Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: if m and n are positive integers and m ^ 2 + n ^ 2 = 89 , what is the value of m ^ 3 + n ^ 3 ? 
Options: a ) 72 , b ) 224 , c ) 320 , d ) 512 , e ) 637
Answer: e
Input: Problem: what will be the reminder when ( 67 ^ 67 + 67 ) is divided by 68 ? 
Options: a ) 1 , b ) 63 , c ) 66 , d ) 67 , e ) none of these
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 a of z - x ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
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 . the present age of this son is 
Options: a ) 78 years , b ) 22 years , c ) 88 years , d ) 66 years , e ) 24 years
Answer: e
Input: Problem: solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 50 milliliters of solution x to create a solution that is 25 percent alcohol by volume ? 
Options: a ) 150 , b ) 500 / 3 , c ) 400 , d ) 480 , e ) 600
Answer: a
Input: Problem: if it takes a tub 2 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 , 14 seconds , e ) 4 minutes , 12 seconds
Answer: a
Input: Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1004 in total compensation , how many total hours did he work that week ? 
Options: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 53
Answer: e
Input: Problem: what is the value of ( 5 ) ^ - 5 ? 
Options: a ) 1 / 3125 , b ) 1 / 3000 , c ) 1 / 658 , d ) 1 / 500 , e ) 1 / 75
Answer: a
Input: Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 25 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? 
Options: a ) 10 % , b ) 12 % , c ) 15 % , d ) 17 % , e ) 33 %
Answer: e
Input: Problem: if there are 200 questions in a 3 hr examination . among these questions are 15 type a problems , which requires twice as much as time be spent than the rest of the type b problems . how many minutes should be spent on type a problems ? 
Options: a ) 72 min , b ) 25.11628 min , c ) 70 min , d ) 74.11682 min , e ) 76 min
Answer: b
Input: Problem: the sum of two numbers is 56 , and one of them is 12 more than the other . what are the two numbers ? 
Options: a ) 36 - 48 , b ) 22 - 34 , c ) 60 - 24 , d ) 42 - 42 , e ) 21 - 63
Answer: b
Input: Problem: the milk level in a rectangular box measuring 60 feet by 25 feet is to be lowered by 6 inches . how many gallons of milk must be removed ? ( 1 cu ft = 7.5 gallons ) 
Options: a ) 100 , b ) 250 , c ) 750 , d ) 5625 , e ) 5635
Answer: d
Input: Problem: if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.45 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was 
Options: a ) $ 1.56 , b ) $ 2.40 , c ) $ 3.80 , d ) $ 4.20 , e ) $ 7.30
Answer: e
Input: Problem: what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 100 inclusive ? 
Options: a ) 190 , b ) 195 , c ) 200 , d ) 205 , e ) 55
Answer: e
Input: Problem: what is the remainder when 3 ^ 26 is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: e
Input: Problem: john was 22 years old when he married betty . they just celebrated their fifth wedding anniversary , and betty ' s age is now 7 / 9 of john ' s . how old is betty ? 
Options: a ) 24 , b ) 26 , c ) 28 , d ) 21 , e ) 32
Answer: d
Input: Problem: if x is a sum of all even integers on the interval 13 . . . 63 and y is their number , what is the gcd ( x , y ) ? 
Options: a ) 1 , b ) 13 , c ) 26 , d ) 25 , e ) 1014
Answer: d
Input: Problem: how many different pairs of positive integers ( a , b ) satisfy the equation 1 / a + 1 / b = 34 / 51 ? 
Options: a ) 6 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: e
Input: Problem: ( 208 % of 1265 ) ÷ 6 = ? 
Options: a ) a ) 125 , b ) b ) 439 , c ) c ) 225 , d ) d ) 375 , e ) e ) 524
Answer: b
Input: Problem: sum of 3 numbers 264 , if the first number be twice then second and third number be one third of the first , then the second number is 
Options: a ) 70 , b ) 71 , c ) 72 , d ) 73 , e ) 74
Answer: c
Input: Problem: gold is 10 times as heavy as water and copper is 6 times as heavy as water . in what ratio should these be mixed to get an alloy 8 times as heavy as water ? 
Options: a ) 3 : 2 , b ) 1 : 1 , c ) 3 : 1 , d ) 5 : 2 , e ) 4 : 3
Answer: b
Input: Problem: if 3 ^ x * 4 ^ y = 19683 and x – y = 9 , then x = ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Answer: b
Input: Problem: a dog is tied to a tree by a long nylon cord . if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items , and the dog ran approximately 30 feet , what was the approximate length of the nylon cord w , in feet ? 
Options: a ) 30 , b ) 25 , c ) 15 , d ) 10 , e ) 5
Answer: d
Input: Problem: if n = 2 ^ 0.20 and n ^ b = 16 , b must equal 
Options: a ) 3 / 80 , b ) 3 / 5 , c ) 20 , d ) 5 / 3 , e ) 80 / 3
Answer: c
Input: Problem: the average weight of 8 persons increases by 1.5 kg when a person weighting 65 kg is replaced by a new person . what could be the weight of the new person ? 
Options: a ) 67 kg , b ) 77 kg , c ) 87 kg , d ) 97 kg , e ) none of these
Answer: b
Input: Problem: 0.002 x 0.6 = ? 
Options: a ) 0.0012 , b ) 0.001 , c ) 0.01 , d ) 0.1 , e ) none of these
Answer: a
Input: Problem: if | 7 x + 2 | = 16 , then find the product of the values of x ? 
Options: a ) - 5.14 , b ) 6.19 , c ) - 7.18 , d ) - 8.62 , e ) 5.69
Answer: a
Input: Problem: a cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4 . the number of wickets taken by him till the last match was : 
Options: a ) 64 , b ) 72 , c ) 80 , d ) 85 , e ) none of the above
Answer: d
Input: Problem: assume that f ( 1 ) = 0 and f ( m + n ) = f ( m ) + f ( n ) + 4 ( 9 mn - 1 ) . for all natural numbers ( integers > 0 ) m and n . what is the value of f ( 17 ) ? 
Options: a ) 4832 , b ) 4855 , c ) 4825 , d ) 4895 , e ) 4862
Answer: a
Input: Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 32.5 meters . how many times did the ball bounce ? 
Options: a ) 2 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: a
Input: Problem: the sum of number of boys and girls in a school is 900 . if the number of boys is x , then the number of girls becomes x % of the total number of students . the number of boys is ? 
Options: a ) 50 , b ) 40 , c ) 60 , d ) 90 , e ) 70
Answer: d
Input: Problem: the average of 10 numbers is 23 . if each number is increased by 6 , what will the new average be ? 
Options: a ) 36 , b ) 29 , c ) 72 , d ) 29 , e ) 22
Answer: b
Input: Problem: there are 12 pieces of radioactive metal a that look identical . 11 of the pieces give the same radiation count when measured , the 12 th piece is a counterfeit and gives a different radiation level , which may be more or less than the other 11 . we are given a radiation scale , which can take 2 sets of samples and compare their added up radiation levels to tell us if the sums are the same or if different , which set has the higher level of radiation . what is the minimum number of comparisons we need on this scale to identify the counterfeit sample and to also determine whether it has more or less radiation than the other samples ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: b
Input: Problem: in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 9720 votes were polled , then how many valid votes did b get ? 
Options: a ) 1888 , b ) 2999 , c ) 3159 , d ) 2777 , e ) 2991
Answer: c
Input: Problem: what is the sum of the greatest common factor and the lowest common multiple of 48 and 72 ? 
Options: a ) 192 , b ) 120 , c ) 168 , d ) 160 , e ) 184
Answer: c
Input: Problem: if f ( x ) = 2 x ^ 2 + y , and f ( 2 ) = 50 , what is the value of f ( 5 ) ? 
Options: a ) 104 , b ) 60 , c ) 92 , d ) 50 , e ) 25
Answer: c
Input: Problem: a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 80 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: a
Input: Problem: find the least number must be subtracted from 165826 so that remaining no . is divisible by 4 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: the number of singles that a baseball player hit increased 11 percent from her first season to her second season , and the number of doubles that she hit in the same time period decreased by 1 percent . if the total number of singles and doubles that she hit increased 2 percent from her first season to her second season , what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ? 
Options: a ) 1 : 3 , b ) 9 : 11 , c ) 1 : 1 , d ) 2 : 1 , e ) 11 : 3
Answer: a
Input: Problem: find the sum of all odd numbers up to 100 . 
Options: a ) 2500 , b ) 2400 , c ) 2300 , d ) 2200 , e ) 2100
Answer: a
Input: Problem: for what values of k will the pair of equations 4 ( 3 x + 4 y ) = 48 and kx + 12 y = 30 does not have a unique solution ? 
Options: a ) 12 , b ) 9 , c ) 3 , d ) 7.5 , e ) 2.5
Answer: b
Input: Problem: the maximum number of student amoung them 1802 pens and 1203 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : 
Options: a ) 1 , b ) 10 , c ) 11 , d ) 19 , e ) none of these
Answer: a
Input: Problem: the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 5 years ? 
Options: a ) 3277 , b ) 2977 , c ) 9492 , d ) 6077 , e ) 17112
Answer: c
Input: Problem: the population of a town increased from 1 , 75,000 to 2 , 97,500 in a decade . the average percent increase of population per year is 
Options: a ) 4.37 % , b ) 5 % , c ) 6 % , d ) 8.75 % , e ) 7 %
Answer: e
Input: Problem: in a simultaneous throw of pair of dice . find the probability of getting the total more than 7 
Options: a ) 5 / 7 , b ) 4 / 7 , c ) 5 / 12 , d ) 4 / 7 , e ) 1 / 6
Answer: c
Input: Problem: 5357 x 51 = ? 
Options: a ) 273232 , b ) 273243 , c ) 273247 , d ) 273250 , e ) 273207
Answer: e
Input: Problem: if the average of 55 , 48 , 507 , 2 , 684 and y is 223 , then what is y ? 
Options: a ) 701 , b ) 120 , c ) 42 , d ) 868 , e ) 1
Answer: c
Input: Problem: if 12 ! / 3 ^ x is an integer , what is the greatest possible value of x ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: c
Input: Problem: the average of 9 observations was 9 , that of the 1 st of 4 being 10 and that of the last 4 being 8 . what was the 5 th observation ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: d
Input: Problem: an exam consists of 7 true / false questions . brian forgets to study , so he must guess blindly on each question . if any score above 70 % is a passing grade , what is the probability that brian passes ? 
Options: a ) 1 / 16 , b ) 37 / 256 , c ) 1 / 2 , d ) 219 / 256 , e ) 15 / 16
Answer: d
Input: Problem: the average age of 30 students in a class is 15 years . if the age of teacher is also included , the average becomes 16 years , find the age of the teacher . 
Options: a ) 46 , b ) 55 , c ) 43 , d ) 39 , e ) 54
Answer: a
Input: Problem: marts income is 50 percent more than tims income and tims income is 40 percent less than juans income . what percentage of juans income is marts income 
Options: a ) 124 % , b ) b ) 120 % , c ) c ) 96 % , d ) d ) 90 % , e ) e ) 64 %
Answer: d
Input: Problem: in a class of 25 students in an examination in maths 3 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ? 
Options: a ) 47 , b ) 45.6 , c ) 44 , d ) 48 , e ) 49
Answer: b
Input: Problem: what is the smallest number which , when increased by 5 , is divisible by 7 , 8 , and 24 ? 
Options: a ) 148 , b ) 153 , c ) 158 , d ) 163 , e ) 168
Answer: d
Input: Problem: if 20 % of a number is equal to three - fifth of another number , what is the ratio of first number to the second number ? 
Options: a ) 3 : 1 , b ) 2 : 1 , c ) 1 : 3 , d ) 1 : 2 , e ) 2 : 3
Answer: a
Input: Problem: in the youth summer village there are 300 people , 200 of them are not working , 100 of them have families and 125 of them like to sing in the shower . what is the largest possible number of people in the village , which are working , that do n ' t have families and that are singing in the shower ? 
Options: a ) 150 , b ) 125 , c ) 175 , d ) 200 , e ) 100
Answer: e
Input: Problem: working simultaneously and independently at an identical constant rate , 5 machines of a certain type can produce a total of x units of product p in 4 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 2 x units of product p in 2 days ? 
Options: a ) 11 , b ) 13 , c ) 15 , d ) 18 , e ) 20
Answer: e
Input: Problem: a 40 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ? 
Options: a ) 810 , b ) 12 , c ) 13 , d ) 14 , e ) 16
Answer: a
Input: Problem: if x , y , and z are positive real numbers such that x + y - z = 100 , y - z + x = 120 , and z - x + y = 50 , then find the x + y + z value ? 
Options: a ) 100 , b ) 120 , c ) 150 , d ) 200 , e ) 160
Answer: b
Input: Problem: when average age of 25 members are 0 , how many members greater than 0 ? 
Options: a ) 17 , b ) 24 , c ) 21 , d ) 23 , e ) 25
Answer: b
Input: Problem: if â € œ * â €  is called â € œ + â €  , â € œ / â €  is called â € œ * â €  , â € œ - â €  is called â € œ / â €  , â € œ + â €  is called â € œ - â €  . 240 * 80 / 60 + 40 / 10 = ? 
Options: a ) - 2305 , b ) - 2407 , c ) 2509 , d ) - 2101 , e ) none of these
Answer: b
Input: Problem: a driver just filled the car ' s gas tank with 27 liters of gasohol , a mixture consisting of 5 % ethanol and 95 % gasoline . if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline , how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance ? 
Options: a ) 1.2 , b ) 1.5 , c ) 1.8 , d ) 2.1 , e ) 2.4
Answer: b
Input: Problem: 3 , 7,12 , 18,25 . . . . . . . . . . . . . . 9 th terms 
Options: a ) 43 , b ) 53 , c ) 63 , d ) 65 , e ) 78
Answer: c
Input: Problem: if m and n are positive integers and m = 15 n - 1 , what is the remainder when m is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: e
Input: Problem: mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile . annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile . if each was charged exactly the same amount , and annie ' s ride was 14 miles , how many miles was mike ' s ride ? 
Options: a ) 28 , b ) 30 , c ) 32 , d ) 34 , e ) 36
Answer: d
Input: Problem: the average age of 19 students in a group is 17 years . when teacher ’ s age is included to it , the average increases by one . what is the teacher ’ s age in years ? 
Options: a ) 36 , b ) 37 , c ) 38 , d ) can not be determined , e ) none of these
Answer: b
Input: Problem: if x and y are positive integers and 5 + x + y + xy = 19 , what is the value of x + y ? 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 8 , e ) 9
Answer: c
Input: Problem: the cost of 2 chairs and 3 tables is rs . 1700 . 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 ) 500
Answer: e
Input: Problem: a charitable woman gave one penny more than half pennies in her purse to a farmer . afterwards she came across a beggar whom she gave 2 pennies more than half of what she had in her purse . in the end she gave 3 pennies more than half of what she had in her purse and left with a penny with her to a boy . find what she had in the beginning ? 
Options: a ) 41 , b ) 42 , c ) 43 , d ) 44 , e ) 45
Answer: b
Input: Problem: what is the value of x ^ 2 yz − xyz ^ 2 , if x = − 2 , y = 1 , and z = 4 ? 
Options: a ) 20 , b ) 24 , c ) 30 , d ) 32 , e ) 48
Answer: e
Input: Problem: how many positive integers less than 5,000 are evenly divisible by neither 13 nor 21 ? 
Options: a ) 4,514 , b ) 4,475 , c ) 4,521 , d ) 4,428 , e ) 4,349
Answer: e
Input: Problem: what is the sum of all even numbers from 1 to 801 ? 
Options: a ) 160400 , b ) 281228 , c ) 281199 , d ) 122850 , e ) 128111
Answer: a
Input: Problem: machine x takes 60 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce 
Options: a ) 100 , b ) 65 , c ) 25 , d ) 11 , e ) 3
Answer: e
Input: Problem: seller selling an apple for rs . 19 , a seller loses 1 / 6 th of what it costs him . the cp of the apple is ? 
Options: a ) 10 , b ) 12 , c ) 20 , d ) 18 , e ) 21
Answer: c
Input: Problem: a will states that the estate would be divided among 6 sons with the remainder donated to charity . one stipulation in the will is that no one among the sons can receive an amount within 12 % of another ' s amount . if one of the beneficiaries received $ 30000 , what is the smallest possible range between the highest and lowest amounts ( rounded to the nearest dollar ) among the 6 sons ? 
Options: a ) $ 4096 , b ) $ 14043 , c ) $ 7892 , d ) $ 17736 , e ) $ 15336
Answer: b
Input: Problem: a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ? 
Options: a ) 4551 , b ) 4771 , c ) 4991 , d ) 4881 , e ) 4661
Answer: c
Input: Problem: how much water should be added to 15 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 % ? 
Options: a ) 25 liters , b ) 27 liters , c ) 30 liters , d ) 32 liters , e ) 35 liters
Answer: a
Input: Problem: a certain class of students is being divided into teams . the class can either be divided into 12 teams with an equal number of players on each team or 24 teams with an equal number of players on each team . what is the lowest possible number of students in the class ? 
Options: a ) 24 , b ) 36 , c ) 48 , d ) 60 , e ) 72
Answer: a
Input: Problem: a sum of rs . 312 was divided among 100 boys and girls in such a way that each boy gets rs . 3.60 and each girl rs . 2.40 . 
Options: a ) 45 , b ) 49 , c ) 52 , d ) 60 , e ) 74
Answer: d
Input: Problem: the average of first 14 even numbers is ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 15
Answer: e
Input: Problem: the tax on a commodity is diminished by 25 % and its consumption increased by 15 % . the effect on revenue is ? 
Options: a ) 12 % decrease , b ) 18 % decrease , c ) 19 % decrease , d ) 13.75 % decrease , e ) 12.5 % decrease
Answer: c
Input: Problem: find the value of x . ( 47 % of 1442 - 36 % of 1412 ) + 60 = x ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: a
Input: Problem: if 2 x + y = 7 and x + 2 y = 10 , then ( x + y ) / 3 = 
Options: a ) 1 , b ) 4 / 3 , c ) 17 / 9 , d ) 18 / 5 , e ) 4
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 3 ) ( x + 14 ) ( 2 x + 5 ) = 0 ? 
Options: a ) 1 / 12 , b ) 1 / 6 , c ) 1 / 4 , d ) 1 / 3 , e ) 1 / 2
Answer: a
Input: Problem: reeya obtained 65 , 67 , 76 , 82 and 85 out of 100 in different subjects , what will be the average 
Options: a ) 70 , b ) 75 , c ) 80 , d ) 85 , e ) 60
Answer: b
Input: Problem: the sum of the present ages of two persons a and b is 60 . if the age of a is twice that of b , find the sum of their ages 2 years hence ? 
Options: a ) 58 , b ) 59 , c ) 64 , d ) 70 , e ) 74
Answer: c
Input: Problem: the difference of two numbers is 11 and one - fifth of their sum is 9 . find the numbers . 
Options: a ) 28 and 17 , b ) 27 and 18 , c ) 25 and 15 , d ) 27 and 15 , e ) 25 and 18
Answer: a
Input: Problem: if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 11 . 
Options: a ) 8 , b ) 5 , c ) 1 , d ) 3 , e ) 4
Answer: c
Input: Problem: 3 maths classes : a , b and c take an algebra test . the average score of class a is 83 . the average score of class b is 76 . the average score of class c is 85 . the average score of class a and b is 79 and average score of class b and c is 81 . what is the average score of classes a , b , c ? 
Options: a ) 81.8 , b ) 81.1 , c ) 81.2 , d ) 81.5 , e ) 81.9
Answer: d
Input: Problem: if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 9000 ? 
Options: a ) 11 , b ) 13 , c ) 15 , d ) 18 , e ) 10
Answer: c
Input: Problem: the youngest of 4 children has siblings who are 3 , 6 , and 7 years older than she is . if the average ( arithmetic mean ) age of the 4 siblings is 30 , what is the age of the youngest sibling ? 
Options: a ) 22 , b ) 23 , c ) 24 , d ) 25 , e ) 26
Answer: e
Input: Problem: a box contains 11 apples , 10 of which are red . an apple is drawn from the box and its color is noted before it is eaten . this is done a total of n times , and the probability that a red apple is drawn each time is less than 0.5 . what is the smallest possible value of n ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: d
Input: Problem: the average of 7 numbers is 20 . if each number be multiplied by 5 . find the average of new set of numbers ? 
Options: a ) a ) 100 , b ) b ) 122 , c ) c ) 120 , d ) d ) 125 , e ) e ) 145
Answer: a
Input: Problem: 5 + 5 
Options: a ) 9 , b ) 12 , c ) 20 , d ) 10 , e ) 0
Answer: d
Input: Problem: product of two natural numbers is 17 . then , the sum of reciprocals of their squares is 
Options: a ) 290 / 289 , b ) 1 / 289 , c ) 290 / 90 , d ) 290 / 19 , e ) none of these
Answer: a
Input: Problem: a certain fraction is equivalent to 3 / 5 . if the numerator of the fraction is increased by 4 and the denominator is doubled , the new fraction is equivalent to 1 / 3 . what is the sum of the numerator and denominator of the original fraction ? 
Options: a ) 49 , b ) 35 , c ) 28 , d ) 56 , e ) 21
Answer: d
Input: Problem: a basket of 1430 apples is divided equally among a group of apple lovers . if 45 people join the group , each apple lover would receive 9 apples less . how many u apples did each person get before 45 people joined the feast ? 
Options: a ) 20 . , b ) 21 . , c ) 22 . , d ) 23 . , e ) 24 .
Answer: c
Input: Problem: if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 12 - m ) then m = ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: d
Input: Problem: a certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint . if 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans , what is the least amount of paint r , in gallons , that must be purchased in order to measure out the portions needed for the mixture ? 
Options: a ) 2 , b ) 2 1 / 2 , c ) 3 , d ) 3 1 / 2 , e ) 4
Answer: b
Input: Problem: a meal cost $ 35.50 adn there was no tax . if the tip was more than 2 pc but less than 12 pc of the price , then the total amount paid should be : 
Options: a ) 40 - 43 , b ) 39 - 42 , c ) 39 - 42 , d ) 38 - 41 , e ) 36 - 40
Answer: e
Input: Problem: on a certain date , pat invested $ 5,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 12 years will be $ 20,000 , in how many years , the total value of the investment plus interest will increase to $ 30,000 ? 
Options: a ) 15 , b ) 16 , c ) 18 , d ) 20 , e ) 24
Answer: a
Input: Problem: at a certain committee meeting only associate professors and assistant professors are present . each associate professor has brought 2 pencils and 1 chart to the meeting , while each assistant professor has brought 1 pencil and 2 charts . if a total of 10 pencils and 14 charts have been brought to the meeting , how many people are present ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: c
Input: Problem: the average marks of a class of 22 students is 40 and that of another class of 28 students is 60 . find the average marks of all the students ? 
Options: a ) 51.2 , b ) 59.5 , c ) 52.8 , d ) 52.5 , e ) 52.1
Answer: a
Input: Problem: a certain animal in the zoo has consumed 39 pounds of food in 6 days . if it continues to eat at the same rate , in how many more days will its total consumption be 117 pounds ? 
Options: a ) 8 , b ) 7 , c ) 12 , d ) 9 , e ) none of the above
Answer: c
Input: Problem: the population of locusts in a certain swarm doubles every two hours . if 4 hours ago there were 1000 locusts in the swarm , in approximately how many hours will the swarm population exceed 128000 locusts ? 
Options: a ) 12 , b ) 8 , c ) 4 , d ) 10 , e ) 16
Answer: d
Input: Problem: if 13 = 13 w / ( 1 - w ) , then ( 4 w ) 2 = 
Options: a ) 1 / 4 , b ) 1 / 2 , c ) 1 , d ) 2 , e ) 4
Answer: e
Input: Problem: if 5 + 7 / x = 6 - 5 / x , then x = 
Options: a ) 7 , b ) 14 , c ) 12 , d ) 6 / 7 , e ) 5
Answer: c
Input: Problem: 4 , 12 , 48 , 240 , 1440 , 10080,80640 ( . . . ) 
Options: a ) 7620 , b ) 10080 , c ) 6200 , d ) 10020 , e ) 725760
Answer: e
Input: Problem: a rainstorm increased the amount of water stored in state j reservoirs from 124 billion gallons to 140 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? 
Options: a ) 51 , b ) 48 , c ) 55 , d ) 63 , e ) 65
Answer: a
Input: Problem: a number when divided by 45 , gives 30 as quotient and 0 as remainder . what will be the remainder when dividing the same number by 15 
Options: a ) a ) 0 , b ) b ) 3 , c ) c ) 4 , d ) d ) 6 , e ) e ) 7
Answer: a
Input: Problem: how many multiples of 5 are there between 5 to 95 ? 
Options: a ) 9 , b ) 18 , c ) 17 , d ) 16 , e ) 15
Answer: c
Input: Problem: a project scheduled to be carried out over a single fiscal year has a budget of $ 12600 , divided into 12 equal monthly allocations . at the end of the sixth month of that fiscal year , the total amount actually spent on the project was $ 6580 . by how much was the project over its budget ? 
Options: a ) $ 380 , b ) $ 540 , c ) $ 280 , d ) $ 1380 , e ) $ 1430
Answer: c
Input: Problem: a card game called “ high - low ” divides a deck of 52 playing cards into 2 types , “ high ” cards and “ low ” cards . there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points , while “ low ” cards are worth 1 point . if you draw cards one at a time , how many ways can you draw “ high ” and “ low ” cards to earn 4 points if you must draw exactly 2 “ low ” cards ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: c
Input: Problem: a number is doubled and 9 is added . if the resultant is trebled , it becomes 69 . what is that number ? 
Options: a ) 3.5 , b ) 6 , c ) 8 , d ) 7 , e ) 4
Answer: d
Input: Problem: in the faculty of reverse - engineering , 200 second year students study numeric methods , 400 second year students study automatic control of airborne vehicles and 100 second year students study them both . how many students are there in the faculty if the second year students are approximately 60 % of the total ? 
Options: a ) 834 , b ) 750 , c ) 633 , d ) 654 , e ) 812
Answer: a
Input: Problem: what is the unit ’ s digit of 7 ^ 7 
Options: a ) 9 , b ) 5 , c ) 3 , d ) 7 , e ) 1
Answer: c
Input: Problem: the compound interest on a sum for 2 years is rs . 832 and the simple interest on the same sum for the same period is rs . 800 . the difference between the compound and simple interest for 3 years will be 
Options: a ) rs . 48 , b ) rs . 98.56 , c ) rs . 66.56 , d ) rs . 66.58 , e ) none of these
Answer: b
Input: Problem: if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 630 , what is the least possible value of n ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: c
Input: Problem: the ages of two person , differ by 20 years . if 5 years ag , the elder one be 5 times as old as the younger one their present ages ( in years ) are respectively 
Options: a ) 30 , 10 , b ) 2010 , c ) 3515 , d ) 5117 , e ) 20,17
Answer: a
Input: Problem: 16 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ? 
Options: a ) 14 , b ) 12 , c ) 11 , d ) 8 , e ) 7
Answer: e
Input: Problem: if { x } is the product of all even integers from 1 to x inclusive , what is the greatest prime factor of { 26 } + { 24 } ? 
Options: a ) 23 , b ) 20 , c ) 27 , d ) 5 , e ) 2
Answer: c
Input: Problem: if x / ( 9 p ) is an even prime number , where x is a positive integer and p is a prime number , what is the least value of x ? 
Options: a ) 22 , b ) 33 , c ) 44 , d ) 66 , e ) 99
Answer: c
Input: Problem: if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 210 , what is the least possible value of n ? 
Options: a ) 7 , b ) 9 , c ) 11 , d ) 13 , e ) 14
Answer: a
Input: Problem: 3 * 14 + 3 * 15 + 3 * 18 + 11 = ? 
Options: a ) 125 , b ) 126 , c ) 130 , d ) 148 , e ) 152
Answer: e
Input: Problem: if a wholesaler distributes items to several outlets ( a , b , c and d ) in the ratio of 1 / 12 : 1 / 13 : 1 / 15 : 1 / 2 , then find the total number of items the wholesaler distributes ? 
Options: a ) 567 , b ) 167 , c ) 267 , d ) 467 , e ) 667
Answer: a
Input: Problem: village a ’ s population is 300 greater than village b ' s population . if village b ’ s population were reduced by 600 people , then village a ’ s population would be 4 times as large as village b ' s population . what is village b ' s current population ? 
Options: a ) 900 , b ) 1000 , c ) 1100 , d ) 1200 , e ) 1300
Answer: a
Input: Problem: the contents of a certain box consist of 40 apples and 30 oranges . how many oranges must be added to the box so that exactly 40 % of the pieces of fruit in the box will be apples ? 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 30
Answer: e
Input: Problem: john has taken 4 ( 4 ) tests that have an average of 82 . in order to bring his course grade up to a ‘ b ’ , he will need to have a final average of 86 . what will he need to average on his final two tests to achieve this grade ? 
Options: a ) 87 , b ) 90 , c ) 92 , d ) 94 , e ) 97
Answer: d
Input: Problem: each child has 5 crayons and 14 apples . if there are 10 children , how many crayons are there in total ? 
Options: a ) 22 , b ) 65 , c ) 12 , d ) 36 , e ) 50
Answer: e
Input: Problem: what is the average of 12 , 13 , 14 , 510 , 520 , 530 , 1115 , 1120 , and 1 , 1252140 , 2345 ? 
Options: a ) 419 , b ) 551 , c ) 601 , d ) 620 , e ) 858.54
Answer: e
Input: Problem: of the 3,600 employees of company x , 1 / 6 are clerical . if the clerical staff were to be reduced by 1 / 3 , what percent of the total number of the remaining employees would then be clerical ? 
Options: a ) 25 % , b ) 22.2 % , c ) 20 % , d ) 12.5 % , e ) 11.7 %
Answer: e
Input: Problem: a clock store sold a certain clock to a collector for 35 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 15 percent of what the collector had paid . the shop then sold the clock again at a profit of 65 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 105 , for how much did the shop sell the clock the second time ? 
Options: a ) $ 75.44 , b ) $ 88.23 , c ) $ 64.77 , d ) $ 54.32 , e ) $ 43.99
Answer: e
Input: Problem: hyderabad chennai mumbai delhi bangalore trivandram ; hyderabad chennai mumbai delhi bangalore trivandram in the table above , what is the least number of table entries that are needed to show the mileage between each city and each of the other 5 cities ? 
Options: a ) 20 , b ) 18 , c ) 14 , d ) 15 , e ) 16
Answer: d
Input: Problem: in the new budget , the price of kerosene oil rose by 25 % . by how much percent must a person reduce his consumption so that his expenditure on it does not increase ? 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) none of them
Answer: b
Input: Problem: a meal cost $ 48.75 adn there was no tax . if the tip was more than 5 pc but less than 20 pc of the price , then the total amount paid should be : 
Options: a ) 60 - 65 , b ) 55 - 58 , c ) 51 - 59 , d ) 39 - 41 , e ) 38 - 40
Answer: c
Input: Problem: the cost of a one - family home was $ 120,000 in 1980 . in 1988 , the price had increased to $ 186,000 . what was the percent increase in the cost of the home ? 
Options: a ) 60 % , b ) 50 % , c ) 55 % , d ) 40 % , e ) 33.3 %
Answer: c
Input: Problem: the number of boxes in a warehouse can be divided evenly into 5 equal shipments by boat or 24 equal shipments by truck . what is the smallest number of boxes that could be in the warehouse ? 
Options: a ) 27 , b ) 33 , c ) 54 , d ) 81 , e ) 120
Answer: e
Input: Problem: 123 : 36 : : 221 : ? 
Options: a ) 52 , b ) 69 , c ) 72 , d ) 25 , e ) 32
Answer: d
Input: Problem: a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 10 per item . if the manufacturer ’ s selling price per item is $ 15 , how many items the manufacturer produce and sell to earn an annual profit of $ 150,000 ? 
Options: a ) 2,858 , b ) 18,667 , c ) 21,429 , d ) 35,000 , e ) 56,000
Answer: e
Input: Problem: solve the equation 2 – x = 2 b – 2 ax , where a and b are real parameters . find for which values of a the equation has for solution a natural number , if b = 7 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: b
Input: Problem: 90 % of the population of a village is 36000 . the total population of the village is ? 
Options: a ) 26799 , b ) 24000 , c ) 26682 , d ) 29973 , e ) 40000
Answer: e
Input: Problem: a car travels first 160 km at 75 km / hr and the next 160 km at 70 km / hr . what is the average speed for the first 320 km of the tour ? 
Options: a ) 71.11 , b ) 71.12 , c ) 72.4 , d ) 71.17 , e ) 71.13
Answer: c
Input: Problem: there are 134 toys coloured red and white in a box . two red toys are removed from the lot and now there are twice as many red ones as white ones . how many of red colour toys are there now ? 
Options: a ) 76 , b ) 86 , c ) 90 , d ) 88 , e ) 78
Answer: d
Input: Problem: what number should replace the question mark ? 11 , 15 , 16 , 12 , 21 , 9 , - - - ? 
Options: a ) 21 , b ) 29 , c ) 28 , d ) 27 , e ) 26
Answer: e
Input: Problem: we have boxes colored either red or blue . in each blue box there is a fixed number of blueberries . in each red box there is a fixed number of strawberries . if we dispose of one blue box for one additional red box , the total number of berries would increase by 10 , and the difference between the total number of strawberries and the total number of blueberries would increase by 50 . each blue box contains how many blueberries ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Answer: c
Input: Problem: what is the sum of the digits of integer k , if k = ( 10 ^ 30 - 36 ) 
Options: a ) 251 , b ) 260 , c ) 263 , d ) 269 , e ) 262
Answer: e
Input: Problem: if k is an integer and 0.00010101 x 10 ^ k is greater than 10 , what is the least possible value of k ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: c
Input: Problem: solve x 2 – 3 x – 4 = 0 . 
Options: a ) 1,4 , b ) - 1,4 , c ) 2,3 , d ) 2 , - 3 , e ) 3,4
Answer: b
Input: Problem: john has $ 1,200 at the beginning of his trip , after spending money , he still has exactly $ 800 less than he spent on the trip . how much money does john still have ? 
Options: a ) $ 200 , b ) $ 400 , c ) $ 600 , d ) $ 800 , e ) $ 1,200
Answer: a
Input: Problem: how many multiples of 8 are less than 1600 , and also multiples of 64 ? 
Options: a ) 25 , b ) 28 , c ) 62 , d ) 83 , e ) 89
Answer: a
Input: Problem: the average of the marks of 30 students in a class is 45 . if the marks of each student are doubled , find the new average ? 
Options: a ) 85 , b ) 77 , c ) 33 , d ) 90 , e ) 75
Answer: d
Input: Problem: how many zeroes are there at the end of the number n , if n = 60 ! + 120 ! ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Answer: b
Input: Problem: if a person walks at 14 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance travelled by him is : 
Options: a ) 50 km , b ) 56 km , c ) 70 km , d ) 80 km , e ) 46 km
Answer: a
Input: Problem: ratio of two numbers x and y is 3 : 7 . if x is increased by 50 % and y is increased by 2 then the new ratio becomes 1 : 2 . what is the ratio 2 y : ( 2 x + 6 ) 
Options: a ) 16 : 15 , b ) 4 : 5 , c ) 7 : 12 , d ) 4 : 9 , e ) 6 : 5
Answer: c
Input: Problem: evaluate : 60 - 9 ÷ 3 × 6 = 
Options: a ) 52 , b ) 18 , c ) 42 , d ) 102 , e ) 36
Answer: c
Input: Problem: a certain class of students is being divided into teams . the class can either be divided into 16 teams with an equal number of players on each team or 24 teams with an equal number of players on each team . what is the lowest possible number of students in the class ? 
Options: a ) 6 , b ) 36 , c ) 48 , d ) 60 , e ) 72
Answer: c
Input: Problem: if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 74 , what is the value of a ? 
Options: a ) 25 , b ) 30 , c ) 28 , d ) 36 , e ) 42
Answer: c
Input: Problem: the average age of applicants for a new job is 30 , with a standard deviation of 7 . 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 ) 8 , b ) 14 , c ) 15 , d ) 18 , e ) 30
Answer: c
Input: Problem: what is the sum of all even numbers from 1 to 701 ? 
Options: a ) 122821 , b ) 281228 , c ) 281199 , d ) 122850 , e ) 128111
Answer: d
Input: Problem: a number is doubled and 5 is added . if the resultant is trebled , it becomes 105 . what is that number ? 
Options: a ) 12 , b ) 29 , c ) 27 , d ) 15 , e ) 99
Answer: d
Input: Problem: a rope of which a calf is tied is increased from 12 m to 25 m , how much additional grassy ground shall it graze ? 
Options: a ) 1400 , b ) 141.71 , c ) 1210 , d ) 1511.71 , e ) 1500
Answer: d
Input: Problem: in township k each property is taxed at 10 percent of its assessed value . if the assessed value of a property in township k is increased from $ 20,000 to $ 28,000 , by how much will the property tax increase ? 
Options: a ) $ 800 , b ) $ 1000 , c ) $ 600 , d ) $ 400 , e ) $ 500
Answer: a
Input: Problem: on a race track a maximum of 5 horses can race together at a time . there are a total of 25 horses . there is no way of timing the races . what is the minimum number y of races we need to conduct to get the top 3 fastest horses ? 
Options: a ) 5 , b ) 7 , c ) 8 , d ) 10 , e ) 11
Answer: b
Input: Problem: ramu rides his bike at an average speed of 45 km / hr and reaches his desitination in 4 hours . somu covers the same distance in 6 hours . if ramu covered his journey at an average speed which was 9 km / hr less and somu covered his journey at an average speed which was 10 km / hr more , then the difference in their times taken to reach the destination would be ( in minutes ) . 
Options: a ) 23 minutes , b ) 30 minutes , c ) 43 minutes , d ) 23 minutes , e ) 33 minutes
Answer: b
Input: Problem: find the smallest positive integer n such that 11 n - 1 is divisible by 105 . 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: d
Input: Problem: in δ pqs above , if pq = 7 and ps = 8 , then 
Options: a ) 9 / 4 , b ) 12 / 5 , c ) 56 / 9 , d ) 15 / 4 , e ) 20 / 3
Answer: c
Input: Problem: a student took 6 courses last year and received an average ( arithmetic mean ) grade of 100 points . the year before , the student took 5 courses and received an average grade of 40 points . to the nearest tenth of a point , what was the student ’ s average grade for the entire two - year period ? 
Options: a ) 79 , b ) 89 , c ) 95 , d ) 72.72 , e ) 97.2
Answer: d
Input: Problem: 7 people went to a restaurant for dinner . 6 of them spent $ 11 each on their meals and the seventh person spent $ 6 more than the average expenditure of all 7 people . what was the total amount of money that the 7 people spent ? 
Options: a ) $ 80 , b ) $ 81 , c ) $ 82 , d ) $ 83 , e ) $ 84
Answer: e
Input: Problem: what is the greatest 6 - digit number when divided by 6 , 7 , 8 , 9 , and 10 leaves a remainder of 3 , 4 , 5 , 6 and 7 respectively ? 
Options: a ) 456780 , b ) 678910 , c ) 997479 , d ) 997917 , e ) 997920
Answer: d
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 h of the mean , what percent of the distribution is less than m + h ? 
Options: a ) 16 % , b ) 32 % , c ) 48 % , d ) 84 % , e ) 92 %
Answer: d
Input: Problem: a batsman makes a score of 92 runs in the 17 th inning and thus increases his average by 3 . find his average after 17 th inning . 
Options: a ) 36 , b ) 39 , c ) 42 , d ) 44 , e ) none of the above
Answer: d
Input: Problem: after spending rs . 5000 on rent , rs . 1500 on milk , rs . 4500 on groceries , rs . 2500 on childrens education rs . 2000 on petrol and rs . 3940 on miscellaneous expenses , mr . kishore saved 10 % of his monthly salary . how much did he save in rs . ? 
Options: a ) 2160 , b ) 2350 , c ) 2000 , d ) 2300 , e ) none of these
Answer: a
Input: Problem: 4 milkmen rented a pasture . a grazed 24 cows for 3 months ; b 10 for 5 months ; c 35 cows for 4 months and d 21 cows for 3 months . if a ' s share of rent is rs . 1440 , find the total rent of the field . 
Options: a ) 6500 , b ) 3550 , c ) 4250 , d ) 2250 , e ) 3250
Answer: a
Input: Problem: for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 3,675 , what is the least possible value of k ? 
Options: a ) 12 , b ) 14 , c ) 15 , d ) 21 , e ) 25
Answer: b
Input: Problem: the guests at a football banquet consumed a total of 319 pounds of food . if no individual guest consumed more than 2 pounds of food , what is the minimum number of guests that could have attended the banquet ? 
Options: a ) 160 , b ) 161 , c ) 162 , d ) 163 , e ) 164
Answer: a
Input: Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 200 , what were her original savings ? 
Options: a ) $ 500 , b ) $ 600 , c ) $ 700 , d ) $ 800 , e ) $ 900
Answer: d
Input: Problem: half a number plus 7 is 11 . what is the number ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Answer: a
Input: Problem: find the average of all prime numbers between 1 and 5 . 
Options: a ) 30 , b ) 3.6 , c ) 5.6 , d ) 6.6 , e ) none
Answer: c
Input: Problem: what is the smallest integer that satisfies the inequality ( ( x - 3 ) / ( x ^ 2 - 8 x - 20 ) ) > 0 ? 
Options: a ) - 2 , b ) 10 , c ) - 1 , d ) 3 , e ) 0
Answer: c
Input: Problem: a batsman makes a score of 87 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 ) 39 , d ) 49 , e ) 59
Answer: c
Input: Problem: if a ' s salary is 20 % less than b ' s salary , by how much percent is b ' s salary more than a ' s ? 
Options: a ) 5 % , b ) 10 % , c ) 15 % , d ) 25 % , e ) none
Answer: d
Input: Problem: the average speed of a car is 1 4 / 5 times the avg speed of a bike . a tractor covers 575 km in 23 hrs . how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor ? 
Options: a ) 300 km , b ) 320 km , c ) 360 km , d ) 390 km , e ) 400 km
Answer: c
Input: Problem: if a ã — b = 2 a - 3 b + ab , then 3 ã — 2 + 2 ã — 3 is equal to : 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 25 , e ) 26
Answer: a
Input: Problem: there are two numbers . if 50 % of the first number is added to the second number , then the second number increases to its 5 - fourth . find the ratio of the first number to the second number ? 
Options: a ) a ) 1 / 2 , b ) b ) 5 / 8 , c ) c ) 6 , d ) d ) 6 / 7 , e ) e ) 7
Answer: a
Input: Problem: each week , harry is paid x dollars per hour for the first 21 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ? 
Options: a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 39
Answer: a
Input: Problem: set a contains all the even numbers between 32 and 80 inclusive . set b contains all the even numbers between 62 and 110 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? 
Options: a ) 450 , b ) 550 , c ) 650 , d ) 750 , e ) 850
Answer: d
Input: Problem: a = { 0 , 1 , - 3 , 6 , - 8 } b = { - 1 , 2 , - 4 , 7 } if a is a number that is randomly selected from set a , and b is a number that is randomly selected from set b , what is the probability that ab > 0 ? 
Options: a ) 1 / 4 , b ) 1 / 3 , c ) 2 / 5 , d ) 4 / 9 , e ) 1 / 2
Answer: c
Input: Problem: a batsman scored 90 runs which included 2 boundaries and 7 sixes . what percent of his total score did he make by running between the wickets . 
Options: a ) 30 % , b ) 40 % , c ) 44.44 % , d ) 60 % , e ) 80 %
Answer: c
Input: Problem: a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 35 adults have their meal , find the total number of children that can be catered with the remaining food . 
Options: a ) 33 , b ) 54 , c ) 18 , d ) 45 , e ) 01
Answer: d
Input: Problem: if the price of a certain bond on may 1 st was 1 / 4 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 ) 100 % , b ) 150 % , c ) 155 % , d ) 300 % , e ) 355 %
Answer: e
Input: Problem: a , b , c subscribe rs . 50,000 for a business . a subscribes rs . 4000 more than b and b rs . 5000 more than c . out of a total profit of rs . 35,000 , b receives : 
Options: a ) s . 11,000 , b ) s . 11,300 , c ) s . 11,500 , d ) s . 11,700 , e ) s . 11,900
Answer: e
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 35 % 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 ) 35 % , e ) can not be determined
Answer: d
Input: Problem: of the 3 - digit integers greater than 700 , how many have two digits t that are equal to each other and the remaining digit different from the other two ? 
Options: a ) 90 , b ) 82 , c ) 80 , d ) 45 , e ) 36
Answer: c
Input: Problem: a number exceeds by 35 from its 3 / 8 part . then the number is ? 
Options: a ) a ) 56 , b ) b ) 35 , c ) c ) 39 , d ) d ) 40 , e ) e ) 45
Answer: a