Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds b in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ? 
Options: a ) 25 % , b ) 35 % , c ) 45 % , d ) 70 % , e ) 80 %
Answer: b
Input: Problem: out of 3 consecutive odd numbers 8 times the first number is equal to addition of thrice the third number and adding 5 to twice the second . what is the first number ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: c
Input: Problem: find the 12 th term of an arithmetic progression whose first term is 2 and the common difference is 8 . 
Options: a ) 45 , b ) 38 , c ) 44 , d ) 90 , e ) 96
Answer: d
Input: Problem: a man has some hens and cows . if the number of heads be 48 and the number of feet equals 140 , then the number of hens will be : 
Options: a ) 43 , b ) 26 , c ) 33 , d ) 21 , e ) 28
Answer: b
Input: Problem: the salary of a , b , c , d , e is rs . 8000 , rs . 5000 , rs . 14000 , rs . 7000 , rs . 9000 per month respectively , then the average salary of a , b , c , d , and e per month is 
Options: a ) rs . 7000 , b ) rs . 8000 , c ) rs . 8600 , d ) rs . 9000 , e ) none
Answer: c
Input: Problem: ajay and vijay have some marbles with them . ajay told vijay ` ` if you give me ' x ' marbles , both of us will have equal number of marbles ' ' . vijay then told ajay ` ` if you give me twice as many marbles , i will have 30 more marbles than you would ' ' . find ' x ' ? 
Options: a ) 7 , b ) 5 , c ) 6 , d ) 4 , e ) 3
Answer: b
Input: Problem: the average runs scored by a batsman in 20 matches is 30 . in the next 10 matches the batsman scored an average of 15 runs . find his average in all the 30 matches ? 
Options: a ) 25 , b ) 46 , c ) 88 , d ) 13 , e ) 12
Answer: a
Input: Problem: the average age of a family of 6 members is 22 years . if the age of the youngest member is 7 years , what was the average age of the family at the birth of the youngest member ? 
Options: a ) 15 , b ) 18 , c ) 21 , d ) 12 , e ) 19
Answer: a
Input: Problem: if w is the product of the integers from 1 to 30 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of w ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Answer: c
Input: Problem: what is the sum of the multiples of 4 between 13 and 125 inclusive ? 
Options: a ) 1,890 , b ) 1,960 , c ) 2,200 , d ) 3,780 , e ) 4,400
Answer: b
Input: Problem: the product of two numbers is 220 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: c
Input: Problem: shekar scored 76 , 65 , 82 , 67 and 85 marks in mathematics , science , social studies , english and biology respectively . what are his average marks ? 
Options: a ) 65 , b ) 69 , c ) 75 , d ) 85 , e ) 90
Answer: c
Input: Problem: nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw . if the total weight of one screw and one nail is half that of 6 screws and one nail , then the total weight of 3 screws , and 3 nails is how many times that of 5 screws and 1 nails ? 
Options: a ) a . 4 , b ) b . 5 / 2 , c ) c . 2 , d ) d . 3 / 2 , e ) e . 5 / 4
Answer: d
Input: Problem: the sum of all the integers s such that - 26 < s < 24 is 
Options: a ) 0 , b ) - 2 , c ) - 25 , d ) - 49 , e ) - 51
Answer: d
Input: Problem: . for the fifa world cup , paul the octopus has been predicting the winner of each match with amazing success . it is rumored that in a match between 2 teams a and b , paul picks a with the same probability as a ’ s chances of winning . let ’ s assume such rumors to be true and that in a match between ghana and bolivia ; ghana the stronger team has a probability of 2 / 3 of winning the game . what is the probability that paul will correctly pick the winner of the ghana - bolivia game ? 
Options: a ) 59 , b ) 88 , c ) 77 , d ) 26 , e ) 18
Answer: a
Input: Problem: 25.25 / 2000 is equal to : 
Options: a ) 1.012526 , b ) 0.012625 , c ) 0.12526 , d ) 0.12625 , e ) 0.12725
Answer: b
Input: Problem: the average salary per head of the entire staff of an office including the officers and clerks is rs . 90 . the average salary of officers is rs . 600 and that of the clerks is rs . 84 . if the number of officers is 2 , find the number of officers in the office ? 
Options: a ) 1 , b ) 8 , c ) 7 , d ) 6 , e ) 2
Answer: a
Input: Problem: if a = 1 , what is the value of – ( a ^ 2 + a ^ 3 + a ^ 4 + a ^ 5 ) ? 
Options: a ) - 14 , b ) - 4 , c ) 0 , d ) 4 , e ) 14
Answer: b
Input: Problem: what is the least integer greater than – 4 + 0.5 ? 
Options: a ) – 3 , b ) – 1 , c ) 0 , d ) 1 , e ) 2
Answer: a
Input: Problem: how many different values of positive integer x , for which | x + 9 | < x , are there ? 
Options: a ) 0 , b ) 2 , c ) 3 , d ) 8 , e ) 16
Answer: c
Input: Problem: a drink vendor has 50 liters of maaza , 144 liters of pepsi and 368 liters of sprite . he wants to pack them in cans , so that each can contains the same number of liters of a drink , and does n ' t want to mix any two drinks in a can . what is the least number of cans required ? 
Options: a ) 135 , b ) 237 , c ) 281 , d ) 300 , e ) 380
Answer: c
Input: Problem: two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 36.00001 sec . the length of each train is ? 
Options: a ) 50 , b ) 99 , c ) 77 , d ) 26 , e ) 23
Answer: a
Input: Problem: 9 people are planning to share equally the cost of a rental van . if one person withdraws from the arrangement and the others share equally the cost of the rental van , then the share of each of the remaining people will increase by . . . ? 
Options: a ) 1 / 9 , b ) 1 / 8 , c ) 1 / 7 , d ) 7 / 8 , e ) 8 / 7
Answer: b
Input: Problem: in one year , the population , of a village increased by 20 % and in the next year , it decreased by 20 % . if at the end of 2 nd year , the population was 9600 , what was it in the beginning ? 
Options: a ) 10000 , b ) 8000 , c ) 1988 , d ) 1277 , e ) 2081
Answer: a
Input: Problem: if x is a positive number and 5 the square root of x is equal to x / 25 , then x = 
Options: a ) 10 , b ) 25 , c ) 5 , d ) 2 , e ) 1
Answer: b
Input: Problem: zachary is helping his younger brother , sterling , learn his multiplication tables . for every question that sterling answers correctly , zachary gives him 3 pieces of candy . for every question that sterling answers incorrectly , zachary takes away two pieces of candy . after 14 questions , if sterling had answered 2 more questions correctly , he would have earned 31 pieces of candy . how many of the 14 questions did zachary answer correctly ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: e
Input: Problem: pat , kate and mark charged a total of 189 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 ) 72 , d ) 90 , e ) 105
Answer: e
Input: Problem: an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 1200 sculptures are not on display , how many pieces of art does the gallery have ? 
Options: a ) 360 , b ) 2700 , c ) 540 , d ) 640 , e ) 720
Answer: b
Input: Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 205 ? 
Options: a ) 1,108 , b ) 2,100 , c ) 2,140 , d ) 2,124 , e ) 2,256
Answer: c
Input: Problem: for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.25 – 6.25 * ? 
Options: a ) 1.5 , b ) 0.5 , c ) 6.25 , d ) 0.25 , e ) 6.0
Answer: d
Input: Problem: an employee ’ s annual salary was increased $ 25,000 . if her new annual salary now equals $ 90,000 , what was the percent increase ? 
Options: a ) 15 % , b ) 162 ⁄ 3 % , c ) 20 % , d ) 38.46 % , e ) 24 %
Answer: d
Input: Problem: a team of 8 persons joins in a shooting competition . the best marksman scored 85 points . if he had scored 92 points , the average score for the team would have been 84 . the number of points , the team scored was 
Options: a ) 665 , b ) 127 , c ) 272 , d ) 287 , e ) 227
Answer: a
Input: Problem: | 16 - 5 | - | 5 - 12 | = ? 
Options: a ) 3 , b ) 2 , c ) 1 , d ) 0 , e ) 4
Answer: e
Input: Problem: find out the c . i on rs . 5000 at 4 % p . a . compound half - yearly for 1 1 / 2 years 
Options: a ) 306.09 , b ) 306.07 , c ) 306.04 , d ) 306.03 , e ) 306.01
Answer: c
Input: Problem: if x and y are integers such that x ^ 2 = y and xy = 27 , then x – y = ? 
Options: a ) - 30 , b ) - 20 , c ) - 6 , d ) 5 , e ) 20
Answer: c
Input: Problem: if 6 x = 8 y = 10 z , then what is a possible sum of positive integers x , y , and z ? 
Options: a ) 52 , b ) 58 , c ) 84 , d ) 94 , e ) 168
Answer: d
Input: Problem: in n is a positive integer less than 200 , and 18 n / 60 is an integer , then n has how many different positive prime factors ? 
Options: a ) 2 , b ) 3 , c ) 5 , d ) 6 , e ) 8
Answer: a
Input: Problem: what is value of x if 32 - y = 16 x - y ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 2 , e ) 6
Answer: d
Input: Problem: the total price of a basic computer and printer are $ 2,500 . if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer , then the price of the printer would have been 1 / 3 of that total . what was the price of the basic computer ? 
Options: a ) 1500 , b ) 1600 , c ) 1750 , d ) 1900 , e ) 2000
Answer: a
Input: Problem: if henry were to add 7 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ? 
Options: a ) 25 , b ) 40 , c ) 64 , d ) 80 , e ) 56
Answer: e
Input: Problem: a man engaged a servant on the condition that he would pay him rs . 800 and a uniform after one year service . he served only for 9 months and received uniform and rs . 400 , find the price of the uniform ? 
Options: a ) s . 800 , b ) s . 85 , c ) s . 90 , d ) s . 100 , e ) s . 120
Answer: a
Input: Problem: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 12 , 30 , and 40 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ? 
Options: a ) 4 / 11 , b ) 1 / 2 , c ) 15 / 22 , d ) 120 / 7 , e ) 11 / 4
Answer: d
Input: Problem: how much is 35 % of 40 is greater than 4 / 5 of 25 ? 
Options: a ) 29 , b ) 776 , c ) 66 , d ) 14 , e ) 99
Answer: d
Input: Problem: - 84 * 29 + 365 = ? 
Options: a ) 2436 , b ) 2801 , c ) - 2801 , d ) - 2071 , e ) none of these
Answer: d
Input: Problem: in a urban village of india named ` ` owlna ' ' , 90 % people have refrigerator , 86 % people have television , 80 % people got computers and 80 % got air - conditionor . how many people ( minimum ) got all these luxury . 
Options: a ) 23 % , b ) 36 % , c ) 30 % , d ) 34 % , e ) 42 %
Answer: b
Input: Problem: 18 men shake hands with each other . maximum no of handshakes without cyclic handshakes . 
Options: a ) 190 , b ) 153 , c ) 210 , d ) 220 , e ) 230
Answer: b
Input: Problem: one week , a certain truck rental lot had a total of 18 trucks , all of which were on the lot monday morning . if 50 % of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week , and if there were at least 12 trucks on the lot that saturday morning , what is the greatest number of different trucks that could have been rented out during the week ? 
Options: a ) 18 , b ) 16 , c ) 12 , d ) 8 , e ) 4
Answer: c
Input: Problem: in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.36 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ] 
Options: a ) 0.33 , b ) 0.44 , c ) 0.48 , d ) 44 , e ) 48
Answer: e
Input: Problem: subash can copy 50 pages in 10 hrs . subash and prakash together can copy 300 pages in 40 hours . in how much time prakash can copy 15 pages . 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 6
Answer: e
Input: Problem: jill has 35 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ? 
Options: a ) 3 , b ) 60 , c ) 9 , d ) 12 , e ) 14
Answer: b
Input: Problem: the jogging track in a sports complex is 726 m in circumference . suresh and his wife start from the same point and walk in opposite direction at 4.5 km / hr and 3.75 km / hr respectively . they will meet for the first time in : 
Options: a ) 5.5 min . , b ) 6 min . , c ) 4.9 min . , d ) 5.28 min . , e ) 5 min .
Answer: d
Input: Problem: the average of first 20 even numbers is ? 
Options: a ) 19 , b ) 18 , c ) 16 , d ) 11 , e ) 21
Answer: e
Input: Problem: teacher took exam for english , average for the entire class was 80 marks . if we say that 10 % of the students scored 95 marks and 20 % scored 90 marks then calcualte average marks of the remaining students of the class . 
Options: a ) 60 , b ) 70 , c ) 65 , d ) 75 , e ) 80
Answer: d
Input: Problem: a car travels from point a to point b . the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 45 km / hr . what is the speed of the car in the second half of the trip ? 
Options: a ) 75 , b ) 80 , c ) 90 , d ) 95 , e ) 100
Answer: c
Input: Problem: a box contains 14 pairs of shoes ( 28 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ? 
Options: a ) 1 / 190 , b ) 1 / 20 , c ) 1 / 19 , d ) 1 / 27 , e ) 1 / 9
Answer: d
Input: Problem: there are 69 people that own pets . 15 people own only dogs , 10 people own only cats , 5 people own only cats and dogs , 3 people own cats , dogs and snakes . how many total snakes are there ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 39 , e ) 32
Answer: d
Input: Problem: one - sixth of the light switches produced by a certain factory are defective . 4 - fifths of the defective switches are rejected and 1 / 15 of the non defective switches are rejected by mistake . if all the switches not rejected are sold , what percent of the switches sold by the factory are defective ? 
Options: a ) 1.8 % , b ) 2.9 % , c ) 4.1 % , d ) 5.6 % , e ) 6.4 %
Answer: c
Input: Problem: when 2 / 9 of the votes on a certain resolution have been counted , 3 / 4 of those counted are in favor of the resolution . what fraction w of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution ? 
Options: a ) 11 / 14 , b ) 13 / 18 , c ) 4 / 7 , d ) 3 / 7 , e ) 3 / 14
Answer: a
Input: Problem: balls of equal size are arranged in rows to form an equilateral triangle . the top most row consists of one ball , the 2 nd row of two balls and so on . if 19 balls are added , then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did . how many balls made up the triangle ? 
Options: a ) 465 , b ) 2209 , c ) 2878 , d ) 1210 , e ) 1560
Answer: a
Input: Problem: a sum of money lent out at s . i . amounts to rs . 710 after 2 years and to rs . 1020 after a further period of 5 years . the sum is ? 
Options: a ) s . 440 , b ) s . 586 , c ) s . 540 , d ) s . 740 , e ) s . 840
Answer: b
Input: Problem: a man has some hens and cows . if the number of heads be 50 and the number of feet equals 160 , then the number of hens will be : 
Options: a ) 22 , b ) 23 , c ) 24 , d ) 20 , e ) 28
Answer: d
Input: Problem: average between two sets of numbers is closer to the set with morenumbers ? 
Options: a ) 70 , b ) 80 , c ) 85 , d ) 90 , e ) 95
Answer: b
Input: Problem: the sum of digits of a two digit number is 13 , the difference between the digits is 5 . find the number 
Options: a ) 85 , b ) 94 , c ) 83 , d ) 72 , e ) none
Answer: b
Input: Problem: in a rectangular coordinate system , if a line passes through the points ( - 15 , - 18 ) , ( 1522 ) and ( x , 2 ) then what is the value of x ? 
Options: a ) - 2 , b ) - 1 , c ) 0 , d ) 1 , e ) 2
Answer: c
Input: Problem: 150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution . find the approximate concentration e of the acid in the mixture ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 6 , e ) 1 / 5
Answer: d
Input: Problem: if x ^ 2 + y ^ 2 = 15 and xy = 3 , then ( x − y ) ^ 2 = 
Options: a ) 8 , b ) 9 , c ) 14 , d ) 17 , e ) 20
Answer: b
Input: Problem: a certain city with a population of 72,000 is to be divided into 11 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 ) a ) 6,000 , b ) b ) 10,800 , c ) c ) 10,900 , d ) d ) 11,000 , e ) e ) 11,100
Answer: a
Input: Problem: a batsman makes a score of 66 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ? 
Options: a ) 25 , b ) 31 , c ) 27 , d ) 29 , e ) 18
Answer: e
Input: Problem: in a division sum , the quotient is 40 , the divisor 72 and the remainder 64 , find the dividend ? 
Options: a ) 2674 , b ) 2944 , c ) 2464 , d ) 2924 , e ) 2994
Answer: b
Input: Problem: a new home buyer pays 4 % annual interest on her first mortgage and 9 % annual interest on her second mortgage . if she borrowed a total of $ 300,000 , 80 % of which was in the first mortgage , what is her approximate monthly interest payment ? 
Options: a ) $ 1,250 , b ) $ 1,733 , c ) $ 3,466 , d ) $ 13,333 , e ) $ 20,796
Answer: a
Input: Problem: in a survey of parents , exactly 7 / 8 of the mothers and 3 / 4 of the fathers held full - time jobs . if 60 percent of the parents surveyed were women , what percent of the parents did not hold full - time jobs ? 
Options: a ) 25.5 % , b ) 21.5 % , c ) 17.5 % , d ) 13.5 % , e ) 9.5 %
Answer: c
Input: Problem: the sum of the first 40 positive even integers is 2,550 . what is the sum of the odd integers from 101 to 200 , inclusive ? 
Options: a ) 6,500 , b ) 7,500 , c ) 10,500 , d ) 15,000 , e ) 19,600
Answer: a
Input: Problem: total dinning bill of 9 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared . 
Options: a ) 21.84 , b ) 12.84 , c ) 16.98 , d ) 24.84 , e ) 15.84
Answer: c
Input: Problem: what is the tenth digit of ( 5 ! * 5 ! - 5 ! * 3 ! ) / 5 ? 
Options: a ) 1 , b ) 2 , c ) 0 , d ) 6 , e ) 7
Answer: b
Input: Problem: if it takes a tub 6 minutes to drain 5 / 7 of its content , how much more time will it take for the tub to be empty ? 
Options: a ) 48 seconds , b ) 1 minute , 12 seconds , c ) 1 minute , 50 seconds , d ) 2 minutes , 24 seconds , e ) 4 minutes , 12 seconds
Answer: d
Input: Problem: what is the units digit of the expression 14 ^ 7 − 18 ^ 4 ? 
Options: a ) 0 , b ) 3 , c ) 4 , d ) 6 , e ) 8
Answer: e
Input: Problem: 23 × 19 × ? ÷ 19 ÷ 17 = 115 
Options: a ) 65 , b ) 75 , c ) 85 , d ) 95 , e ) 45
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 , 4 ) and ( 6 , - 10 ) . what is the slope of line m ? 
Options: a ) - 3 , b ) 1 , c ) - 1 / 3 , d ) 0 , e ) undefined
Answer: b
Input: Problem: if the radius of a cylinder is doubled and height 5 times , what is the new volume of the cylinder divided by the old one ? 
Options: a ) 8 . , b ) 2 . , c ) 6 . , d ) 20 . , e ) 10 .
Answer: d
Input: Problem: 495 x 495 = ? 
Options: a ) 250000 , b ) 250025 , c ) 5000 , d ) 245025 , e ) 240000
Answer: d
Input: Problem: a batsman makes a score of 86 runs in the 17 th inning and thus increases his averages by 3 . find his average after 17 th inning ? 
Options: a ) 19 , b ) 29 , c ) 38 , d ) 49 , e ) 59
Answer: c
Input: Problem: a man has 1044 candles . after burning , he can make a new candle from 9 stubs left behind . find the maximum number of candles that can be made . 
Options: a ) 116 , b ) 120 , c ) 130 , d ) 140 , e ) none
Answer: c
Input: Problem: how many integers from 40 to 200 , inclusive , are divisible by 3 but not divisible by 7 ? 
Options: a ) 20 , b ) 31 , c ) 35 , d ) 40 , e ) 45
Answer: e
Input: Problem: on rainy mornings , mo drinks exactly n cups of hot chocolate ( assume that n is an integer ) . on mornings that are not rainy , mo drinks exactly 4 cups of tea . last week mo drank a total of 26 cups of tea and hot chocolate together . if during that week mo drank 14 more tea cups than hot chocolate cups , then how many rainy days were there last week ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: a
Input: Problem: a wholesaler wishes to sell 100 pounds of mixed nuts at $ 1.50 a pound . she mixes peanuts worth $ 1.50 a pound with cashews worth $ 4.00 a pound . how many pounds of cashews must she use ? 
Options: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60
Answer: a
Input: Problem: a man engaged a servant on the condition that he would pay him rs . 900 and a uniform after 1 year service . he served only for 9 months and receiveduniform and rs . 650 , find the priceof the uniform ? 
Options: a ) rs . 90 , b ) rs . 100 , c ) rs . 120 , d ) rs . 150 , e ) rs . 160
Answer: b
Input: Problem: the sum of the non - prime numbers between 50 and 60 , non - inclusive , is 
Options: a ) 263 , b ) 293 , c ) 323 , d ) 353 , e ) 383
Answer: e
Input: Problem: the smallest fraction , which each of 6 / 7 , 5 / 14 , 10 / 21 will divide exactly is : 
Options: a ) 30 / 7 , b ) 30 / 98 , c ) 60 / 147 , d ) 50 / 294 , e ) 52 / 294
Answer: a
Input: Problem: 12.5 * 3.2 * 8.8 = ? 
Options: a ) 352 , b ) 435 , c ) 224 , d ) 646 , e ) 742
Answer: a
Input: Problem: there are 12 students in a class . on the day the test was given , ella was absent . the other 11 students took the test and their average was 74 . the next day , ella took the test , and with this grade included , the new average was 75 . what was ella ' s grade on the test ? 
Options: a ) 82 , b ) 83 , c ) 84 , d ) 85 , e ) 86
Answer: e
Input: Problem: when 1 is added to half of one - third of one - fifth of a number , the result is one - fifteenth of the number . find the number ? 
Options: a ) 30 , b ) 81 , c ) 60 , d ) 27 , e ) 11
Answer: a
Input: Problem: 0.0006688 / 0.0000120 x 17.05 = ? 
Options: a ) 450.1 , b ) 910.1 , c ) 930.1 , d ) 920.1 , e ) 950.1
Answer: e
Input: Problem: what is the sum of all digits for the number 10 ^ 29 - 41 ? 
Options: a ) 257 , b ) 242 , c ) 231 , d ) 202 , e ) 187
Answer: a
Input: Problem: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 2 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 ) 22 years , c ) 25 years , d ) 26 years , e ) 27 years
Answer: b
Input: Problem: if xy denotes x is raised to the power y , find the last two digits of 19413843 + 19614181 
Options: a ) 67 , b ) 97 , c ) 55 , d ) 32 , e ) 62
Answer: e
Input: Problem: the smallest number which when diminished by 7 , is divisible by 12 , 16 , 18 , 21 and 28 is 
Options: a ) 1008 , b ) 1015 , c ) 1022 , d ) 1032 , e ) none
Answer: b
Input: Problem: what is the ratio of 3 / 7 to the product 3 * ( 7 / 3 ) ? 
Options: a ) 3 : 7 , b ) 1 : 3 , c ) 3 : 21 , d ) 1 : 7 , e ) 3 : 49
Answer: e
Input: Problem: 0.003 * 0.5 = ? 
Options: a ) 0.00015 , b ) 0.0015 , c ) 0.015 , d ) 0.15 , e ) none of these
Answer: b
Input: Problem: what is the sum of all the multiples of 8 between 30 and 100 ? 
Options: a ) 485 , b ) 72 , c ) 547 , d ) 104 , e ) 624
Answer: e
Input: Problem: find the number which multiplied by 15 is increased by 196 . 
Options: a ) 14 , b ) 20 , c ) 26 , d ) 28 , e ) 27
Answer: a
Input: Problem: if the average ( arithmetic mean ) of a and b is 110 , and the average of b and c is 150 , what is the value of a − c ? 
Options: a ) − 220 , b ) − 100 , c ) 100 , d ) − 80 , e ) it can not be determined from the information given
Answer: d
Input: Problem: there are 27 different 3 - digit integers that can be formed using only the digits 3 , 4 and 5 . if all 27 of the integers were listed , what would their sum be ? 
Options: a ) 11,888 , b ) 11,988 , c ) 12,088 , d ) 12,188 , e ) 12,288
Answer: b
Input: Problem: the product of two numbers is 120 and the sum of their squares is 289 . the sum of the number is 
Options: a ) 20 , b ) 23 , c ) 27 , d ) 150 , e ) 255
Answer: b
Input: Problem: the cricket team of 11 members is 27 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 25 , e ) 24
Answer: e
Input: Problem: a no . when divided by 220 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 67 ? 
Options: a ) 4 , b ) 6 , c ) 9 , d ) 11 , e ) 14
Answer: c
Input: Problem: a mixture contains milk and water in the ratio 7 : 3 . on adding 20 liters of water , the ratio of milk to water becomes 7 : 5 . total quantity of milk & water before adding water to it ? 
Options: a ) 90 , b ) 100 , c ) 110 , d ) 120 , e ) 140
Answer: b
Input: Problem: the median annual household income in a certain community of 21 households is $ 50000 . if the mean r income of a household increases by 10 % per year over the next 2 years , what will the median income in the community be in 2 years ? 
Options: a ) $ 50000 , b ) $ 60000 , c ) $ 60500 , d ) $ 65000 , e ) can not be determined
Answer: e
Input: Problem: if a number n is chosen at random from the set of two - digit integers whose digits are both prime numbers , what is the probability w that n is divisible by 3 ? 
Options: a ) 1 / 3 , b ) ¼ , c ) 9 / 25 , d ) 5 / 16 , e ) 0
Answer: d
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 100000 people who applied for the army and 1400 were finally selected , what was the value of n ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 10
Answer: c
Input: Problem: how many diagonals does a 61 - sided convex polygon have ? 
Options: a ) 1182 , b ) 1769 , c ) 2456 , d ) 3538 , e ) 4209
Answer: b
Input: Problem: what is the tens digit of 7 ^ 1415 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: e
Input: Problem: the average ( arithmetic mean ) of 22 , 33 , and 53 is 8 less than the average of 30 , 56 , and x . what is x ? 
Options: a ) 42 , b ) 44 , c ) 46 , d ) 48 , e ) 50
Answer: c
Input: Problem: a gets 3 times as much money as b gets , b gets only rs . 25 more then what c gets . the 3 gets rs . 645 in all . find the share of b ? 
Options: a ) 134 , b ) 120 , c ) 218 , d ) 140 , e ) 145
Answer: a
Input: Problem: the difference between a number and its two - fifth is 510 . what is 15 % of that number ? 
Options: a ) 152.01 , b ) 85 , c ) 76 , d ) 168.2 , e ) 127.5
Answer: e
Input: Problem: 4 athletes , wendy , michelle , brenda , and jamal , scored in a soccer ( football ) game . if michelle scored 1 more goal than brenda did , jamal scored 3 less than wendy did , and wendy scored 3 more than michelle did , how many fewer goals did brenda score than jamal ? 
Options: a ) - 8 , b ) - 6 , c ) - 2 , d ) - 1 , e ) - 3
Answer: d
Input: Problem: what is the remainder when 43 * 49 is divided by 8 ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 7
Answer: b
Input: Problem: what least number must be subtracted from 427751 so that remaining no . is divisible by 10 
Options: a ) 3 , b ) 1 , c ) 6 , d ) 8 , e ) 9
Answer: b
Input: Problem: the sum of ages of 4 children born 4 years different each is 48 yrs . what is the age of the elder child ? 
Options: a ) 8 , b ) 9 , c ) 16 , d ) 17 , e ) 18
Answer: e
Input: Problem: the average of first 50 non - zero positive integers is 
Options: a ) 11.5 , b ) 25.5 , c ) 22 , d ) 25 , e ) 27
Answer: b
Input: Problem: there are 8 teams in a certain league and each team plays each of the other teams exactly twice . if each game is played by 2 teams , what is the total number of games played ? 
Options: a ) 15 , b ) 16 , c ) 28 , d ) 56 , e ) 64
Answer: d
Input: Problem: what is the remainder when you divide 2 ^ 200 + 2 by 7 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 6 , e ) 5
Answer: d
Input: Problem: 3 ltr of water is added with 9 ltr of a solution containing 57 % of alcohol in the water . the % of alcohol in the new mixture is ? 
Options: a ) 41.5 % , b ) 42.75 % , c ) 43 % , d ) 45 % , e ) 45.75 %
Answer: b
Input: Problem: tough and tricky questions : word problems . mike , sarah and david decided to club together to buy a present . each of them gave equal amount of money . luckily sarah negotiated a 20 % discount for the present so that each of them paid 4 dollars less . how much did they pay for a present ? 
Options: a ) 20 , b ) 36 , c ) 48 , d ) 60 , e ) 72
Answer: c
Input: Problem: average expenditure of a person for the first 3 days of a week is rs . 330 and for the next 4 days is rs . 420 . average expenditure of the man for the whole week is : 
Options: a ) 350 , b ) 370 , c ) 390 , d ) 430 , e ) none
Answer: b
Input: Problem: the average salary of 16 people in the shipping department at a certain firm is $ 20,000 . 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 ) $ 18,714 , b ) $ 18,500 , c ) $ 18,000 , d ) $ 15,850 , e ) $ 12,300
Answer: a
Input: Problem: the sum of the present age of henry and jill is 33 . what is their present ages if 6 years ago henry was twice the age of jill ? 
Options: a ) and 20 , b ) and 24 , c ) and 22 , d ) and 29 , e ) of these
Answer: a
Input: Problem: if a / x = 1 / 3 and a / y = 1 / 4 , then ( x + y ) = 
Options: a ) 2 a , b ) a / 2 , c ) 6 a , d ) 7 a , e ) 9 a
Answer: d
Input: Problem: how much is 90 % of 40 is greater than 4 / 5 of 25 ? 
Options: a ) 29 , b ) 776 , c ) 66 , d ) 16 , e ) 99
Answer: d
Input: Problem: the sum of three consecutive even numbers multiples of 3 is 72 . what is the largest number ? 
Options: a ) 21 , b ) 24 , c ) 27 , d ) 36 , e ) none
Answer: c
Input: Problem: { - 10 , - 6 , - 5 , - 4 , - 2.5 , - 1 , 0 , 2.5 , 4 , 6 , 7 , 10 } a number is to be selected at random from the set above . what is the probability that the number will be a solution to the equation ( x - 4 ) ( x + 9 ) ( 2 x + 5 ) = 0 ? 
Options: a ) 1 / 12 , b ) 1 / 6 , c ) 1 / 4 , d ) 1 / 3 , e ) 1 / 2
Answer: a
Input: Problem: what is the remainder when 1201 × 1202 × 1204 × 1205 is divided by 6 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: d
Input: Problem: the average of 10 numbers is 7 . if each number is multiplied by 12 , then the average of new set of numbers is 
Options: a ) 28 , b ) 236 , c ) 288 , d ) 84 , e ) 26
Answer: d
Input: Problem: the average mark obtained by 22 candidates in an examination is 48 . the average of the first 10 is 55 while the last 11 is 40 . the marks obtained by the 11 th candidate is ? 
Options: a ) 22 , b ) 0 , c ) 49 , d ) 58 , e ) 66
Answer: e
Input: Problem: a women purchased 3 towels @ rs . 100 each , 5 towels @ rs . 150 each and two towels at a certain rate which is now slipped off from his memory . but she remembers that the average price of the towels was rs . 155 . find the unknown rate of two towels ? 
Options: a ) a ) 400 , b ) b ) 450 , c ) c ) 500 , d ) d ) 550 , e ) e ) 600
Answer: c
Input: Problem: if x + y = 280 , x - y = 200 , for integers of x and y , y = ? 
Options: a ) 200 , b ) 240 , c ) 50 , d ) 115 , e ) 150
Answer: b
Input: Problem: an assembly line produces 90 cogs per hour until an initial order of 60 cogs is completed . the speed of the assembly line is then immediately decreased so that it only produces 60 cogs per hour until another 60 cogs are produced . what is the overall average output , in cogs per hour , for the assembly line during this whole time ? 
Options: a ) 68 , b ) 69 , c ) 70 , d ) 71 , e ) 72
Answer: e
Input: Problem: andy solves problems 74 to 135 inclusive in a math exercise . how many problems does he solve ? 
Options: a ) 53 , b ) 62 , c ) 51 , d ) 50 , e ) 49
Answer: b
Input: Problem: if x is 30 percent more than y and y is 50 percent less than z , then x is what percent of z ? 
Options: a ) 500 % , b ) 250 % , c ) 65 % , d ) 125 % , e ) 60 %
Answer: c
Input: Problem: the sum of 3 consecutive multiples of 3 is 117 . what is the largest number ? 
Options: a ) 45 , b ) 48 , c ) 51 , d ) 42 , e ) 54
Answer: d
Input: Problem: what is the difference between the largest number and the least number written with the figures 3 , 4 , 7 , 0 , 3 ? 
Options: a ) 70983 , b ) 43893 , c ) 43983 , d ) 43883 , e ) 43823
Answer: c
Input: Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 4 will be equal to : 
Options: a ) 3 , b ) 6 , c ) 1 / 9 , d ) 1 / 3 , e ) 9 / 16
Answer: e
Input: Problem: in february wilson ’ s earnings were 40 percent of his family ’ s total income . in march wilson earned 25 percent less than in february . if the rest of his family ’ s income was the same in both months , then , in march , wilson ’ s earnings were approximately what percent of his family ’ s total income ? 
Options: a ) 15 % , b ) 17 % , c ) 24 % , d ) 30 % , e ) 33 %
Answer: e
Input: Problem: a 100 - litre mixture of milk and water contains 36 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 9 % . what is the value of x ? 
Options: a ) 57.5 litres , b ) 56.67 litres , c ) 57.67 litres , d ) 56.5 litres , e ) 50 litres
Answer: e
Input: Problem: 12 times a number gives 156 . the number is 
Options: a ) 11 , b ) 12 , c ) 13 , d ) none , e ) can not be determined
Answer: c
Input: Problem: set x consists of all two - digit primes and set y consists of all positive multiples of 4 less than 100 . if the two sets are combined into one , what will be the range of the new set ? 
Options: a ) 84 , b ) 93 , c ) 90 , d ) 92 , e ) 95
Answer: b
Input: Problem: if 4 : 6 : : x : 36 , then find the value of x 
Options: a ) 24 , b ) 22 , c ) 28 , d ) 30 , e ) 18
Answer: a
Input: Problem: a sum of money is put out at compound interest for 2 years at 20 % . it would fetch rs . 241 more if the interest were payable half - yearly , then it were pay able yearly . find the sum . 
Options: a ) 12200 , b ) 11897 , c ) 18799 , d ) 10000 , e ) 12782
Answer: d
Input: Problem: find the total average marks of all the students in 2 separate classes , if the average marks of students in the first class of 39 students is 45 and that of another class of 35 students is 70 . 
Options: a ) 55.8 , b ) 51.8 , c ) 53.8 , d ) 56.8 , e ) 52.8
Answer: d
Input: Problem: one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 00,000 as total savings , how much has he saved in public provident fund ? 
Options: a ) 80000 , b ) 40000 , c ) 50000 , d ) 75000 , e ) 90000
Answer: b
Input: Problem: how many 2 digit number contain number 3 ? 
Options: a ) 18 , b ) 28 , c ) 38 , d ) 68 , e ) 58
Answer: a
Input: Problem: a box has exactly 100 balls , and each ball is either red , blue , or white . if the box has 12 more blue balls than white balls , and twice as many red balls as blue balls , how many white balls does the box has ? 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Answer: e
Input: Problem: in a recent head - to - head run - off election , 12000 absentee ballets were cast . 1 / 6 of the absentee ballets were thrown out and 3 / 5 of the remaining absentee ballets were cast for candidate a . how many absentee votes did candidate b receive ? 
Options: a ) 2,000 , b ) 3,000 , c ) 4,000 , d ) 8,000 , e ) 9,000
Answer: c
Input: Problem: there are 200 female managers in a certain company . find the total number r of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers . 
Options: a ) r = 300 , b ) r = 400 , c ) r = 500 , d ) 600 , e ) none of these
Answer: c
Input: Problem: louie takes out a 3 - month loan of $ 1000 . the lender charges him 10 % interest per month compounded monthly . the terms of the loan state that louie must repay the loan in 3 equal monthly payments . to the nearest dollar , how much does louis have to pay each month ? 
Options: a ) 333 , b ) 383 , c ) 402 , d ) 433 , e ) 483
Answer: c
Input: Problem: if jake loses 8 pounds , he will weigh twice as much as his sister kendra . together they now weigh 290 pounds . what is jake ’ s present weight , in pounds ? 
Options: a ) 180 , b ) 184 , c ) 188 , d ) 192 , e ) 196
Answer: e
Input: Problem: - 64 * 29 + 468 = ? 
Options: a ) 1430 , b ) 1302 , c ) - 2801 , d ) - 1388 , e ) none of these
Answer: d
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 30 grades are d ' s . what is the number of students in the course ? 
Options: a ) 80 , b ) 110 , c ) 160 , d ) 600 , e ) 400
Answer: d
Input: Problem: if an integer n is to be chosen at random from the integers 1 to 92 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ? 
Options: a ) 1 / 4 , b ) 3 / 8 , c ) 1 / 2 , d ) 29 / 46 , e ) 3 / 4
Answer: d
Input: Problem: company c sells a line of 20 products with an average retail price of $ 1,200 . if none of these products sells for less than $ 400 , and exactly 10 of the products sell for less than $ 1,000 , what is the greatest possible selling price of the most expensive product ? 
Options: a ) 12000 , b ) 11000 , c ) 10000 , d ) 13000 , e ) 15000
Answer: b
Input: Problem: the contents of a certain box consist of 24 oranges and 30 kiwis . how many kiwis must be added to the box so that exactly 30 % of the pieces of fruit in the box will be oranges ? 
Options: a ) 24 , b ) 26 , c ) 30 , d ) 46 , e ) 50
Answer: b
Input: Problem: if 4 xz + yw = 3 and xw + yz = 6 , what is the value of the expression ( 2 x + y ) ( 2 z + w ) ? 
Options: a ) 9 . , b ) 12 . , c ) 15 . , d ) 16 , e ) 18 .
Answer: c
Input: Problem: how many positive integers less than 50 are multiples of 6 but not multiples of 8 ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12
Answer: b
Input: Problem: a solution of 90 litres contains milk and water in the ratio 7 : x . if 10 litres of water is added to the solution , the ratio becomes 3 : 2 , find the value of x ? 
Options: a ) 2 , b ) 1.5 , c ) 3.5 , d ) 2.5 , e ) 3
Answer: c
Input: Problem: evaluate ( 51 + 52 + 53 + . . . + 100 ) 
Options: a ) 3775 , b ) 3665 , c ) 3456 , d ) 3459 , e ) 3569
Answer: a
Input: Problem: there are 3 departments having students 72 , 5824 . in an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only ( no mixing of departments ) . find the minimum number of rooms required ? 
Options: a ) 73 , b ) 74 , c ) 75 , d ) 76 , e ) 77
Answer: e
Input: Problem: how many 3 - digit numbers are completely divisible 6 ? 
Options: a ) 100 , b ) 150 , c ) 200 , d ) 250 , e ) 300
Answer: b
Input: Problem: f ( x ) is a function such that f ( x ) + 3 f ( 8 - x ) = x for all real numbers x . find the value of f ( 2 ) . 
Options: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1
Answer: d
Input: Problem: the average age of a class of 20 students is 21 years . the average increased by 1 when the teacher ' s age also included . what is the age of the teacher ? 
Options: a ) 40 , b ) 41 , c ) 42 , d ) 45 , e ) 43
Answer: c
Input: Problem: sophia finished 23 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ? 
Options: a ) 180 , b ) 200 , c ) 250 , d ) 270 , e ) 300
Answer: d
Input: Problem: in a party every person shakes hands with every other person . if there were a total of 153 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: d
Input: Problem: if x : y = 1 : 3 , find the value of ( 2 x + 3 y ) : ( 5 x – y ) 
Options: a ) 11 : 3 , b ) 11 : 2 , c ) 3 : 2 , d ) 7 : 2 , e ) 9 : 5
Answer: b
Input: Problem: the average of first five multiples of 7 is : 
Options: a ) 9 , b ) 16 , c ) 15 , d ) 8 , e ) 21
Answer: e
Input: Problem: 4.036 divided by 0.04 gives 
Options: a ) 1.009 , b ) 100.09 , c ) 10.9 , d ) none of these , e ) can not be determined
Answer: a
Input: Problem: the mean of 50 observations is 200 . but later he found that there is decrements of 9 from each observations . what is the the updated mean is ? 
Options: a ) 165 , b ) 185 , c ) 190 , d ) 191 , e ) 199
Answer: d
Input: Problem: the average of first six prime numbers greater than 3 is ? 
Options: a ) 16 , b ) 10 , c ) 12 , d ) 19 , e ) 17.8
Answer: c
Input: Problem: the average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 55 kg . what is the weight of the new person ? 
Options: a ) 75 kg , b ) 85 kg , c ) 95 kg , d ) 65 kg , e ) 55 kg
Answer: a
Input: Problem: what is the smallest no . which must be added to 25268 so as to obtain a sum which is divisible by 11 ? 
Options: a ) 5 , b ) 10 , c ) 11 , d ) 20 , e ) 30
Answer: b
Input: Problem: if 2 ^ ( 2 w ) = 8 ^ ( w − 6 ) , what is the value of w ? 
Options: a ) 12 , b ) 15 , c ) 18 , d ) 21 , e ) 24
Answer: c
Input: Problem: a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 % of the distribution lies one standard deviation s of the mean , what percent of the distribution is less than m + s ? 
Options: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %
Answer: d
Input: Problem: what is the remainder when 3 ^ 25 is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: d
Input: Problem: the price of a certain painting increased by 20 % during the first year and decreased by 15 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ? 
Options: a ) 102 % , b ) 105 % , c ) 120 % , d ) 135 % , e ) 140 %
Answer: a
Input: Problem: roy is now 6 years older than julia and half of that amount older than kelly . if in 4 years , roy will be twice as old as julia , then in 4 years what would be roy ’ s age multiplied by kelly ’ s age ? 
Options: a ) 72 , b ) 84 , c ) 90 , d ) 96 , e ) 108
Answer: e
Input: Problem: how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 20 m long and 16 1 / 2 m board ? 
Options: a ) 66 , b ) 18 , c ) 16 , d ) 10 , e ) 15
Answer: a
Input: Problem: a box has exactly 100 balls , and each ball is either red , blue , or white . if the box has 5 more blue balls than white balls , and thrice as many red balls as blue balls , how many white balls does the box has ? 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Answer: e
Input: Problem: 75 % of 480 = ( ? ) x 15 ? 
Options: a ) 32 , b ) 18 , c ) 360 , d ) none of these , e ) can not be determined
Answer: d
Input: Problem: find the value for x from below equation : x / 3 = - 5 ? 
Options: a ) - 66 , b ) 13 , c ) - 15 , d ) - 31 , e ) 40
Answer: c
Input: Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 500 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 200 ? 
Options: a ) 1,108 , b ) 4,100 , c ) 2,108 , d ) 2,124 , e ) 2,256
Answer: b
Input: Problem: if an integer n is to be chosen at random from the integers 1 to 86 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ? 
Options: a ) 1 / 4 , b ) 3 / 8 , c ) 1 / 2 , d ) 55 / 86 , e ) 3 / 4
Answer: d
Input: Problem: evaluate : | 9 - 8 ( 3 - 12 ) | - | 5 - 11 | = ? 
Options: a ) 75 , b ) 50 , c ) 60 , d ) 70 , e ) 80
Answer: a
Input: Problem: there are 6 boxes numbered 1 , 2 , … , . 6 . each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered . the total number of ways in which this can be done is 
Options: a ) 22 , b ) 21 , c ) 45 , d ) 27 , e ) 25
Answer: b
Input: Problem: a certain no . when divided by 95 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 9
Answer: d
Input: Problem: amit , sumit and pramit go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations . after breakfast , each of them boards a different tourist vehicle from the nearest bus - depot . after 3 hours , sumit who had gone to a famous beach , calls on the mobile of pramit and claims that he has observed a shark in the waters . pramit learns from the local guide that at that time of the year , only 8 sea - creatures ( including a shark ) are observable and the probability of observing any creature is equal . however , amit and pramit later recall during their discussion that sumit has a reputation for not telling the truth 5 out of 6 times . what is the probability that sumit actually observed a shark in the waters ? 
Options: a ) 1 / 36 , b ) 1 / 30 , c ) 5 / 36 , d ) 1 / 24 , e ) 1 / 28
Answer: a
Input: Problem: in a recent election , james received 0.5 percent of the 2000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ? 
Options: a ) 901 , b ) 989 , c ) 990 , d ) 991 , e ) 1,001
Answer: d
Input: Problem: a mixture of 150 liters of wine and water contains 15 % water . how much more water should be added so that water becomes 25 % of the new mixture ? 
Options: a ) 10 , b ) 30 , c ) 20 , d ) 15 , e ) 17
Answer: c
Input: Problem: what is the smallest integer e greater than 1 that leaves a remainder of 1 when divided by any of the integers 6 , 8 , and 10 ? 
Options: a ) 21 , b ) 41 , c ) e = 121 , d ) 241 , e ) 481
Answer: c
Input: Problem: a club wants to mix 20 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound . how many pounds of the $ 5.00 per pound candy should be used ? 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Answer: c
Input: Problem: the value of ( ( x – y ) ³ + ( y - z ) ³ + ( z – x ) ³ ) / ( 15 ( x – y ) ( y – z ) ( z – x ) ) is equal to : 
Options: a ) 0 , b ) 1 / 12 , c ) 1 , d ) 1 / 5 , e ) 1 / 3
Answer: d
Input: Problem: at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses w at the restaurant ? ( assume that all boxes are filled to capacity . ) 
Options: a ) 96 , b ) 240 , c ) w = 256 , d ) w = 384 , e ) w = 480
Answer: e
Input: Problem: when y is divided by 264 , the remainder is 42 . what is the remainder when the same y is divided by 22 ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Answer: e
Input: Problem: the average of 20 results is 65 and the average of other 65 results is 20 . what is the average of all the results ? 
Options: a ) 30 , b ) 25 , c ) 48 , d ) 50 , e ) none
Answer: a
Input: Problem: subtracting 5 % of a from a is equivalent to multiplying a by how much ? 
Options: a ) 0.95 , b ) 9.4 , c ) 0.094 , d ) 94 , e ) none
Answer: a