Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: how many integers between 500 and 1000 are there such that their unit digit is even ? 
Options: a ) 250 , b ) 150 , c ) 500 , d ) 100 , e ) 200
Answer: a
Input: Problem: the tax on a commodity is diminished by 40 % but its consumption is increased by 25 % . find the decrease percent in the revenue derived from it ? 
Options: a ) 18 % , b ) 72 % , c ) 25 % , d ) 12 % , e ) 52 %
Answer: c
Input: Problem: one week , a certain truck rental lot had a total of 20 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 16 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 ) 14 , e ) 8
Answer: e
Input: Problem: 40 liters of a mixture is created by mixing liquid p and liquid q in the ratio 5 : 3 . how many liters of liquid q must be added to make the ratio 5 : 6 ? 
Options: a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15
Answer: e
Input: Problem: half a number plus 5 is 13 . what is the number ? 
Options: a ) 8 , b ) 16 , c ) 10 , d ) 11 , e ) 12
Answer: b
Input: Problem: if ( 2 ^ 17 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ? 
Options: a ) 7 , b ) 8 , c ) 15 , d ) 16 , e ) 17
Answer: e
Input: Problem: the value of x . 320 ã · 2 ã · 3 = x 
Options: a ) 53.33 , b ) 46.33 , c ) 15.36 , d ) 15.45 , e ) 15.48
Answer: a
Input: Problem: of 70 players on a football team , 52 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? 
Options: a ) 54 , b ) 59 , c ) 63 , d ) 64 , e ) 92
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 . 6100 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 ) 2400
Answer: e
Input: Problem: if rs . 527 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ? 
Options: a ) s . 300 , b ) s . 360 , c ) s . 389 , d ) s . 368 , e ) s . 372
Answer: e
Input: Problem: when a random experiment is conducted , the probability that event a occurs is 1 / 5 . if the random experiment is conducted 4 independent times , what is the probability that event a occurs exactly twice ? 
Options: a ) 16 / 625 , b ) 56 / 625 , c ) 96 / 625 , d ) 126 / 625 , e ) 156 / 625
Answer: c
Input: Problem: a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 210 , then how much amount should c pay as his share of rent ? 
Options: a ) 54 , b ) 45 , c ) 25 , d ) 15 , e ) 55
Answer: a
Input: Problem: for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.267 ] = 1 and [ 1.999 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ? 
Options: a ) 0 , b ) 0 , c ) 27 , d ) 54 , e ) can not be determined
Answer: b
Input: Problem: what is the total number of positive integers that are less than 500 and that have no positive factor in common with 500 other than 1 ? 
Options: a ) 50 , b ) 100 , c ) 200 , d ) 300 , e ) 400
Answer: c
Input: Problem: the average of 15 numbers is 75 . average of the first 8 of them is 68 and that of the last 8.00001 is 77 . find the 8.000001 th number ? 
Options: a ) 51 , b ) 87 , c ) 35 , d ) 75 , e ) 68
Answer: c
Input: Problem: a car traveled 75 % of the way from town a to town b at an average speed of 75 mph . the car traveled at an average speed of v mph for the remaining part of the trip . the average speed for the entire trip was 50 mph . what is v in mph ? 
Options: a ) 30 , b ) 35 , c ) 25 , d ) 40 , e ) 45
Answer: c
Input: Problem: the average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? 
Options: a ) 75 kg , b ) 65 kg , c ) 55 kg , d ) 85 kg , e ) 105 kg
Answer: e
Input: Problem: find the average of all the numbers between 6 and 34 which is divisible by 5 
Options: a ) 15 , b ) 18 , c ) 13 , d ) 19 , e ) 20
Answer: e
Input: Problem: a lemonade stand sold only small and large cups of lemonade on tuesday . 3 / 5 of the cups sold were small and the rest were large . if the large cups were sold for 5 / 6 as much as the small cups , what fraction of tuesday ' s total revenue was from the sale of large cups ? 
Options: a ) 7 / 16 , b ) 7 / 15 , c ) 10 / 21 , d ) 17 / 35 , e ) 5 / 14
Answer: e
Input: Problem: in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 22 to the thrice of the remainder . the dividend is 
Options: a ) 74 , b ) 166 , c ) 86 , d ) 92 , e ) 98
Answer: b
Input: Problem: a cricket player whose bowling average was 21.5 runs per wicket , takes 5 wicket for 52 runs in a match . due to this his average decreases by 0.5 . what will be the number of wickets taken by him till the last match ? 
Options: a ) 64 , b ) 72 , c ) 111 , d ) 721 , e ) 108
Answer: c
Input: Problem: if 10,000 microns = 1 decimeter , and 10,000 , 000,000 angstroms = 1 decimeter , how many angstroms equal 1 micron ? 
Options: a ) 0.01 , b ) 1 , 000,000 , c ) 0.001 , d ) 1,000 , e ) 1.0 e - 05
Answer: b
Input: Problem: the population of a town increased from 1 , 75,000 to 2 , 80,000 in a decade . the average percent increase of population per year is 
Options: a ) 4.37 % , b ) 5 % , c ) 6 % , d ) 8.75 % , e ) none
Answer: c
Input: Problem: running at their respective constant rates , machine x takes 2 days longer to produce w widgets than machine y . at these rates , if the two machines together produce 5 / 4 w widgets in 3 days , how many days would it take machine x alone to produce 4 w widgets ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 24 , e ) 12
Answer: d
Input: Problem: a heap of grapes is divided into groups of 3 , 5 and 7 and each time one coconut is left over . the least number of grapes in the heap is ? a . 31 b . 41 c . 51 d . 61 
Options: a ) a ) 31 , b ) b ) 41 , c ) c ) 106 , d ) d ) 61 , e ) e ) 71
Answer: c
Input: Problem: kiran has 85 currency notes in all , some of which were of rs . 100 denomination and the remaining of rs . 50 denomination . the total amount of all these currency notes was rs . 5000 . how much amount did she have in the denomination of rs . 50 ? 
Options: a ) 1900 , b ) 3500 , c ) 4000 , d ) 4200 , e ) 4450
Answer: b
Input: Problem: what is the dividend . divisor 19 , the quotient is 9 and the remainder is 5 ? 
Options: a ) a ) 130 , b ) b ) 134 , c ) c ) 148 , d ) d ) 176 , e ) e ) 160
Answer: d
Input: Problem: a 80 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 ) 20 , b ) 12 , c ) 13 , d ) 14 , e ) 16
Answer: a
Input: Problem: a student chose a number , multiplied it by 8 , then subtracted 138 from the result and got 102 . what was the number he chose ? 
Options: a ) 30 , b ) 120 , c ) 130 , d ) 140 , e ) 150
Answer: a
Input: Problem: a certain elevator has a safe weight limit of 2,500 pounds . what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 150 pounds and the average weight of the others being 160 pounds ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 16
Answer: e
Input: Problem: a container has 40 l milk . 4 l milk is taken out and replaced with water , the process done 3 times . what is the amount of milk now left ? 
Options: a ) 29.16 l , b ) 29.19 l , c ) 29.12 l , d ) 29.11 l , e ) 29.14 l
Answer: a
Input: Problem: the price of 3 chudi and 6 tops is rs . 1500 . with the same money one can buy 1 chudi and 12 tops . if one wants to buy 5 tops , how much shall she have to pay ? 
Options: a ) 500 , b ) 1000 , c ) 1200 , d ) 1300 , e ) 1500
Answer: a
Input: Problem: one pack of cake mix is being stirred before being poured into two separate baking trays . the first tray can hold a certain amount of cups of the mix while the other holds 20 cups less than the first . if the total number of cups poured is 500 , how many cups of batter does the second tray hold ? 
Options: a ) 250 , b ) 260 , c ) 500 , d ) 280 , e ) 240
Answer: e
Input: Problem: find ( 7 x + 5 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ? 
Options: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 29
Answer: c
Input: Problem: if the sum of the first n positive integers is s , what is the sum of the first n negative even integers , in terms of s ? 
Options: a ) s / 2 , b ) s , c ) 2 s , d ) 2 s + 2 , e ) 4 s
Answer: c
Input: Problem: in expressing a length of 61.472 km as nearly as possible with the 3 significant digits , find the percentage error ? 
Options: a ) 0.35 % , b ) 0.4 % , c ) 0.045 % , d ) 0.6 % , e ) none of these
Answer: c
Input: Problem: if the price of petrol increases by 30 , by how much must a user cut down his consumption so that his expenditure on petrol remains constant ? 
Options: a ) 25 % , b ) 23 % , c ) 16.67 % , d ) 33.33 % , e ) none of these
Answer: b
Input: Problem: ( 0.0048 ) ( 3.5 ) / ( 0.05 ) ( 0.1 ) ( 0.004 ) = 
Options: a ) 8.4 , b ) 840 , c ) 84.0 , d ) 0.84 , e ) 0.084
Answer: b
Input: Problem: the average weight of a group of 30 friends increases by 10 kg when the weight of additional 30 friends was added . if average weight of the whole group after including the additional 30 members is 40 kg , what is the average weight of the additional friends ? 
Options: a ) 50 kg , b ) 60 kg , c ) 61 kg , d ) 62 kg , e ) 91 kg
Answer: a
Input: Problem: if n is a positive integer , what is the remainder when ( 6 ^ ( 4 n + 3 ) ) ( 6 ^ n ) is divided by 10 ? 
Options: a ) 7 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Answer: a
Input: Problem: an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 18522 / - in 3 years at the same rate of interest . find the rate percentage ? 
Options: a ) 5 % , b ) 6 % , c ) 7 % , d ) 8 % , e ) 9 %
Answer: a
Input: Problem: of the five - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ? 
Options: a ) 24440 , b ) 36440 , c ) 72440 , d ) 181440 , e ) 216440
Answer: d
Input: Problem: how many of the positive divisors of 360 are also multiples of 4 not including 360 ? 
Options: a ) 8 , b ) 11 , c ) 12 , d ) 15 , e ) 16
Answer: b
Input: Problem: in a hostel , the number of students decreased by 5 % and the price of food increased by 20 % over the previous year . if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student , so that the total cost of the food remains the same as that of the previous year ? 
Options: a ) 19 % , b ) 12.3 % , c ) 25 % , d ) 40 % , e ) 9.4 %
Answer: b
Input: Problem: if john makes a contribution to a charity fund at school , the average contribution size will increase by 50 % reaching $ 75 per person . if there were 4 other contributions made before john ' s , what is the size of his donation ? 
Options: a ) $ 100 , b ) $ 175 , c ) $ 200 , d ) $ 250 , e ) $ 450
Answer: b
Input: Problem: the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 25 percent of a , and m equals b decreased by 20 percent of b , what is the value of m / x ? 
Options: a ) 2 / 5 , b ) 3 / 4 , c ) 4 / 5 , d ) 5 / 4 , e ) 3 / 2
Answer: c
Input: Problem: if p and q are prime numbers , how many divisors does the product p ^ 3 * q ^ 6 have ? 
Options: a ) 9 , b ) 12 , c ) 18 , d ) 28 , e ) 363
Answer: d
Input: Problem: a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 15 days starting with sunday is 
Options: a ) 280 , b ) 285 , c ) 290 , d ) 295 , e ) 570
Answer: e
Input: Problem: 3034 - ( 1002 / 20.04 ) = ? 
Options: a ) 2984 , b ) 2983 , c ) 2982 , d ) 2981 , e ) none of these
Answer: a
Input: Problem: all the milk in container a which was filled to its brim was poured into two containers b and c . the quantity of milk in container b was 62.5 % less than the capacity of container a . if 156 liters was now transferred from c to b , then both the containers would have equal quantities of milk . what was the initial quantity of milk in container a ? 
Options: a ) 1248 , b ) 1723 , c ) 1129 , d ) 2613 , e ) 1372
Answer: a
Input: Problem: what least number must be subtracted from 13294 so that the remainder is exactly divisible by 97 ? 
Options: a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 10
Answer: b
Input: Problem: 5355 x 51 = ? 
Options: a ) 273105 , b ) 273243 , c ) 273247 , d ) 273250 , e ) 273258
Answer: a
Input: Problem: how many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language ? 
Options: a ) 321 , b ) 65 , c ) 120 , d ) 100 , e ) 80
Answer: d
Input: Problem: if p = 775 × 778 × 781 , what is the remainder when p is divided by 14 ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: a
Input: Problem: if the median of a list of numbers is m , the first quartile of the list is the median of the numbers in the list that are less than m . what is the first quartile of the list of numbers 42 , 24 , 30 , 22 , 26 , 27 , 33 and 35 ? 
Options: a ) 33 , b ) 28 , c ) 27 , d ) 24 , e ) 25
Answer: e
Input: Problem: joe went on a diet 4 months ago when he weighed 212 pounds . if he now weighs 188 pounds and continues to lose at the same average monthly rate , in approximately how many months will he weigh 160 pounds ? 
Options: a ) 3 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 5
Answer: d
Input: Problem: the element being searched for is not found in an array of 100 elements . what is the average number of comparisons needed in a sequential search to determine that the element is not there , if the elements are completely unordered ? 
Options: a ) 25 , b ) 50 , c ) 75 , d ) 100 , e ) 125
Answer: d
Input: Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 8.50 per hour , how much less than a manager does a chef earn each hour ? 
Options: a ) $ 1.40 , b ) $ 2.40 , c ) $ 3.40 , d ) $ 4.40 , e ) $ 5.40
Answer: c
Input: Problem: in a certain deck of cards , each card has a positive integer written on it , in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer . if the each possible product is between 10 and 400 , then the least and greatest integer on the card would be 
Options: a ) 3 and 15 , b ) 3 and 20 , c ) 4 and 13 , d ) 4 and 14 , e ) 5 and 14
Answer: b
Input: Problem: the value of 3.6 x 0.48 x 2.50 / 0.12 x 0.09 x 0.5 is 
Options: a ) 80 , b ) 800 , c ) 8000 , d ) 80000 , e ) none of these
Answer: b
Input: Problem: if 15 students in a class average 75 % on an exam and 10 students average 95 % on the same exam , what is the average in percent for all 25 students ? 
Options: a ) 81 % , b ) 82 % , c ) 83 % , d ) 84 % , e ) 85 %
Answer: c
Input: Problem: if a computer program generates 3 - digit odd numbers using the numbers 9 , 7 , 0 , 8 , and 1 , and the digits can be repeated , what is the probability that the number formed from the program is a multiple of 3 ? 
Options: a ) 1 / 3 , b ) 1 / 4 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 7
Answer: a
Input: Problem: the average of 5 numbers is 6.8 . if one of the numbers is multiplied by a factor of 2 , the average of the numbers increases to 9.2 . what number is multiplied by 2 ? 
Options: a ) 12.0 , b ) 30.0 , c ) 30.9 , d ) 40.0 , e ) 60.0
Answer: a
Input: Problem: what is the decimal equivalent of ( 1 / 4 ) ^ 4 ? 
Options: a ) 0.0039 , b ) 0.0625 , c ) 0.16 , d ) 0.25 , e ) 0.5
Answer: a
Input: Problem: a grocer has a sale of rs . 6400 , rs . 7000 , rs . 6800 , rs . 7200 and rs . 6500 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 ) rs . 4500 , b ) rs . 4700 , c ) rs . 4800 , d ) rs . 5000 , e ) rs . 5100
Answer: e
Input: Problem: the average weight of a class is x pounds . when a new student weighing 100 pounds joins the class , the average decreases by 1 pound . in a few months the student ’ s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds . none of the other students ’ weights changed . what is the value of x ? 
Options: a ) 85 , b ) 86 , c ) 88 , d ) 90 , e ) 92
Answer: e
Input: Problem: one half of a two digit number exceeds its one third by 4 . what is the sum of the digits of the number ? 
Options: a ) 6 , b ) 9 , c ) 11 , d ) 12 , e ) 15
Answer: a
Input: Problem: if x and y are integers such that x ^ 2 = 3 y and xy = 36 , then x – y = ? 
Options: a ) - 30 , b ) - 20 , c ) - 5 , d ) 5 , e ) 0
Answer: e
Input: Problem: if 20 % of ( x - y ) = 15 % of ( x + y ) , then what percent of x is y ? 
Options: a ) 50.5 % , b ) 44.4 % , c ) 22.2 % , d ) 14.3 % , e ) 25 %
Answer: d
Input: Problem: village x has a population of 72000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? 
Options: a ) 15 , b ) 19 , c ) 11 , d ) 18 , e ) 13
Answer: a
Input: Problem: by approximately what percent is x greater than 2 / 5 if ( 3 / 5 ) ( x ) = 1 ? 
Options: a ) 723 % , b ) 156 % , c ) 316 % , d ) 37 % , e ) 29 %
Answer: c
Input: Problem: if the price of sugar rises from rs . 2 per kg to rs . 5 per kg , a person , to have no increase in the expenditure on sugar , will have to reduce his consumption of sugar by 
Options: a ) 15 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) 60 %
Answer: e
Input: Problem: 0 , 1 , 4 , 15 , 64 , ____ 
Options: a ) 225 , b ) 325 , c ) 125 , d ) 145 , e ) none
Answer: b
Input: Problem: on dividing a number by 357 , we get 42 as remainder . on dividing the same number by 17 , what will be the remainder ? 
Options: a ) 4 , b ) 5 , c ) 8 , d ) 7 , e ) 2
Answer: c
Input: Problem: a rower whose speed is 8 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 4 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: b
Input: Problem: in a forest 120 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ? 
Options: a ) 1,200 , b ) 750 , c ) 1,250 , d ) 1,500 , e ) 2,500
Answer: a
Input: Problem: the price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980 . if its price of $ 1.20 in 1970 was 150 percent of its price in 1960 , what was its price in 1980 ? 
Options: a ) $ 1.80 , b ) $ 2.00 , c ) $ 2.40 , d ) $ 2.70 , e ) $ 3.00
Answer: a
Input: Problem: the mean of 30 values was 140 . it was detected on rechecking that one value 145 was wrongly copied as 135 for the computation of the mean . find the correct mean . 
Options: a ) 151 , b ) 140.33 , c ) 152 , d ) 148 , e ) none of the above
Answer: b
Input: Problem: 5 drainage pipes , each draining water from a pool at the same constant rate , together can drain a certain pool in 16 days . how many additional pipes , each draining water at the same constant rate , will be needed to drain the pool in 4 days ? 
Options: a ) 6 , b ) 9 , c ) 10 , d ) 12 , e ) 15
Answer: e
Input: Problem: 5 men are equal to as many women as are equal to 7 boys . all of them earn rs . 90 only . men ’ s wages are ? 
Options: a ) 8 rs . , b ) 7 rs . , c ) 6 rs . , d ) 4 rs . , e ) 5 rs .
Answer: c
Input: Problem: the cost to park a car in a certain parking garage is $ 12.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours . what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours ? 
Options: a ) $ 1.09 , b ) $ 2.69 , c ) $ 2.25 , d ) $ 2.37 , e ) $ 2.50
Answer: b
Input: Problem: country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 9 % . if ron imported a $ 18,000 imported car and ended up paying $ 1950 in taxes , what is the first tier ' s price level ? 
Options: a ) $ 11500 , b ) $ 11000 , c ) $ 12000 , d ) $ 12100 , e ) $ 12500
Answer: b
Input: Problem: the events a and b are independent , the probability that event a occurs is greater than 0 , and the probability that event a occurs is twice the probability that event b occurs . the probability that at least one of events a and b occurs is 12 times the probability that both events a and b occur . what is the probability that event a occurs ? 
Options: a ) 21 / 26 , b ) 25 / 26 , c ) 11 / 26 , d ) 6 / 26 , e ) 22 / 33
Answer: d
Input: Problem: a grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches . if the measurement of each soap box is 7 inches by 6 inches by 6 inches , then what is the maximum number of soap boxes that can be placed in each carton ? 
Options: a ) 210 , b ) 252 , c ) 250 , d ) 300 , e ) 420
Answer: c
Input: Problem: if the price of a tv is first decreased by 20 % and then increased by 45 % , then the net change in the price will be : 
Options: a ) 4 % increase , b ) 10 % increase , c ) 10 % decrease , d ) 16 % increase , e ) none of these
Answer: d
Input: Problem: the area of one square is x ^ 2 + 10 x + 25 and the area of another square is 4 x ^ 2 − 20 x + 25 . if the sum of the perimeters of both squares is 36 , what is the value of x ? 
Options: a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 11
Answer: a
Input: Problem: two heavily loaded sixteen - wheeler transport trucks are 787 kilometers apart , sitting at two rest stops on opposite sides of the same highway . driver a begins heading down the highway driving at an average speed of 90 kilometers per hour . exactly one hour later , driver b starts down the highway toward driver a , maintaining an average speed of 80 kilometers per hour . how many kilometers farther than driver b , will driver a have driven when they meet and pass each other on the highway ? 
Options: a ) 90 , b ) 131 , c ) 150 , d ) 320 , e ) 450
Answer: b
Input: Problem: 1 / 3 of girls , 1 / 2 of boys go to canteen . what factor and total number of classmates go to canteen . 
Options: a ) 1 / 5 , b ) 1 / 4 , c ) 1 / 3 , d ) 2 / 5 , e ) 2 / 3
Answer: d
Input: Problem: the largest natural number which exactly divides the product of any 4 consecutive natural numbers is 
Options: a ) 6 , b ) 12 , c ) 24 , d ) 120 , e ) none
Answer: c
Input: Problem: ( x ) + 9088 + 1090 - 9156 = 19845 . calculate the value of x 
Options: a ) 11123 , b ) 18153 , c ) 11282 , d ) 18825 , e ) 18823
Answer: e
Input: Problem: boys and girls in a class are writing letters . there are twice as many girls as boys in the class , and each girl writes 3 more letters than each boy . if boys write 24 of the 90 total letters written by the class , how many letters does each boy write ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Answer: d
Input: Problem: if | x + 10 | = 10 what is the sum of all the values of x . 
Options: a ) 20 , b ) 40 , c ) - 20 , d ) 0 , e ) - 40
Answer: c
Input: Problem: find the number of factors of 180 that are in the form ( 4 * k + 2 ) , where k is a non - negative integer ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 6
Answer: e
Input: Problem: if 0.75 : x : : 5 : 7 , then x is equal to : 
Options: a ) 1.05 , b ) 1.16 , c ) 1.2 , d ) 1.3 , e ) none of these
Answer: a
Input: Problem: what least number should be added to 1052 , so that the sum is completely divisible by 23 
Options: a ) a ) 4 , b ) b ) 1 , c ) c ) 6 , d ) d ) 3 , e ) e ) 5
Answer: c
Input: Problem: a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 56 , find the sum of money ? 
Options: a ) 288 , b ) 287 , c ) 72 , d ) 205 , e ) 267
Answer: b
Input: Problem: in a group of cows and chickens , the number of legs was 18 more than twice the number of heads . the number of cows was : 
Options: a ) 5 , b ) 7 , c ) 9 , d ) 12 , e ) 14
Answer: c
Input: Problem: a mixture contains milk and water in the ratio 3 : 2 . on adding 10 litters of water , the ratio of milk to water becomes 2 : 3 . total quantity of milk & water before adding water to it ? 
Options: a ) 10 , b ) 30 , c ) 50 , d ) 20 , e ) 30
Answer: d
Input: Problem: if there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 30 % of the total . what fraction of the total is men who own cars ? 
Options: a ) 3 ⁄ 20 , b ) 31 ⁄ 60 , c ) 9 ⁄ 40 , d ) 1 ⁄ 3 , e ) 11 ⁄ 20
Answer: b
Input: Problem: how many integers between 314,700 and 458,600 have tens digit 1 and units digit 3 ? 
Options: a ) 10,300 , b ) 10,030 , c ) 1,353 , d ) 1,352 , e ) 1,439
Answer: e
Input: Problem: we run a business that rents out canoes and kayaks . a canoe rental costs $ 11 per day , and a kayak rental costs $ 16 dollars per day . one day , our business rents out 4 canoes for every 3 kayaks and receives a total of $ 460 in revenue . how many more canoes than kayaks were rented out ? 
Options: a ) 8 , b ) 7 , c ) 6 , d ) 5 , e ) 4
Answer: d
Input: Problem: jerry and michelle play a card game . in the beginning of the game they have an equal number of cards . each player , at her turn , gives the other a third of her cards . michelle plays first , giving jerry a third of her cards . jerry plays next , and michelle follows . then the game ends . jerry ended up with 28 more cards than michelle . how many cards did each player have originally ? 
Options: a ) 51 , b ) 52 , c ) 53 , d ) 54 , e ) 56
Answer: d
Input: Problem: 8 people decided to split the restaurant bill evenly . if the bill was $ 214.18 dollars , how much money did they 1 cent is the smallest unit ? 
Options: a ) $ 214.16 , b ) $ 214.17 , c ) $ 214.18 , d ) $ 214.19 , e ) $ 214.24
Answer: e
Input: Problem: in a mixture 60 litres , the ratio of milk and water 2 : 1 . if this ratio is to be 1 : 2 , then the quanity of water to be further added is : 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60
Answer: e
Input: Problem: in a forest 170 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ? 
Options: a ) 150 , b ) 750 , c ) 1,250 , d ) 1,700 , e ) 2,500
Answer: d
Input: Problem: john want to buy a $ 100 trouser at the store , but he think it ’ s too expensive . finally , it goes on sale for $ 20 . what is the percent decrease ? 
Options: a ) 20 % , b ) 30 % , c ) 40 % , d ) 70 % , e ) 80 %
Answer: e
Input: Problem: a big container is 35 % full with water . if 48 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container in liters ? 
Options: a ) 80 , b ) 90 , c ) 100 , d ) 110 , e ) 120
Answer: e
Input: Problem: what is the sum of the first 23 natural numbers ( starting from 1 ) ? 
Options: a ) 256 , b ) 266 , c ) 276 , d ) 286 , e ) 296
Answer: c
Input: Problem: solve below question 2 x + 1 = - 11 
Options: a ) - 8 , b ) - 6 , c ) 9 , d ) 8 , e ) - 7
Answer: b
Input: Problem: the avg age of an adult class is 40 years . 12 new students with an avg age of 32 years join the class . therefore decreasingthe avg by 4 year . find what was the original strength of class ? 
Options: a ) 8 , b ) 12 , c ) 15 , d ) 16 , e ) 19
Answer: b
Input: Problem: 15.06 * 0.0001 = ? 
Options: a ) 15060000 , b ) 0.001506 , c ) 0.01506 , d ) 0.1506 , e ) none of these
Answer: b
Input: Problem: scott ' s average ( arithmetic mean ) golf score on his first 4 rounds was 78 . what score does he need on his fifth round to drop his average score by 2 points ? 
Options: a ) 68 , b ) 72 , c ) 78 , d ) 88 , e ) 312
Answer: a
Input: Problem: how many three digit numbers e are divisible by 78 or 91 ? 
Options: a ) 17 , b ) 19 , c ) 20 , d ) 21 , e ) 22
Answer: b
Input: Problem: positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 4 . what is the value of x ? 
Options: a ) 40 , b ) 100 , c ) 200 , d ) 400 , e ) 600
Answer: a
Input: Problem: what is the least value of x . so that 23 x 57 is divisible by 3 . 
Options: a ) 2 , b ) 0 , c ) 1 , d ) 3 , e ) 4
Answer: c
Input: Problem: a man can swim in still water at 12 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ? 
Options: a ) 1.7 , b ) 2.67 , c ) 1.2 , d ) 1.5 , e ) 4
Answer: e
Input: Problem: two persons raj and ramu started working for a company in similar jobs on january 1 , 1991 . raj ' s initial monthly salary was rs 400 , which increases by rs 40 after every year . ramu ' s initial monthly salary was rs 500 which increases by rs 20 after every 6 months . if these arrangements continue till december 31 , 200 . find the total salary they received during that period . 
Options: a ) rs 108000 , b ) rs 144000 , c ) rs 132000 , d ) rs 152400 , e ) none of these
Answer: d
Input: Problem: the average of first 9 odd numbers is ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: e
Input: Problem: a camera lens filter kit containing 5 filters sells for $ 87.50 . if the filters are purchased individually , 2 of them are priced at $ 16.45 each , 2 at $ 14.05 each , 1 at $ 19.50 . the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually ? 
Options: a ) 7 % , b ) 8 % , c ) 9 % , d ) 10 % , e ) 11 %
Answer: b
Input: Problem: equal amount of water were poured into two empty jars of different capacities , which made one jar 1 / 7 full and other jar 1 / 6 full . if the water in the jar with lesser capacity is then poured into the jar with greater capacity , what fraction of the larger jar will be filled with water ? 
Options: a ) 1 / 7 , b ) 7 / 12 , c ) 1 / 2 , d ) 2 / 7 , e ) 2 / 3
Answer: d
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 300 milliliters of solution x to create a solution that is 25 percent alcohol by volume ? 
Options: a ) 250 / 3 , b ) 500 / 3 , c ) 900 , d ) 480 , e ) 600
Answer: c
Input: Problem: at veridux corporation , there are 250 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 140 male associates , how many female managers are there ? 
Options: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 35
Answer: b
Input: Problem: if a number p is prime , and 2 p + 3 = q , where q is also prime , then the decimal expansion of 1 / q will produce a decimal with q - 1 digits . if this method produces a decimal with 166 digits , what is the units digit of the product of p and q ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: a
Input: Problem: a waitress ' s income consists of her salary and tips . during one week , her tips were 9 / 4 of her salary . what fraction of her income for the week came from tips ? 
Options: a ) 9 / 13 , b ) 1 / 6 , c ) 1 / 3 , d ) 4 / 9 , e ) 5 / 9
Answer: a
Input: Problem: for all numbers a and b , the operationis defined by ab = ( a + 2 ) ( b – 3 ) . if 3 y = – 30 , then y = 
Options: a ) – 15 , b ) – 6 , c ) - 3 , d ) 6 , e ) 15
Answer: c
Input: Problem: find the value of 582964 x 99999 = m ? 
Options: a ) 58210607666 , b ) 58310607896 , c ) 58295817036 , d ) 58591650836 , e ) 58310692816
Answer: c
Input: Problem: what is the minimum percentage increase in the mean of set f { - 4 , - 1 , 0 , 6 , 9 } if its two smallest elements are replaced with two different primes ? 
Options: a ) 25 % , b ) 50 % , c ) 75 % , d ) 100 % , e ) 200 %
Answer: d
Input: Problem: there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 77 . how tall is the fourth person ? 
Options: a ) 79 , b ) 81 , c ) 83 , d ) 85 , e ) 87
Answer: c
Input: Problem: if the product of 4 integers is negative , at most how many of the integers can be negative ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: b
Input: Problem: find the least number must be added to 228712 so that remaining no . is divisible by 9 ? 
Options: a ) 5 , b ) 3 , c ) 1 , d ) 6 , e ) 2
Answer: a
Input: Problem: a , b , c subscribe rs . 50,000 for a business . if a subscribes rs . 4000 more than b and b rs . 5000 more than c , out of a total profit of rs . 39,000 , what will be the amount a receives ? 
Options: a ) 14700 , b ) 14500 , c ) 14900 , d ) 16380 , e ) 14000
Answer: d
Input: Problem: approximately how many revolutions will be made by a car tire with a 15 - inch diameter if the car travels 1 ⁄ 2 mile ? 
Options: a ) 669 , b ) 660 , c ) 360 , d ) 720 , e ) 1,440
Answer: a
Input: Problem: in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 200 more than the correct answer . find the number . 
Options: a ) 384 , b ) 76 , c ) 26 , d ) 28 , e ) 11
Answer: a
Input: Problem: y = x ^ 2 + bx + 512 cuts the x axis at ( h , 0 ) and ( k , 0 ) . if h and k are integers , what is the least value of b ? 
Options: a ) - 512 , b ) - 257 , c ) - 256 , d ) - 513 , e ) 128
Answer: d
Input: Problem: salesperson a ' s compensation for any week is $ 360 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salespeople earn the same compensation ? 
Options: a ) $ 21,000 , b ) $ 18,000 , c ) $ 15,000 , d ) $ 4,500 , e ) $ 4,000
Answer: c
Input: Problem: find the mean proportional between 49 & 81 ? 
Options: a ) 59 , b ) 61 , c ) 63 , d ) 65 , e ) 67
Answer: c
Input: Problem: the maximum number of students among them 1345 pens and 775 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : 
Options: a ) 91 , b ) 10 , c ) 6 , d ) 5 , e ) none of these
Answer: d
Input: Problem: three numbers are in the ratio 2 : 3 : 5 and their average is 50 . the largest number is : 
Options: a ) 30 , b ) 75 , c ) 27 , d ) 21 , e ) 22
Answer: b
Input: Problem: x and y are two towns . ganesh covers the distance from x to y at an average speed of 43 km / hr . however , he covers the distance from y to x at an average speed of 34 km / hr . his average speed during the whole journey in km / hr . is : 
Options: a ) 34 , b ) 43 , c ) 40 , d ) 38 , e ) 29
Answer: d
Input: Problem: a cricket player whose bowling average was 22.5 runs per wicket , takes 5 wicket for 52 runs in a match . due to this his average decreases by 0.5 . what will be the number of wickets taken by him till the last match ? 
Options: a ) 64 , b ) 72 , c ) 121 , d ) 984 , e ) 108
Answer: c
Input: Problem: elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service . elvin ' s total telephone bill for january was $ 46 and elvin ' s total telephone bill for february was 76 $ . if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january , what is elvin ' s fixed monthly charge for internet service ? 
Options: a ) $ 5 , b ) $ 10 , c ) $ 14 , d ) $ 16 , e ) $ 28
Answer: d
Input: Problem: we define that k @ j is the product of j number from k in increasing order for positive integers k , j . for example , 6 @ 4 = 6 * 7 * 8 * 9 . if a = 2020 and b = 2120 , what is the value q of the ratio a / b ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 2 / 3 , d ) 1 / 4 , e ) 1 / 5
Answer: a
Input: Problem: dropbox charges $ 3.10 for first 1 / 5 of a month for 500 gb storage , plus $ 0.40 for each additional 1 / 5 of a month . what would dropbox charge for a data storage of 500 gb for 8 months ? 
Options: a ) $ 15.60 , b ) $ 16.00 , c ) $ 17.80 , d ) $ 18.70 , e ) $ 19.10
Answer: d
Input: Problem: given that 268 x 74 = 19532 , find the value of 2.68 x . 74 . 
Options: a ) 1.9532 , b ) 1.0025 , c ) 1.5693 , d ) 1.0266 , e ) none
Answer: a
Input: Problem: the least number which when increased by 6 each divisible by each one of 24 , 32 , 36 and 54 is : 
Options: a ) 858 , b ) 859 , c ) 869 , d ) 4320 , e ) none of these
Answer: a
Input: Problem: a student , after his teacher ' s question , chose a number , multiplied it by 2 , then subtracted 138 from the result and got 102 . what was the number he chose ? 
Options: a ) 344 , b ) 251 , c ) 411 , d ) 212 , e ) 120
Answer: e
Input: Problem: by approximately what percent is x greater than 1 / 3 if ( 2 / 3 ) ( x ) = 1 ? 
Options: a ) 173 % , b ) 516 % , c ) 461 % , d ) 350 % , e ) 290 %
Answer: d
Input: Problem: find the sum the difference between the compound and s . i . on a certain sum of money for 2 years at 10 % per annum is rs . 15 of money ? 
Options: a ) 1500 , b ) 2677 , c ) 1997 , d ) 2677 , e ) 1971
Answer: a
Input: Problem: operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 5 , when a # b = 100 ? 
Options: a ) 5 , b ) 8 , c ) 10 , d ) 13 , e ) 17
Answer: c
Input: Problem: evaluate : 40 - 10 ÷ 2 × 2 = 
Options: a ) 20 , b ) 25 , c ) 10 , d ) 16 , e ) 30
Answer: e
Input: Problem: the total age of a and b is 13 years more than the total age of b and c . c is how many years younger than a ? 
Options: a ) 13 , b ) 24 , c ) c is elder than a , d ) data inadequate , e ) none
Answer: a
Input: Problem: what is the difference between the place values of two 1 ' s in the numeral 135.21 
Options: a ) 99.999 , b ) 100.2 , c ) 134 , d ) 99.99 , e ) 99.9
Answer: d
Input: Problem: calculate 12351 ÷ ? = 69 
Options: a ) 179 , b ) 119 , c ) 129 , d ) 173 , e ) 156
Answer: a
Input: Problem: you collect pens . suppose you start out with 20 . mike gives you another 22 pens . since her father makes pens , cindy decides to double your pens . since you ' re nice , you give sharon 19 pens . how many pens do you have at the end ? 
Options: a ) 39 , b ) 40 , c ) 65 , d ) 42 , e ) 43
Answer: c
Input: Problem: what least number must be subtracted from 652543 so that remaining no . is divisible by 12 
Options: a ) 3 , b ) 5 , c ) 7 , d ) 8 , e ) 9
Answer: c
Input: Problem: the smallest number when increased by ` ` 1 ` ` is exactly divisible by 12 , 18 , 24 , 32 and 40 is : 
Options: a ) 1439 , b ) 1440 , c ) 1459 , d ) 1449 , e ) 1500
Answer: a
Input: Problem: john found that the average of 15 numbers is 40 . if 12 is added to each number then the mean of number is ? 
Options: a ) 52 , b ) 45 , c ) 65 , d ) 78 , e ) 64
Answer: a
Input: Problem: average between two sets of numbers is closer to the set withmore no ' s ? 
Options: a ) 80 , b ) 90 , c ) 110 , d ) 120 , e ) 130
Answer: b
Input: Problem: 64 + 5 * 12 / ( 180 / 3 ) = ? 
Options: a ) 22 , b ) 77 , c ) 29 , d ) 65 , e ) 21
Answer: d
Input: Problem: 1 , 3,5 , 7,9 , . . 50 find term of sequnce for this . 
Options: a ) 1356 , b ) 1557 , c ) 1688 , d ) 1700 , e ) 2500
Answer: e
Input: Problem: find the value of ( 100 + 20 / 90 ) × 90 
Options: a ) 4520 , b ) 9100 , c ) 9150 , d ) 8120 , e ) 9020
Answer: e
Input: Problem: rahul played weel in this season . his current batting averagge is 53 . if he score 78 runs in today match . his batting average will become 58 . how many matches had he played in this season . 
Options: a ) 4 , b ) 10 , c ) 9 , d ) 6 , e ) 5
Answer: a
Input: Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 13 times as heavy as water ? 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 4 : 1 , d ) 5 : 2 , e ) 6 : 5
Answer: b
Input: Problem: if 2 ^ 5 , 3 ^ 3 , and 11 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ? 
Options: a ) 132 , b ) 39 , c ) 42 , d ) 65 , e ) 156
Answer: a
Input: Problem: the average of 5 quantities is 10 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ? 
Options: a ) 19 , b ) 14 , c ) 8 , d ) 9.5 , e ) none of these
Answer: a
Input: Problem: if x is 40 percent greater than 88 , then x = 
Options: a ) 68 , b ) 70.4 , c ) 123.2 , d ) 105.6 , e ) 108
Answer: c
Input: Problem: the sum of the squares of three numbers is 41 , while the sum of their products taken two at a time is 20 . their sum is : 
Options: a ) 10 , b ) 5 , c ) 9 , d ) 15 , e ) none of these
Answer: c
Input: Problem: at the end of year x , automobile installment credit accounted for 36 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 35 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ? 
Options: a ) 291.67 , b ) 105 , c ) 301.05 , d ) 288 , e ) 249.55
Answer: a
Input: Problem: find the value of m 62519 x 9999 = m ? 
Options: a ) 724533811 , b ) 625127481 , c ) 545463251 , d ) 725117481 , e ) 677899932
Answer: b
Input: Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 50 kg . what might be the weight of the new person ? 
Options: a ) 70 kg , b ) 80 kg , c ) 85 kg , d ) 90 kg , e ) 95 kg
Answer: a
Input: Problem: in a certain game , a large container is filled with red , yellow , green , and blue beads worth , respectively , 7 , 5 , 3 , and 2 points each . a number of beads are then removed from the container . if the product of the point values of the removed beads is 30 , 870000 , how many red beads were removed ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: c
Input: Problem: if the average of 9 digits is 18 and the average of 4 of them is 8 , calculate the average of the remaining 5 numbers ? 
Options: a ) 21 , b ) 26 , c ) 27 , d ) 22 , e ) 29
Answer: b
Input: Problem: 3 friends james , david and charlie divide $ 1230 amongs them in such a way that if $ 5 , $ 10 and $ 15 are removed from the sums that james , david and charlie received respectively , then the share of the sums that they got will be in the ratio of 9 : 10 : 11 . how much did charlie receive ? 
Options: a ) $ 600 , b ) $ 575 , c ) $ 550 , d ) $ 580 , e ) $ 615
Answer: e
Input: Problem: the sum of all two digit numbers divisible by 4 is 
Options: a ) 1242 , b ) 1542 , c ) 1742 , d ) 1610 , e ) 1842
Answer: a
Input: Problem: the average runs of a cricket player of 13 innings was 22 . how many runs must he make in his next innings so as to increase his average of runs by 5 ? 
Options: a ) 92 , b ) 42 , c ) 64 , d ) 76 , e ) 84
Answer: a
Input: Problem: ( 132 ) ^ 7 × ( 132 ) ^ ? = ( 132 ) ^ 11.5 . 
Options: a ) 4.5 , b ) 3 , c ) 4 , d ) 3.5 , e ) 8.5
Answer: a
Input: Problem: if two of the 4 expressions x + y , x + 5 y , x - y , and 5 x - y are chosen at random , what is the probability w that their product will be of the form of x ^ 2 - ( by ) ^ 2 , where b is an integer ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) w = 1 / 6
Answer: e
Input: Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 28 , find the value of ab . 
Options: a ) 19 , b ) 15 , c ) 10 , d ) 8 , e ) 13
Answer: d
Input: Problem: if a - b = 5 and a 2 + b 2 = 31 , find the value of ab . 
Options: a ) 9 , b ) 2 , c ) 3 , d ) 7 , e ) 12
Answer: c
Input: Problem: if x * y = xy + 2 ( x + y ) for all integers x and y , then 2 * ( – 3 ) = 
Options: a ) – 16 , b ) – 11 , c ) – 8 , d ) 4 , e ) 16
Answer: c
Input: Problem: is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 42 , then how old is b ? 
Options: a ) 16 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: a
Input: Problem: ( 128.5 x 25 ) + ( 13.8 x 50 ) = ? x 50 
Options: a ) 78.05 , b ) 556.02 , c ) 574.36 , d ) 585.64 , e ) 595.46
Answer: a
Input: Problem: if 4 / ( 1 + 3 / x ) = 1 , then x = 
Options: a ) 3 , b ) 1 , c ) 1 / 3 , d ) - 1 / 3 , e ) - 3
Answer: b
Input: Problem: at 1 : 00 pm , there were 10.0 grams of bacteria . the bacteria increased to x grams at 4 : 00 pm , and 19.6 grams at 7 : 00 pm . if the amount of bacteria present increased by the same fraction during each of the 3 - hour periods , how many grams of bacteria were present at 4 : 00 pm ? 
Options: a ) 13.7 , b ) 14.0 , c ) 14.3 , d ) 14.6 , e ) 14.9
Answer: b
Input: Problem: employees of a certain company are each to receive a unique 10 - digit identification code consisting of the digits 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , and 9 such that no digit is used more than once in any given code . in valid codes , the second digit in the code is exactly twice the first digit . how many valid codes are there ? 
Options: a ) 145,660 , b ) 149,720 , c ) 155,420 , d ) 161,280 , e ) 167,480
Answer: d
Input: Problem: what is the smallest positive integer k such that the product of 61347 x k is a perfect square ? 
Options: a ) 3 , b ) 9 , c ) 15 , d ) 25 , e ) 63
Answer: a
Input: Problem: what is the tens digit of 36 ^ 4 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: c
Input: Problem: what is the unit digit of ( 6 ! * 6 ! / 6 ! * 3 ! ) ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: a
Input: Problem: when 2 + 3 = 65 , 3 + 4 = 125 , 4 + 5 = 205 , then 5 + 6 = ? 
Options: a ) 285 , b ) 305 , c ) 315 , d ) 350 , e ) 245
Answer: b
Input: Problem: if x # y is defined to equal x ^ 2 / y for all x and y , then ( - 1 # 2 ) # 2 = 
Options: a ) 4 / 3 , b ) 1 / 3 , c ) 1 / 12 , d ) 1 / 8 , e ) - 4 / 3
Answer: d
Input: Problem: if 1 / 12 of the passengers on a ship are from north america , 1 / 4 are europeans , 2 / 9 are from africa , 1 / 6 are from asia and the remaining 50 people are citizens of other continents , then how many passengers are on board the ship ? 
Options: a ) 120 , b ) 140 , c ) 150 , d ) 160 , e ) 180
Answer: e
Input: Problem: a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 50 $ for the meal . assuming that they will pay 10 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ? 
Options: a ) 39.52 $ , b ) 40.63 $ , c ) 41.63 $ , d ) 42.15 $ , e ) 41.15 $
Answer: a
Input: Problem: if 1 + 3 = 10 ; 3 + 5 = 52 ; 5 + 7 = 174 then 7 + 11 = ? 
Options: a ) 354 , b ) 225 , c ) 654 , d ) 741 , e ) 464
Answer: e
Input: Problem: jancy had 100 currency notes in all , some of which are of rs 70 denomination and the remaining of rs 50 denomination . the total amount of all these currency notes was rs . 5000 . how much amount ( in rs ) did she have in the denomination of rs 50 ? 
Options: a ) 103 , b ) 102 , c ) 100 , d ) 105 , e ) 106
Answer: c
Input: Problem: if a person walks at 12 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is : 
Options: a ) 50 km , b ) 100 km , c ) 60 km , d ) 70 km , e ) 80 km
Answer: b
Input: Problem: find the difference between c . i and s . i on a sum of money rs . 2000 for 2 years . at 4 % p . a 
Options: a ) rs . 2.20 , b ) rs . 3.20 , c ) rs . 4.20 , d ) rs . 5.20 , e ) rs . 3.25
Answer: b