 million in sales of and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ? 
Options: a ) 8 % , b ) 15 % , c ) 45 % , d ) 52 % , e ) 56 %
Answer: b
Input: Problem: the product x of two prime numbers is between 17 and 55 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25 , then x = 
Options: a ) 18 , b ) 29 , c ) 37 , d ) 44 , e ) 51
Answer: e
Input: Problem: jar x is 1 / 2 full of water . jar y , which has half the capacity of jar x , is 1 / 4 full of water . if the water in jar y is poured into jar x , then jar x will be filled to what fraction of its capacity ? 
Options: a ) 3 / 4 , b ) 5 / 8 , c ) 7 / 8 , d ) 5 / 12 , e ) 7 / 12
Answer: b
Input: Problem: a charitable association sold an average of 66 raffle tickets per member . among the female members , the average was 70 raffle tickets . the male to female ratio of the association is 1 : 2 . what was the average number e of tickets sold by the male members of the association 
Options: a ) 50 , b ) 56 , c ) 58 , d ) 62 , e ) 66
Answer: c
Input: Problem: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ? 
Options: a ) 75 kg , b ) 95 kg , c ) 45 kg , d ) 85 kg , e ) 25 kg
Answer: b
Input: Problem: a number x is 18 times another number y . the percentage that y is less than x is 
Options: a ) 12.5 % , b ) 87.5 % , c ) 80 % , d ) 94.4 % , e ) 1 %
Answer: d
Input: Problem: the price of a cycle is reduced by 25 per cent . the new price is reduced by a further 60 per cent . the two reductions together are equal to a single reduction of 
Options: a ) 45 % , b ) 70 % , c ) 35 % , d ) 32.5 % , e ) 30 %
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 , $ 1.81 . what is the median gasoline price ? 
Options: a ) $ 1 , b ) $ 1.81 , c ) $ 1.92 , d ) $ 2.13 , e ) $ 2.15
Answer: b
Input: Problem: a motorcycle importer is planning on increasing the price of a certain model by $ 1000 . at this new price 8 fewer motorcycles will be sold per month , but the total revenues will increase by $ 26000 to $ 594000 . what is the number of motorcycles the manufacturer will sell at this new price ? 
Options: a ) 61 , b ) 62 , c ) 65 , d ) 63 , e ) 64
Answer: d
Input: Problem: can you find the smallest non fractional number such that if the number gets divided by 6 , we get the remainder of 1 ; if the number gets divided by 7 , we get the remainder of 2 if the number gets divided by 8 , we get the remainder of 3 ; if the number gets divided by 9 , we get the remainder of 4 . 
Options: a ) 1006 , b ) 1230 , c ) 1010 , d ) 1200 , e ) 1300
Answer: a
Input: Problem: in an examination , a pupil ’ s average marks were 63 per paper . if he had obtained 20 more marks for his geography paper and 2 more marks for his history paper , his average per paper would have been 65 . how many papers were there in the examination ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Answer: d
Input: Problem: if 9 boys meet at a reunion and each boy shakes hands exactly once with each of the others , then what is the total number of handshakes 
Options: a ) 41 , b ) 42 , c ) 36 , d ) 44 , e ) 45
Answer: c
Input: Problem: the sum q of prime numbers that are greater than 60 but less than 70 is 
Options: a ) 67 , b ) 128 , c ) 191 , d ) 197 , e ) 260
Answer: b
Input: Problem: caleb spends $ 74.50 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 ) 5 , b ) 10 , c ) 20 , d ) 40 , e ) 49
Answer: e
Input: Problem: if 12 machine can finish a job in 40 days , then how many more machines would be needed to finish the job in one - fourth less time ? 
Options: a ) a . 4 , b ) b . 8 , c ) c . 10 , d ) d . 12 , e ) e . 16
Answer: a
Input: Problem: alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 3,800 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ? 
Options: a ) 850 , b ) 1,100 , c ) 1,900 , d ) 2,550 , e ) 3,400
Answer: c
Input: Problem: workers decided to raise rs . 3 lacs by equal contribution from each . had they contributed rs . 50 eachextra , the contribution would have been rs . 3.25 lacs . how many workers were they ? 
Options: a ) 350 , b ) 400 , c ) 500 , d ) 550 , e ) 590
Answer: c
Input: Problem: if x is the product of the positive integers from 1 to 8 , inclusive , and if i , k , m , and p are positive integers such that x = 2 ^ i ∗ 3 ^ k ∗ 5 ^ m ∗ 7 ^ p , then i + k + m + p = 
Options: a ) 4 , b ) 7 , c ) 8 , d ) 11 , e ) 12
Answer: d
Input: Problem: little john had $ 16.10 . he spent $ 3.25 on sweets and gave to his two friends $ 2.20 each . how much money was left ? 
Options: a ) $ 6.45 , b ) $ 8.35 , c ) $ 8.75 , d ) $ 8.85 , e ) $ 8.45
Answer: e
Input: Problem: a person travels from p to q a speed of 40 km / hr and returns by increasing his speed by 50 % . what is his average speed for both the trips ? 
Options: a ) 27 , b ) 87 , c ) 48 , d ) 77 , e ) 51
Answer: c
Input: Problem: a computer manufacturer produces a certain electronic component at a cost of $ 70 per component . shipping costs for delivering the components are $ 4 per unit . further , the manufacturer has costs of $ 14,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 250 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? 
Options: a ) 132 , b ) 138 , c ) 144 , d ) 128 , e ) 116
Answer: a
Input: Problem: a part - time employee whose hourly wage was increased by 50 percent decided to reduce the number of hours worked per week so that the employee ' s total weekly income would remain unchanged . by what percent should the number of hours worked be reduced ? 
Options: a ) 9 , b ) 13 , c ) 17 , d ) 20 , e ) 33.33
Answer: e
Input: Problem: what is the greatest integer m for which the number 20 ! / 10 ^ m is an integer ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: b
Input: Problem: how many quarters are equal to 2 dollars ? 
Options: a ) 1 , b ) 8 , c ) 12 , d ) 9 , e ) 7
Answer: b
Input: Problem: there are 2 sections a and b in a class , consisting of 16 and 14 students respectively . if the average weight of section a is 20 kg and that of section b is 25 kg , find the average of the whole class ? 
Options: a ) 33.5 kg , b ) 37.25 kg , c ) 42.45 kg , d ) 55.12 kg , e ) 29.78 kg
Answer: a
Input: Problem: if a wholesaler distributes items to several outlets ( a , b , c and d ) in the ratio of 1 / 10 : 1 / 11 : 1 / 15 : 1 / 16 , then find the total number of items the wholesaler distributes ? 
Options: a ) 945 , b ) 745 , c ) 845 , d ) 145 , e ) 345
Answer: c
Input: Problem: find the least number must be subtracted from 62575 so that remaining number is divisible by 99 . 
Options: a ) 93 , b ) 7 , c ) 54 , d ) 9 , e ) 6
Answer: b
Input: Problem: rates for having a manuscript typed at a certain typing service are $ 10 per page for the first time a page is typed and $ 5 per page each time a page is revised . if a certain manuscript has 100 pages , of which 30 were revised only once , 20 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ? 
Options: a ) $ 1250 , b ) $ 1350 , c ) $ 1150 , d ) $ 1360 , e ) $ 1370
Answer: b
Input: Problem: in 30 years , a will be twice as old as b was 30 years ago . if a is now 5 years older than b , the present age of b is ? 
Options: a ) 85 yrs , b ) 95 yrs , c ) 93 yrs , d ) 82 yrs , e ) 90 yrs
Answer: b
Input: Problem: a certain debt will be paid in 52 installments from january 1 to december 31 of a certain year . each of the first 22 payments is to be $ 410 ; each of the remaining payments is to be $ 65 more than each of the first 22 payments . what is the average ( arithmetic mean ) payment that will be made on the debt for the year ? 
Options: a ) 447.5 , b ) 450 , c ) 465 , d ) 468 , e ) 475
Answer: a
Input: Problem: the average age of 7 men increases by 3 years when two women are included in place of two men of ages 18 and 22 years . find the average age of the women ? 
Options: a ) 30.5 , b ) 26 , c ) 30 , d ) 18 , e ) 11
Answer: a
Input: Problem: 2 , 6 , 12 , 20 , 30 , 42 , 56 , ( . . . ) 
Options: a ) 62 , b ) 74 , c ) 72 , d ) 81 , e ) 58
Answer: c
Input: Problem: if 4 < x < 6 < y < 10 , then what is the greatest possible positive integer difference of x and y ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: c
Input: Problem: if f ( x ) = 2 x ^ 2 + y , and f ( 2 ) = 20 , what is the value of f ( 5 ) ? 
Options: a ) 104 , b ) 60 , c ) 62 , d ) 50 , e ) 25
Answer: c
Input: Problem: what is the unit ’ s digit of 7 ^ 4 
Options: a ) 3 , b ) 1 , c ) 5 , d ) 7 , e ) 9
Answer: b
Input: Problem: 270 ã · ? ã — 15 + 270 = 405 
Options: a ) 24 , b ) 25 , c ) 30 , d ) 39 , e ) 43
Answer: c
Input: Problem: what is the value of 8 1 / 3 % of 600 + 37 ½ of 400 
Options: a ) 100 , b ) 300 , c ) 150 , d ) 200 , e ) 250
Answer: d
Input: Problem: fonzie , aunt bee and lapis paid $ 7000 , $ 8000 and $ 9000 respectively to buy a map to capt . plaidstache ' s treasure . when they found it , the treasure turned out to be worth a cool $ 900000 . how much of it should lapis get ? 
Options: a ) $ 300000 , b ) $ 320000 , c ) $ 335000 , d ) $ 336500 , e ) $ 337500
Answer: e
Input: Problem: if 22 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ? 
Options: a ) 95 , b ) 90 , c ) 88 , d ) 80 , e ) 75
Answer: c
Input: Problem: when positive integer x is divided by positive integer y , the remainder is 9 . if x / y = 96.12 , what is the value of y ? 
Options: a ) 96 , b ) 75 , c ) 48 , d ) 25 , e ) 12
Answer: b
Input: Problem: sum of the squares of 3 no . ' s is 179 and the sum of their products taken two at a time is 131 . find the sum ? 
Options: a ) 20 , b ) 21 , c ) 26 , d ) 28 , e ) 30
Answer: b
Input: Problem: what is 3 2 / 3 - 2 1 / 4 divided by 6 / 7 - 2 / 5 ? 
Options: a ) 17 / 36 , b ) 36 / 17 , c ) 17 / 64 , d ) 15 / 4 , e ) 14 / 4
Answer: c
Input: Problem: the number of singles that a baseball player hit increased 18 percent from her first season to her second season , and the number of doubles that she hit in the same time period decreased by 6 percent . if the total number of singles and doubles that she hit increased 3 percent from her first season to her second season , what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ? 
Options: a ) 1 : 3 , b ) 4 : 5 , c ) 1 : 5 , d ) 2 : 5 , e ) 3 : 5
Answer: e
Input: Problem: the unit digit in the product 1256 * 6785 * 4587 * 9785 is ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: a
Input: Problem: two quarts containing 2 ⁄ 3 water and 1 ⁄ 3 formula are mixed with 3 quarts containing 3 ⁄ 8 water and 5 ⁄ 8 formula . approximately what percent of the combined 5 - quart mixture is water ? 
Options: a ) 40 % , b ) 45 % , c ) 50 % , d ) 55 % , e ) 60 %
Answer: c
Input: Problem: a box contains either blue or red flags . the total number of flags in the box is an even number . a group of children are asked to pick up two flags each . if all the flags are used up in the process such that 60 % of the children have blue flags , and 65 % have red flags , what percentage of children have flags of both the colors ? 
Options: a ) 5 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) 25 %
Answer: e
Input: Problem: if x is 13 percent greater than 80 , then x = 
Options: a ) 88.8 , b ) 90.4 , c ) 88.0 , d ) 70.9 , e ) 71.2
Answer: b
Input: Problem: if the number 517 * 324 is completely divisible by 7 , then the smallest whole number in the place of * will be : 
Options: a ) 3 , b ) 1 , c ) 2 , d ) 4 , e ) 6
Answer: e
Input: Problem: 4 / 15 of 5 / 7 of a number is greater than 4 / 9 of 2 / 5 of the same number by 24 . what is half of that number ? 
Options: a ) 670 , b ) 750 , c ) 945 , d ) 375 , e ) 315
Answer: c
Input: Problem: the smallest number which when diminished by 8 , is divisible 8 , 16 , 24 , 32 and 40 is : 
Options: a ) 1008 , b ) 1015 , c ) 488 , d ) 490 , e ) 590
Answer: c
Input: Problem: in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 36 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? 
Options: a ) 35.67 % , b ) 65.80 % , c ) 68.57 % , d ) 69.57 % , e ) none of these
Answer: b
Input: Problem: how many numbers from 2 to 13 are exactly divisible by 2 ? 
Options: a ) a ) 2 , b ) b ) 3 , c ) c ) 5 , d ) d ) 7 , e ) e ) 6
Answer: e
Input: Problem: find 94 × × 97 
Options: a ) 93 / 198 , b ) 93 / 12 , c ) 93 / 18 , d ) 93 / 10 , e ) 93 / 11
Answer: c
Input: Problem: mark and ann together were allocated n boxes of cookies to sell for a club project . mark sold 9 boxes less than n and ann sold 2 boxes less than n . if mark and ann have each sold at least one box of cookies , but together they have sold less than n boxes , what is the value of n ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13
Answer: b
Input: Problem: if a - b = 6 and a 2 + b 2 = 48 , find the value of ab . 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 6 , e ) 19
Answer: d
Input: Problem: for covering 88 km a wheel revolve 1000 times . what is the radius of wheel ? 
Options: a ) 14 m , b ) 24 m , c ) 28 m , d ) 40 m , e ) none of the above
Answer: c
Input: Problem: ram get 450 marks in his exam which is 90 % of total marks . what is the total marks ? 
Options: a ) 475 , b ) 600 , c ) 550 , d ) 500 , e ) 525
Answer: d
Input: Problem: find the value of 72518 x 9999 = m ? 
Options: a ) 456578972 , b ) 436567874 , c ) 653658791 , d ) 725117481 , e ) 725107482
Answer: e
Input: Problem: if x is an integer and 2.134 × 10 ^ x is less than 21,000 , what is the greatest possible value for x ? 
Options: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3
Answer: e
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 41 degrees . find the temperature on friday ? 
Options: a ) 65 degrees , b ) 73 degrees , c ) 37 degrees , d ) 34 degrees , e ) 33 degrees
Answer: e
Input: Problem: if | 20 x - 10 | = 150 , then find the product of the values of x ? 
Options: a ) - 45 , b ) 56 , c ) - 62 , d ) 35 , e ) - 30
Answer: b
Input: Problem: a vendor sells 60 percent of the apples he had and throws away 40 percent of the remainder . the next day , the vendor sells 50 percent of the remaining apples and throws away the rest . in total , what percent of his apples does the vendor throw away ? 
Options: a ) 24 , b ) 26 , c ) 28 , d ) 30 , e ) 32
Answer: c
Input: Problem: the product of two numbers is 276 and the sum of their squares is 289 . the sum of the number is ? 
Options: a ) a ) 29 , b ) b ) 25 , c ) c ) 27 , d ) d ) 31 , e ) e ) 35
Answer: a
Input: Problem: in cliff ’ s impressive rock collection , there are half as many igneous rocks as sedimentary rocks . of the igneous rocks , 1 / 3 are shiny and the rest are matte , while 1 / 5 of the sedimentary rocks are shiny . if there are 30 shiny igneous rocks , how many total rocks does cliff have ? 
Options: a ) 30 , b ) 45 , c ) 270 , d ) 90 , e ) 135
Answer: c
Input: Problem: how many positive integers between 1 and 400 are there such that they are multiples of 25 ? 
Options: a ) 12 , b ) 13 , c ) 16 , d ) 15 , e ) 11
Answer: c
Input: Problem: eighteen years ago , a father was 3 times as old as his son . now the father is only twice as old as his son . then the sum of the present ages of the son and the father is : 
Options: a ) 120 , b ) 76 , c ) 108 , d ) 105 , e ) 86
Answer: c
Input: Problem: the average salary of 15 people in the shipping department at a certain firm is $ 21,000 . the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 16,000 each . what is the average salary of the remaining employees ? 
Options: a ) $ 19,250 , b ) $ 18,500 , c ) $ 21,000 , d ) $ 15,850 , e ) $ 12,300
Answer: c
Input: Problem: one half of a two digit number exceeds its one third by 7 . what is the sum of the digits of the number ? 
Options: a ) a ) 3 , b ) b ) 5 , c ) c ) 7 , d ) d ) 9 , e ) e ) 10
Answer: e