Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: if the price of petrol increases by 44 , by how much must a user cut down his consumption so that his expenditure on petrol remains constant ? 
Options: a ) 25 % , b ) 20 % , c ) 16.67 % , d ) 33.33 % , e ) none of these
Answer: e
Input: Problem: find large number from below question the difference of two numbers is 750 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 1345 , b ) 1250 , c ) 897 , d ) 900 , e ) 1635
Answer: c
Input: Problem: a factory producing tennis balls stores them in either big boxes , 25 balls per box , or small boxes , 20 balls per box . if 76 freshly manufactured balls are to be stored , what is the least number of balls that can be left unboxed ? 
Options: a ) 2 , b ) 1 , c ) 4 , d ) 6 , e ) 8
Answer: b
Input: Problem: 765 chairs are to be arranged in a column in such a way that the number of chairs in each column should be equal to the columns . how many chairs will be excluded to make this arrangement possible ? 
Options: a ) 6 , b ) 36 , c ) 19 , d ) 27 , e ) none of these
Answer: b
Input: Problem: two brothers ram and ravi appeared for an exam . the probability of selection of ram is 1 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected . 
Options: a ) 1 / 35 , b ) 2 / 3 , c ) 7 / 35 , d ) 5 / 7 , e ) 7 / 5
Answer: a
Input: Problem: a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 50 extra yellow balls and making ratio of white balls to yellow balls 8 / 15 . how many tennis balls did the retailer order originally . 
Options: a ) 110 , b ) 114.28 , c ) 140 , d ) 160 , e ) 214
Answer: b
Input: Problem: there are 8 stores in town that had a total of 23 visitors on a particular day . however , only 12 people went shopping that day ; some people visited more than one store . if 8 people visited exactly two stores each , and everyone visited at least one store , what is the largest number of stores anyone could have visited ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: c
Input: Problem: n is a whole number which when divided by 4 gives 3 as remainder . what will be the remainder when 2 * n is divided by 4 ? 
Options: a ) 8 , b ) 2 , c ) 6 , d ) 7 , e ) 1
Answer: b
Input: Problem: what least number should be added to 1053 , so that the sum is completely divisible by 23 
Options: a ) a ) 4 , b ) b ) 1 , c ) c ) 2 , d ) d ) 3 , e ) e ) 5
Answer: e
Input: Problem: if [ x ] is the greatest integer less than or equal to x , what is the value of [ - 2.6 ] + [ 1.4 ] + [ 2.7 ] ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 6 , e ) 7
Answer: a
Input: Problem: jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 81 . if jerry wants to raise his average by 2 points , what score must he earn on the fourth test ? 
Options: a ) 87 , b ) 89 , c ) 90 , d ) 93 , e ) 95
Answer: b
Input: Problem: if the price of a book is first decreased by 20 % and then increased by 20 % , then the net change in the price will be : 
Options: a ) 10 , b ) 388 , c ) 4 , d ) 29 , e ) 22
Answer: c
Input: Problem: if f ( x ) = 3 x ^ 4 - 4 x ^ 3 - 2 x ^ 2 + 6 x , then f ( - 1 ) = 
Options: a ) - 2 , b ) - 1 , c ) 0 , d ) 1 , e ) 2
Answer: b
Input: Problem: if 5 % of a number is equal to one - third of another number , what is the ratio of first number to the second number ? 
Options: a ) 2 : 5 , b ) 20 : 3 , c ) 3 : 7 , d ) 6 : 11 , e ) 2 : 3
Answer: b
Input: Problem: to be considered for “ movie of the year , ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 775 members . what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ” ? 
Options: a ) 191 , b ) 194 , c ) 193 , d ) 212 , e ) 213
Answer: b
Input: Problem: find the value of ( 19 + 43 / 151 ) × 151 
Options: a ) 2924 , b ) 2916 , c ) 2614 , d ) 2912 , e ) 2215
Answer: d
Input: Problem: according to the directions on the can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 3 cans of water to make orange juice . how many 12 ounces cans of the concentrate are required to prepare 360 6 ounces servings of orange juice ? 
Options: a ) a ) 45 , b ) b ) 34 , c ) c ) 50 , d ) d ) 67 , e ) e ) 100
Answer: a
Input: Problem: if a - b = 3 and a 2 + b 2 = 29 , find the value of ab ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 17 , e ) 18
Answer: a
Input: Problem: the sum of the present ages of two persons a and b is 45 . if the age of a is twice that of b , find the sum of their ages 5 years hence ? 
Options: a ) 55 , b ) 60 , c ) 70 , d ) 80 , e ) 90
Answer: a
Input: Problem: if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 23 , find the value of ab . 
Options: a ) 5 , b ) 8 , c ) 7 , d ) 10 , e ) 3
Answer: c
Input: Problem: we bought 85 hats at the store . blue hats cost $ 6 and green hats cost $ 7 . the total price was $ 530 . how many green hats did we buy ? 
Options: a ) a ) 36 , b ) b ) 20 , c ) c ) 40 , d ) d ) 42 , e ) e ) 44
Answer: b
Input: Problem: company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 1.2 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? 
Options: a ) 3 / 8 , b ) 14 / 31 , c ) 7 / 15 , d ) 17 / 35 , e ) 1 / 2
Answer: a
Input: Problem: if 20 liters of chemical x are added to 80 liters of a mixture that is 15 % chemical x and 85 % chemical y , then what percentage of the resulting mixture is chemical x ? 
Options: a ) 30 % , b ) 32 % , c ) 35 % , d ) 38 % , e ) 40 %
Answer: b
Input: Problem: find the value of ( 45 + 23 / 89 ) × 89 
Options: a ) 4028 , b ) 4026 , c ) 4248 , d ) 4538 , e ) 9028
Answer: a
Input: Problem: the maximum number of student amoung them 1001 pens and 910 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 ) 910 , c ) 1001 , d ) 1911 , e ) none of these
Answer: a
Input: Problem: there are 7 players in a bowling team with an average weight of 103 kg . if two new players join the team , one weighs 110 kg and the second weighs 60 kg , what will be the new average weight ? 
Options: a ) 95 kg . , b ) 99 kg . , c ) 89 kg . , d ) 90 kg . , e ) 92 kg .
Answer: b
Input: Problem: a certain country is divided into 8 provinces . each province consists entirely of progressives and traditionalists . if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 12 the total number of progressives in the entire country , what fraction of the country is traditionalist ? 
Options: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 5
Answer: e
Input: Problem: a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 20 extra yellow balls and making ratio of white balls to yellow balls 8 / 13 . how many tennis balls did the retailer order originally . 
Options: a ) 64 , b ) 130 , c ) 140 , d ) 160 , e ) 120
Answer: a
Input: Problem: 25 liters of a mixture is created by mixing liquid p and liquid q in the ratio 3 : 2 . how many liters of liquid q must be added to make the ratio 5 : 4 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: 10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 130000 , find the cost of a camel ? 
Options: a ) s . 9800 , b ) s . 3800 , c ) s . 9800 , d ) s . 5200 , e ) s . 6880
Answer: d
Input: Problem: ( 212 + 222 + 232 + . . . + 302 ) = ? 
Options: a ) 385 , b ) 2485 , c ) 2570 , d ) 3255 , e ) none
Answer: c
Input: Problem: the sum of two numbers is 40 and their difference is 4 . the ratio of the numbers is 
Options: a ) 11 : 9 , b ) 11 : 18 , c ) 21 : 19 , d ) 21 : 19 , e ) none
Answer: a
Input: Problem: if a jogger jogs 16 km / hr instead of 12 km / hr , he would have jogged 10 km more . the actual distance he jogged is 
Options: a ) 50 km , b ) 40 km , c ) 30 km , d ) 20 km , e ) none of these
Answer: c
Input: Problem: solve the given equation 9 ^ y = 3 ^ 12 , what is y ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: e
Input: Problem: mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 19008 , how much amount per month would he have spent on clothes and transport ? 
Options: a ) 4038 , b ) 8076 , c ) 9691.2 , d ) 1584 , e ) 1625
Answer: d
Input: Problem: this year , mbb consulting fired 8 % of its employees and left remaining employee salaries unchanged . sally , a first - year post - mba consultant , noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before . the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction ? 
Options: a ) 98.5 % , b ) 101.2 % , c ) 102.8 % , d ) 104.5 % , e ) 105.0 %
Answer: b
Input: Problem: of the 12,210 employees of the anvil factory , 2 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ? 
Options: a ) 14.3 % , b ) 13.67 % , c ) 33 % , d ) 28.6 % , e ) 49.67 %
Answer: b
Input: Problem: 90 % of the population of a village is 23040 . the total population of the village is ? 
Options: a ) 32256 , b ) 24000 , c ) 24936 , d ) 25600 , e ) none
Answer: d
Input: Problem: in a certain company , the formula for maximizing profits is p = - 25 x ^ 2 + 7500 x , , where p is profit and x is the number of machines the company operates in its factory . what value for x will maximize p ? this one is from integratedlearning . here ' s what i did : the oa states : to find a maximum or minimum value of an equation with an exponent in it , you take the derivative of the equation , set it to zero , and solve . i dont really get what that means . so whoever solves it , could you plz post explanation of what the above sentence mean as well ? 
Options: a ) 10 , b ) 50 , c ) 150 , d ) 200 , e ) 300
Answer: c
Input: Problem: sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum . sandy attempts 30 sums and obtains 60 marks . how many sums did sandy get correct ? 
Options: a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 26
Answer: d
Input: Problem: what is the smallest integer y for which 27 ^ y > 3 ^ 24 ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 12
Answer: c
Input: Problem: 5.005 / 4.004 = 
Options: a ) 1.05 , b ) 1.50015 , c ) 1.501 , d ) 1.5015 , e ) 1.25
Answer: e
Input: Problem: the scoring system in a certain football competition goes as follows : 3 points for victory , 1 point for a draw , and 0 points for defeat . each team plays 20 matches . if a team scored 14 points after 5 games , what is the least number of the remaining matches it has to win to reach the 40 - point mark by the end of the tournament ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Answer: a
Input: Problem: excluding stoppages , the average speed of a bus is 100 km / hr and including stoppages , the average speed of the bus is 40 km / hr . for how many minutes does the bus stop per hour ? 
Options: a ) 15 min , b ) 18 min , c ) 16 min , d ) 20 min , e ) 36 min
Answer: e
Input: Problem: if ( 5 + k ) ( 5 - k ) = ( 5 ^ 2 ) - ( 2 ^ 3 ) , then what is the value of k ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 2 , e ) 6
Answer: d
Input: Problem: if a randomly selected non - negative single digit integer is added to { 2 , 3 , 6 , 8 } . what is the probability that the median of the set will increase but the range still remains the same ? 
Options: a ) 0.2 , b ) 0.3 , c ) 0.4 , d ) 0.5 , e ) 0.6
Answer: c
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 r 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: john has $ 1600 at the beginning of his trip , after spending money , he still has exactly $ 600 less than he spent on the trip . how much money does john still have ? 
Options: a ) $ 200 , b ) $ 400 , c ) $ 600 , d ) $ 800 , e ) $ 500
Answer: e
Input: Problem: suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price . on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 580 . on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 800 . how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear ? 
Options: a ) $ 10.50 , b ) $ 12.50 , c ) $ 11.50 , d ) $ 16.50 , e ) $ 9.50
Answer: b
Input: Problem: a sum of money is to be divided among ann , bob and chloe . first , ann receives $ 4 plus one - half of what remains . next , bob receives $ 4 plus one - third of what remains . finally , chloe receives the remaining $ 32 . how much money j did bob receive ? 
Options: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 52
Answer: b
Input: Problem: the number 341 is equal to the sum of the cubes of two integers . what is the product of those integers ? 
Options: a ) 8 , b ) 15 , c ) 21 , d ) 30 , e ) 39
Answer: d
Input: Problem: a total of 30 percent of the geese included in a certain migration study were male . if some of the geese migrated during the study and 30 percent of the migrating geese were male , what was the ratio of the migration rate for the male geese to the migration rate for the female geese ? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ] 
Options: a ) 1 / 4 , b ) 7 / 12 , c ) 2 / 3 , d ) 1 , e ) 8 / 7
Answer: d
Input: Problem: on dividing 172 by a number , the quotient is 10 and the remainder is 2 . find the divisor . 
Options: a ) 9 , b ) 11 , c ) 13 , d ) 15 , e ) 17
Answer: e
Input: Problem: rates for having a manuscript typed at a certain typing service are $ 5 per page for the first time a page is typed and $ 3 per page each time a page is revised . if a certain manuscript has 100 pages , of which 30 were revised only once , 20 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ? 
Options: a ) $ 430 , b ) $ 620 , c ) $ 650 , d ) $ 680 , e ) $ 710
Answer: e
Input: Problem: a case contains c cartons . each carton contains b boxes , and each box contains 200 paper clips . how many paper clips are contained in 2 cases ? 
Options: a ) 200 bc , b ) 200 b / c , c ) 400 bc , d ) 400 b / c , e ) 400 / bc
Answer: c
Input: Problem: rahul played weel in this season . his current batting averagge is 51 . if he score 78 runs in today match . his batting average will become 54 . how many matches had he played in this season . 
Options: a ) 8 , b ) 10 , c ) 9 , d ) 6 , e ) 5
Answer: a
Input: Problem: for any non - zero a and b that satisfy | ab | = ab and | a | = a | b - 4 | + | ab - b | = ? 
Options: a ) ab - 4 , b ) 2 b - ab - 4 , c ) ab + 4 , d ) ab - 2 b + 4 , e ) 4 - ab
Answer: a
Input: Problem: if a ^ 2 + b ^ 2 = 177 and ab = 54 then find the value of a + b / a - b ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: c
Input: Problem: 3 students appear at an examination of mathematics . the probability of their success are 1 / 2 , 1 / 4 , 1 / 5 respectively . find the probability of success of at least two . 
Options: a ) 1 / 60 , b ) 2 / 50 , c ) 9 / 40 , d ) 3 / 40 , e ) 4 / 50
Answer: c
Input: Problem: according to the directions on a packet of smoothie mix , 1 3 - ounce packet of smoothie mix is to be combined with 15 ounces of water to make a smoothie . how many 3 - ounce packets of smoothie mix are required to prepare 150 12 - ounce smoothies ? 
Options: a ) 120 , b ) 150 , c ) 180 , d ) 240 , e ) 600
Answer: c
Input: Problem: if the digits 31 in the decimal 0.00031 repeat indefinitely , what is the value of ( 10 ^ 5 - 10 ^ 3 ) ( 0.00031 ) ? 
Options: a ) 31 , b ) 0.31 , c ) 0.0031 , d ) 0.00031 , e ) 3.1 e - 05
Answer: a
Input: Problem: how many odd prime numbers are there less than 125 ? 
Options: a ) 29 , b ) 34 , c ) 44 , d ) 54 , e ) 64
Answer: a
Input: Problem: ele , the circus elephant , is currently 3 times older than lyn , the circus lion . in 15 years from now , lyn the circus lion will be exactly half as old as ele , the circus elephant . how old is ele today ? 
Options: a ) 40 , b ) 48 , c ) 43 , d ) 45 , e ) 41
Answer: d
Input: Problem: fog + fog + fog + fog = 1464 . if f , o and g are digits in a 3 - digit number in the preceding equation the f + o + g = ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Answer: e
Input: Problem: arjun started a business with rs . 10,000 and is joined afterwards by anoop with rs . 40 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 9
Answer: e
Input: Problem: 65 % of x = 20 % of 747.50 . find the value of x ? 
Options: a ) 100 , b ) 230 , c ) 150 , d ) 180 , e ) 199
Answer: b
Input: Problem: a family pays $ 800 per year for an insurance plan that pays 70 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total . 
Options: a ) $ 1,000 , b ) $ 1,200 , c ) $ 1,400 , d ) $ 1,800 , e ) $ 2,200
Answer: c
Input: Problem: the sum of the even numbers between 1 and n is 89 * 90 , where n is an odd number , then n = ? 
Options: a ) 167 , b ) 173 , c ) 179 , d ) 185 , e ) 193
Answer: c
Input: Problem: how many numbers from 19 to 79 are exactly divisible by 11 ? 
Options: a ) 5 , b ) 6 , c ) 9 , d ) 11 , e ) 12
Answer: b
Input: Problem: set a consists of all the prime numbers between 12 and 32 . what is the range of set a ? 
Options: a ) 12 , b ) 18 , c ) 16.6 , d ) 17 , e ) 23
Answer: b
Input: Problem: the cost to park a car in a certain parking garage is $ 15.00 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 ) $ 1.67 , c ) $ 2.25 , d ) $ 2.37 , e ) $ 3.03
Answer: e
Input: Problem: the population of a city increases by 5 % per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ? 
Options: a ) 9 % , b ) 9.27 % , c ) 27 % , d ) 12.48 % , e ) none of these
Answer: d
Input: Problem: a meal cost $ 35.50 and there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be : 
Options: a ) 40 - 42 , b ) 39 - 41 , c ) 38 - 40 , d ) 37 - 39 , e ) 36 - 37
Answer: b
Input: Problem: the average of first five multiples of 2 is ? 
Options: a ) 6 , b ) 8 , c ) 9 , d ) 5 , e ) 7
Answer: a
Input: Problem: - 24 x 29 + 36 = ? 
Options: a ) 2436 , b ) 2801 , c ) - 2801 , d ) - 660 , e ) none of them
Answer: d
Input: Problem: a collection of books went on sale , and 2 / 3 of them were sold for $ 2.25 each . if none of the 40 remaining books were sold , what was the total amount received for the books that were sold ? 
Options: a ) $ 160 , b ) $ 150 , c ) $ 280 , d ) $ 200 , e ) $ 180
Answer: e
Input: Problem: to be considered for “ movie of the year , ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 785 members . what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ” ? 
Options: a ) 191 , b ) 197 , c ) 193 , d ) 212 , e ) 213
Answer: b
Input: Problem: x , y , and z are different prime numbers . the product x ^ 2 * y ^ 2 * z is divisible by how many different positive numbers ? 
Options: a ) 6 , b ) 8 , c ) 12 , d ) 18 , e ) 24
Answer: d
Input: Problem: the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30 . what is the original number q ? 
Options: a ) 60 , b ) 80 , c ) 40 , d ) 120 , e ) 160
Answer: b
Input: Problem: how many integers between 263,205 and 658,805 have tens digit 1 and units digit 3 ? 
Options: a ) 3,955 , b ) 3,925 , c ) 3,956 , d ) 3,926 , e ) 3,915
Answer: c
Input: Problem: the total car population in a chennai is 9000 out of which 5000 are made by honda . out of every 100 honda cars , 90 are red in color , but only 60 % of the total car population is red . find the % of non - honda cars that are red 
Options: a ) 22.5 % , b ) 21.5 % , c ) 20.5 % , d ) 12.5 % , e ) 10.5 %
Answer: a
Input: Problem: the average mark of the students of a class in a particular exam is 80 . if 5 students whose average mark in that exam is 20 are excluded , the average mark of the remaining will be 92 . find the number of students who wrote the exam . 
Options: a ) 15 , b ) 25 , c ) 30 , d ) 45 , e ) 55
Answer: c
Input: Problem: if a 2 - b 2 = 8 and a * b = 2 , find a 4 + b 4 . 
Options: a ) 62 , b ) 72 , c ) 82 , d ) 92 , e ) 62
Answer: b
Input: Problem: a fruit - salad mixture consists of apples , peaches , and grapes in the ratio 9 : 6 : 5 , respectively , by weight . if 40 pounds of the mixture is prepared , the mixture includes how many more pounds of apples than grapes ? 
Options: a ) 15 , b ) 12 , c ) 8 , d ) 6 , e ) 4
Answer: c
Input: Problem: what is the thousandths digit in the decimal equivalent of 64 / 5000 ? 
Options: a ) 2 , b ) 1 , c ) 3 , d ) 5 , e ) 6
Answer: a
Input: Problem: if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 24 , what is the value of r - p ? 
Options: a ) 28 , b ) 10 , c ) 30 , d ) 40 , e ) 5
Answer: a
Input: Problem: how many odd prime numbers are there less than 100 ? 
Options: a ) 78 , b ) 5 , c ) 24 , d ) 12 , e ) 15
Answer: c
Input: Problem: when 242 is divided by a certain divisor the remainder obtained is 11 . when 698 is divided by the same divisor the remainder obtained is 18 . however , when the sum of the two numbers 242 and 698 is divided by the divisor , the remainder obtained is 9 . what is the value of the divisor ? 
Options: a ) 11 , b ) 17 , c ) 13 , d ) 20 , e ) none of these
Answer: d
Input: Problem: evaluate : 6402.5 + 640.25 + 64.025 + 6.4025 + 0.64025 
Options: a ) 6819.59775 , b ) 6981.59775 , c ) 6918.59775 , d ) 7113.81775 , e ) 6891.59775
Answer: d
Input: Problem: the sum of all the integers d such that - 26 < d < 24 is 
Options: a ) 0 , b ) - 2 , c ) - 25 , d ) - 49 , e ) - 51
Answer: d
Input: Problem: | 13 - 3 | - | 4 - 10 | = ? 
Options: a ) 3 , b ) 2 , c ) 1 , d ) 0 , e ) 4
Answer: e
Input: Problem: each of 3 charities in novel grove estates has 8 persons serving on its board of directors . if exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors , then how many distinct persons serve on one or more boards of directors ? a . b . c . d . e . 
Options: a ) 8 , b ) 13 , c ) 16 , d ) 24 , e ) 27
Answer: b
Input: Problem: a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 5 - inch increase in the length of the shoe . if the largest size of this shoe is 20 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? 
Options: a ) 8.6 , b ) 9.8 , c ) 10.4 , d ) 11.2 , e ) 12.6
Answer: c
Input: Problem: joan took out a mortgage from hel local bank . each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment . if her first payment is $ 100 , and the total amount she must pay back is $ 12100 , how many months will it take joan to pay back her mortgage ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 5 , e ) 13
Answer: d
Input: Problem: when positive integer n is divided by 5 , the remainder is 1 . when n is divided by 7 , the remainder is 3 . what is the smallest positive integer k such that k + n is a multiple of 36 . 
Options: a ) 5 , b ) 4 , c ) 12 , d ) 32 , e ) 35
Answer: a
Input: Problem: if the price of a tv is first decreased by 10 % and then increased by 30 % , then the net change in the price will be : 
Options: a ) 4 % increase , b ) 17 % increase , c ) 10 % decrease , d ) 6 % increase , e ) none of these
Answer: b
Input: Problem: if the number 892 , 142,24 x is divisible by 11 , what must be the value of x ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 0 , e ) 5
Answer: d
Input: Problem: what is the smallest positive integer k such that the product of 1575 x k is a perfect square ? 
Options: a ) 7 , b ) 9 , c ) 15 , d ) 25 , e ) 63
Answer: a
Input: Problem: a cuban cigar would cost 3 dollar less than 1.5 times a french cigar , had the french cigar cost 0.7 dollar less than it does now . an arabian cigar costs 50 cents more than 1.5 times the cuban cigar . the 3 cigars together cost 74.7 dollars . what is the price of the french cigar ? 
Options: a ) 19.7 $ . , b ) 23 $ . , c ) 14.7 $ . , d ) 35 $ . , e ) 37.4 $ .
Answer: c
Input: Problem: of the 200 employees at company x , 80 are full - time , and 150 have worked at company x for at least a year . there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year . how many full - time employees of company x have worked at the company for at least a year ? 
Options: a ) 20 , b ) 30 , c ) 50 , d ) 80 , e ) 100
Answer: c
Input: Problem: a telephone company needs to create a set of 3 - digit area codes . the company is entitled to use only digits 2 , 4 and 5 , which can be repeated . if the product of the digits in the area code must be even , how many different codes can be created ? 
Options: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 30
Answer: d
Input: Problem: a student chose a number , multiplied it by 4 , then subtracted 138 from the result and got 102 . what was the number he chose ? 
Options: a ) 60 , b ) 120 , c ) 130 , d ) 140 , e ) 150
Answer: a
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 65 kg . what is the weight of the new person ? 
Options: a ) 75 , b ) 65 , c ) 85 , d ) 95 , e ) 80
Answer: c
Input: Problem: if 4 / p = 8 & 6 / q = 18 then p - q = ? 
Options: a ) 5 / 24 , b ) 6 / 24 , c ) 7 / 24 , d ) 1 / 6 , e ) 9 / 24
Answer: d
Input: Problem: if the price of a book is first decreased by 25 % and then increased by 20 % , then the net change in the price will be : 
Options: a ) 10 , b ) 388 , c ) 37 , d ) 29 , e ) 22
Answer: a
Input: Problem: 1 / 4 of all married couples have more than one child . 1 / 5 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ? 
Options: a ) 1 / 5 , b ) b . 1 / 4 , c ) 1 / 20 , d ) 3 / 5 , e ) it can not be determined from the given information .
Answer: c
Input: Problem: a and b are two partially filled buckets of water . if 5 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 4 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ? 
Options: a ) 11 , b ) 52 / 5 , c ) 17 , d ) 21 , e ) 23
Answer: b
Input: Problem: a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 200 per month . what is his monthly salary ? 
Options: a ) rs . 5000 , b ) rs . 25000 , c ) rs . 7500 , d ) rs . 8500 , e ) rs . 9500
Answer: a
Input: Problem: if the operation @ is defined for all a and b by the equation a @ b = ( a ^ 2 * b ) * 3 , then 2 @ ( 3 @ - 1 ) = 
Options: a ) - 324 , b ) 223 , c ) 324 , d ) - 223 , e ) - 410
Answer: a
Input: Problem: in a division , divident is 729 , divisior is 38 and quotient is 19 . find the remainder . 
Options: a ) a ) 4 , b ) b ) 3 , c ) c ) 2 , d ) d ) 5 , e ) e ) 7
Answer: e
Input: Problem: the sum of two numbers is 77 . 5 times one number is equal to 6 times the other . the bigger of the two numbers is 
Options: a ) 10 , b ) 42 , c ) 14 , d ) 15 , e ) 60
Answer: b
Input: Problem: a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 4 - inch increase in the length of the shoe . if the largest size of this shoe is 10 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? 
Options: a ) 18.25 , b ) 20.75 , c ) 22.25 , d ) 24.25 , e ) 26.75
Answer: d
Input: Problem: in may mrs lee ' s earnings were 45 percent of the lee family ' s total income . in june mrs lee earned 20 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ? 
Options: a ) 50 % , b ) 68 % , c ) 72 % , d ) 76 % , e ) 80 %
Answer: a
Input: Problem: a + 2 b = 6 , ab = 4 2 / a + 1 / b = ? 
Options: a ) 3 / 2 , b ) 5 / 2 , c ) 7 / 2 , d ) 9 / 2 , e ) 11 / 2
Answer: a
Input: Problem: the average age of a group of persons going for picnic is years . fifteen new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years . the number of persons initially going for picnic is 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 40 , e ) 50
Answer: c
Input: Problem: a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase i in sales ? 
Options: a ) 2 % , b ) 17 % , c ) 20 % , d ) 65 % , e ) 83 %
Answer: c
Input: Problem: what is the units digit of the product of the first 100 odd numbers ? 
Options: a ) 1 , b ) 3 , c ) 0 , d ) 5 , e ) 7
Answer: d
Input: Problem: a one - foot stick is marked in 1 / 3 and 1 / 4 portion . how many total markings will there be , including the end points ? 
Options: a ) 8 , b ) 9 , c ) 7 , d ) 6 , e ) 5
Answer: c
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 , 28 , 19 , 33 and 35 ? 
Options: a ) 33 , b ) 25 , c ) 27 , d ) 24 , e ) 23
Answer: e
Input: Problem: timothy drove at an average speed of 10 mph for some time and then at an average speed of 50 mph for the rest of the journey . if he made no stops during the trip and his average speed for the entire journey was 40 mph , for what fraction of the total time did he drive at 50 mph ? 
Options: a ) 1 / 5 , b ) 1 / 3 , c ) 2 / 5 , d ) 3 / 4 , e ) 3 / 5
Answer: d
Input: Problem: let f ( x , y ) be defined as the remainder when ( x – y ) ! is divided by x . if x = 24 , what is the maximum value of y for which f ( x , y ) = 0 ? 
Options: a ) 12 , b ) 15 , c ) 18 , d ) 20 , e ) 21
Answer: d
Input: Problem: how many integers between 100 and 160 , inclusive , can not be evenly divided by 3 nor 5 ? 
Options: a ) 32 , b ) 27 , c ) 25 , d ) 35 , e ) 29
Answer: a
Input: Problem: if ( 18 ^ a ) * 9 ^ ( 3 a – 1 ) = ( 2 ^ 4 ) ( 3 ^ b ) and a and b are positive integers , what is the value of a ? 
Options: a ) 22 , b ) 11 , c ) 9 , d ) 6 , e ) 4
Answer: e
Input: Problem: in a room filled with 7 people , 3 people have exactly 1 sibling in the room and 4 people have exactly 2 siblings in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ? 
Options: a ) 5 / 21 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 7 , e ) 13 / 21
Answer: e
Input: Problem: what is the greatest 6 - digit number when divided by 8 , 9 , and 10 leaves a remainder of 6 , 7 , and 8 respectively ? 
Options: a ) 456780 , b ) 678918 , c ) 997479 , d ) 997916 , e ) 997920
Answer: b
Input: Problem: cindy has her eye on a sundress but thinks it is too expensive . it goes on sale for 15 % less than the original price . before cindy can buy the dress , however , the store raises the new price by 25 % . if the dress cost $ 78.2 after it went on sale for 15 % off , what is the difference between the original price and the final price ? 
Options: a ) $ 0.00 , b ) $ 5.75 , c ) $ 3.40 , d ) $ 5.00 , e ) $ 6.80
Answer: b
Input: Problem: find the average of all the numbers between 16 and 34 which are divisible by 5 ? 
Options: a ) 10 , b ) 20 , c ) 28 , d ) 30 , e ) 15
Answer: c
Input: Problem: the smallest number which when diminished by 7 , is divisible 12 , 16 , 18 , 21 and 28 is : 
Options: a ) 1008 , b ) 1015 , c ) 1022 , d ) 1032 , e ) none of these
Answer: b
Input: Problem: a 100 - litre mixture of milk and water contains 36 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 16 % . what is the value of x ? 
Options: a ) 37.5 litres , b ) 36.67 litres , c ) 37.67 litres , d ) 36.5 litres , e ) 33.33 litres
Answer: e
Input: Problem: a group of n students can be divided into equal groups of 3 with 1 student left over or equal groups of 6 with 1 students left over . what is the sum of the two smallest possible values of n ? 
Options: a ) 33 , b ) 46 , c ) 49 , d ) 53 , e ) 86
Answer: e
Input: Problem: you collect baseball cards . suppose you start out with 15 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ? 
Options: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21
Answer: b
Input: Problem: during a certain two - week period , 58 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 5 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ? 
Options: a ) 10 a , b ) 9 a , c ) 8 2 / 3 a , d ) 11 a , e ) 12 a
Answer: c
Input: Problem: 9886 + x = 13200 , then x is ? 
Options: a ) 3327 , b ) 3237 , c ) 3337 , d ) 2337 , e ) none of these
Answer: e
Input: Problem: the sum of a number and the number preceding it is 33 . by how much is two less than 6 times the number ? 
Options: a ) 196 , b ) 94 , c ) 90 , d ) 100 , e ) 120
Answer: d
Input: Problem: if jake loses 20 pounds , he will weigh twice as much as his sister . together they now weigh 224 pounds . what is jake ’ s present weight , in pounds ? 
Options: a ) 131 , b ) 135 , c ) 156 , d ) 177 , e ) 188
Answer: c
Input: Problem: it takes 30 days to fill a laboratory dish with bacteria . if the size of the bacteria doubles each day , how long did it take for the bacteria to fill one sixteenth of the dish ? 
Options: a ) 16 days , b ) 26 days , c ) 27 days , d ) 28 days , e ) 29 days
Answer: b
Input: Problem: the mean of 40 observations was 100 . it was found later that an observation 50 was wrongly taken as 75 the corrected new mean is 
Options: a ) 125.8 , b ) 102.8 , c ) 99.375 , d ) 100.52 , e ) 122
Answer: c
Input: Problem: the sum of ages of 5 children born 3 years different each is 60 yrs . what is the age of the elder child ? 
Options: a ) 17 , b ) 19 , c ) 16 , d ) 18 , e ) 21
Answer: d
Input: Problem: if an integer n is to be selected at random from 1 to 100 , inclusive , what is probability n ( n + 1 ) will be divisible by 8 ? 
Options: a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 4
Answer: a
Input: Problem: if a number p is prime , and 2 p + 4 = 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: in a room filled with 6 people , all 6 people have exactly 1 sibling in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ? 
Options: a ) 3 / 5 , b ) 4 / 5 , c ) 5 / 6 , d ) 5 / 12 , e ) 7 / 12
Answer: b
Input: Problem: if ( t - 8 ) is a factor of t ^ 2 - kt - 47 , then k = 
Options: a ) 16 , b ) 12 , c ) 2 , d ) 6 , e ) 14
Answer: d
Input: Problem: a corporation double its annual bonus to 100 of its employees . what percent of the employees ’ new bonus is the increase ? 
Options: a ) 50 % , b ) 12 % , c ) 8 % , d ) 6 % , e ) 5 %
Answer: a
Input: Problem: mother , her daughter and her grand child weighs 130 kg . daughter and her daughter ( child ) weighs 60 kg . child is 1 / 5 th of her grand mother . what is the age of the daughter ? 
Options: a ) 46 , b ) 47 , c ) 48 , d ) 49 , e ) 50
Answer: a
Input: Problem: 107 ã — 107 + 93 ã — 93 = ? 
Options: a ) 20198 , b ) 20098 , c ) 20000 , d ) 20088 , e ) 20085
Answer: b
Input: Problem: when you multiply a number by 4 and then subtract 3 , the result is the same as if you first subtracted 7 from the same number and then multiplied by 9 . what is the number ? 
Options: a ) a ) 23 , b ) b ) 13 , c ) c ) 19 , d ) d ) 12 , e ) e ) 10
Answer: d
Input: Problem: in x - y plane , there is a right triangle abc ( ∠ b = 90 o ) . if the length of ac is 225 and the slope of line segment ac is 4 / 3 , what is the length of ab ? 
Options: a ) 12 , b ) 180 , c ) 24 , d ) 28 , e ) 40
Answer: b
Input: Problem: dick and jane each saved $ 1000 in 1989 . in 1990 dick saved 15 percent more than in 1989 , and together he and jane saved a total of $ 2000 . approximately what percent less did jane save in 1990 than in 1989 ? 
Options: a ) 3 % , b ) 5 % , c ) 10 % , d ) 15 % , e ) 18 %
Answer: d
Input: Problem: how many zeroes are there at the end of the number n , if n = 80 ! + 160 ! ? 
Options: a ) 15 , b ) 19 , c ) 23 , d ) 27 , e ) 31
Answer: b
Input: Problem: x is the product of each integer from 1 to 50 , inclusive and y = 100 ^ k , where k is an integer . what is the greatest value of k for which y is a factor of x ? 
Options: a ) 0 , b ) 5 , c ) 6 , d ) 10 , e ) 12
Answer: c
Input: Problem: what is the dividend . divisor 15 , the quotient is 9 and the remainder is 5 ? 
Options: a ) a ) 140 , b ) b ) 134 , c ) c ) 148 , d ) d ) 158 , e ) e ) 160
Answer: a
Input: Problem: find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 4 as quotient and the 15 as remainder 
Options: a ) 1235 , b ) 1346 , c ) 1378 , d ) 1635 , e ) 1815
Answer: e
Input: Problem: if x / 2 years ago roger was 18 years old and x / 2 years from now he will be 4 x years old , how old will he be 5 x years from now ? 
Options: a ) 32 , b ) 35 , c ) 30 , d ) 51 , e ) 28
Answer: d
Input: Problem: what is the greatest number that divides 263 , 935 and 1383 leaving a remainder of 7 in each case ? 
Options: a ) 30 , b ) 31 , c ) 32 , d ) 35 , e ) 37
Answer: c
Input: Problem: ages of two persons differ by 4 years . if 3 years ago , the elder one was 3 times as old the younger one , find their present age 
Options: a ) 5,9 , b ) 14,18 , c ) 16,20 , d ) 18,22 , e ) 19,23
Answer: a
Input: Problem: a luxury liner , queen marry ii , is transporting several cats as well as the crew ( sailors , a cook , and one - legged captain ) to a nearby port . altogether , these passengers have 14 heads and 41 legs . how many cats does the ship host ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: c
Input: Problem: if 3 / p = 4 & 3 / q = 18 then p - q = ? 
Options: a ) 5 / 24 , b ) 7 / 12 , c ) 7 / 24 , d ) 8 / 24 , e ) 9 / 24
Answer: b
Input: Problem: how much is 85 % of 40 is greater than 4 / 5 of 25 ? 
Options: a ) 22 , b ) 14 , c ) 88 , d ) 12 , e ) 66
Answer: b
Input: Problem: the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 20 % and that of tea dropped by 20 % . if in july , a mixture containing equal quantities of tea and coffee costs 80 / kg . how much did a kg of coffee cost in june ? 
Options: a ) 50 , b ) 60 , c ) 80 , d ) 100 , e ) 120
Answer: c
Input: Problem: a no . when divided by 142 gives a remainder 110 , what remainder will be obtainedby dividingthe same no . 14 ? 
Options: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20
Answer: c
Input: Problem: paulson spends 75 % of his income . his income is increased by 20 % and he increased his expenditure by 10 % . find the percentage increase in his savings ? 
Options: a ) 20 % , b ) 25 % , c ) 50 % , d ) 75 % , e ) 60 %
Answer: c
Input: Problem: in how many q ways can a 4 - letter password be chosen , using the letters a , b , c , d , e , and / or f , such that at least one letter is repeated within the password ? 
Options: a ) 720 , b ) 864 , c ) 900 , d ) 936 , e ) 1296
Answer: d
Input: Problem: the cricket team of 11 members is 24 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 25 , e ) 28
Answer: a
Input: Problem: the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only 70 % of the required amount . what is the net difference in the expenditure on that product ? 
Options: a ) 12.5 % , b ) 13 % , c ) 13.15 % , d ) 14 % , e ) 15 %
Answer: a
Input: Problem: find the value of ( √ 1.21 ) / ( √ 0.81 ) + ( √ 1.44 ) / ( √ 0.49 ) is 
Options: a ) 195 / 63 , b ) 145 / 63 , c ) 155 / 63 , d ) 125 / 63 , e ) 185 / 63
Answer: e
Input: Problem: if you write down all the numbers from 1 to 100 , then how many times do you write 1 ? 
Options: a ) a ) 11 , b ) b ) 18 , c ) c ) 20 , d ) d ) 21 , e ) e ) 22
Answer: d
Input: Problem: a rainstorm increased the amount of water stored in state j reservoirs from 130 billion gallons to 160 billion gallons . if the storm increased the amount of water in the reservoirs to 60 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ? 
Options: a ) 92 , b ) 85 , c ) 136.67 , d ) 140.67 , e ) 150
Answer: c
Input: Problem: 96 % of 5 / 8 = 
Options: a ) 0.2 , b ) 0.5 , c ) 0.6 , d ) 0.75 , e ) 1.0
Answer: c
Input: Problem: the ratio between x and y is 8 / 3 ; x is multiplied by x and y is multiplied by y , what is the ratio between the new values of x and y ? 
Options: a ) 8 / 3 , b ) 3 / 8 , c ) 1 , d ) 64 / 9 , e ) it can not be determined
Answer: a
Input: Problem: how many positive even integers less than 100 contain digits 5 or 7 ? 
Options: a ) 10 , b ) 17 , c ) 18 , d ) 19 , e ) 20
Answer: a
Input: Problem: if x / y = 3 and ( 2 a - x ) / ( 5 b - y ) = 3 , then the value of a / b is ? 
Options: a ) 15 / 2 , b ) - 2 , c ) 1 , d ) 2 , e ) 3
Answer: a
Input: Problem: for every x , the action [ x ] is defined : [ x ] is the greatest integer less than or equal to x . what is the value of [ 6.5 ] x [ 2 / 3 ] + [ 2 ] x 7.2 + [ 8.4 ] - 6.0 ? 
Options: a ) 12.6 . , b ) 14.4 . , c ) 15.8 . , d ) 16.2 . , e ) 16.4 .
Answer: e
Input: Problem: if a store owner increases a product ’ s price by 20 percent and then increases this price by another 15 percent , what percent of the original price is the total price increase ? 
Options: a ) 20 % , b ) 35 % , c ) 38 % , d ) 65 % , e ) 135 %
Answer: c
Input: Problem: what is the minimum possible range in scores of the 3 test - takers ? 3 people each took 5 tests . if the ranges of their scores in the 5 practice tests were 18 , 26 and 32 . 
Options: a ) 26 , b ) 32 , c ) 18 , d ) 20 , e ) 30
Answer: e
Input: Problem: there are 1000 buildings in a street . a sign - maker is contracted to number the houses from 1 to 1000 . how many zeroes will he need ? 
Options: a ) 190 , b ) 191 , c ) 192 , d ) 193 , e ) 194
Answer: c
Input: Problem: when 2 is added to half of one - third of one - fifth of a number , the result is one - fifteenth of the number . find the number ? 
Options: a ) 40 , b ) 65 , c ) 73 , d ) 60 , e ) 80
Answer: d
Input: Problem: how many multiples of 9 are there between 18 and 270 ? 
Options: a ) 12 , b ) 27 , c ) 42 , d ) 61 , e ) 60
Answer: b
Input: Problem: there are some birds in cage , 1 / 3 rd fly away . then 2 / 5 th of the remaining left the cage , then 2 / 3 rd of the remaining left the cage . at last 8 were remaining . how many birds were in total ? 
Options: a ) 60 , b ) 27 , c ) 28 , d ) 26 , e ) 91
Answer: a
Input: Problem: if a = { 9 , 17 , 25 , 28 , 29 , 30 } , how much less is the mean of the numbers in a than the median of the numbers in s ? 
Options: a ) 1.0 , b ) 9.6 , c ) 3.5 , d ) 3.2 , e ) 5.1
Answer: c
Input: Problem: if 6 pr = 360 and if 6 cr = 15 , find r ? 
Options: a ) 5 , b ) 6 , c ) 4 , d ) 3 , e ) 2
Answer: c
Input: Problem: the sum of ages of 5 children born at the intervals of 3 years each is 80 years . what is the age of the youngest child ? 
Options: a ) 3 years , b ) 4 years , c ) 6 years , d ) 7 years , e ) 10 years
Answer: e
Input: Problem: the average age of a group of n people is 14 years old . one more person aged 34 joins the group and the new average is 16 years old . what is the value of n ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: c
Input: Problem: a small pool filled only with water will require an additional 600 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 600 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? 
Options: a ) 1000 , b ) 1250 , c ) 1300 , d ) 1600 , e ) 2000
Answer: e
Input: Problem: of all the homes on gotham street , 1 / 3 are termite - ridden , and 7 / 10 of these are collapsing . what fraction of the homes are termite - ridden , but not collapsing ? 
Options: a ) 1 / 4 , b ) 1 / 6 , c ) 1 / 8 , d ) 1 / 9 , e ) 1 / 10
Answer: e
Input: Problem: the vertex of a rectangle are ( 1 , 0 ) , ( 5 , 0 ) , ( 1 , 2 ) and ( 5 , 2 ) respectively . if line l passes through the origin and divided the rectangle into two identical quadrilaterals , what is the slope of line l ? 
Options: a ) 3 , b ) 6 , c ) 1 / 3 , d ) 1 / 2 , e ) 1 / 6
Answer: c
Input: Problem: if ( x + 3 ) ^ 2 / ( 2 x + 15 ) = 3 , then the difference between the two possible values of x is : 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
Answer: c
Input: Problem: a batsman in his 12 th innings makes a score of 92 and thereby increases his average by 2 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ? 
Options: a ) 42 , b ) 43 , c ) 70 , d ) 45 , e ) 46
Answer: c
Input: Problem: if a * b * c = 195 , b * c * d = 65 , c * d * e = 1000 and d * e * f = 250 the ( a * f ) / ( c * d ) = ? 
Options: a ) 1 / 2 , b ) 1 / 4 , c ) 3 / 4 , d ) 2 / 3 , e ) none of these
Answer: c
Input: Problem: what is the 4 digit no . in which the 1 st digit is 1 / 3 of the second , the 3 rd is the sum of the 1 st and 2 nd , and the last is 3 times the second ? 
Options: a ) 1123 , b ) 1234 , c ) 1349 , d ) 1455 , e ) 1567
Answer: c
Input: Problem: how many times will the digit 6 be written when listing the integers from 1 to 1000 ? 
Options: a ) 150 , b ) 280 , c ) 310 , d ) 420 , e ) 300
Answer: e
Input: Problem: if doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product , the number is 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 7
Answer: c
Input: Problem: if the average of 10 consecutive integers is 24.5 then the 10 th integer is : - 
Options: a ) 15 , b ) 20 , c ) 23 , d ) 29 , e ) 25
Answer: d
Input: Problem: a mixture contains milk and water in the ratio 5 : 2 . on adding 10 liters of water , the ratio of milk to water becomes 5 : 3 . the quantity of milk in the original mixture is ? 
Options: a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70
Answer: c
Input: Problem: 0.0006 ? = 0.03 
Options: a ) 2 , b ) 20 , c ) 0.2 , d ) 0.02 , e ) none of these
Answer: d