niryuu/sni-each-converted huggingface dataset:
Problem: what is the 99 th digit after the decimal point in the decimal expansion of 2 / 9 + 3 / 11 ? 
Options: a ) 1 , b ) 2 , c ) 4 , d ) 7 , e ) 9
Output: c
Problem: an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 22932 / - in 3 years at the same rate of interest . find the rate percentage ? 
Options: a ) 5 % , b ) 7 % , c ) 9 % , d ) 11 % , e ) 30 %
Output: e
Problem: the line y = 5 x / 3 + b goes through the point ( 7 , – 1 ) . what is the value of b ? 
Options: a ) 3 , b ) – 5 / 3 , c ) – 7 / 5 , d ) 16 / 3 , e ) – 38 / 3
Output: e
Problem: what is the sum of all remainders obtained when the first 100 natural numbers are divided by 8 ? 
Options: a ) 397 , b ) 401 , c ) 403 , d ) 405 , e ) 399
Output: b
Problem: if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of rs . 6600 ? 
Options: a ) 11 , b ) 13 , c ) 14 , d ) 18 , e ) 10
Output: a
Problem: the average of 6 no . ' s is 3.95 . the average of 2 of them is 3.8 , while the average of theother 2 is 3.85 . what is the average of the remaining 2 no ' s ? 
Options: a ) 4.2 , b ) 4.4 , c ) 4.6 , d ) 5.6 , e ) 5.7
Output: a
Problem: 11 friends went to a hotel and decided to pay the bill amount equally . but 10 of them could pay rs . 60 each as a result 11 th has to pay rs . 50 extra than his share . find the amount paid by him . 
Options: a ) 110 , b ) 111 , c ) 115 , d ) 123 , e ) none
Output: c
Problem: a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 61 , how many questions did student a answer correctly ? 
Options: a ) 55 , b ) 60 , c ) 73 , d ) 81 , e ) 87
Output: e
Problem: everyone shakes hands with everyone else in a room . total number of handshakes is 120 . number of persons = ? 
Options: a ) a . 14 , b ) b . 12 , c ) c . 11 , d ) d . 15 , e ) e . 16
Output: e
Problem: if 4 x + y + z = 80 , 2 x - y - z = 4003 x + y - z = 20 for integers of x , y and z , find x = ? 
Options: a ) 10 , b ) 20 , c ) 15 , d ) 26 , e ) 18
Output: b
Problem: what is the smallest positive integer k such that the product of 61347 x k is a perfect square ? 
Options: a ) 3 , b ) 9 , c ) 15 , d ) 25 , e ) 63
Output: a
Problem: the average salary of all the workers in a workshop is rs . 9000 . the average salary of 6 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is ? 
Options: a ) a ) 23 , b ) b ) 21 , c ) c ) 52 , d ) d ) 56 , e ) e ) 12
Output: e
Problem: at a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint . verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint . how many liters of yellow paint must be added to 35 liters of forest green to change it to verdant green ? 
Options: a ) 1 / 3 , b ) 2 / 3 , c ) 4 / 3 , d ) 35 / 3 , e ) 10 / 3
Output: d
Problem: chocolate bars are sold in packages of 4 or 9 only . if mark bought 97 chocolate bars exactly , what could be the number of large packs mark bought ? 
Options: a ) 3 , b ) 4 , c ) 8 , d ) 9 , e ) 13
Output: d
Problem: a container holds 4 quarts of diesel and 4 quarts of petrol . how many quarts of water must be added to the container to create a mixture that is 3 parts dieselto 5 parts water by petrol ? 
Options: a ) 4 / 3 , b ) 5 / 3 , c ) 7 / 3 , d ) 8 / 3 , e ) 10 / 3
Output: d
Problem: a , b and c have rs . 500 between them , a and c together have rs . 200 and b and c rs . 340 . how much does c have ? 
Options: a ) 50 , b ) 40 , c ) 267 , d ) 29 , e ) 27
Output: b
Problem: the average ( arithmetic mean ) of 7 , 8 , 10 and 11 equals the average of 2 , 9 , 13 , and 
Options: a ) 7 , b ) 9 , c ) 10 , d ) 12 , e ) 13
Output: d
Problem: sandy bought 65 books for $ 1480 from one shop and 55 books for $ 920 from another shop . what is the average price that sandy paid per book ? 
Options: a ) $ 38 , b ) $ 18 , c ) $ 99 , d ) $ 27 , e ) $ 20
Output: e
Problem: the average weight of a , b , c is 45 kg . the avg wgt of a & b be 40 kg & that of b , c be 43 kg . find the wgt of b . 
Options: a ) 36 kg , b ) 84 kg , c ) 31 kg , d ) 45 kg , e ) 12 kg
Output: b
Problem: how many multiples of 2 are there between 1 and 58 , exclusive ? 
Options: a ) 21 , b ) 22 , c ) 24 , d ) 26 , e ) 28
Output: e
Problem: in a group of cows and chickens , the number of legs was 10 more than twice the number of heads . the number of cows was : 
Options: a ) 5 , b ) 7 , c ) 10 , d ) 12 , e ) 14
Output: a
Problem: 1393 x 1393 = ? 
Options: a ) a ) 1951609 , b ) b ) 1951601 , c ) c ) 1940449 , d ) d ) 1951603 , e ) e ) 1951604
Output: c
Problem: if a number p is prime , and 2 p + 5 = 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
Output: a
Problem: alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 4,400 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ? 
Options: a ) 850 , b ) 1,100 , c ) 1,700 , d ) 2,200 , e ) 3,400
Output: d
Problem: for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.988 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ? 
Options: a ) 0 , b ) 1 , c ) 27 , d ) 54 , e ) can not be determined
Output: a
Problem: elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service . elvin ' s total telephone bill for january was $ 52 and elvin ' s total telephone bill for february was 76 $ . if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january , what is elvin ' s fixed monthly charge for internet service ? 
Options: a ) $ 5 , b ) $ 10 , c ) $ 14 , d ) $ 28 , e ) $ 29
Output: d
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
Output: c
Problem: the tax on a commodity is diminished by 10 % and its consumption increases by 10 % . find the effects on revenue ? 
Options: a ) 1 % decrease , b ) 2 % increase , c ) 3 % decrease , d ) 4 % decrease , e ) none of these
Output: a
Problem: when 1 / 10 percent of 7,000 is subtracted from 1 / 10 of 7,000 , the difference is 
Options: a ) 0 , b ) 50 , c ) 450 , d ) 693 , e ) 500
Output: d
Problem: in a company of 12 employees , 5 employees earn $ 36000 , 4 employees earn $ 45000 , and the 3 highest - paid employees earn the same amount . if the average annual salary for the 12 employees is $ 47500 , what is the annual salary for each of the highest - paid employees ? 
Options: a ) $ 60,000 , b ) $ 65,000 , c ) $ 70,000 , d ) $ 75,000 , e ) $ 80,000
Output: c
Problem: an angry arjun carried some arrows for fighting with bheeshm . with half the arrows , he cut down the arrows thrown by bheeshm on him and with 6 other arrows he killed the chariot driver of bheeshm . with one arrow each he knocked down respectively the chariot , the flag and the bow of bheeshm . finally , with one more than 4 times the square root of arrows he laid bheeshm unconscious on an arrow bed . find the total number of arrows arjun had . 
Options: a ) 90 , b ) 100 , c ) 110 , d ) 120 , e ) 130
Output: b
Problem: in a competitive examination in a state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a . what was the number of candidates appeared from each state ? 
Options: a ) 8000 , b ) 7540 , c ) 6500 , d ) 9100 , e ) 6000
Output: a
Problem: if x : y = 2 : 9 , find the value of ( 2 x + 2 y ) : ( 5 x – y ) 
Options: a ) 22 : 1 , b ) 22 : 3 , c ) 7 : 1 , d ) 5 : 3 , e ) 8 : 1
Output: a
Problem: x and y are positive integers . when x is divided by 9 , the remainder is 2 , and when x is divided by 7 , the remainder is 4 . when y is divided by 11 , the remainder is 3 , and when y is divided by 13 , the remainder is 12 . what is the least possible value of y - x ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Output: c
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
Output: c
Problem: if x is 20 percent greater than 98 , then x = 
Options: a ) 68 , b ) 70.4 , c ) 86 , d ) 105.6 , e ) 117.6
Output: e
Problem: what is the unit ’ s digit of 7 ^ 7 
Options: a ) 9 , b ) 5 , c ) 3 , d ) 7 , e ) 1
Output: c
Problem: we have boxes colored either red or blue . in each blue box there is a fixed number of blueberries . in each red box there is a fixed number of strawberries . if we dispose of one blue box for one additional red box , the total number of berries would increase by 10 , and the difference between the total number of strawberries and the total number of blueberries would increase by 50 . each blue box contains how many blueberries ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Output: c
Problem: a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 355 tickets were sold for a total cost of $ 3,320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ? 
Options: a ) 90 , b ) 115 , c ) 120 , d ) 130 , e ) 220
Output: b
Problem: the price of a cycle is reduced by 25 per cent . the new price is reduced by a further 70 per cent . the two reductions together are equal to a single reduction of 
Options: a ) 45 % , b ) 40 % , c ) 35 % , d ) 77.5 % , e ) 30 %
Output: d
Problem: each machine of type a has 2 steel parts and 2 chrome parts . each machine of type b has 6 steel parts and 5 chrome parts . if a certain group of type a and type b machines has a total of 20 steel parts and 22 chrome parts , how many machines are in the group 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 7
Output: e
Problem: what is the minimum percentage increase in the mean of set f { - 4 , - 1 , 0 , 6 , 9 } if its two smallest elements are replaced with two different primes ? 
Options: a ) 25 % , b ) 50 % , c ) 75 % , d ) 100 % , e ) 200 %
Output: d
Problem: find the quotient : 0.63 / 9 
Options: a ) 0.5 , b ) 0.3 , c ) 0.9 , d ) 0.1 , e ) 0.7
Output: e
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
Output: c
Problem: a certain experimental mathematics program was tried out in 2 classes in each of 34 elementary schools and involved 40 teachers . each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3 , of the classes . if the number of teachers who taught 3 classes is n , then the least and greatest possible values of n , respectively , are 
Options: a ) 0 and 13 , b ) 0 and 14 , c ) 1 and 10 , d ) 1 and 9 , e ) 2 and 8
Output: b
Problem: find the sum of all 2 digit numbers divisible by 3 . 
Options: a ) 1565 , b ) 1665 , c ) 1300 , d ) 1448 , e ) 1465
Output: b
Problem: if i equals the sum of the even integers from 2 to 224 , inclusive , and k equals the sum of the even integers from 8 to 80 , inclusive , what is the value of i - k ? 
Options: a ) 11028 , b ) 14172 , c ) 14284 , d ) 14015 , e ) 14397
Output: a
Problem: there are , in a certain league , 20 teams , and each team face another team for a total of 10 times . how many games are played in the season ? 
Options: a ) 1900 , b ) 3600 , c ) 2400 , d ) 180 , e ) 5400
Output: a
Problem: a student appeared in the mock cat . the test paper contained 3 sections namely qa , di and va . the percentage marks in all va was equal to the average of percentage marks in all the 3 sections . coincidentally , if we reverse the digit of the percentage marks of qa we get the percentage marks of di . the percentage marks in va scored by student could be : 
Options: a ) 81 , b ) 48 , c ) 66 , d ) 69 , e ) none of these
Output: c
Problem: if n divided by 7 has a remainder of 1 , what is the remainder when 3 times n is divided by 7 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 6
Output: c
Problem: if x / 2 = y / 5 = z / 6 , then ( x + y + z ) / x is equal to : 
Options: a ) 13 , b ) 12 , c ) 15 / 2 , d ) 13 / 2 , e ) none of these
Output: d
Problem: calculate the standard deviation of each data set { 10 , 1010 , 1010 } 
Options: a ) 8.05 , b ) 9 , c ) 10 , d ) 15 , e ) 15.5
Output: a
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
Output: a
Problem: find the smallest number of four digits exactly divisible by 4 , 5,7 and 8 . 
Options: a ) 1150 , b ) 1160 , c ) 1140 , d ) 1152 , e ) 1145
Output: b
Problem: the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 19 . what is the last numbers ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 7
Output: d
Problem: the median annual household income in a certain community of 21 households is $ 50000 . if the mean r income of a household increases by 10 % per year over the next 2 years , what will the median income in the community be in 2 years ? 
Options: a ) $ 50000 , b ) $ 60000 , c ) $ 60500 , d ) $ 65000 , e ) can not be determined
Output: e
Problem: a certain no . when divided by 20 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 9
Output: a
Problem: q ' = 3 q - 3 , what is the value of ( 7 ' ) ' ? 
Options: a ) 6 , b ) 106 , c ) 206 , d ) 306 , e ) 406
Output: d
Problem: the ages of two person , differ by 20 years . if 5 years ag , the elder one be 5 times as old as the younger one their present ages ( in years ) are respectively 
Options: a ) 30 , 10 , b ) 2010 , c ) 3515 , d ) 5117 , e ) 20,17
Output: a
Problem: of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 30 grades are d ' s . what is the number of students in the course ? 
Options: a ) 80 , b ) 110 , c ) 160 , d ) 600 , e ) 400
Output: d
Problem: a man was asked to state his age in years . his reply was , ` ` take my age 6 years hence , multiply it by 6 and subtract 6 times my age 6 years ago and you will know how old i am . ' ' what was the age of the person ? 
Options: a ) 18 , b ) 92 , c ) 72 , d ) 26 , e ) 19
Output: c
Problem: a 40 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ? 
Options: a ) 810 , b ) 12 , c ) 13 , d ) 14 , e ) 16
Output: a
Problem: 0.0006688 / 0.0000120 x 17.05 = ? 
Options: a ) 450.1 , b ) 910.1 , c ) 930.1 , d ) 920.1 , e ) 950.1
Output: e
Problem: if a number p is prime , and 2 p + 3 = q , where q is also prime , then the decimal expansion of 1 / q will produce a decimal with q - 1 digits . if this method produces a decimal with 166 digits , what is the units digit of the product of p and q ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Output: a
Problem: what is the remainder when 17 ^ 200 is divided by 18 ? 
Options: a ) 3 , b ) 1 , c ) 2 , d ) 4 , e ) 7
Output: b
Problem: the sum of present age of abe and the age before 7 years is 27 . find the present age of abe . what will be his age after 7 years ? 
Options: a ) 25 , b ) 24 , c ) 27 , d ) 28 , e ) 29
Output: b
Problem: a vessel of capacity 3 litre has 25 % of alcohol and another vessel of capacity 5 litre had 40 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? 
Options: a ) 31 % . , b ) 71 % . , c ) 27.5 % . , d ) 29 % . , e ) 51 % .
Output: c
Problem: a salesman ' s income consists of a commission and a base salary of $ 350 per week . over the past 5 weeks , his weekly income totals have been $ 556 , $ 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 ) $ 290 , c ) $ 365 , d ) $ 715 , e ) $ 730
Output: b
Problem: in the coordinate plane , points ( x , 2 ) and ( 10 , y ) are on line k . if line k passes through the origin and has slope 1 / 2 , then x + y = 
Options: a ) 4.5 , b ) 7 , c ) 9 , d ) 11 , e ) 12
Output: c
Problem: there are 69 people that own pets . 15 people own only dogs , 10 people own only cats , 5 people own only cats and dogs , 3 people own cats , dogs and snakes . how many total snakes are there ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 39 , e ) 32
Output: d
Problem: what number is obtained by adding the units digits of 734 ^ 100 and 347 ^ 83 ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: c
Problem: the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 13 km / hr respectively . they will meet for the first time in ? 
Options: a ) 50 min , b ) 33 min , c ) 35 min , d ) 25 min , e ) 20 min
Output: b
Problem: given a + b = 1 , find the value of 2 a + 2 b . two solutions are presented below . only one is correct , even though both yield the correct answer . 
Options: a ) 3 , b ) 5 , c ) 4 , d ) 2 , e ) 1
Output: d
Problem: how many integers from 20 to 150 , inclusive , are divisible by 3 but not divisible by 7 ? 
Options: a ) 37 , b ) 40 , c ) 42 , d ) 45 , e ) 55
Output: a
Problem: on dividing 17698 by a certain number , we get 89 as quotient and 14 as remainder . what is the divisor ? 
Options: a ) 199 , b ) 154 , c ) 852 , d ) 741 , e ) 785
Output: a
Problem: jane started baby - sitting when she was 18 years old . whenever she baby - sat for a child , that child was no more than half her age at the time . jane is currently 32 years old , and she stopped baby - sitting 12 years ago . what is the current age of the oldest person for whom jane could have baby - sat ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Output: d
Problem: virginia , adrienne , and dennis have taught history for a combined total of 96 years . if virginia has taught for 9 more years than adrienne and for 12 fewer years than dennis , for how many years has dennis taught ? 
Options: a ) 23 , b ) 32 , c ) 35 , d ) 41 , e ) 42
Output: e
Problem: how many 3 - digit numbers can be formed from the digits 2 , 3 , 5 , 6 , 7 and 9 , which are divisible by 5 and if the repetition is allowed ? 
Options: a ) 20 , b ) 5 , c ) 10 , d ) 36 , e ) 25
Output: d
Problem: find out the c . i on rs . 6000 at 4 % p . a . compound half - yearly for 1 1 / 2 years 
Options: a ) 367.25 , b ) 306.07 , c ) 306.04 , d ) 306.03 , e ) 306.01
Output: a
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 in sales ? 
Options: a ) 2 % , b ) 17 % , c ) 20 % , d ) 65 % , e ) 83 %
Output: c
Problem: what could be the range of a set consisting of odd multiples of 5 ? 
Options: a ) 21 , b ) 24 , c ) 35 , d ) 62 , e ) 60
Output: e
Problem: a man purchased 3 blankets @ rs . 100 each , 4 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? 
Options: a ) a ) 600 , b ) b ) 350 , c ) c ) 450 , d ) d ) 470 , e ) e ) 500
Output: a
Problem: how many digits 2 ^ 1000 has ? 
Options: a ) 31 , b ) 35 , c ) 50 , d ) 99 , e ) 310
Output: e
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
Output: a
Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 120 only . men â € ™ s wages are ? 
Options: a ) 6 rs , b ) 2 rs , c ) 4 rs , d ) 9 rs , e ) 8 rs
Output: e
Problem: a parking garage rents parking spaces for $ 12 per week or $ 30 per month . how much does a person save in a year by renting by the month rather than by the week ? 
Options: a ) $ 140 , b ) $ 160 , c ) $ 220 , d ) $ 240 , e ) $ 264
Output: e
Problem: the ratio 6 : 3 expressed as a percent equals 
Options: a ) 12.5 % , b ) 40 % , c ) 80 % , d ) 200 % , e ) none
Output: d
Problem: if 15 students in a class average 75 % on an exam and 10 students average 95 % on the same exam , what is the average in percent for all 25 students ? 
Options: a ) 81 % , b ) 82 % , c ) 83 % , d ) 84 % , e ) 85 %
Output: c
Problem: find the product of the local value and absolute value of 4 in 20468 ? 
Options: a ) 1000 , b ) 1200 , c ) 1340 , d ) 1450 , e ) 1600
Output: e
Problem: a certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts , by weight . what is the number of pounds of almonds in 210 pounds of the mixture ? 
Options: a ) 150 , b ) 84 , c ) 40 , d ) 28 , e ) 20
Output: a
Problem: how many positive integers less than 50 are multiples of 6 but not multiples of 8 ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12
Output: b
Problem: tough and tricky questions : word problems . mike , sarah and david decided to club together to buy a present . each of them gave equal amount of money . luckily sarah negotiated a 20 % discount for the present so that each of them paid 4 dollars less . how much did they pay for a present ? 
Options: a ) 20 , b ) 36 , c ) 48 , d ) 60 , e ) 72
Output: c
Problem: for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 23000 , my total savings for the two - year is 
Options: a ) s . 8000 , b ) s . 9000 , c ) s . 9900 , d ) s . 9990 , e ) s . 10000
Output: a
Problem: 3 men and 3 women are lined up in a row . what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other ) 
Options: a ) 12 , b ) 15 , c ) 18 , d ) 36 , e ) 24
Output: d
Problem: a couple spent $ 211.20 in total while dining out and paid this amount using a credit card . the $ 211.20 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food . what was the actual price of the food before tax and tip ? 
Options: a ) $ 120 , b ) $ 140 , c ) $ 150 , d ) $ 160 , e ) $ 180
Output: d
Problem: a , b , c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 175 , then how much amount should c pay as his share of rent ? 
Options: a ) 23 , b ) 45 , c ) 15 , d ) 28 , e ) 18
Output: b
Problem: the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length r of a cube whose surface area is equal to 6 z ? 
Options: a ) r = 16 , b ) r = 8 √ 2 , c ) r = 8 , d ) r = 2 √ 2 , e ) ( √ 2 ) / 3
Output: d
Problem: the temperature of a certain cup of coffee 15 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit ? 
Options: a ) 65 , b ) 75 , c ) 80 , d ) 85 , e ) 90
Output: e
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 24624 , how much amount per month would he have spent on clothes and transport ? 
Options: a ) 4038 , b ) 8076 , c ) 2052 , d ) 4845.6 , e ) none of these
Output: c
Problem: there are 408 boys and 192 girls in a school which are to be divided into equal sections of either boys or girls alone . find the total number of sections thus formed . 
Options: a ) 25 , b ) 32 , c ) 35 , d ) 30 , e ) 45
Output: a
Problem: is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 27 , then how old is b ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: d
Problem: 3 numbers which are co - prime to each other are such that the product of the first two is 551 and that of the last two is 1073 . the sum of the 3 numbers is : 
Options: a ) 81 , b ) 82 , c ) 85 , d ) 90 , e ) 95
Output: c
Problem: the average of first four prime numbers greater than 20 is ? 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50
Output: c
Problem: a couple spent $ 184.80 in total while dining out and paid this amount using a credit card . the $ 184.80 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food . what was the actual price of the food before tax and tip ? 
Options: a ) $ 124 , b ) $ 132 , c ) $ 140 , d ) $ 148 , e ) $ 156
Output: c
Problem: in a group of 800 people , 1 / 5 play at least one instrument , 128 play two or more . what is the probability that one student play exactly one instrument ? 
Options: a ) 2 / 125 , b ) 3 / 125 , c ) c ) 2 / 25 , d ) 3 / 25 , e ) 1 / 25
Output: e
Problem: the average age of 17 students of a class is 17 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years , the age of the 17 th student is 
Options: a ) 62 , b ) 66 , c ) 18 , d ) 75 , e ) 12
Output: d
Problem: find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number 
Options: a ) 17 , b ) 15 , c ) 12 , d ) 8 , e ) 3
Output: e
Problem: in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 22,947 . approximately what was the percent increase ? 
Options: a ) 45 % , b ) 125 % , c ) 145 % , d ) 158 % , e ) 225 %
Output: d
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
Output: c
Problem: carina has 85 ounces of coffee divided into 5 - and 10 - ounce packages . if she has 2 more 5 - ounce packages than 10 - ounce packages , how many 10 - ounce packages does she have ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Output: a
Problem: if | y + 5 | = 8 , what is the sum of all the possible values of y ? 
Options: a ) - 14 , b ) - 13 , c ) - 8 , d ) - 12 , e ) - 10
Output: e
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
Output: a
Problem: 40 liters of a mixture is created by mixing liquid p and liquid q in the ratio 5 : 3 . how many liters of liquid q must be added to make the ratio 5 : 6 ? 
Options: a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15
Output: e
Problem: the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 47 ) is : 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 0
Output: a
Problem: if a is an integer greater than 9 but less than 26 and b is an integer greater than 14 but less than 31 , what is the range of a / b ? 
Options: a ) 1 , b ) 1 / 2 , c ) 5 / 6 , d ) 2 / 3 , e ) 4 / 3
Output: e
Problem: what least number should be added to 1015 , so that the sum is completely divisible by 25 ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 10 , e ) 5
Output: d
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
Output: a
Problem: what is remainder of the division ( 1225 * 1227 * 1229 ) / 12 ? 
Options: a ) 1 , b ) 0 , c ) 3 , d ) 2 , e ) 4
Output: c
Problem: the average weight of 5 persons increases by 1.5 kg . if a person weighing 65 kg is replaced by a new person , what could be the weight of the new person ? 
Options: a ) 76 kg , b ) 77 kg , c ) 72.5 kg , d ) data inadequate , e ) none of these
Output: c
Problem: jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 85 . if jerry wants to raise his average by 3 points , what score must he earn on the fourth test ? 
Options: a ) 97 , b ) 89 , c ) 90 , d ) 93 , e ) 95
Output: a
Problem: 8597 - ? = 7429 - 4358 
Options: a ) 3567 , b ) 6424 , c ) 6835 , d ) 5526 , e ) none of these
Output: d
Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets $ 500 more than d , what is d ' s share ? 
Options: a ) $ 1000 , b ) $ 1200 , c ) $ 1500 , d ) $ 1800 , e ) $ 2000
Output: c
Problem: find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 2 
Options: a ) 26 , b ) 22 , c ) 25 , d ) 27 , e ) 29
Output: e
Problem: the ratio w , by volume of soap to alcohol to water in a 76 litre solution is 2 : 50 : 100 . the solution is then altered by adding more soap , alcohol and water . after this alteration the ratio , by volume of soap to water in the solution doubles whereas the ratio , by volume of soap to water remains the same as before . what could be the resulting volume . 
Options: a ) 79 litres , b ) 78 litres , c ) 77 litres , d ) 152 liters , e ) 304 litres
Output: c
Problem: if m and n are positive integers and m ^ 2 + n ^ 2 = 137 , what is the value of m ^ 3 + n ^ 3 ? 
Options: a ) 72 , b ) 224 , c ) 320 , d ) 512 , e ) 1,395
Output: e
Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 40 % 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 ) 33 % , e ) can not be determined
Output: d
Problem: in a house a hall is 20 m long , 15 m wide and 5 m high . its interior has to be covered with mat . what will be the total expenditure if it costs rs . 10 per square m ? 
Options: a ) s . 9500 , b ) s . 50000 , c ) s . 57000 , d ) s . 60000 , e ) s . 62000
Output: a
Problem: in 70 liters of a mixture of milk and water , the quantity of water is 10 % . how much water should be added so that new mixture may 25 % water . 
Options: a ) 14 , b ) 15 , c ) 16 , d ) 17 , e ) 18
Output: a
Problem: john has exactly 31 pens , and each pen is either bule , black , or red . if he has 5 more black pens than red pens , and twice as many blue pens as black pens , how many blue pens does john has ? 
Options: a ) 15 , b ) 18 , c ) 20 , d ) 22 , e ) 17
Output: b
Problem: in a division , divident is 686 , divisior is 36 and quotient is 19 . find the remainder . 
Options: a ) a ) 4 , b ) b ) 3 , c ) c ) 2 , d ) d ) 5 , e ) e ) 6
Output: c
Problem: a man can swim in still water at 9 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ? 
Options: a ) 1.7 , b ) 1.9 , c ) 3 , d ) 1.5 , e ) 1.2
Output: c
Problem: the value of ( ( x – y ) ³ + ( y - z ) ³ + ( z – x ) ³ ) / ( 15 ( x – y ) ( y – z ) ( z – x ) ) is equal to : 
Options: a ) 0 , b ) 1 / 12 , c ) 1 , d ) 1 / 5 , e ) 1 / 3
Output: d
Problem: a container holds 4 quarts of alcohol and 4 quarts of water . how many quarts of water must be added to the container to create a mixture that is 3 parts alcohol to 5 parts water by volume ? 
Options: a ) 4 / 3 , b ) 5 / 3 , c ) 7 / 3 , d ) 8 / 3 , e ) 10 / 3
Output: d
Problem: if n is a prime number greater than 4 , what is the remainder when n ^ 2 is divided by 12 ? 
Options: a ) 0 , b ) 2 , c ) 1 , d ) 3 , e ) 5
Output: c
Problem: the average of first seven multiples of 8 is : 
Options: a ) 9 , b ) 16 , c ) 15 , d ) 32 , e ) 10
Output: d
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 83 , 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 ) 21 , e ) 28
Output: e
Problem: the difference between compound and simple interest on a certain sum of money for 3 years at 6 2 / 3 % p . a is rs . 184 . find the sum ? 
Options: a ) 33772 , b ) 26782 , c ) 26788 , d ) 13500 , e ) 27761
Output: d
Problem: is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 32 , then how old is b ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 12
Output: e
Problem: if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 690 , what is the least possible value of n ? 
Options: a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 23
Output: e
Problem: if 6 / w + 6 / x = 6 / y and wx = y , then the average ( arithmetic mean ) of w and x is 
Options: a ) 1 / 2 , b ) 1 , c ) 2 , d ) 4 , e ) 8
Output: a
Problem: which is the least number that must be subtracted from 1256 so that the remainder when divided by 7 , 12 , 16 is 4 ? 
Options: a ) 242 , b ) 232 , c ) 236 , d ) 240 , e ) 244
Output: e
Problem: 107 ã — 107 + 93 ã — 93 = ? 
Options: a ) 20198 , b ) 20098 , c ) 20000 , d ) 20088 , e ) 20085
Output: b
Problem: if each digit in the set a = { 1 , 2 , 3 , 4 , 5 , 6 , 7 } is used exactly once , in how many ways can the digits be arranged ? 
Options: a ) 4830 , b ) 5040 , c ) 5250 , d ) 5460 , e ) 5680
Output: b
Problem: reeya obtained 65 , 67 , 76 , 82 and 85 out of 100 in different subjects , what will be the average 
Options: a ) 70 , b ) 75 , c ) 80 , d ) 85 , e ) 60
Output: b
Problem: what number times ( 1 ⁄ 5 ) ^ 2 will give the value of 5 ^ 3 ? 
Options: a ) 5 , b ) 25 , c ) 125 , d ) 625 , e ) 3125
Output: e
Problem: a man is 30 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is 
Options: a ) 28 years , b ) 22 years , c ) 23 years , d ) 24 years , e ) 26 years
Output: a
Problem: solve the equation for x : 6 x - 47 + 3 x = 4 + 9 - x 
Options: a ) 4 , b ) 5 , c ) 7 , d ) 9 , e ) 6
Output: e
Problem: the sum of three consecutive multiples of 3 is 72 . what is the largest number ? 
Options: a ) 21 , b ) 24 , c ) 27 , d ) 36 , e ) 39
Output: c
Problem: the positive value of x that satisfies the equation ( 3 + 2 x ) ^ 5 = ( 1 + 3 x ) ^ 4 is between bunuel , can you please explain this one ? 
Options: a ) 0 and 0.5 , b ) 0.5 and 1 , c ) 1 and 1.5 , d ) 1.5 and 2 , e ) 2 and 2.5
Output: d
Problem: a company decreased the price of its main product by 75 % . subsequently , the number of units sold increased such that the total revenue remained unchanged . what was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product ? 
Options: a ) 1.33 , b ) 2.33 , c ) 3.33 , d ) 4.33 , e ) 1.45
Output: a
Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 9 will be equal to : 
Options: a ) 3 , b ) 6 , c ) 1 / 9 , d ) 1 / 3 , e ) 9
Output: c
Problem: what is the least number to be added to 661 to make it a perfect square ? 
Options: a ) 13 , b ) 15 , c ) 20 , d ) 16 , e ) 45
Output: b
Problem: sum of the squares of 3 no . ' s is 179 and the sum of their products taken two at a time is 131 . find the sum ? 
Options: a ) 20 , b ) 21 , c ) 26 , d ) 28 , e ) 30
Output: b
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 q should the number of hours worked be increased ? 
Options: a ) 12.5 % , b ) 20 % , c ) 25 % , d ) 50 % , e ) 100 %
Output: c
Problem: if xy > 0 , 1 / x + 1 / y = 2 , and 1 / xy = 8 , then ( x + y ) / 4 = ? 
Options: a ) 1 / 16 , b ) 1 / 6 , c ) 1 / 5 , d ) 5 , e ) 6
Output: a
Problem: how many digits are in ( 8 × 10 ^ 14 ) ( 10 × 10 ^ 10 ) ? 
Options: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28
Output: c
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
Output: c
Problem: machine m , n , o working simultaneously machine m can produce x units in 3 / 4 of the time it takes machine n to produce the same amount of units . machine n can produce x units in 2 / 7 the time it takes machine o to produce that amount of units . if all 3 machines are working simultaneously , what fraction of the total output is produced by machine n ? 
Options: a ) 1 / 2 , b ) 7 / 13 , c ) 4 / 13 , d ) 8 / 29 , e ) 6 / 33
Output: b
Problem: a man can row 3.6 km / hr in still water . it takes him twice as long to row upstream as to row downstream . what is the rate of the current ? 
Options: a ) 1.9 , b ) 1.7 , c ) 1.2 , d ) 1.5 , e ) 1.1
Output: c
Problem: if 4 xz + yw = 3 and xw + yz = 6 , what is the value of the expression ( 2 x + y ) ( 2 z + w ) ? 
Options: a ) 9 . , b ) 12 . , c ) 15 . , d ) 16 , e ) 18 .
Output: c
Problem: what is the sum of the local values of the digits 2 , 3 , 4 , 5 in the number 2345 ? 
Options: a ) 2345 , b ) 4500 , c ) 5000 , d ) 6000 , e ) 7000
Output: a
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 %
Output: c
Problem: the average weight of 6 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? 
Options: a ) 76 kg , b ) 80 kg , c ) 85 kg , d ) data inadequate , e ) none of these
Output: b
Problem: find the smallest number of 6 digits which is exactly divisible by 111 . 
Options: a ) 100011 , b ) 111111 , c ) 101111 , d ) 201111 , e ) 211111
Output: a
Problem: what is the value of 4 ^ 5 + 4 ^ 8 ? 
Options: a ) 4 ^ 12 , b ) 4 ^ 35 , c ) 17 ( 4 ^ 5 ) , d ) 8 ^ 12 , e ) 65 ( 4 ^ 5 )
Output: e
Problem: if a : b = 3 : 4 , b : c = 7 : 9 , c : d = 5 : 7 , find a : d ? 
Options: a ) 5 / 12 , b ) 5 / 15 , c ) 5 / 10 , d ) 5 / 11 , e ) 5 / 13
Output: a
Problem: out of 3 consecutive odd numbers 8 times the first number is equal to addition of thrice the third number and adding 5 to twice the second . what is the first number ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Output: c
Problem: a trained covered x km at 40 kmph and another 4 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km . 
Options: a ) 11.33 kmph , b ) 12.33 kmph , c ) 13.33 kmph , d ) 14.33 kmph , e ) 23.33 kmph
Output: c
Problem: the average weight of 9 person ' s increases by 5.5 kg when a new person comes in place of one of them weighing 86 kg . what might be the weight of the new person ? 
Options: a ) 72 kg , b ) 77.5 kg , c ) 135.5 kg , d ) data inadequate , e ) none of these
Output: c
Problem: the monthly salaries of 6 employees in a company are $ 1000 , $ 2500 , $ 3100 , $ 3650 , $ 1500 , $ 2000 . what is the mean of the salaries of 6 employees . 
Options: a ) $ 2291.7 , b ) $ 1546.8 , c ) $ 2546.5 , d ) $ 1879.3 , e ) $ 3125.3
Output: a
Problem: the sum of the numbers is 220 . if the first number be twice the second and third number be one - third of the first , then the second number is : 
Options: a ) 48 , b ) 54 , c ) 72 , d ) 60 , e ) 27
Output: d
Problem: ( 7895632 x 881 ) = ? 
Options: a ) 6846381250 , b ) 6584638130 , c ) 6584638135 , d ) 6584638140 , e ) 6956051792
Output: e
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 . 110000 , find the cost of a camel ? 
Options: a ) s . 9800 , b ) s . 3800 , c ) s . 9800 , d ) s . 4400 , e ) s . 6880
Output: d
Problem: in a urban village of india named ` ` owlna ' ' , 90 % people have refrigerator , 86 % people have television , 80 % people got computers and 80 % got air - conditionor . how many people ( minimum ) got all these luxury . 
Options: a ) 23 % , b ) 36 % , c ) 30 % , d ) 34 % , e ) 42 %
Output: b
Problem: if a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land tails up exactly twice in 2 consecutive flips ? 
Options: a ) 0.125 , b ) 0.25 , c ) 0.375 , d ) 0.5 , e ) 0.666
Output: b
Problem: if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value d of z - x ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Output: d
Problem: what is the sum of natural numbers between 30 and 100 
Options: a ) 4615 , b ) 4860 , c ) 5000 , d ) 5500 , e ) 5550
Output: a
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 5 ? 
Options: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 2 / 5
Output: e
Problem: a certain car uses one gallon of gasoline every 38 miles when it travels on highway , and one gallon of gasoline every 20 miles when it travels in the city . when a car travels 4 miles on highway and 4 additional miles in the city , it uses what percent more gasoline than if it travels 8 miles on the highway ? 
Options: a ) 15 % , b ) 20 % , c ) 22.5 % , d ) 45 % , e ) 50 %
Output: d
Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 12 years and that of the other 9 students is 16 years . the age of the 15 th student is ? 
Options: a ) 11 years , b ) 17 years , c ) 21 years , d ) 14 years , e ) 12 years
Output: c
Problem: in a room with 7 people , 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ? 
Options: a ) 5 / 21 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 7 , e ) 16 / 21
Output: e
Problem: 3 / 5 of all married couples have more than one child . 1 / 2 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 ) 1 / 10 , c ) 7 / 20 , d ) 3 / 5 , e ) it can not be determined from the given information .
Output: b
Problem: if 2 x + y = 4 and x + 2 y = 5 , then ( x + y ) / 3 = 
Options: a ) 1 , b ) 4 / 3 , c ) 17 / 5 , d ) 18 / 5 , e ) 4
Output: a
Problem: the difference between a 7 digit number and the number formed by reversing its digit is not a multiple of 
Options: a ) 121 , b ) 11 , c ) 9 , d ) 10 , e ) 3
Output: a
Problem: the total price of a basic computer and printer are $ 2,500 . if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer , then the price of the printer would have been 2 / 5 of that total . what was the price of the basic computer ? 
Options: a ) 1300 , b ) 1600 , c ) 1750 , d ) 1900 , e ) 2000
Output: a
Problem: the unit digit in the product ( 891 * 781 * 912 * 463 ) is : 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 8 , e ) 10
Output: c
Problem: if the remainder is 10 when positive integer n is divided by 14 , what is the remainder when n is divided by 7 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: d
Problem: a 72 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ? 
Options: a ) 8 , b ) 12 , c ) 18 , d ) 14 , e ) 16
Output: c
Problem: the average of 20 results is 65 and the average of other 65 results is 20 . what is the average of all the results ? 
Options: a ) 30 , b ) 25 , c ) 48 , d ) 50 , e ) none
Output: a
Problem: one week , a certain truck rental lot had a total of 20 trucks , all of which were on the lot monday morning . if 50 % of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week , and if there were at least 16 trucks on the lot that saturday morning , what is the greatest number of different trucks that could have been rented out during the week ? 
Options: a ) 18 , b ) 16 , c ) 12 , d ) 14 , e ) 8
Output: e
Problem: what is the least number by which 16800 must be divided to get a number perfect square 
Options: a ) 21 , b ) 42 , c ) 24 , d ) 40 , e ) 45
Output: b
Problem: x , a , z , and b are single digit positive integers . x = 1 / 8 a . z = 1 / 8 b . ( 10 a + b ) – ( 10 x + z ) could not equal 
Options: a ) 28 , b ) 35 , c ) 49 , d ) 63 , e ) 55
Output: e
Problem: on a two - dimensional coordinate plane , the line s = x ^ 2 - x ^ 3 touches the x - axis in how many places ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: c
Problem: the average weight of 8 person ' s increases by 2 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? 
Options: a ) 70 kg , b ) 80 kg , c ) 81 kg , d ) 90 kg , e ) 91 kg
Output: c
Problem: john has 10 pairs of matched socks . if he loses 3 individual socks , what is the greatest number of pairs of matched socks he can have left ? 
Options: a ) 7 , b ) 8 , c ) 5 , d ) 4 , e ) 3
Output: b
Problem: what is the total number of integers between 20 and 100 that are divisible by 9 ? 
Options: a ) 5 , b ) 15 , c ) 12 , d ) 7 , e ) 9
Output: e
Problem: the population of locusts in a certain swarm doubles every two hours . if 4 hours ago there were 1,000 locusts in the swarm , in approximately how many hours will the swarm population exceed 32,000 locusts ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 9
Output: c
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
Output: d
Problem: a corporation that had $ 115.19 billion in profits for the year paid out $ 230.10 million in employee benefits . approximately what percent of the profits were the employee benefits ? ( note : 1 billion = 10 ^ 9 ) 
Options: a ) 50 % , b ) 20 % , c ) 5 % , d ) 2 % , e ) 0.2 %
Output: e
Problem: a dog is tied to a tree by a long nylon cord . if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items , and the dog ran approximately 30 feet , what was the approximate length of the nylon cord w , in feet ? 
Options: a ) 30 , b ) 25 , c ) 15 , d ) 10 , e ) 5
Output: d
Problem: a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 400 and $ 350 per unit , respectively . what is the fewest number of computer printers that the company can purchase ? 
Options: a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 19
Output: c
Problem: the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 13 and 31 inclusive . 
Options: a ) 220 , b ) 364 , c ) 410 , d ) 424 , e ) 450
Output: a
Problem: tough and tricky questions : functions . let a be a positive integer . let n # a equal n ^ ( 2 a ) if a is odd and n ^ ( 3 a ) if a is even . then ( 2 # 3 ) + ( 2 # 3 ) – ( 3 # 3 ) is equal to 
Options: a ) 64 , b ) 82 , c ) 128 , d ) 729 , e ) 1522
Output: d
Problem: suraj has a certain average of runs for 16 innings . in the 17 th innings he scores 112 runs thereby increasing his average by 6 runs . what is his average after the 17 th innings ? 
Options: a ) 18 , b ) 25 , c ) 16 , d ) 72 , e ) 27
Output: c