Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: a batsman scores 26 runs and increases his average from 14 to 15 . find the runs to be made if he wants top increasing the average to 19 in the same match ? 
Options: a ) 12 , b ) 18 , c ) 25 , d ) 74 , e ) 88
Answer: d
Input: Problem: the operation is defined for all integers a and b by the equation ab = ( a - 1 ) ( b - 1 ) . if x 9 = 160 , what is the value of x ? 
Options: a ) 18 , b ) 15 , c ) 17 , d ) 19 , e ) 21
Answer: e
Input: Problem: set j consists of 5 consecutive even numbers . if the smallest term in the set is - 2 , what is the range of the positive integers in set j ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Answer: c
Input: Problem: find the sum of first 32 natural numbers 
Options: a ) 470 , b ) 468 , c ) 465 , d ) 463 , e ) 528
Answer: e
Input: Problem: pat , kate and mark charged a total of 216 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much times as mark , how many more hours did mark charge to the project than kate . 
Options: a ) 18 , b ) 36 , c ) 120 , d ) 90 , e ) 108
Answer: c
Input: Problem: a store sells 2 kinds of jelly beans mixes ( a and b ) both made up of red and yellow beans . if b contains 20 % more red beans than a but 10 % fewer yellow beans . and jar a contains twice as many red beans as yellow by what percent is the number of beans in jar b larger than the number in jar a 
Options: a ) 5 , b ) 6 , c ) 8 , d ) 9 , e ) 10
Answer: e
Input: Problem: what is the unit digit of 3 ^ 58 ? 
Options: a ) 0 , b ) 5 , c ) 7 , d ) 1 , e ) 9
Answer: e
Input: Problem: the average of first five multiples of 7 is 
Options: a ) 21 , b ) 6 , c ) 9 , d ) 12 , e ) 15
Answer: a
Input: Problem: find the average of all prime numbers between 12 and 24 . 
Options: a ) 30 , b ) 33.6 , c ) 18 , d ) 20 , e ) none
Answer: c
Input: Problem: the cost of 2 chairs and 3 tables is rs . 1400 . the cost of 3 chairs and 2 tables is rs . 1200 . the cost of each table is more than that of each chair by ? 
Options: a ) 228 , b ) 287 , c ) 277 , d ) 188 , e ) 200
Answer: e
Input: Problem: of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 40 grades are d ' s . what is the number of students in the course ? 
Options: a ) 80 , b ) 110 , c ) 160 , d ) 800 , e ) 400
Answer: d
Input: Problem: how many numbers from 10 to 43 are exactly divisible by 3 ? 
Options: a ) 13 , b ) 11 , c ) 16 , d ) 17 , e ) 18
Answer: b
Input: Problem: working simultaneously and independently at an identical constant rate , 4 machines of a certain type can produce a total of x units of product p in 6 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 3 x units of product p in 6 days ? 
Options: a ) 24 , b ) 18 , c ) 16 , d ) 12 , e ) 8
Answer: d
Input: Problem: mixture a is 15 percent alcohol , and mixture b is 50 percent alcohol . if the two are poured together to create a 4 - gallon mixture that contains 30 percent alcohol , approximately how many gallons of mixture a are in the mixture ? 
Options: a ) 1.5 , b ) 1.7 , c ) 2.3 , d ) 2.5 , e ) 3.0
Answer: c
Input: Problem: 1 / 3 + 1 / 2 - 5 / 6 + 1 / 5 + 1 / 4 - 9 / 20 - 9 / 20 = 
Options: a ) 0 , b ) 2 / 15 , c ) 2 / 5 , d ) 9 / 20 , e ) 5 / 6
Answer: d
Input: Problem: what is the sum of all the odd numbers between 24 and 50 , inclusive ? 
Options: a ) 592 , b ) 481 , c ) 330 , d ) 475 , e ) 483
Answer: b
Input: Problem: how many 4 - digit positive integers are multiple of each integer from 1 to 10 
Options: a ) 1520 , b ) 2520 , c ) 3520 , d ) 5140 , e ) 7660
Answer: b
Input: Problem: if the remainder is 15 when the integer n is divided by 28 , what is the remainder when 2 n is divided by 14 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: c
Input: Problem: in the coordinate plane , points ( x , 3 ) and ( 5 , y ) are on line k . if line k passes through the origin and has slope 3 / 5 , then x + y = 
Options: a ) 9 , b ) 8 , c ) 7 , d ) 5 , e ) 6
Answer: b
Input: Problem: mary sold boxes of butter cookies . ann sold 5 times as much as she did . 18 boxes of cookies were sold that day , how many boxes did mary sell ? 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 10 , e ) 18
Answer: a
Input: Problem: john want to buy a $ 100 trouser at the store , but he think it ’ s too expensive . finally , it goes on sale for $ 40 . what is the percent decrease ? 
Options: a ) 20 % , b ) 30 % , c ) 40 % , d ) 70 % , e ) 60 %
Answer: e
Input: Problem: set q consists of integers { 3 , - 8 , y , 19 , - 6 } and set b consists of integers { k , - 3 , 0 , 16 , - 5 , 9 } . number l represents the median of set q , number m represents mode of set b and number z = l ^ m . if y is an integer greater than 21 , for what value of k will z be a divisor of 26 ? 
Options: a ) - 2 , b ) - 1 , c ) 0 , d ) 1 , e ) 2
Answer: c
Input: Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 7 , x ^ 4 + ( 1 / x ^ 4 ) = ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 14 , e ) 47
Answer: e
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 78 . how tall is the fourth person ? 
Options: a ) 82 , b ) 84 , c ) 86 , d ) 88 , e ) 90
Answer: b
Input: Problem: if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of m + 2 n ? 
Options: a ) 11 , b ) 18 , c ) 20 , d ) 25 , e ) 40
Answer: e
Input: Problem: the average salary / head of allthe workers in a workshop is rs . 750 , if the average salary / head of 5 technician is rs . 900 and the average salary / head of the rest is rs . 700 , the total no . of workers in the work - shop is ? 
Options: a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 26
Answer: b
Input: Problem: how many of the integers between 25 and 45 are even ? 
Options: a ) 21 , b ) 20 , c ) 11 , d ) 10 , e ) 9
Answer: d
Input: Problem: $ 406 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ? 
Options: a ) $ 208 , b ) $ 216 , c ) $ 224 , d ) $ 232 , e ) $ 240
Answer: d
Input: Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 4340 , r will receive 
Options: a ) 600 , b ) 700 , c ) 840 , d ) 900 , e ) none of these
Answer: c
Input: Problem: excluding stoppages , the average speed of a bus is 120 km / hr and including stoppages , the average speed of the bus is 40 km / hr . for how many minutes does the bus stop per hour ? 
Options: a ) 15 min , b ) 18 min , c ) 16 min , d ) 20 min , e ) 40 min
Answer: e
Input: Problem: elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service . elvin ' s total telephone bill for january was $ 52 and elvin ' s total telephone bill for february was 76 $ . if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january , what is elvin ' s fixed monthly charge for internet service ? 
Options: a ) $ 5 , b ) $ 10 , c ) $ 14 , d ) $ 28 , e ) $ 29
Answer: d
Input: Problem: if ( a - b - c + d = 13 ) and ( a + b - c - d = 9 ) , what is the value of ( b - d ) ^ 2 ? 
Options: a ) 4 . , b ) 8 . , c ) 12 . , d ) 16 . , e ) 64 .
Answer: a
Input: Problem: how many digits 2 ^ 300 has ? 
Options: a ) 31 , b ) 35 , c ) 50 , d ) 91 , e ) 101
Answer: d
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 $ 3,200 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ? 
Options: a ) 850 , b ) 1,600 , c ) 1,700 , d ) 2,550 , e ) 3,400
Answer: b
Input: Problem: what is the least number to be subtracted from 1300 to make it a perfect square ? 
Options: a ) 80 , b ) 25 , c ) 75 , d ) 63 , e ) 90
Answer: c
Input: Problem: line m lies in the xy - plane . the y - intercept of line m is - 2 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 8 ) and ( 6 , - 4 ) . what is the slope of line m ? 
Options: a ) - 3 , b ) - 1 , c ) - 1 / 3 , d ) 0 , e ) 1
Answer: e
Input: Problem: an auto assembly plant performs 6 functions with each frame that arrives : add axles , add wheels to the axles , install the windshield to the frame , install the instrument panel , install the steering wheel , and install the interior seating . once those 6 tasks are performed , each car goes to a separate building for finishing touches . if these tasks can be arranged along a linear assembly line in any order , except that the axles must be installed before the wheels can be added , how many y ways can the assembly line be arranged ? 
Options: a ) 120 , b ) 240 , c ) 360 , d ) 480 , e ) 720
Answer: c
Input: Problem: find the smallest number in gp whose sum is 38 and product is 1728 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: d
Input: Problem: positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 100 . what is the value of x ? 
Options: a ) 50 , b ) 100 , c ) 200 , d ) 1,000 , e ) 2,000
Answer: c
Input: Problem: the sum of the squares of two consecutive positive integers exceeds their product by 91 . find the integers ? 
Options: a ) 9 , 10 , b ) 10 , 11 , c ) 11 , 12 , d ) 12 , 13 , e ) none of these
Answer: a
Input: Problem: the average age of a group of 10 persons was decreased by 3 years when one person , whose age was 42 years , was replaced by a new person . find the age of the new person ? 
Options: a ) 22 , b ) 18 , c ) 12 , d ) 88 , e ) 66
Answer: c
Input: Problem: if 3 < 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: d
Input: Problem: ? x 24 = 173 x 240 
Options: a ) 545 , b ) 685 , c ) 865 , d ) 1730 , e ) 534
Answer: d
Input: Problem: a no . when divided by 223 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ? 
Options: a ) 2 , b ) 7 , c ) 9 , d ) 11 , e ) 15
Answer: d
Input: Problem: when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 12 - inch boxes . if the university pays $ 0.50 for every box , and if the university needs 1.92 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ? 
Options: a ) $ 150 , b ) $ 200 , c ) $ 320 , d ) $ 650 , e ) $ 810
Answer: b
Input: Problem: express the ratio 3 2 / 3 : 7 1 / 3 in its simplest form . 
Options: a ) 1 : 21 , b ) 1 : 1 , c ) 2 : 1 , d ) 1 : 2 , e ) 2 : 11
Answer: d
Input: Problem: how many positive even integers less than 100 contain digits 7 or 9 ? 
Options: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 10
Answer: e
Input: Problem: what is the units digit of ( 3 ^ 5 ) ( 4 ^ 13 ) ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 7 , e ) 8
Answer: a
Input: Problem: rs . 2600 is divided so that 4 times the first share , thrice the 2 nd share and twice the third share amount to the same . what is the value of the third share ? 
Options: a ) s . 1200 , b ) s . 1542 , c ) s . 1528 , d ) s . 1540 , e ) s . 1549
Answer: a
Input: Problem: a pineapple costs rs 9 each and a watermelon costs rs . 6 each . if i spend rs 51 on total what is the number of pineapple i purchased ? 
Options: a ) 6 , b ) 7 , c ) 5 , d ) 3 , e ) 2
Answer: c
Input: Problem: if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value q of z - x ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: d
Input: Problem: if 7800 / 3.25 = 2400 , then 780.0 / 32.5 is equal to ? 
Options: a ) 21 , b ) 28 , c ) 26 , d ) 25 , e ) 24
Answer: e
Input: Problem: the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6 , where c is a constant . what is the sum of the first 17 positive perfect squares ? 
Options: a ) 1,010 , b ) 1,164 , c ) 1,240 , d ) 1,316 , e ) 1,785
Answer: e
Input: Problem: if 20 % of a class averages 80 % on a test , 50 % of the class averages 60 % on the test , and the remainder of the class averages 40 % on the test , what is the overall class average ? 
Options: a ) 80 % , b ) 74 % , c ) 58 % , d ) 56 % , e ) 50 %
Answer: c
Input: Problem: when positive integer n is divided by 3 , the remainder is 2 . when n is divided by 6 , 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: d
Input: Problem: marcella has 25 pairs of shoes . if she loses 9 individual shoes , what is the greatest number of matching pairs she could have left ? 
Options: a ) 21 , b ) 20 , c ) 19 , d ) 16 , e ) 15
Answer: b
Input: Problem: how many two - digit numbers yield a remainder of 1 when divided by both 6 and 15 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: c
Input: Problem: on the number line , if x is halfway between - 11 and 5 , and if y is halfway between - 3 and 7 , what number is halfway between x and y ? 
Options: a ) - 1.5 , b ) - 0.5 , c ) 0.5 , d ) 1.5 , e ) 2.5
Answer: b
Input: Problem: what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 8 ? 
Options: a ) 61,600 , b ) 64,850 , c ) 64,749 , d ) 49,700 , e ) 56,720
Answer: a
Input: Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 40 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of 
Options: a ) 18 % , b ) 20 % , c ) 21 % , d ) 40 % , e ) can not be determined
Answer: d
Input: Problem: how many 4 digit numbers have no repeat digits , do not contain zero , and have a sum of digits d equal to 28 ? 
Options: a ) 14 , b ) 24 , c ) 28 , d ) 48 , e ) 96
Answer: d
Input: Problem: 7 , 26 , 63 , 124 , ( . . . . ) 
Options: a ) 342 , b ) 125 , c ) 289 , d ) 564 , e ) 36
Answer: a
Input: Problem: what is the remainder when 1201 × 1202 × 1203 × 1207 is divided by 6 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: a
Input: Problem: a no . when divided by 221 gives a remainder 43 , what remainder will be obtainedby dividingthe same no . 17 ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 11 , e ) 14
Answer: c
Input: Problem: an alloy of copper and zinc contains copper and zinc in the ratio 3 : 5 . another alloy of copper and zinc contains copper and zinc in the ratio 6 : 2 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? 
Options: a ) 1 : 2 , b ) 2 : 2 , c ) 2 : 5 , d ) 2 : 6 , e ) 2 : 7
Answer: a
Input: Problem: a no . when divided by 221 gives a remainder 43 , what remainder will beobtained by dividing the same number 19 ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 11 , e ) 15
Answer: c
Input: Problem: how many different 3 - digit multiples of 5 can be composed of digits 2 , 7 , 4 , and 5 if none of the digits is repeated ? 
Options: a ) 3 , b ) 6 , c ) 10 , d ) 12 , e ) 18
Answer: b
Input: Problem: the youngest of 4 children has siblings who are 3 , 5 , and 8 years older than she is . if the average ( arithmetic mean ) age of the 4 siblings is 21 , what is the age of the youngest sibling ? 
Options: a ) 17 , b ) 18 , c ) 19 , d ) 21 , e ) 22
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 7 gallons of water and 14 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 ) 105 , d ) 150 , e ) 175
Answer: c
Input: Problem: what is the sum of 100 consecutive integers from - 49 inclusive , in a increasing order ? 
Options: a ) - 29 , b ) 50 , c ) - 30 , d ) 30 , e ) 60
Answer: b
Input: Problem: diana took out a charge account at the general store and agreed to pay 6 % simple annual interest . if she charges $ 60 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? 
Options: a ) $ 62.40 , b ) $ 62.80 , c ) $ 63.20 , d ) $ 63.60 , e ) $ 64.00
Answer: d
Input: Problem: in a class of 42 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 10 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 ) 1 , b ) 5 , c ) 8 , d ) 13 , e ) 15
Answer: a
Input: Problem: in a group of 150 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ? 
Options: a ) 0.4 , b ) 0.5 , c ) 0.65 , d ) 0.75 , e ) 0.85
Answer: a
Input: Problem: divide rs . 1300 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ? 
Options: a ) 346 , b ) 368 , c ) 375 , d ) 337 , e ) 325
Answer: e
Input: Problem: if the price of a certain bond on may 1 st was 2 / 3 the price of the bond on june 1 st and the price of the bond on july 1 st was 25 % greater than the price of the bond on may 1 st . then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st ? 
Options: a ) 50 % , b ) 75 % , c ) 120 % , d ) 133 1 / 3 % , e ) 150 %
Answer: d
Input: Problem: if the average ( arithmetic mean ) of a and b is 40 and the average of b and c is 60 , what is the value of c − a ? 
Options: a ) 25 , b ) 40 , c ) 90 , d ) 140 , e ) it can not be determined from the information given .
Answer: b
Input: Problem: if f ( x ) = ax ^ 2 – 6 x + ax + 1 , then f ( b ) – f ( - b ) will equal : 
Options: a ) 0 , b ) - 12 b + 2 ab , c ) 2 ab ^ 4 – 8 b ^ 2 – 6 , d ) - 2 ab ^ 4 + 8 b ^ 2 + 6 , e ) 2 ab ^ 4 – 8 b ^ 2 + 2 ab – 6
Answer: b
Input: Problem: $ 392 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ? 
Options: a ) $ 212 , b ) $ 216 , c ) $ 220 , d ) $ 224 , e ) $ 228
Answer: d
Input: Problem: in the rectangular coordinate system , if the line x = 6 y + 5 passes through points ( m , n ) and ( m + 2 , n + p ) , what is the value of p ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6
Answer: b
Input: Problem: the average of first 18 natural numbers is ? 
Options: a ) 5.6 , b ) 9.5 , c ) 9.1 , d ) 9.8 , e ) 5.2
Answer: b
Input: Problem: there are 50 boys in a class . their average weight is 45 kg . when one boy leaves the class , the average reduces by 100 g . find the weight of the boy who left the class . 
Options: a ) 40.9 kg , b ) 42.9 kg , c ) 49.9 kg , d ) 39.9 kg , e ) none of these
Answer: c
Input: Problem: rs . 1170 is divided so that 4 times the first share , thrice the 2 nd share and twice the third share amount to the same . what is the value of the third share ? 
Options: a ) rs . 720 , b ) rs . 920 , c ) rs . 537 , d ) rs . 540 , e ) rs . 637
Answer: d
Input: Problem: carina has 85 ounces of coffee divided into 5 - and 10 - ounce packages . if she has 2 more 5 - ounce packages than 10 - ounce packages , how many 10 - ounce packages does she have ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: a
Input: Problem: the mean of 30 values was 180 . it was detected on rechecking that one value 155 was wrongly copied as 135 for the computation of the mean . find the correct mean . 
Options: a ) 151 , b ) 149 , c ) 152 , d ) 148 , e ) 180.67
Answer: e
Input: Problem: david is 12 years older than his daughter rosy . in 4 years david will be twice as old as rosy . what is rosy current age . 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 8 , e ) 12
Answer: d
Input: Problem: on the number line , the number p is twice as many units from - 2 as - 2 is from 5 . if p is less than – 2 , what is the value of p ? 
Options: a ) – 16 , b ) – 10 , c ) – 6 , d ) 10 , e ) 14
Answer: a
Input: Problem: 2 : 3 : : 23 : ? 
Options: a ) 25 , b ) 28 , c ) 22 , d ) 29 , e ) 30
Answer: d
Input: Problem: a man is 18 years older than his son . in eight years , his age will be twice the age of his son . the present age of this son is 
Options: a ) 5 years , b ) 10 years , c ) 15 years , d ) 20 years , e ) 25 years
Answer: b
Input: Problem: a person ' s present age is two - fifth of the age of his mother . after 10 years , he will be one - half of the age of his mother . how old is the mother at present ? 
Options: a ) a ) 25 , b ) b ) 40 , c ) c ) 32 , d ) d ) 50 , e ) e ) 28
Answer: d
Input: Problem: how many 7 in between 1 to 100 ? 
Options: a ) 18 , b ) 20 , c ) 22 , d ) 23 , e ) 24
Answer: b
Input: Problem: if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 160 , how much more remains to be paid ? 
Options: a ) $ 880 , b ) $ 990 , c ) $ 1,000 , d ) $ 1,100 , e ) $ 1,440
Answer: e
Input: Problem: the largest 5 digit number exactly divisible by 91 is : 
Options: a ) 25698 , b ) 581396 , c ) 369741 , d ) 99918 , e ) 1258
Answer: d
Input: Problem: a certain kind of necklace is made from 9 green , 6 white , and 3 orange beads . what is the maximum number of these necklaces that can be made from 45 beads of each color ? 
Options: a ) 7 , b ) 8 , c ) 5 , d ) 6 , e ) 2
Answer: c
Input: Problem: how many positive integers less than 50 have a reminder 5 when divided by 7 ? 
Options: a ) 3 , b ) 7 , c ) 4 , d ) 5 , e ) 6
Answer: b
Input: Problem: if 2 x + y = 7 and x + 2 y = 5 , then ( 2 x + 2 y ) / 3 = 
Options: a ) 3 , b ) 4 / 3 , c ) 17 / 5 , d ) 18 / 5 , e ) 4
Answer: a
Input: Problem: sushil got thrice as many marks in english as in science . his total marks in english , science and maths are 170 . if the ratio of his marks in english and maths is 1 : 4 , find his marks in science ? 
Options: a ) 17 , b ) 77 , c ) 66 , d ) 55 , e ) 31
Answer: a
Input: Problem: how many prime numbers are between 26 / 3 and 85 / 6 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: if a = 105 and a ^ 3 = 21 * 49 * 45 * b , what is the value of b ? 
Options: a ) 25 , b ) 42 , c ) 45 , d ) 49 , e ) 54
Answer: a
Input: Problem: what is the smallest number which when increased by 3 is divisible by 27 , 35 , 25 , & 21 ? 
Options: a ) 4722 , b ) 4725 , c ) 4728 , d ) 4731 , e ) 4733
Answer: a
Input: Problem: the average salary of 15 people in the shipping department at a certain firm is $ 20,000 . the salary of 5 of the employees is $ 20,000 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 ) $ 18,000 , d ) $ 15,850 , e ) $ 22,600
Answer: e
Input: Problem: 1 = 5,2 = 25,3 = 253,4 = 150,5 = 225 then 150 = ? 
Options: a ) 1 , b ) 255 , c ) 4 , d ) 445 , e ) 235
Answer: c
Input: Problem: 3 x ^ 2 - 6 x + 3 = 0 find the above equation find the value of x 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 4 , e ) 6
Answer: b
Input: Problem: the cost of 10 kg of mangos is equal to the cost of 24 kg of rice . the cost of 6 kg of flour equals the cost of 2 kg of rice . the cost of each kg of flour is $ 20.50 . find the total cost of 4 kg of mangos , 3 kg of rice and 5 kg of flour ? 
Options: a ) 347.4 , b ) 987.4 , c ) 877.4 , d ) 637.4 , e ) 667.4
Answer: c
Input: Problem: a number when divided by a certain divisor left remainder 251 , when twice the number was divided by the same divisor , the remainder was 112 . find the divisor ? 
Options: a ) 370 , b ) 365 , c ) 390 , d ) 456 , e ) 460
Answer: c
Input: Problem: what is the probability of always having x + y > 0 , where y < 0 
Options: a ) 1 / 2 , b ) 1 / 8 , c ) 3 / 4 , d ) 1 / 4 , e ) none
Answer: d
Input: Problem: a prize of $ 800 is to be distributed among 20 winners , each of whom must be awarded at least $ 20 . if 2 / 5 of the prize will be distributed to 3 / 5 of the winners , what is the greatest possible individual award ? 
Options: a ) $ 200 , b ) $ 220 , c ) $ 280 , d ) $ 300 , e ) $ 340
Answer: e
Input: Problem: the population of a town increased from 1 , 75000 to 2 , 62500 in a decade . what is the average percent increase of population per year ? 
Options: a ) 4 % , b ) 6 % , c ) 5 % , d ) 50 % , e ) none of these
Answer: c
Input: Problem: if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 93 , what is the value of x ? 
Options: a ) 95 , b ) 91 , c ) 102 , d ) 101 , e ) 85
Answer: b
Input: Problem: a , b and c started a business with a total investment of rs . 72000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find b ' s share . 
Options: a ) rs . 3240 , b ) rs . 2520 , c ) rs . 2880 , d ) rs . 3360 , e ) none of these
Answer: b
Input: Problem: what is the leastvalue of x . so that 45 x 09 is divisible by 3 ? 
Options: a ) 0 , b ) 5 , c ) 2 , d ) 6 , e ) 7
Answer: a
Input: Problem: what is the sum of all 3 digit nos formed by { 1 , 3,5 , 7,9 } with nos not repeated 
Options: a ) 33300 , b ) 34500 , c ) 38500 , d ) 39800 , e ) 45200
Answer: a
Input: Problem: how many positive integers less than 10,000 are such that the product of their digits is 210 ? 
Options: a ) 24 , b ) 30 , c ) 48 , d ) 54 , e ) 72
Answer: d
Input: Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 32 , then how old is b ? 
Options: a ) 17 years , b ) 19 years , c ) 29 years , d ) 10 years , e ) 12 years
Answer: e
Input: Problem: john want to buy a $ 100 trouser at the store , but he think it ’ s too expensive . finally , it goes on sale for $ 50 . what is the percent decrease ? 
Options: a ) 20 % , b ) 30 % , c ) 50 % , d ) 70 % , e ) 80 %
Answer: c
Input: Problem: two numbers a and b are such that the sum of 5 % of a and 3 % of b is two - third of the sum of 6 % of a and 8 % of b . find the ratio of a : b . 
Options: a ) 2 : 1 , b ) 1 : 2 , c ) 7 : 3 , d ) 1 : 1 , e ) 3 : 2
Answer: c
Input: Problem: find out the c . i on rs . 6000 at 4 % p . a . compound half - yearly for 1 1 / 2 years 
Options: a ) 367.25 , b ) 306.07 , c ) 306.04 , d ) 306.03 , e ) 306.01
Answer: a
Input: Problem: if a and b are the two values of t that satisfy the equation t ^ 2 â € “ 12 t + 20 = 0 , with a > b , what is the value of a â € “ b ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Answer: d
Input: Problem: 0.0015 ÷ ? = 0.003 
Options: a ) 0.05 , b ) 0.005 , c ) 0.5 , d ) 5 , e ) 50
Answer: c
Input: Problem: if the remainder is 12 when the integer n is divided by 22 , what is the remainder when 2 n is divided by 11 ? 
Options: a ) 0 , b ) 2 , c ) 3 , d ) 6 , e ) 7
Answer: b
Input: Problem: the ratio of two no . addition and subtraction be 4 : 3 . the what is the ratio of numbers ? 
Options: a ) 3 : 2 , b ) 4 : 3 , c ) 5 : 1 , d ) 6 : 5 , e ) 7 : 1
Answer: e
Input: Problem: farm tax is levied on the 50 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . william . mr . william paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is : 
Options: a ) 15 % , b ) 25 % , c ) 0.125 % , d ) 0.2083 % , e ) none
Answer: b
Input: Problem: the cost of a one - family home was $ 120,000 in 1980 . in 1988 , the price had increased to $ 192,000 . what was the percent increase in the cost of the home ? 
Options: a ) 60 % , b ) 50 % , c ) 55 % , d ) 40 % , e ) 33.3 %
Answer: a
Input: Problem: arnold and danny are two twin brothers that are celebrating their birthday . the product of their ages today is smaller by 9 from the product of their ages a year from today . what is their age today ? 
Options: a ) 2 . , b ) 4 . , c ) 5 . , d ) 7 , e ) 9 .
Answer: b
Input: Problem: a man performs 3 / 5 of the total journey by rail , 17 / 20 by bus and the remaining 6.5 km on foot . his total journey is 
Options: a ) 65 km , b ) 100 km , c ) 120 km , d ) 130 km , e ) 140 km
Answer: d
Input: Problem: a person saved $ 10 in buying an item on sale . if he spent $ 500 for the item , approximately how much percent he saved in the transaction ? 
Options: a ) 8 % , b ) 10 % , c ) 2 % , d ) 5 % , e ) 6 %
Answer: c
Input: Problem: if | 20 x - 10 | = 90 , then find the product of the values of x ? 
Options: a ) - 45 , b ) 50 , c ) - 62 , d ) 35 , e ) - 20
Answer: e
Input: Problem: the cash realised on selling a 14 % stock is rs . 108.25 , brokerage being 1 / 4 % is 
Options: a ) 123 , b ) 106 , c ) 108 , d ) 156 , e ) 240
Answer: c
Input: Problem: if the number is divided by 3 , it reduced by 24 . the number is 
Options: a ) a ) 51 , b ) b ) 50 , c ) c ) 45 , d ) d ) 40 , e ) e ) 36
Answer: e
Input: Problem: it takes 3 workers a total of 15 hours to build a giant machine with each worker working at the same rate . if 5 workers start to build the machine at 11 : 00 am , and one extra worker per hour is added beginning at 1 : 00 pm , at what time will the machine be complete ? 
Options: a ) 4 : 30 , b ) 4 : 45 , c ) 5 : 00 , d ) 5 : 15 , e ) 5 : 30
Answer: e
Input: Problem: a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 20 days and completed the construction in stipulated time . if he had not employed the additional men , how many days behind schedule would it have been finished ? 
Options: a ) 40 , b ) 80 , c ) 70 , d ) 60 , e ) 50
Answer: b
Input: Problem: total 30 cows 10 cow gives each 2 liter milk 10 cow gives each 3 / 4 liter milk 10 cow gives each 1 / 4 liter milk this is split into 3 son per each 10 cows & 10 liter milk how ? 
Options: a ) 10 , b ) 12 , c ) 15 , d ) 16 , e ) 18
Answer: a
Input: Problem: if the range w of the 6 numbers 4 , 314 , 710 and x is 12 , what is the difference between the greatest possible value of x and least possible value of x ? 
Options: a ) 0 , b ) 2 , c ) 12 , d ) 13 , e ) 15
Answer: d
Input: Problem: when n divided by 3 , the remainder is 2 . when n divided by 4 , the remainder is 1 what is the the remainder when divided by 16 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 2
Answer: a
Input: Problem: simplify : 896 x 896 - 204 x 204 
Options: a ) 761200 , b ) 761400 , c ) 761800 , d ) 761500 , e ) none of them
Answer: a
Input: Problem: if 9 a - b = 10 b + 65 = - 12 b - 2 a , what is the value of 11 a + 11 b ? 
Options: a ) - 11 , b ) - 5 , c ) 0 , d ) 5 , e ) 11
Answer: c
Input: Problem: the difference between the place values of 6 and 1 in the number 527631 is 
Options: a ) 596 , b ) 587 , c ) 533 , d ) 568 , e ) 599
Answer: e
Input: Problem: ashok secured average of 80 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? 
Options: a ) 38 , b ) 27 , c ) 99 , d ) 110 , e ) 80
Answer: d
Input: Problem: find two integers , neither of which ends in a zero , and whose product is exactly 00000 
Options: a ) 64 and 15,625 , b ) 32 and 3,125 , c ) 64 and 15,620 , d ) 64 and 15,635 , e ) 64 and 16,625
Answer: b
Input: Problem: the difference between a number and its three - fifth is 50 . what is the number ? 
Options: a ) 185 , b ) 190 , c ) 160 , d ) 120 , e ) 125
Answer: e
Input: Problem: if | y + 5 | = 8 , what is the sum of all the possible values of y ? 
Options: a ) - 14 , b ) - 13 , c ) - 8 , d ) - 12 , e ) - 10
Answer: e
Input: Problem: jim needs $ 1000 to buy a new flat - screen tv . since he has only $ 7 , he borrows the remaining balance from his sister mary . the loan will be repaid in 3 annual installments at an interest rate of 10 % , compounded annually . the formula for calculating the monthly payment p is p = ( l x c x r ) / ( c – 1 ) where l = amount of the loan , r = annual interest rate , and c = compounding factor = ( 1 + r ) ^ n where n = number of annual payments . how much does jim have to pay mary at the end of each of the next 3 years ( rounded to the nearest penny ) ? 
Options: a ) $ 357.67 , b ) $ 375.85 , c ) $ 387.40 , d ) $ 399.30 , e ) $ 433.33
Answer: d
Input: Problem: 60 persons like apple . 7 like orange and mango dislike apple . 10 like mango and apple and dislike orange . 4 like all . how many people like apple ? 
Options: a ) 47 , b ) 46 , c ) 54 , d ) 58 , e ) 67
Answer: e
Input: Problem: a city with a population of 173,460 is to be divided into 9 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 ) 17,400 , b ) 17,500 , c ) 17,600 , d ) 17,700 , e ) 17,800
Answer: d
Input: Problem: the average age of applicants for a new job is 31 , with a standard deviation of 5 . the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age . what is the maximum number of different ages of the applicants ? 
Options: a ) 11 , b ) 14 , c ) 15 , d ) 18 , e ) 30
Answer: a
Input: Problem: weights of two friends ram and shyam are in the ratio of 4 : 5 . ram ’ s weight increases by 10 % and the total weight of ram and shyam together becomes 82.8 kg , with an increase of 15 % . by what per cent did the weight of shyam increase ? 
Options: a ) 12.5 % , b ) 17.5 % , c ) 19 % , d ) 21 % , e ) none of these
Answer: c
Input: Problem: 4 , 6 , 12 , 14 , 28 , 30 , . . ? 
Options: a ) 20 , b ) 40 , c ) no = 60 , d ) 80 , e ) 100
Answer: c
Input: Problem: a cube with its sides numbered 1 through 6 is rolled twice , first landing on a and then landing on b . if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6 , what is the probability r that a + b is prime ? 
Options: a ) 0 , b ) 1 / 12 , c ) 5 / 12 , d ) 7 / 18 , e ) 4 / 9
Answer: c
Input: Problem: how many positive integers less than 70 have a reminder 01 when divided by 3 ? 
Options: a ) 13 , b ) 24 , c ) 35 , d ) 16 , e ) 17
Answer: b
Input: Problem: one ton has 2100 pounds , and one pound has 16 ounces . how many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons ? 
Options: a ) 1680 , b ) 1700 , c ) 2350 , d ) 2500 , e ) 8000
Answer: a
Input: Problem: the standard deviation of a normal distribution of data is 2 , and 3 standard deviations below the mean is greater than 48 . what is a possible value for the mean of the distribution ? 
Options: a ) 46 , b ) 47 , c ) 48 , d ) 55 , e ) 50
Answer: d
Input: Problem: the maximum numbers of students among them 451 pens and 410 toys can be distributed in such a way that each student gets the same number of pens and same number of toys is 
Options: a ) 41 , b ) 910 , c ) 1001 , d ) 1911 , e ) none
Answer: a
Input: Problem: running at their respective constant rate , machine x takes 2 days longer to produce w widgets than machines y . at these rates , if the two machines together produce 5 w / 4 widgets in 3 days , how many days would it take machine x alone to produce 4 w widgets . 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 24
Answer: e
Input: Problem: find the largest number of 4 digits which is exactly divisible by 2718 , 1615 
Options: a ) 8600 , b ) 8610 , c ) 8620 , d ) 8630 , e ) 8640
Answer: e
Input: Problem: if x and y are positive integers , and y = x ^ 2 + 8 , the greatest common divisor of a and b can not be 
Options: a ) 9 , b ) 1 , c ) 2 , d ) 4 , e ) 8
Answer: a
Input: Problem: if a * b denotes the greatest common divisor of a and b , then ( ( 12 * 16 ) * ( 18 * 12 ) ) = ? 
Options: a ) 24 , b ) 12 , c ) 6 , d ) 4 , e ) 2
Answer: e
Input: Problem: if the sum of two positive integers is 12 and the difference of their squares is 48 , what is the product of the two integers ? 
Options: a ) 32 , b ) 119 , c ) 128 , d ) 135 , e ) 143
Answer: a
Input: Problem: john has 10 pairs of matched socks . if he loses 3 individual socks , what is the greatest number of pairs of matched socks he can have left ? 
Options: a ) 7 , b ) 8 , c ) 5 , d ) 4 , e ) 3
Answer: b
Input: Problem: how many integers are divisible by 3 between 10 ! and 10 ! + 40 inclusive ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 13 , e ) 10
Answer: d
Input: Problem: what is the least number to be added to 1480 to make it a perfect square ? 
Options: a ) 105 , b ) 160 , c ) 200 , d ) 71 , e ) 120
Answer: e
Input: Problem: the population of a bacteria culture doubles every 6 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 54 , e ) 18
Answer: d
Input: Problem: the average weight of 16 boys in a class is 50.25 kgs and that of the remaining 8 boys is 45.15 kgs . find the average weight of all the boys in the class . 
Options: a ) 47.55 kgs , b ) 48 kgs , c ) 48.55 kgs , d ) 49.25 kgs , e ) none of these
Answer: c
Input: Problem: two trains of equal are running on parallel lines in the same direction at 49 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ? 
Options: a ) 50 , b ) 88 , c ) 65 , d ) 55 , e ) 22
Answer: c
Input: Problem: in a party every person shakes hands with every other person . if there were a total of 171 handshakes in the party then what is the number of persons present in the party ? 
Options: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19
Answer: e
Input: Problem: an army ’ s recruitment process included n rounds of selection tasks . for the first a rounds , the rejection percentage was 60 percent per round . for the next b rounds , the rejection percentage was 50 percent per round and for the remaining rounds , the selection percentage was 70 percent per round . if there were 10000 people who applied for the army and 350 were finally selected , what was the value of n ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 9 , e ) 8
Answer: d
Input: Problem: john purchased 1300 large bottles at $ 1.89 per bottle and 750 small bottles at $ 1.38 per bottle . what was the approximate average price paid per bottle ? 
Options: a ) $ 1.63 , b ) $ 1.64 , c ) $ 1.68 , d ) $ 1.70 , e ) $ 1.76
Answer: d
Input: Problem: a man is 26 years older than his son . in two years , his age will be twice the age of his son . what is the present age of his son ? 
Options: a ) 23 years , b ) 22 years , c ) 24 years , d ) 20 years , e ) 19 years
Answer: c
Input: Problem: the average of first four multiples of 4 is : 
Options: a ) 3 , b ) 9 , c ) 10 , d ) 15 , e ) 17
Answer: c
Input: Problem: find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 10 as remainder 
Options: a ) 1235 , b ) 1456 , c ) 1567 , d ) 1636 , e ) 1635
Answer: d
Input: Problem: a certain basketball team that has played 2 / 3 of its games has a record of 18 wins and 2 losses . what is the greatest number of the remaining games that the team can lose and still win at least 3 / 4 of all of its games ? 
Options: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3
Answer: c
Input: Problem: a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 8 per item . if the manufacturer ’ s selling price per item is $ 12 , how many items the manufacturer produce and sell to earn an annual profit of $ 140,000 ? 
Options: a ) 2,858 , b ) 8,667 , c ) 21,429 , d ) 35,000 , e ) 67,500
Answer: e
Input: Problem: a man is 28 years older than his son . in four years , his age will be twice the age of his son . the present age of this son is 
Options: a ) 21 years , b ) 22 years , c ) 23 years , d ) 24 years , e ) 25 years
Answer: d
Input: Problem: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 57.76 , the number of the member is the group is : 
Options: a ) 57 , b ) 76 , c ) 77 , d ) 87 , e ) 97
Answer: b
Input: Problem: ashok secured average of 74 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? 
Options: a ) 66 , b ) 74 , c ) 78 , d ) 80 , e ) none of these
Answer: b
Input: Problem: if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units x digit of ( a + 2 ) ^ 2 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 6 , e ) c . 14
Answer: a
Input: Problem: a number when divided by 779 gives a remainder 47 . by dividing the same number by 19 , what would be the remainder ? 
Options: a ) 9 , b ) 8 , c ) 7 , d ) 6 , e ) 5
Answer: a
Input: Problem: what are the last two digits of ( 301 * 402 * 503 * 604 * 646 * 547 * 449 * 349 ) ^ 2 
Options: a ) 96 , b ) 76 , c ) 56 , d ) 36 , e ) 24
Answer: e
Input: Problem: if the average ( arithmetic mean ) of 4 x - 5 , 8 x - 6 , and 9 x + 5 is 279 , what is the value of x ? 
Options: a ) 18 , b ) 25 , c ) 27 , d ) 29 , e ) 31
Answer: c
Input: Problem: 10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 170000 , find the cost of a camel ? 
Options: a ) rs . 9800 , b ) rs . 3800 , c ) rs . 9800 , d ) rs . 6800 , e ) rs . 6880
Answer: d
Input: Problem: in an office , totally there are 2800 employees and 25 % of the total employees are males . 30 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ? 
Options: a ) 390 , b ) 490 , c ) 400 , d ) 460 , e ) none of these
Answer: b
Input: Problem: if 45 - [ 28 - { 37 - ( 15 - * ) } ] = 59 , then * is equal to : 
Options: a ) - 29 , b ) - 19 , c ) 20 , d ) 29 , e ) 39
Answer: c
Input: Problem: each machine of type a has 2 steel parts and 2 chrome parts . each machine of type b has 6 steel parts and 5 chrome parts . if a certain group of type a and type b machines has a total of 20 steel parts and 22 chrome parts , how many machines are in the group 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 7
Answer: e
Input: Problem: if 100 < x < 199 and 20 < y < 100 , then the product xy can not be equal to : 
Options: a ) 1900 , b ) 19,303 , c ) 19 , 356.732 , d ) 19,502 , e ) 19,909
Answer: a
Input: Problem: if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 5 ) , what is the value of x ? 
Options: a ) 7 , b ) 11 , c ) 13 , d ) 15 , e ) 17
Answer: a
Input: Problem: the product of two numbers is 168 and the sum of their squares is 289 . the sum of the number is ? 
Options: a ) a ) 23 , b ) b ) 25 , c ) c ) 27 , d ) d ) 31 , e ) e ) 35
Answer: b
Input: Problem: what is the units digit of ( 5 ! * 4 ! + 6 ! * 5 ! ) / 2 ? 
Options: a ) 4 , b ) 3 , c ) 0 , d ) 1 , e ) 2
Answer: c
Input: Problem: in a group of 130 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ? 
Options: a ) 0.31 , b ) 0.55 , c ) 0.65 , d ) 0.75 , e ) 0.85
Answer: a
Input: Problem: a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 50 , how many horses are there ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Answer: a
Input: Problem: the average mark of the students of a class in a particular exam is 65 . if 5 students whose average mark in that exam is 20 are excluded , the average mark of the remaining will be 90 . find the number of students who wrote the exam . 
Options: a ) 14 , b ) 25 , c ) 35 , d ) 45 , e ) 55
Answer: a
Input: Problem: the closest approximation of w ( 69.28 × 0.004 ) / 0.03 is 
Options: a ) 0.092 , b ) 0.92 , c ) 9.2 , d ) 92 , e ) 920
Answer: c
Input: Problem: if two positive numbers are in the ratio 1 / 8 : 1 / 5 , then by what percent is the second number more than the first ? 
Options: a ) 70 % , b ) 90 % , c ) 60 % , d ) 50 % , e ) 65 %
Answer: c
Input: Problem: a number of 53 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: e
Input: Problem: the 3 digits of a number add up to 11 . the number is divisible by 5 . the leftmost digit is double the middle digit . what is the product of the 3 digits ? 
Options: a ) 38 , b ) 40 , c ) 78 , d ) 88 , e ) 125
Answer: b
Input: Problem: a batsman makes a score of 50 runs in the 17 th inning and thus increases his averages by 2 . what is his average after 17 th inning ? 
Options: a ) 39 , b ) 18 , c ) 42 , d ) 40.5 , e ) 41.5
Answer: b
Input: Problem: employees of a certain company are each to receive a unique 8 - digit identification code consisting of the digits 0 , 1 , 2 , 3 , 4 , 5 , 6 , and 7 such that no digit is used more than once in any given code . in valid codes , the second digit in the code is exactly twice the first digit . how many valid codes are there ? 
Options: a ) 1220 , b ) 1840 , c ) 2160 , d ) 2480 , e ) 2760
Answer: c
Input: Problem: a , b , c subscribe rs . 50,000 for a business . if a subscribes rs . 4000 more than b and b rs . 5000 more than c , out of a total profit of rs . 37,000 , what will be the amount a receives ? 
Options: a ) 14700 , b ) 14500 , c ) 14900 , d ) 14300 , e ) 15540
Answer: e
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 10 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 ) 55 , e ) none of these
Answer: d
Input: Problem: a store reported total sales of $ 460 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase in sales ? 
Options: a ) 2 % , b ) 17 % , c ) 44 % , d ) 65 % , e ) 83 %
Answer: c
Input: Problem: niharika covers a distance in 30 min , if she drives at a speed of 60 km / h on an average . find the speed at which she must drive at to reduce the time of the journey by 30 % . 
Options: a ) 84.71 kmph . , b ) 85.74 kmph . , c ) 83.71 kmph . , d ) 85.71 kmph . , e ) 84.71 kmph .
Answer: d
Input: Problem: of all the students in a certain dormitory , 1 / 2 are first - year students and the rest are second - year students . if 4 / 5 of the first - year students have not declared a major and if the fraction of second - year students who have declared a major is 4 times the fraction of first - year students who have declared a major , what fraction of all the students in the dormitory are second - year students who have not declared a major ? 
Options: a ) 1 / 15 , b ) 4 / 5 , c ) 4 / 15 , d ) 1 / 5 , e ) 2 / 5
Answer: d
Input: Problem: the second of two numbers is two less than 3 times the first . find the numbers if there sum is 82 . 
Options: a ) 7 - 19 , b ) 8 - 20 , c ) 10 - 16 , d ) 15 - 9 , e ) 21 - 61
Answer: e
Input: Problem: if p / q = 4 / 5 , then the value of 6 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is ? 
Options: a ) 3 / 7 , b ) 34 , c ) 10 / 7 , d ) 2 , e ) 3
Answer: c
Input: Problem: 1.20 can be expressed in terms of percentage as 
Options: a ) 120 % , b ) 0.120 % , c ) 1.20 % , d ) 0.209 % , e ) none of these
Answer: a
Input: Problem: a man is 26 years older than his studen . in two years , his age will be twice the age of his student . the present age of his student is : 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Answer: e
Input: Problem: if @ is a binary operation defined as the difference between an integer n and the product of n and 5 , then what is the largest positive integer n such that the outcome of the binary operation of n is less than 21 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: e
Input: Problem: in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 70 % of the total ? 
Options: a ) 515 . , b ) 545 . , c ) 618 . , d ) 644 . , e ) 736 .
Answer: e