Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: if 3 x + y = 40 , 2 x - y = 20 , for integers of x and y , 2 y ^ 2 = ? 
Options: a ) 2 , b ) 4 , c ) 0 , d ) 10 , e ) 32
Answer: e
Input: Problem: the simple interest on a sum of money will be rs . 1400 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ? 
Options: a ) 2800 , b ) 3799 , c ) 1200 , d ) 2693 , e ) 1732
Answer: a
Input: Problem: the ages of two persons differ by 16 years . 6 years ago , the elder one was 3 times as old as the younger one . what are their present ages of the elder person 
Options: a ) 11 , b ) 66 , c ) 28 , d ) 30 , e ) 99
Answer: d
Input: Problem: 3 positive integers a , b , and c are such that their average is 20 and a ≤ b ≤ c . if the median is ( a + 13 ) , what is the least possible value of c ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: e
Input: Problem: if p represents the product of the first 16 positive integers , then p is not a multiple of 
Options: a ) 99 , b ) 84 , c ) 72 , d ) 65 , e ) 51
Answer: e
Input: Problem: sum of two numbers is 10 . two times of the first exceeds by 5 from the 3 times of the other . then the numbers will be ? 
Options: a ) a ) 7 , b ) b ) 9 , c ) c ) 11 , d ) d ) 13 , e ) e ) 15
Answer: a
Input: Problem: two friends a , b decided to share a lot of apples . each of them had half of the total plus half an apple in order . after each of them took their share 4 time , no apples were left . how many apples were there ? 
Options: a ) 250 , b ) 255 , c ) 254 , d ) 253 , e ) 251
Answer: e
Input: Problem: how many numbers from 2 to 8 are exactly divisible by 2 ? 
Options: a ) a ) 2 , b ) b ) 4 , c ) c ) 5 , d ) d ) 7 , e ) e ) 8
Answer: b
Input: Problem: 80 + 5 * 12 / ( 180 / 3 ) = ? 
Options: a ) 23 , b ) 78 , c ) 27 , d ) 61 , e ) 81
Answer: e
Input: Problem: at the beginning of a year , the owner of a jewel shop raised the price of all the jewels in his shop by x % and lowered them by x % . the price of one jewel after this up and down cycle reduced by rs . 100 . the owner carried out the same procedure after a month . after this second up - down cycle , the price of that jewel was rs . 2304 . find the original price of that jewel ( in rs . ) 
Options: a ) 2500 , b ) 550 , c ) 2600 , d ) 2650 , e ) none of these
Answer: a
Input: Problem: the probability that a man will be alive for 10 more yrs is 1 / 4 & the probability that his wife will alive for 10 more yrs is 1 / 3 . the probability that none of them will be alive for 10 more yrs , is 
Options: a ) 1 / 2 , b ) 1 , c ) 2 / 3 , d ) 3 / 5 , e ) 3 / 8
Answer: a
Input: Problem: if the average ( arithmetic mean ) of 8 consecutive odd integers is 414 , then the least of these integers is 
Options: a ) a ) 407 , b ) b ) 518 , c ) c ) 519 , d ) d ) 521 , e ) e ) 525
Answer: a
Input: Problem: when positive integer n is divided by positive integer j , the remainder is 16 . if n / j = 127.05 , what is value of j ? 
Options: a ) 300 , b ) 320 , c ) 370 , d ) 400 , e ) 450
Answer: b
Input: Problem: if a ( a - 4 ) = 5 and b ( b - 4 ) = 5 , where a ≠ b , then a + b = 
Options: a ) − 48 , b ) − 4 , c ) 4 , d ) 9 , e ) 48
Answer: c
Input: Problem: find the remainder of the division ( 3 ^ 15 ) / 7 . 
Options: a ) 7 , b ) 6 , c ) 15 , d ) 8 , e ) 2
Answer: b
Input: Problem: if integer k is equal to the sum of all even multiples of 15 between 390 and 615 , what is the greatest prime factor of k ? 
Options: a ) 5 , b ) 7 , c ) 8 , d ) 13 , e ) 17
Answer: c
Input: Problem: robert ate 7 chocolates , nickel ate 5 chocolates . how many more chocolates did robert ate than nickel ? 
Options: a ) a ) 4 , b ) b ) 7 , c ) c ) 9 , d ) d ) 5 , e ) e ) 2
Answer: e
Input: Problem: 998 x 998 = ? 
Options: a ) 996000 , b ) 1000000 , c ) 996004 , d ) 4000 , e ) 996008
Answer: c
Input: Problem: find the constant k so that : - x 2 - ( k + 9 ) x - 8 = - ( x - 2 ) ( x - 4 ) 
Options: a ) 11 , b ) 12 , c ) 15 , d ) 14 , e ) 19
Answer: c
Input: Problem: a no . when divided by 125 gives a remainder 40 , what remainder will be obtainedby dividingthe same no . 15 ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14
Answer: b
Input: Problem: rs . 1430 is divided so that 4 times the first share , thrice the 2 nd share and twice the third share amount to the same . what is the value of the third share ? 
Options: a ) s . 528 , b ) s . 542 , c ) s . 528 , d ) s . 540 , e ) s . 660
Answer: e
Input: Problem: 120 + 520 ÷ 5.00 = ? 
Options: a ) 100 , b ) 150 , c ) 120 , d ) 520 , e ) none
Answer: e
Input: Problem: p , q , r enter into a partnership & their share are in the ratio 1 / 2 : 1 / 3 : 1 / 4 , after two months , p withdraws half of the capitals & after 10 months , a profit of rs 378 is divided among them . what is q ' s share ? 
Options: a ) 114 , b ) 120 , c ) 134 , d ) 144 , e ) none of these
Answer: d
Input: Problem: a positive number x is multiplied by 4 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x ? 
Options: a ) 9 / 4 , b ) 3 / 2 , c ) 4 / 3 , d ) 2 / 3 , e ) 1 / 2
Answer: c
Input: Problem: if n is a positive integer , what is the remainder when ( 7 ^ ( 4 n + 3 ) ) ( 3 ^ n ) is divided by 10 ? 
Options: a ) 1 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Answer: b
Input: Problem: a sum of money is put out at compound interest for 2 years at 20 % . it would earn rs . 482 more if the interest were paid half - yearly . calculate the sum . 
Options: a ) 2878 , b ) 279 , c ) 279 , d ) 482 , e ) 661
Answer: d
Input: Problem: if y is 75 % greater than x , than x is what % less than y ? 
Options: a ) 30.6 % , b ) 34.4 % , c ) 38.7 % , d ) 42.9 % , e ) 46.5 %
Answer: d
Input: Problem: what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 6 ? 
Options: a ) 82,650 , b ) 64,850 , c ) 64,749 , d ) 49,700 , e ) 56,720
Answer: a
Input: Problem: 63 + 5 * 12 / ( 180 / 3 ) = ? 
Options: a ) 22 , b ) 77 , c ) 29 , d ) 64 , e ) 21
Answer: d
Input: Problem: find 96 × × 98 
Options: a ) 92 / 8 , b ) 92 / 12 , c ) 92 / 13 , d ) 92 / 10 , e ) 92 / 11
Answer: a
Input: Problem: how many positive integers less than 5,000 are evenly divisible by neither 15 nor 22 ? 
Options: a ) 4,514 , b ) 4,475 , c ) 4,521 , d ) 4,428 , e ) 4,349
Answer: a
Input: Problem: workers decided to raise rs . 3 lacs by equal contribution from each . had they contributed rs . 50 eachextra , the contribution would have been rs . 3.50 lacs . how many workers were they ? 
Options: a ) 220 , b ) 230 , c ) 500 , d ) 560 , e ) 1000
Answer: e
Input: Problem: a batsman in his 17 th innings makes a score of 85 , and thereby increases his average by 3 . what is his average after the 17 th innings ? he had never been ’ not out ’ . 
Options: a ) 47 , b ) 37 , c ) 39 , d ) 43 , e ) 42
Answer: b
Input: Problem: a positive number x is multiplied by 10 , and this product is then divided by 3 . if the positive square root of the result of these two operations equals x , what is the value of x ? 
Options: a ) 9 / 4 , b ) 3 / 2 , c ) 4 / 3 , d ) 2 / 3 , e ) 10 / 3
Answer: e
Input: Problem: if 4 x + 3 y = 8 and y − 3 x = 2 , then what is the value of x + 4 y ? 
Options: a ) 10 , b ) 3 , c ) 15 , d ) 52 / 7 , e ) 60 / 7
Answer: a
Input: Problem: for any integer p , * p is equal to the product of all the integers between 1 and p , inclusive . how many prime numbers are there between * 8 + 3 and * 8 + 8 , inclusive ? 
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Answer: a
Input: Problem: if a no . when divided by 44 , gives 432 as quotient and 0 as remainder . what will be the remainder when dividing the same no . by 34 
Options: a ) 2 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: a
Input: Problem: a football player scores 3 goals in his fifth match thus increasing his average goals score by 0.2 . the total number of goals in his 5 matches would be 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 11 , e ) 12
Answer: d
Input: Problem: a prize of $ 1200 is to be distributed among 40 winners , each of whom must be awarded at least $ 40 . if 2 / 5 of the prize will be distributed to 3 / 5 of the winners , what is the greatest possible individual award ? 
Options: a ) $ 100 , b ) $ 120 , c ) $ 280 , d ) $ 300 , e ) $ 360
Answer: b
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 $ 2952400 , how many months will it take joan to pay back her mortgage ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 11 , e ) 13
Answer: c
Input: Problem: find the value of 3.5 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ] 
Options: a ) 800 , b ) 500 , c ) 2800 , d ) 1600 , e ) none
Answer: c
Input: Problem: if 9 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity , the tank is then filled to 9 / 10 of its capacity . how many gallons does the tank hold ? 
Options: a ) 20 , b ) 24 , c ) 36 , d ) 40 , e ) 54
Answer: e
Input: Problem: a certain clock marks every hour by striking a number of times equal to the hour , and the time require for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds . at 10 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ? 
Options: a ) 42 , b ) 36 , c ) 46 , d ) 38 , e ) 40
Answer: d
Input: Problem: the mean of 50 observations is 200 . but later he found that there is decrements of 6 from each observations . what is the the updated mean is ? 
Options: a ) 165 , b ) 185 , c ) 190 , d ) 198 , e ) 194
Answer: e
Input: Problem: the average age of 10 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is 
Options: a ) 22 , b ) 30 , c ) 99 , d ) 38 , e ) 32
Answer: e
Input: Problem: if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 7 . 
Options: a ) 8 , b ) 5 , c ) 11 , d ) 3 , e ) 1.5
Answer: e
Input: Problem: the sum of all solutions for x in the equation x ^ 2 – 8 x + 21 = | x – 4 | + 3 is equal to : 
Options: a ) – 7 , b ) 7 , c ) 20 , d ) 12 , e ) 14
Answer: c
Input: Problem: the average weight of 10 person ' s increases by 5 kg when a new person comes in place of one of them weighing 60 kg . what is the weight of the new person ? 
Options: a ) 85.5 , b ) 86.5 , c ) 87.5 , d ) 110 , e ) 89.5
Answer: d
Input: Problem: a fruit - salad mixture consists of apples , peaches , and grapes in the ratio 6 : 5 : 2 , respectively , by weight . if 78 pounds of the mixture is prepared , the mixture includes how many more pounds of apples than grapes ? 
Options: a ) 24 , b ) 12 , c ) 9 , d ) 6 , e ) 4
Answer: a
Input: Problem: the average weight of a group of boys is 30 kg . after a boy of weight 40 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ? 
Options: a ) 14 , b ) 5 , c ) 6 , d ) 7 , e ) 9
Answer: e
Input: Problem: a cyclist rides a bicycle 8 km at an average speed of 10 km / hr and again travels 10 km at an average speed of 8 km / hr . what is the average speed for the entire trip ? 
Options: a ) 9.28 , b ) 8.48 , c ) 8.78 , d ) 8.98 , e ) 9.18
Answer: c
Input: Problem: according to the directions on a can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 4 cans of water to make orange juice . how many 12 ounce cans of concentrate are required to prepare 120 6 - ounce servings of orange juice ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Answer: b
Input: Problem: a ' s speed is 20 / 13 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that b beats a by 80 % of the length of the race ? 
Options: a ) 44 % , b ) 48 % , c ) 52 % , d ) 42 % , e ) 87 %
Answer: e
Input: Problem: a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 30 paisa . if the share of y is rs . 45 , what is the total amount ? 
Options: a ) 166 , b ) 105 , c ) 175 , d ) 177 , e ) 169
Answer: c
Input: Problem: a student chose a number , multiplied it by 2 , then subtracted 200 from the result and got 110 . what was the number he chose ? 
Options: a ) 168 , b ) 100 , c ) 155 , d ) 160 , e ) 200
Answer: c
Input: Problem: list a consists of 12 consecutive integers . if - 4 is the least integer in list a , what is the range of positive integers in list a ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 11 , e ) 12
Answer: b
Input: Problem: y and z are in a relay race . y runs the first leg of the course in 58 seconds . z runs the second leg of the course in 26 seconds . what was the average time they took to run a leg of the course ? 
Options: a ) 39 , b ) 40 , c ) 41 , d ) 42 , e ) 43
Answer: d
Input: Problem: if 18888 – n is divisible by 11 , and 0 < n < 11 , what is n ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: a
Input: Problem: a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 50 paisa . if the share of y is rs . 18 , what is the total amount ? 
Options: a ) 115 , b ) 116 , c ) 117 , d ) 78 , e ) 119
Answer: d
Input: Problem: 10 play kabadi , 35 play kho kho only , 5 play both gmaes . then how many in total ? 
Options: a ) 30 , b ) 35 , c ) 38 , d ) 40 , e ) 45
Answer: e
Input: Problem: the average length of 6 ropes is 80 cm . if the average length of one third of the ropes measure to 70 cm , what is the average of the other ropes ? 
Options: a ) 75 . , b ) 85 . , c ) 90 . , d ) 94 . , e ) 100 .
Answer: b
Input: Problem: 5358 x 51 = ? 
Options: a ) 272258 , b ) 272358 , c ) 273258 , d ) 274258 , e ) 274358
Answer: c
Input: Problem: on sunday , bill ran 4 more miles than he ran on saturday . julia did not run on saturday , but she ran twice the number of miles on sunday that bill ran on sunday . if bill and julia ran a total of 28 miles on saturday and sunday , how many miles did bill run on sunday ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: d
Input: Problem: let n be the greatest number that will divide 1305 , 4665 and 6905 , leaving the same remainder in each case . then sum of the digits in n is : 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 10
Answer: a
Input: Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 35 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? 
Options: a ) 10 % , b ) 12 % , c ) 15 % , d ) 17 % , e ) 23 %
Answer: e
Input: Problem: can you find a 6 digit number under 5 lakh such that the sum of it ' s digits is 43 ? 
Options: a ) 588338 , b ) 499449 , c ) 399826 , d ) 788392 , e ) 622975
Answer: b
Input: Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of 
Options: a ) 18 % , b ) 20 % , c ) 21 % , d ) 23 % , e ) can not be determined
Answer: b
Input: Problem: in a company of 15 employees , 6 employees earn $ 37,000 , 5 employees earn $ 42,000 , and the 4 highest - paid employees earn the same amount . if the average annual salary for the 15 employees is $ 45,000 , what is the annual salary for each of the highest - paid employees ? 
Options: a ) $ 56,250 , b ) $ 57,750 , c ) $ 59,250 , d ) $ 60,750 , e ) $ 62,250
Answer: d
Input: Problem: a waiter ' s salary consists of his salary and tips . during one week his tips were 5 / 3 of his salary . what fraction of his income came from tips ? 
Options: a ) 4 / 9 , b ) 5 / 4 , c ) 5 / 8 , d ) 5 / 9 , e ) 6 / 9
Answer: c
Input: Problem: there are 5 more women than there are men on a local co - ed softball team . if there are a total of 15 players on the team , what is the ratio of men to women ? 
Options: a ) 10 / 16 , b ) 6 / 16 , c ) 5 / 10 , d ) 6 / 10 , e ) 4 / 10
Answer: c
Input: Problem: what is the sum of natural numbers between 30 and 100 
Options: a ) 4615 , b ) 4860 , c ) 5000 , d ) 5500 , e ) 5550
Answer: a
Input: Problem: there were totally 100 men . 85 are married . 75 have t . v , 85 have radio , 70 have a . c . how many men have t . v , radio , a . c and also married ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15
Answer: e
Input: Problem: if x is 12 percent greater than 70 , then x = 
Options: a ) 78.4 , b ) 91.0 , c ) 88.0 , d ) 70.4 , e ) 71.2
Answer: a
Input: Problem: # p is defined as 2 p + 20 for any number p . what is p , if # ( # ( # p ) ) = 12 ? 
Options: a ) – 16 , b ) – 44 , c ) 10 , d ) 16 , e ) 18
Answer: a
Input: Problem: what is the sum of the greatest common factor and the lowest common multiple of 16 and 36 ? 
Options: a ) 148 , b ) 222 , c ) 144 , d ) 157 , e ) 164
Answer: a
Input: Problem: roses can be purchased individually for $ 6.30 , one dozen for $ 36 , or two dozen for $ 50 . what is the greatest number of roses that can be purchased for $ 680 ? 
Options: a ) 156 , b ) 162 , c ) 316 , d ) 324 , e ) 325
Answer: c
Input: Problem: if r is a positive integer and r ^ 2 is divisible by 12 , then the largest positive integer that must divide r ^ 3 is 
Options: a ) 2 ^ 3 , b ) 2 ^ 6 , c ) 3 ^ 3 , d ) 6 ^ 3 , e ) 12 ^ 2
Answer: d
Input: Problem: claire has a total of 92 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ? 
Options: a ) 39 , b ) 68 , c ) 54 , d ) 57 , e ) 60
Answer: b
Input: Problem: how many multiples of 4 are there between 12 and 92 , inclusive ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: a
Input: Problem: last year manfred received 26 paychecks . each of his first 6 paychecks was $ 760 ; each of his remaining paychecks was $ 30 more than each of his first 6 paychecks . to the nearest dollar , what was the average ( arithmetic mean ) amount of his pay checks for the year ? 
Options: a ) $ 752 , b ) $ 755 , c ) $ 765 , d ) $ 783 , e ) $ 775
Answer: d
Input: Problem: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 51.84 , the number of the member is the group is : 
Options: a ) 57 , b ) 67 , c ) 72 , d ) 87 , e ) 97
Answer: c
Input: Problem: in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 7 years older than b , the present age of b is 
Options: a ) 35 , b ) 37 , c ) 39 , d ) 41 , e ) 42
Answer: b
Input: Problem: a bakery has 6 employees . it pays annual salaries of $ 16,000 to each of 2 employees , $ 18,000 to 1 employee , and $ 19,000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ? 
Options: a ) $ 17,200 , b ) $ 17,500 , c ) $ 17,800 , d ) $ 18,000 , e ) $ 18,400
Answer: c
Input: Problem: a computer wholesaler sells 10 different computers and each is priced differently . if the wholesaler chooses 3 computers for display at a trade show , what is the probability ( all things being equal ) that the two most expensive computers will be among the 3 chosen for display ? 
Options: a ) 15 / 56 , b ) 3 / 28 , c ) 1 / 28 , d ) 1 / 15 , e ) 1 / 168
Answer: d
Input: Problem: a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 500 . how much did he have with him in the beginning ? 
Options: a ) s 200 , b ) s 1250 , c ) s 300 , d ) s 450 , e ) s 550
Answer: b
Input: Problem: the average of first 6 natural numbers is ? 
Options: a ) 5.2 , b ) 3.5 , c ) 5.3 , d ) 5.9 , e ) 5.1
Answer: b
Input: Problem: let p be a prime number . if n = 7 p , how many divisors does n have ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Answer: b
Input: Problem: what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 10 ? 
Options: a ) 5 , b ) 9 , c ) 10 , d ) 20 , e ) 30
Answer: d
Input: Problem: if xy = 9 , x / y = 36 , for positive numbers x and y , y = ? 
Options: a ) 1 / 2 , b ) 2 , c ) 1 / 3 , d ) 3 , e ) 1 / 6
Answer: a
Input: Problem: product of two co - prime numbers is 117 . their l . c . m should be 
Options: a ) 222 , b ) 117 , c ) 278 , d ) 767 , e ) 298
Answer: b
Input: Problem: set k contains every multiple of 6 from 18 to 306 inclusive . if w is the median of set k , and x is the average ( arithmetic mean ) of set k , what is the value of w - x ? 
Options: a ) - 6 , b ) - 3 , c ) 0 , d ) 3 , e ) 6
Answer: c
Input: Problem: a man engaged a servant on the condition that he would pay him rs . 500 and a uniform after one year service . he served only for 9 months and received uniform and rs . 250 , find the price of the uniform ? 
Options: a ) s . 80 , b ) s . 85 , c ) s . 90 , d ) s . 500 , e ) s . 120
Answer: d
Input: Problem: if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 50 / r years . if luke ' s parents invested $ 11,500 in a long term bond that pays 12 percent interest compounded annually , what will be the approximate total amount of the investment 12 years later , when luke is ready for college ? 
Options: a ) 62,000 , b ) 85,500 , c ) 95,500 , d ) 100,500 , e ) 100,000
Answer: c
Input: Problem: a number when divided by 342 gives a remainder 38 , what remainder will be obtained by dividing the same number 21 ? 
Options: a ) 7 , b ) 6 , c ) 9 , d ) 2 , e ) 3
Answer: d
Input: Problem: a , b and c rents a pasture for rs . 1130 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? 
Options: a ) 270 , b ) 199 , c ) 351 , d ) 156 , e ) 122
Answer: c
Input: Problem: a student multiplied a number by 3 / 5 instead of 5 / 3 . what is the percentage error . 
Options: a ) 64 % , b ) 65 % , c ) 66 % , d ) 67 % , e ) none of these
Answer: a
Input: Problem: running at their respective constant rate , machine x takes 2 days longer to produce w widgets than machines y . at these rates , if the two machines together produce 5 w / 4 widgets in 3 days , how many days would it take machine x alone to produce 3 w widgets . 
Options: a ) 4 , b ) 6 , c ) 18 , d ) 10 , e ) 12
Answer: c
Input: Problem: maths , physics and chemistry books are stored on a library shelf that can accommodate 25 books . currently , 20 % of the shelf spots remain empty . there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books . among all the books , 12 books are soft cover and the remaining are hard - cover . if there are a total of 7 hard - cover books among the maths and physics books . what is the probability q , that a book selected at random is either a hard cover book or a chemistry book ? 
Options: a ) 1 / 10 , b ) 3 / 20 , c ) 1 / 5 , d ) 1 / 4 , e ) 9 / 20
Answer: e
Input: Problem: find value for x from below equation ? x + 1 = 3 
Options: a ) - 5 , b ) - 4 , c ) 4 , d ) 3 , e ) 2
Answer: e
Input: Problem: a car averages 55 mph for the first 4 hours of a trip and averages 70 mph for each additional hour . the average speed for the entire trip was 60 mph . how many hours long is the trip ? 
Options: a ) 6 , b ) 8 , c ) 11 , d ) 12 , e ) 14
Answer: a
Input: Problem: a cyclist rides a bicycle 8 km at an average speed of 11 km / hr and again travels 11 km at an average speed of 8 km / hr . what is the average speed for the entire trip ? 
Options: a ) 8.58 , b ) 8.76 , c ) 9.04 , d ) 9.12 , e ) 9.25
Answer: c
Input: Problem: if 50 % 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 ) 1 : 4 , c ) 3 : 7 , d ) 6 : 11 , e ) 2 : 3
Answer: e
Input: Problem: on dividing 123 by a number , the quotient is 7 and the remainder is 4 . find the divisor . 
Options: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19
Answer: c
Input: Problem: the mean of 50 observations was 36 . it was found later that an observation 29 was wrongly taken as 23 . the corrected new mean is : 
Options: a ) 36.1 , b ) 36.5 , c ) 36.22 , d ) 36.12 , e ) 36.18
Answer: d
Input: Problem: the average speed of a car is 1 4 / 5 times the avg speed of a bike . a tractor covers 575 km in 23 hrs . how much distance will the car cover in 7 hrs if the speed of the bike is twice speed of the tractor ? 
Options: a ) 400 km , b ) 500 km , c ) 360 km , d ) 550 km , e ) 630 km
Answer: e
Input: Problem: how many multiples of 2 are there between 1 and 50 , exclusive ? 
Options: a ) 21 , b ) 22 , c ) 24 , d ) 26 , e ) 28
Answer: c
Input: Problem: what is the tens digit of 6 ^ 20 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: d
Input: Problem: if n is a positive integer and the product of all the integers from 1 to n , inclusive , is a multiple of 1000 , what is the least possible value of n ? 
Options: a ) 12 , b ) 11 , c ) 14 , d ) 13 , e ) 15
Answer: e
Input: Problem: the number of positive integer solutions for the equation x + y + z + t = 15 is 
Options: a ) 654 , b ) 584 , c ) 384 , d ) 364 , e ) 394
Answer: d
Input: Problem: if n = ( 33 ) ^ 43 + ( 43 ) ^ 32 what is the units digit of n ? 
Options: a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8
Answer: b
Input: Problem: sum of two numbers is 25 . two times of the first exceeds by 5 from the three times of the other . then the numbers will be ? 
Options: a ) a ) 5 , b ) b ) 9 , c ) c ) 11 , d ) d ) 13 , e ) e ) 15
Answer: b
Input: Problem: if 4 < x < 8 < y < 12 , then what is the greatest possible positive integer difference of x and y ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: e
Input: Problem: if 70 percent of 600 is 40 percent of x , then x = ? 
Options: a ) 105 , b ) 168 , c ) 342 , d ) 660 , e ) 1050
Answer: e
Input: Problem: the sum of present age of abe and the age before 7 years is 33 . find the present age of abe . what will be his age after 7 years ? 
Options: a ) 25 , b ) 26 , c ) 27 , d ) 28 , e ) 29
Answer: c
Input: Problem: if x # y is defined to equal x ^ 3 / y for all x and y , then ( - 1 # 2 ) # 3 = 
Options: a ) 4 / 3 , b ) 1 / 3 , c ) 1 / 12 , d ) - 1 / 12 , e ) 1 / 24
Answer: e
Input: Problem: list k consists of 10 consecutive integers . if - 4 is the least integer in list k , what is the range of the positive integers in list k ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 11 , e ) 4
Answer: e
Input: Problem: 20 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 4 : 3 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: a
Input: Problem: marcella has 27 pairs of shoes . if she loses 9 individual shoes , what is the greatest number of matching pairs she could have left ? 
Options: a ) 22 , b ) 20 , c ) 19 , d ) 16 , e ) 15
Answer: a
Input: Problem: difference between two numbers is 5 , 6 times of the smaller lacks by 8 from the 4 times of the greater . find the numbers ? 
Options: a ) 5,1 , b ) 7,3 , c ) 9,8 , d ) 11,6 , e ) 13,7
Answer: d
Input: Problem: of the 14,210 employees of the anvil factory , 3 / 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 ) 16.67 % , c ) 33 % , d ) 28.6 % , e ) 49.67 %
Answer: a
Input: Problem: 80 % of 5 / 8 = 
Options: a ) 0.2 , b ) 0.5 , c ) 0.6 , d ) 0.75 , e ) 1.0
Answer: b
Input: Problem: a cricket player whose bowling average was 24.85 runs per wicket , takes 5 wicket for 52 runs in a match . due to this his average decreases by 0.85 . what will be the number of wickets taken by him till the last match ? 
Options: a ) 64 , b ) 72 , c ) 85 , d ) 96 , e ) 108
Answer: c
Input: Problem: a train ride from two p to town q costs $ 2.35 more than does a bus ride from town p to town q . together , the cost of one train ride and one bus ride is $ 9.85 . what is the cost of a bus ride from town p to town q ? 
Options: a ) $ 1.25 , b ) $ 2.50 , c ) $ 3.75 , d ) $ 4.70 , e ) $ 8.20
Answer: c
Input: Problem: lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 28 more photos than claire . how many photos has claire taken ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14
Answer: e
Input: Problem: total number of boys and girls in a school is 150 . if the number of boys is x , then girls become x % of the total number of students . the number of boys is 
Options: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90
Answer: b
Input: Problem: a batsman scored 80 runs which included 2 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets ? 
Options: a ) 45 % , b ) 500 / 11 , c ) 75 % , d ) 55 % , e ) 35 %
Answer: c
Input: Problem: when a certain number x is divided by 61 , the remainder is 24 . what is the remainder when x is divided by 5 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: c
Input: Problem: in the xy - plane , the point ( 3 , 1 ) is the center of a circle . the point ( 3 , - 2 ) lies inside the circle and the point ( - 2 , 1 ) lies outside the circle . if the radius r of the circle is an integer , then r = 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: c
Input: Problem: a student chose a number , multiplied it by 2 , then subtracted 138 from the result and got 106 . what was the number he chose ? 
Options: a ) 123 , b ) 267 , c ) 277 , d ) 122 , e ) 120
Answer: d
Input: Problem: evaluate 100 / . 25 
Options: a ) 400 , b ) 510 , c ) 500 , d ) none of these , e ) 506
Answer: a
Input: Problem: 1 , 6 , 24 , 60 , 120 , 210 , ___ ? 
Options: a ) 336 , b ) 366 , c ) 330 , d ) 660 , e ) 770
Answer: a
Input: Problem: 3889 + 12.808 - ? = 3854.002 
Options: a ) a ) 47.095 , b ) b ) 47.752 , c ) c ) 47.806 , d ) d ) 47.95 , e ) of the above
Answer: c
Input: Problem: the ratio 6 : 3 expressed as a percent equals 
Options: a ) 12.5 % , b ) 40 % , c ) 80 % , d ) 200 % , e ) none
Answer: d
Input: Problem: the average age of a group of n people is 14 years old . one more person aged 32 joins the group and the new average is 16 years old . what is the value of n ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: d
Input: Problem: a 100 - litre mixture of milk and water contains 49 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 25 % . what is the value of x ? 
Options: a ) 27.5 litres , b ) 26.67 litres , c ) 27.67 litres , d ) 28.57 litres , e ) 26 litres
Answer: d
Input: Problem: how many kg of rice at rs . 6.60 per kg . be mixed with 56 kg of rice at rs . 9.60 per kg to get a mixture worth rs . 8.20 per kg 
Options: a ) 56 kg , b ) 52 kg , c ) 44 kg , d ) 49 kg , e ) none of these
Answer: d
Input: Problem: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 5000 as profit , what is their total profit ? 
Options: a ) 28000 , b ) 30000 , c ) 32000 , d ) 35000 , e ) none of these
Answer: d
Input: Problem: in may mrs lee ' s earnings were 30 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 ) 34 , b ) 67 , c ) 85 , d ) 25 , e ) 38
Answer: a
Input: Problem: what is the smallest number which when diminished by 18 , is divisible 8 , 14 , 26 and 28 ? 
Options: a ) 746 , b ) 750 , c ) 789 , d ) 678 , e ) 897
Answer: a
Input: Problem: jennifer had $ 150 to spend on herself . she spent 1 / 5 of the money on a sandwich , 1 / 6 for a ticket to a museum , and 1 / 2 of it on a book . how much money does jennifer have left over ? 
Options: a ) $ 4 , b ) $ 14 , c ) $ 5 , d ) $ 15 , e ) $ 20
Answer: e
Input: Problem: in a certain accounting class of 90 students , 70 % of the students took the final exam on the assigned day while the rest of the students took the exam on a make - up date . if the students on the assigned day had an average score of 65 % , and the students on the make - up date had an average score of 85 % , what was the average score for the entire class ? 
Options: a ) 68 % , b ) 71 % , c ) 73 % , d ) 75 % , e ) 79 %
Answer: b
Input: Problem: calculate 42120 ÷ ? = 195 
Options: a ) 212 , b ) 219 , c ) 217 , d ) 213 , e ) 216
Answer: e
Input: Problem: what least number should be added to 1019 , so that the sum is completely divisible by 25 ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 0 , e ) 6
Answer: e
Input: Problem: total 15 cows 5 cow gives each 2 liter milk 5 cow gives each 3 / 4 liter milk 5 cow gives each 1 / 4 liter milk this is split into 3 son per each 5 cows & 5 liter milk how ? 
Options: a ) 10 , b ) 5 , c ) 15 , d ) 7.5 , e ) 12.5
Answer: b
Input: Problem: a man has some hens and cows . if the number of heads be 44 and the number of feet equals 140 , then the number of hens will be : 
Options: a ) 22 , b ) 23 , c ) 18 , d ) 26 , e ) 28
Answer: c
Input: Problem: the average age of a family of 6 members is 26 years . if the age of the youngest member is 10 years , what was the average age of the family at the birth of the youngest member ? 
Options: a ) 15 , b ) 18 , c ) 16 , d ) 12 , e ) 19
Answer: c
Input: Problem: a man whose bowling average is 22.2 , takes 4 wickets for 36 runs and thereby decreases his average by 1.2 . the number of wickets , taken by him before his last match is : 
Options: a ) 14 , b ) 22 , c ) 38 , d ) 40 , e ) 50
Answer: d
Input: Problem: a room is 8 meters 16 centimeters in length and 4 meters 32 centimeters in width . find the least number of square tiles of equal size required to cover the entire floor of the room . 
Options: a ) 107 , b ) 153 , c ) 178 , d ) 198 , e ) 165
Answer: b
Input: Problem: there are , in a certain league , 20 teams , and each team face another team for a total of 4 times . how many games are played in the season ? 
Options: a ) 450 , b ) 760 , c ) 110 , d ) 180 , e ) 400
Answer: b
Input: Problem: what is the least number which when divided by 7 , 9 , 12 and 18 leaves remainder 4 in each care ? 
Options: a ) 230 , b ) 240 , c ) 236 , d ) 256 , e ) 266
Answer: d
Input: Problem: let raj be 3 years older than ravi and hema be two years younger than ravi . raj is 3 times as old as rahul who is hema ’ s brother . the ratio of the ages of hema and her brother is 3 : 2 . find by how much percentage raj ’ s age is more than hema ’ s when raj will be 20 years old . 
Options: a ) 33.33 , b ) 27.33 , c ) 28.38 , d ) 29.37 , e ) 28.31
Answer: a
Input: Problem: if n is an integer , f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 13 . what is the value of f ( 6 ) ? 
Options: a ) - 1 , b ) 0 , c ) 1 , d ) 2 , e ) 4
Answer: d
Input: Problem: in a group of ducks and cows , the total number of legs are 34 more than twice the no . of heads . find the total no . of buffaloes . 
Options: a ) 11 , b ) 12 , c ) 14 , d ) 17 , e ) 18
Answer: d
Input: Problem: 5 years ago , the average age of a , b , c and d was 45 years . with e joining them now , the average of all the 5 is 50 years . the age of e is ? 
Options: a ) 50 , b ) 47 , c ) 48 , d ) 49 , e ) 46
Answer: a
Input: Problem: how many positive integers less than 23 are prime numbers , odd multiples of 5 , or the sum of a positive multiple of 2 and a positive multiple of 4 ? 
Options: a ) 17 , b ) 25 , c ) 24 , d ) 22 , e ) 20
Answer: a
Input: Problem: a man has some hens and cows . if the number of heads be 48 and the number of feet equals 144 , then the number of hens will be : 
Options: a ) 22 , b ) 23 , c ) 24 , d ) 26 , e ) 28
Answer: c
Input: Problem: for all integers x > 1 . < x > = 2 x + ( 2 x - 1 ) + ( 2 x - 2 ) + . . . . . . 2 + 1 . what is the value of < 2 > * < 4 > ? 
Options: a ) 60 , b ) 116 , c ) 210 , d ) 263 , e ) 360
Answer: e
Input: Problem: find the mean proportional between 49 & 64 ? 
Options: a ) a ) 59 , b ) b ) 61 , c ) c ) 56 , d ) d ) 65 , e ) e ) 67
Answer: c
Input: Problem: 115 liters of a mixture of milk and water contains in the ratio 3 : 2 . how much water should now be added so that the ratio of milk and water becomes 3 : 4 ? 
Options: a ) 12 liters , b ) 32 liters , c ) 46 liters , d ) 50 liters , e ) 34 liters
Answer: c
Input: Problem: bookman purchased 55 copies of a new book released recently , 10 of which are hardback and sold for $ 20 each , and rest are paperback and sold for $ 10 each . if 14 copies were sold and the total value of the remaining books was 360 , how many paperback copies were sold ? 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 19 , e ) 16
Answer: d
Input: Problem: a number is doubled and 9 is added . if resultant is trebled , it becomes 69 . what is that number 
Options: a ) 7 , b ) 10 , c ) 12 , d ) 14 , e ) 15
Answer: a
Input: Problem: set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 8 , while all other numbers remain the same , what is the new average of set s ? 
Options: a ) 6.6 , b ) 6.7 , c ) 6.8 , d ) 7.0 , e ) 6.9
Answer: d
Input: Problem: a part - time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee ' s total income did not change . by what percent e should the number of hours worked be increased ? 
Options: a ) 12.5 % , b ) 20 % , c ) 25 % , d ) 50 % , e ) 100 %
Answer: c
Input: Problem: a certain galaxy is known to comprise approximately 5 x 10 ^ 11 stars . of every 50 million of these stars , one is larger in mass than our sun . approximately how many stars in this galaxy are larger than the sun ? 
Options: a ) 800 , b ) 1,250 , c ) 8,000 , d ) 12,000 , e ) 10,000
Answer: e
Input: Problem: 0.002 x 0.4 = ? 
Options: a ) 8.0 , b ) 0.008 , c ) 0.08 , d ) 0.8 , e ) 0.0008
Answer: e
Input: Problem: for each color copy , print shop x charges $ 1.25 and print shop y charges $ 2.75 . how much greater is the charge for 60 color copies at print shop y than at print shop x ? 
Options: a ) $ 80 , b ) $ 90 , c ) $ 100 , d ) $ 110 , e ) $ 120
Answer: b
Input: Problem: cereal a is 9 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 4 % sugar , what should be the ratio of cereal a to cereal b , by weight ? 
Options: a ) 2 : 9 , b ) 2 : 5 , c ) 1 : 6 , d ) 1 : 4 , e ) 1 : 3
Answer: b
Input: Problem: when y is divided by 288 , the remainder is 45 . what is the remainder when the same y is divided by 24 ? 
Options: a ) 20 , b ) 21 , c ) 23 , d ) 25 , e ) 26
Answer: b
Input: Problem: when processing flower - nectar into honey bees ' extract , a considerable amount of water gets reduced . how much flower - nectar must be processed to yield 1 kg of honey , if nectar contains 50 % water , and the honey obtained from this nectar contains 20 % water ? 
Options: a ) 1.2 kg , b ) 1.5 kg , c ) 1.7 kg , d ) 1.6 kg , e ) none of these
Answer: d
Input: Problem: the average of 6 numbers is 3.9 . the average of two of them is 3.4 , while the average of the other two is 3.85 . what is the average of the remaining two numbers ? 
Options: a ) 4.7 , b ) 4.45 , c ) 4.2 , d ) 4.1 , e ) 4.9
Answer: b
Input: Problem: what is the decimal equivalent of ( 1 / 4 ) ^ 5 ? 
Options: a ) 0.0016 , b ) 0.0625 , c ) 0.0001 , d ) 0.25 , e ) 0.5
Answer: c
Input: Problem: jacob is 39 years old . he is 3 times as old as his brother . how old will jacob be when he is twice as old ? 
Options: a ) 63 , b ) 64 , c ) 65 , d ) 76 , e ) 67
Answer: c
Input: Problem: simplify : 81 x 81 + 68 x 68 - 2 x 81 x 68 . 
Options: a ) 169 , b ) 159 , c ) 189 , d ) 179 , e ) 219
Answer: a
Input: Problem: in country x a returning tourist may import goods with a total value of $ 500 or less tax free , but must pay an 8 percent tax on the portion of the total value in excess of $ 500 . what tax must be paid by a returning tourist who imports goods with a total value of $ 730 ? 
Options: a ) $ 58.40 , b ) $ 40 . 00 , c ) $ 24.60 , d ) $ 18.40 , e ) $ 16.00
Answer: d
Input: Problem: the toll t , in dollars , for a truck using a certain bridge is given by the formula t = 1.50 + 0.50 ( x − 2 ) , where x is the number of axles on the truck . what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 2 wheels on each of its other axles ? 
Options: a ) $ 2.50 , b ) $ 3.00 , c ) $ 3.50 , d ) $ 4.00 , e ) $ 5.00
Answer: e
Input: Problem: in a recent election , james received 0.5 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ? 
Options: a ) 901 , b ) 989 , c ) 990 , d ) 991 , e ) 1,001
Answer: d
Input: Problem: of 70 players on a cricket team , 37 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 ) 55 , c ) 59 , d ) 71 , e ) 92
Answer: c
Input: Problem: find the mean proportional between 64 & 81 ? 
Options: a ) a ) 59 , b ) b ) 61 , c ) c ) 63 , d ) d ) 72 , e ) e ) 67
Answer: d
Input: Problem: a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake . victor has 15 cups if flour , 16 cups of sugar and 8 cups of milk . what is the greatest number of cakes john can make using this recipe ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: a
Input: Problem: if pintu is coded as 79523 in a certain code language , how would you code lumbo in the same language ? 
Options: a ) 13426 , b ) 14236 , c ) 13436 , d ) 33426 , e ) 15263
Answer: d
Input: Problem: the price of 10 chairs is equal to that of 4 tables . the price of 15 chairs and 2 tables together is rs . 4000 . the total price of 12 chairs and 3 tables is 
Options: a ) rs . 3800 , b ) rs . 3900 , c ) rs . 4000 , d ) rs . 4200 , e ) rs . 4400
Answer: b
Input: Problem: find large number from below question the difference of two numbers is 1355 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 1235 , b ) 1345 , c ) 1678 , d ) 1767 , e ) 1623
Answer: e
Input: Problem: the ratio of the ages of mini and minakshi is 4 : 3 . the sum of their ages is 21 years . the ratio of their ages after 8 years will be 
Options: a ) 2 : 3 , b ) 20 : 17 , c ) 5 : 4 , d ) 3 : 5 , e ) 6 : 11
Answer: b
Input: Problem: 12 times a positive integer is more than its square by 36 , then the positive integer is 
Options: a ) 6 , b ) 10 , c ) 11 , d ) 12 , e ) 14
Answer: a
Input: Problem: when n is divided by 19 , the remainder is 7 . find thee difference between previous remainder and the remainder when 18 n is divided by 9 ? 
Options: a ) 7 , b ) 5 , c ) 0 , d ) 3 , e ) 9
Answer: a
Input: Problem: solve x 2 â € “ 3 x â € “ 4 = 0 . 
Options: a ) 14 , b ) - 14 , c ) 23 , d ) 2 , - 3 , e ) 34
Answer: b
Input: Problem: if p and q are prime numbers , how many divisors does the product p ^ 4 * q ^ 9 have ? 
Options: a ) 30 , b ) 35 , c ) 40 , d ) 50 , e ) 60
Answer: d
Input: Problem: jack , jill , and sandy each have one try to make a basket from half court . if their individual probabilities of making the basket are 1 / 6 , 1 / 7 , and 1 / 8 respectively , what is the probability that jill and sandy will make a basket but jack will miss ? 
Options: a ) 3 / 168 , b ) 5 / 168 , c ) 7 / 168 , d ) 5 / 336 , e ) 7 / 336
Answer: d
Input: Problem: how many positive integers less than 15 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3 ? 
Options: a ) 14 , b ) 13 , c ) 12 , d ) 8 , e ) 10
Answer: d
Input: Problem: two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 45 sec . the length of each train is ? 
Options: a ) 50 , b ) 26 , c ) 27 , d ) 62.5 , e ) 21
Answer: d
Input: Problem: a batsman scored 150 runs which included 5 boundaries and 10 sixes . what percent of his total score did he make by running between the wickets ? 
Options: a ) 45 % , b ) 46.67 % , c ) 600 / 11 , d ) 55 % , e ) 35 %
Answer: b
Input: Problem: a number is doubled and 5 is added . if the resultant is trebled , it becomes 123 . what is that number ? 
Options: a ) 12 , b ) 29 , c ) 27 , d ) 18 , e ) 99
Answer: d
Input: Problem: calculate 469160 x 9999 = ? 
Options: a ) 4691130840 , b ) 4686970743 , c ) 4691100843 , d ) 4586870843 , e ) none
Answer: a
Input: Problem: the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 87 , and the average of the female students ’ grades was 92 , how many female students took the test ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Answer: e
Input: Problem: a palindrome is a number that reads the same forward and backward , such as 343 . how many odd , 8 - digit numbers are palindromes ? 
Options: a ) 4000 , b ) 4500 , c ) 5055 , d ) 5000 , e ) 2500
Answer: d
Input: Problem: a cube with its sides numbered 1 through 6 is rolled twice , first landing on a and then landing on b . if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6 , what is the probability t that a + b is prime ? 
Options: a ) 0 , b ) 1 / 12 , c ) 5 / 12 , d ) 7 / 18 , e ) 4 / 9
Answer: c
Input: Problem: n and m are each 3 - digit integers . each of the numbers 2 , 34 , 6 , 7 , and 8 is a digit of either n or m . what is the smallest possible positive difference between n and m ? 
Options: a ) 39 , b ) 49 , c ) 58 , d ) 113 , e ) 131
Answer: a
Input: Problem: what number is 75 more than three - fourth of itself ? 
Options: a ) 138 , b ) 225 , c ) 300 , d ) 324 , e ) 336
Answer: c
Input: Problem: how much water must be added to 60 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ? 
Options: a ) 10 litres , b ) 12 litres , c ) 15 litres , d ) 18 litres , e ) none of these
Answer: c
Input: Problem: if one root of the equation 2 x ^ 2 + 3 x – k = 0 is 5 , what is the value of k ? 
Options: a ) 65 , b ) 79 , c ) 68 , d ) 87 , e ) 90
Answer: a
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 r did bob receive ? 
Options: a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 52
Answer: b
Input: Problem: if 2 ^ y = 4 ^ ( 5 x + 3 ) and 3 ^ ( x - 7 ) = 9 ^ y , what is the value of x + y ? 
Options: a ) - 10 , b ) - 5 , c ) - 4 , d ) 3 , e ) 7
Answer: b
Input: Problem: a number when divided by 342 gives a remainder 47 . when the same number ift divided by 19 , what would be the remainder ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 21 , e ) 14
Answer: c
Input: Problem: if the average of 16 x and 8 y is greater than 80 , and x is twice y , what is the least integer value of x ? 
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Answer: a
Input: Problem: what is the remainder if 7 ^ 8 is divided by 100 ? 
Options: a ) 7 , b ) 1 , c ) 9 , d ) 10 , e ) 11
Answer: b
Input: Problem: the average of first 40 prime numbers is ? 
Options: a ) 15.41 , b ) 16.41 , c ) 15.61 , d ) 15 , e ) 16.91
Answer: b
Input: Problem: a salesman ' s income consists of a commission and a base salary of $ 450 per week . over the past 5 weeks , his weekly income totals have been $ 406 , $ 413 , $ 420 , $ 436 and $ 395 . what must his average ( arithmetic mean ) commission be per week over the next two weeks so that his average weekly income is $ 500 over the 7 - week period ? 
Options: a ) $ 150 , b ) $ 245 , c ) $ 365 , d ) $ 715 , e ) $ 265
Answer: e
Input: Problem: 8 / 4 / 2 = ? 
Options: a ) 0 , b ) 2 , c ) 5 , d ) 4 , e ) 1
Answer: e
Input: Problem: when n is divided by 20 , the remainder is 6 . what is the remainder when n + 16 is divided by 5 ? 
Options: a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: a