Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: of the 3,600 employees of company x , 1 / 3 are clerical . if the clerical staff were to be reduced by 1 / 3 , what percent of the total number of the remaining employees would then be clerical ? 
Options: a ) 25 % , b ) 22.2 % , c ) 20 % , d ) 12.5 % , e ) 11.1 %
Answer: a
Input: Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 90 . he was allowed to drop his lowest score . after doing so , his average test score improved to 95 . what is the lowest test score that was dropped ? 
Options: a ) 20 , b ) 25 , c ) 55 , d ) 75 , e ) 80
Answer: d
Input: Problem: sum of two numbers is 25 and their difference is 13 . find their product . 
Options: a ) 104 , b ) 108 , c ) 114 , d ) 124 , e ) 142
Answer: c
Input: Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 2 per unit . further , the manufacturer has costs of $ 16,200 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? 
Options: a ) $ 28 , b ) $ 82 , c ) $ 110 , d ) $ 190 , e ) $ 192
Answer: d
Input: Problem: of the families in city x in 2000 , 30 percent owned a personal computer . the number of families in city x owning a computer in 2004 was 20 percent greater than it was in 1994 , and the total number of families in city x was 10 percent greater in 2004 than it was in 2000 . what percent of the families in city x owned a personal computer in 1998 ? 
Options: a ) 55.42 % , b ) 52.25 % , c ) 56.23 % , d ) 30.70 % , e ) 32.72 %
Answer: e
Input: Problem: a soft drink company had 6000 small and 15000 big bottles in storage . if 12 % of small 14 % of big bottles have been sold , then the total bottles remaining in storage is 
Options: a ) 15360 , b ) 16010 , c ) 18180 , d ) 14930 , e ) 16075
Answer: c
Input: Problem: a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 4 students left over . what is the sum of the two smallest possible values of n ? 
Options: a ) 30 , b ) 34 , c ) 38 , d ) 42 , e ) 46
Answer: c
Input: Problem: 14 . the sum and the product of two numbers are 25 and 144 respectively , the difference of the number is ? 
Options: a ) 7 , b ) 9 , c ) 8 , d ) 5 , e ) 4
Answer: a
Input: Problem: how many e ways can jason sit with his 5 friends in a row of 6 seats with an aisle on either side of the row , if jason insists on sitting next to one of the aisles ? 
Options: a ) 120 , b ) 240 , c ) 360 , d ) 540 , e ) 720
Answer: b
Input: Problem: rebecca ' s annual income is $ 20 , and jimmy ' s annual income is $ 10 , . by how much must rebecca ' s annual income increase so that it constitutes 55 % of rebecca and jimmy ' s combined income ? 
Options: a ) 8 , b ) 9 , c ) 7.77 , d ) 10 , e ) 11
Answer: c
Input: Problem: 4 shepherds were watching over the flocks and they were commenting on how many sheep they each had . if ram had 3 more sheep than he would have one less than rahul . wheras akar has the same number as the other 3 shepherds put togeher . if john had 3 less sheep he would have exactly trile the number of ram . if they were evenly distributed if they would each have 11 seep how many sheep did ram have ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: b
Input: Problem: company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 1.6 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? 
Options: a ) 7 / 17 , b ) 14 / 31 , c ) 7 / 15 , d ) 17 / 35 , e ) 1 / 2
Answer: e
Input: 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
Answer: b
Input: Problem: a number when divided by 221 gives a remainder 43 , what remainder will be obtained by dividing the same number 17 ? 
Options: a ) 9 , b ) 11 , c ) 15 , d ) 5 , e ) 20
Answer: a
Input: Problem: how many integerskgreater than 100 and less than 700 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ? 
Options: a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90
Answer: a
Input: Problem: pradeep has to obtain 20 % of the total marks to pass . he got 160 marks and failed by 25 marks . the maximum marks are 
Options: a ) 1925 , b ) 600 , c ) 925 , d ) 1325 , e ) 900
Answer: c
Input: Problem: when the positive integer x is divided by 9 , the remainder is 5 . what is the remainder when 5 x is divided by 9 ? 
Options: a ) 0 , b ) 1 , c ) 3 , d ) 4 , e ) 7
Answer: e
Input: Problem: a bucket full of nuts was discovered by the crow living in the basement . the crow eats a sixth of the total number of nuts in 4 hours . how many hours i total will it take the crow to finish a quarter of the nuts ? 
Options: a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14
Answer: a
Input: Problem: a new home buyer pays 4 % annual interest on her first mortgage and 9 % annual interest on her second mortgage . if she borrowed a total of $ 310000 , 80 % of which was in the first mortgage , what is her approximate monthly interest payment ? 
Options: a ) $ 1,292 , b ) $ 1,733 , c ) $ 3,466 , d ) $ 12,917 , e ) $ 20,796
Answer: a
Input: Problem: how many 4 - digit numbers that do not contain the digits 2 , 3 , 4 , 5 , 6 , or 7 are there ? 
Options: a ) 168 , b ) 176 , c ) 184 , d ) 192 , e ) 200
Answer: d
Input: Problem: the cost per unit of electricity during a 4 year period is as follows : year 1 , $ 3 per unit ; year 2 , $ 4 per unit ; year 3 , $ 5 per unit ; year 4 , $ 6 per unit . if a factory spent equal dollars on electricity each year , what was the average cost of a unit of electricity during the 4 year period ? 
Options: a ) $ 4.31 , b ) $ 4.51 , c ) $ 4.21 , d ) $ 5.21 , e ) $ 5.61
Answer: c
Input: Problem: a store owner estimates that the average price of type a products will increase by 20 % next year and that the price of type b products will increase by 11 % next year . this year , the total amount paid for type a products was $ 3500 and the total price paid for type b products was $ 8600 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ? 
Options: a ) $ 13,746 , b ) $ 15,325 , c ) $ 16,000 , d ) $ 16,225 , e ) $ 17,155
Answer: a
Input: Problem: the average of 10 numbers is calculated as 16 . it is discovered later on that while calculating the average , the number 45 was incorrectly read as 25 , and this incorrect number was used in the calculation . what is the correct average ? 
Options: a ) 17 , b ) 18 , c ) 22 , d ) 26 , e ) 36
Answer: b
Input: Problem: of all the students in a certain dormitory , 1 / 2 are first - year students and the rest are second - year students . if 4 / 5 of the first - year students have not declared a major and if the fraction of second - year students who have declared a major is 1 / 3 times the fraction of first - year students who have declared a major , what fraction of all the students in the dormitory are second - year students who have not declared a major ? 
Options: a ) 7 / 15 , b ) 1 / 5 , c ) 4 / 15 , d ) 1 / 3 , e ) 2 / 5
Answer: a
Input: Problem: 90 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ? 
Options: a ) 66 , b ) 35 , c ) 42 , d ) 27 , e ) 11
Answer: b
Input: Problem: calculate the share of y , if rs . 2880 is divided among x , y and z in the ratio 3 : 5 : 8 ? 
Options: a ) 540 , b ) 520 , c ) 140 , d ) 560 , e ) 240
Answer: a
Input: Problem: average age of students of an adult school is 42 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students . 
Options: a ) 1200 , b ) 120 , c ) 360 , d ) 200 , e ) none of these
Answer: d
Input: Problem: what is the total number of integers between 10 and 100 ( exclusive ) that are divisible by 7 ? 
Options: a ) 10 , b ) 13 , c ) 15 , d ) 12 , e ) 11
Answer: b
Input: Problem: a mixture contains alcohol and water in the ratio 4 : 3 . if 8 litres of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture 
Options: a ) 15 litres , b ) 10 litres , c ) 30 litres , d ) 22 litres , e ) 16 litres
Answer: e
Input: Problem: set j consists of 18 consecutive even numbers . if the smallest term in the set is - 22 , what is the range of the positive integers in set j ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Answer: e
Input: Problem: if p is the product of the integers from 1 to 32 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of p ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Answer: c
Input: Problem: what is the difference between the place value and the face value of 7 in the numeral 297832 ? 
Options: a ) none of these , b ) 5993 , c ) 994 , d ) 5994 , e ) 995
Answer: b
Input: Problem: the total cost of a vacation was divided among 3 people . if the total cost of the vacation had been divided equally among 4 people , the cost per person would have been $ 60 less . what was the total cost cost of the vacation ? 
Options: a ) $ 200 , b ) $ 300 , c ) $ 400 , d ) $ 720 , e ) $ 600
Answer: d
Input: Problem: how many integers between 324,805 and 458,705 have tens digit 2 and units digit 3 ? 
Options: a ) 1,352 , b ) 1,359 , c ) 1,329 , d ) 1,349 , e ) 1,348
Answer: d
Input: Problem: if a and b are the roots of the equation x 2 - 4 x + 4 = 0 , then the value of a 2 + b 2 is : 
Options: a ) 36 , b ) 24 , c ) 17 , d ) 8 , e ) 5
Answer: d
Input: 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
Answer: e
Input: Problem: a 40 - liter solution of alcohol and water is 5 percent alcohol . if 4.5 liters of alcohol and 5.5 liters of water are added to this solution , what percent of the solution produced is alcohol ? 
Options: a ) 7 % , b ) 10 % , c ) 13 % , d ) 16 % , e ) 19 %
Answer: c
Input: Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 4 per unit . further , the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? 
Options: a ) $ 28 , b ) $ 82 , c ) $ 110 , d ) $ 138 , e ) $ 194
Answer: e
Input: Problem: for a recipe for triple berry pie calls for cups of strawberries , raspberries , and blueberries in a ratio of 1 : 2 : 3 . how many total cups of fruit will you need to make the pie ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Answer: e
Input: Problem: a 4 digit number is such that the product of all of its digits is 126 . the sum of all the digits is equal to the 2 digit number formed by using thousands digit and tens digit ( 1000 digit in tens place & 10 digit in units place ) which in turn is equal to 19 . then difference of units and 1000 place of the number is , given that this difference is positive . 
Options: a ) 1692 , b ) 1792 , c ) 1795 , d ) 1892 , e ) 1992
Answer: b
Input: Problem: of 61 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 ) 53 , b ) 55 , c ) 59 , d ) 71 , e ) 92
Answer: a
Input: Problem: the largest natural number by which the product of 3 consecutive even natural numbers is always divisible , is 
Options: a ) 16 , b ) 24 , c ) 48 , d ) 96 , e ) 78
Answer: c
Input: Problem: in a fuel station the service costs $ 1.50 per car , every liter of fuel costs 0.35 $ . assuming that you own 3 limos and 2 fleet vans and all fuel tanks are empty . how much will it cost to fuel all cars together if a limo tank is 32 liters and an fleet van tank is 75 % bigger ? 
Options: a ) $ 78.80 , b ) $ 79.80 , c ) $ 78.90 , d ) $ 79.90 , e ) $ 77.80
Answer: a
Input: Problem: a person travels from p to q a speed of 60 km / hr and returns by increasing his speed by 50 % . what is his average speed for both the trips ? 
Options: a ) 33 , b ) 75 , c ) 48 , d ) 99 , e ) 21
Answer: b
Input: Problem: a certain taxi company charges $ 2.50 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile . what would this company charge for a taxi ride that was 8 miles long ? 
Options: a ) 15.6 , b ) 18.1 , c ) 17.5 , d ) 18.7 , e ) 19.1
Answer: b
Input: Problem: a mixture contains alcohol and water in the ratio 4 : 3 . if 10 litres of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture 
Options: a ) 15 litres , b ) 10 litres , c ) 30 litres , d ) 20 litres , e ) 8 litres
Answer: d
Input: Problem: what is the area inscribed by the lines y = 3 , x = 2 , y = x + 3 on an xy - coordinate plane ? 
Options: a ) a ) 1 , b ) b ) 2 , c ) c ) 4 , d ) d ) 6 , e ) e ) 10
Answer: b
Input: Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.1 years , the ratio of the number of boys to the number of girls in the class is 
Options: a ) 7 : 6 , b ) 2 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 2 : 5
Answer: a
Input: Problem: 8 k 8 + k 88 - - - - - - - - 16 t 6 if k and t represent non - zero digits within the integers above , what is t ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 17
Answer: a
Input: Problem: an integer n between 1 and 99 , inclusive , is to be chosen at random . what is the probability that n ( n + 2 ) will be divisible by 3 ? 
Options: a ) 1 / 9 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 6
Answer: d
Input: Problem: the simple interest on a sum of money will be rs . 500 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 ) 2261 , b ) 2888 , c ) 1200 , d ) 2699 , e ) 900
Answer: e
Input: Problem: the difference between a two - digit number and the number obtained by interchanging the positions of its digits is 45 . what is the difference between the two digits of that number ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 9
Answer: b
Input: Problem: if a + b + c = 13 , then find the ab + bc + ca : 
Options: a ) 22 , b ) 99 , c ) 50 , d ) 29 , e ) 11
Answer: c
Input: Problem: in a certain quiz that consists of 10 questions , each question after the first is worth 4 points more than the preceding question . if the 10 questions on the quiz are worth a total of 300 points , how many points is the third question worth ? 
Options: a ) 22 , b ) 24 , c ) 26 , d ) 20 , e ) 28
Answer: d
Input: Problem: x ^ 2 + sx + 72 = 0 has two distinct integer roots ; how many values are possible for s ? 
Options: a ) 3 , b ) 6 , c ) 8 , d ) 12 , e ) 24
Answer: d
Input: Problem: if there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 40 % of the total . what fraction of the total is women who own cars ? 
Options: a ) 3 ⁄ 20 , b ) 11 ⁄ 60 , c ) 9 ⁄ 40 , d ) 1 ⁄ 5 , e ) 2 ⁄ 15
Answer: e
Input: Problem: the average height of 15 girls out of a class of 60 is 138 cm . and that of the remaining girls is 142 cm . the average height of the whole class is : 
Options: a ) 132 cms , b ) 141 cms , c ) 142 cms , d ) 152 cms , e ) 161 cms
Answer: b
Input: 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
Answer: c
Input: Problem: how many unique positive odd integers less than 60 are equal to the product of a positive multiple of 5 and an odd number ? 
Options: a ) 4 , b ) 6 , c ) 11 , d ) 12 , e ) 15
Answer: b
Input: Problem: what is the units digit of 17 ^ 73 × 13 ^ 82 × 11 ^ 87 ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: e
Input: Problem: if x = 1 - 4 t and y = 2 t - 2 , then for what value of t does x = y ? 
Options: a ) 5 / 2 , b ) 1 / 2 , c ) 2 / 3 , d ) 2 / 5 , e ) 0
Answer: b
Input: Problem: if m is the average ( arithmetic mean ) of the first 10 positive multiples of 3 and if m is the median of the first 10 positive multiples of 3 , what is the value of m – m ? 
Options: a ) – 5 , b ) 5 , c ) 0 , d ) 25 , e ) 27.5
Answer: c
Input: Problem: if 2 + 2 / x = 3 - 3 / x , then x = 
Options: a ) - 5 , b ) 2 / 3 , c ) 1 , d ) 3 / 2 , e ) 5
Answer: e
Input: Problem: there are 56 lights which are functional and each is controlled by a separate on / off switch . two children x and y start playing with the switches . x starts by pressing every third switch till he reaches the end . y , thereafter , presses every fifth switch till he too reaches the end . if all switches were in off position at the beggining , how many lights are switched on by the end of this operation ? 
Options: a ) 18 , b ) 19 , c ) 17 , d ) 15 , e ) 16
Answer: c
Input: Problem: in a coconut grove , ( x + 2 ) trees yield 40 nuts per year , x trees yield 120 nuts per year and ( x – 2 ) trees yield 180 nuts per year . if the average yield per year per tree be 100 , find x . 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Answer: e
Input: Problem: the average of 20 number is zero of them at the most , how many may be greater than zero ? 
Options: a ) 0 , b ) 1 , c ) 10 , d ) 19 , e ) 20
Answer: d
Input: Problem: the total circumference of two circles is 49 . if the first circle has a circumference that is exactly twice the circumference of the second circle , then what is the approximate sum of their two radii ? 
Options: a ) 7.8 , b ) 6.0 , c ) 6.7 , d ) 9.7 , e ) 18.0
Answer: a
Input: Problem: a number when divided by 4 , gives 40 as quotient and 0 as remainder . what will be the remainder when dividing the same number by 3 
Options: a ) a ) 1 , b ) b ) 3 , c ) c ) 4 , d ) d ) 6 , e ) e ) 7
Answer: a
Input: Problem: the ratio between sumit ' s and prakash ' s age at present is 2 : 3 . sumit is 6 years younger than prakash . the ratio of sumit ' s age to prakash ' s age after 6 years will be : 
Options: a ) 1 : 2 , b ) 2 : 3 , c ) 3 : 4 , d ) 3 : 8 , e ) none
Answer: c
Input: Problem: the product of a and b is equal to 12 more than twice the sum of a and b . if b = 10 , what is the value of b - a ? 
Options: a ) 2 , b ) 5 , c ) 7 , d ) 6 , e ) 35
Answer: d
Input: Problem: there are 16 bees in the hive , then 10 more fly . how many bees are there in all ? 
Options: a ) 7 , b ) 33 , c ) 12 , d ) 17 , e ) 26
Answer: e
Input: Problem: the mean of 50 observations was 36 . it was found later an observation 48 was wrongly taken as 23 . the corrected new means is : 
Options: a ) 35.2 , b ) 36.1 , c ) 36.5 , d ) 39.1 , e ) none of these
Answer: c
Input: Problem: the average marks of a class of 30 students is 40 and that of another class of 50 students is 90 . find the average marks of all the students ? 
Options: a ) 71.25 , b ) 52.9 , c ) 52.1 , d ) 52.3 , e ) 42.5
Answer: a
Input: Problem: the avg weight of a , b & c is 70 kg . if d joins the group , the avg weight of the group becomes 70 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 68 kg . what is the weight of a ? 
Options: a ) 81 , b ) 65 , c ) 75 , d ) 89 , e ) 90
Answer: a
Input: Problem: a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 40 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . ) 
Options: a ) $ 15,360 , b ) $ 17,360 , c ) $ 18,000 , d ) $ 21,360 , e ) $ 30,960
Answer: e
Input: Problem: if one person completes a journey in 10 hrs . he travels 1 st half of the journey at the rate of 21 km / hr and 2 nd half at therate of 24 km / hr . find the total journey in km . 
Options: a ) 200 km , b ) 212 km , c ) 224 km , d ) 230 km , e ) 256 km
Answer: c
Input: Problem: at the end of the month , a certain ocean desalination plant ’ s reservoir contained 30 million gallons of water . this amount is twice the normal level . if this amount represents 75 % of the reservoir ’ s total capacity , how many million gallons short of total capacity is the normal level ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Answer: c
Input: Problem: 65 % of x = 20 % of 422.50 . find the value of x ? 
Options: a ) 100 , b ) 130 , c ) 150 , d ) 180 , e ) 199
Answer: b
Input: Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 5 will be equal to : 
Options: a ) 3 , b ) 6 , c ) 1 / 9 , d ) 1 / 3 , e ) 9 / 25
Answer: e
Input: Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 40 year . what is the age of the eldest child ? 
Options: a ) 14 year , b ) 8 year , c ) 10 year , d ) none of these , e ) 9 year
Answer: a
Input: Problem: what should be the least number to be added to the 3198 number to make it divisible by 8 ? 
Options: a ) 12 , b ) 17 , c ) 2 , d ) 77 , e ) 26
Answer: c
Input: Problem: patrick purchased 90 pencils and sold them at a loss equal to the selling price of 40 pencils . the cost of 90 pencils is how many times the selling price of 90 pencils ? 
Options: a ) 0.75 , b ) 0.8 , c ) 1 , d ) 1.2 , e ) 1.44
Answer: e
Input: Problem: in a room with 8 people , 5 people have exactly 1 friend in the room and 4 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 ) 25 / 28
Answer: e
Input: Problem: the instructions state that deepthi needs 4 / 17 square yards of one type of material and 3 / 10 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 9 / 30 square yards left that she did not use . what is the total amount of square yards of material deepthi used ? 
Options: a ) 1 / 12 , b ) 4 / 17 , c ) 2 / 3 , d ) 1 1 / 9 , e ) 2 1 / 9
Answer: b
Input: Problem: find the least number which when divided by 18,32 , 48,52 leaves remainder 14,28 , 44,48 respectively . 
Options: a ) 2845 , b ) 3250 , c ) 3740 , d ) 4150 , e ) 5140
Answer: c
Input: Problem: when positive integer x is divided by positive integer y , the remainder is 9 . if x / y = 96.45 , what is the value of y ? 
Options: a ) 96 , b ) 75 , c ) 48 , d ) 20 , e ) 12
Answer: d
Input: Problem: the average age of a class of 22 students is 21 years . the average increased by 1 when the teacher ' s age also included . what is the age of the teacher ? 
Options: a ) 44 , b ) 48 , c ) 45 , d ) 43 , e ) 50
Answer: a
Input: Problem: if n is a natural number , then ( 6 n ^ 2 + 6 n ) is always divisible by : 
Options: a ) 6 , b ) 12 , c ) 24 , d ) 6 only , e ) 6 and 12 both
Answer: e
Input: Problem: on the independence day , bananas were be equally distributed among the children in a school so that each child would get two bananas . on the particular day 390 children were absent and as a result each child got two extra bananas . find the actual number of children in the school ? 
Options: a ) 237 , b ) 780 , c ) 197 , d ) 287 , e ) 720
Answer: b
Input: Problem: 9 persons went to a hotel for taking their meals . 8 of them spent rs 12 each on their meals and the ninth spent rs . 8 more than the average expenditure of all the 9 . what was the total money spent by them ? 
Options: a ) 117 , b ) 180 , c ) 150 , d ) 200 , e ) 250
Answer: a
Input: Problem: if a ( a + 7 ) = 18 and b ( b + 7 ) = 18 , where a ≠ b , then a + b = 
Options: a ) − 48 , b ) − 2 , c ) − 7 , d ) 46 , e ) 48
Answer: c
Input: Problem: if the largest 3 digit number is subtracted from the smallest 5 digit number , then the remainder is 
Options: a ) 1 , b ) 9000 , c ) 9001 , d ) 90001 , e ) none
Answer: c
Input: Problem: the area of one square is x ^ 2 + 8 x + 16 and the area of another square is 4 x ^ 2 − 20 x + 25 . if the sum of the perimeters of both squares is 44 , what is the value of x ? 
Options: a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10
Answer: b
Input: Problem: which number need to add to 172835 to get a number exactly divisible by 136 ? 
Options: a ) 27 , b ) 25 , c ) 26 , d ) 21 , e ) 24
Answer: d
Input: Problem: if x * y = xy – 2 ( x + y ) for all integers x and y , then 5 * ( – 3 ) = 
Options: a ) – 19 , b ) – 11 , c ) – 4 , d ) 4 , e ) 16
Answer: a
Input: Problem: in 1950 , richard was 4 times as old as robert . in 1955 , richard was 3 times as old as robert . in which year was richard 1.25 as old as robert ? 
Options: a ) 1960 , b ) 1965 , c ) 1970 , d ) 2050 , e ) 2060
Answer: e
Input: Problem: find the greatest number which leaves the same remainder when it divides 25 , 50 and 120 . 
Options: a ) 18 , b ) 5 , c ) 12 , d ) 16 , e ) none of these
Answer: b
Input: Problem: in a box of 12 pens , a total of 4 are defective . if a customer buys 3 pens selected at random from the box , what is the probability that neither pen will be defective ? 
Options: a ) 1 / 6 , b ) 2 / 55 , c ) 14 / 55 , d ) 12 / 55 , e ) 3 / 4
Answer: c
Input: Problem: s ( n ) is a n - digit number formed by attaching the first n perfect squares , in order , into one integer . for example , s ( 1 ) = 1 , s ( 2 ) = 14 , s ( 3 ) = 149 , s ( 4 ) = 14916 , s ( 5 ) = 1491625 , etc . how many digits r are in s ( 99 ) ? 
Options: a ) r = 350 , b ) r = 353 , c ) r = 354 , d ) r = 356 , e ) 357
Answer: b
Input: Problem: if x and y are numbers such that ( x + 5 ) ( y - 5 ) = 0 , what is the smallest possible value of x ^ 2 + y ^ 2 
Options: a ) 0 , b ) 4 , c ) 9 , d ) 25 , e ) 16
Answer: d
Input: Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 6 : 3 : 5 : 4 . if c gets rs . 1000 more than d , what is b ' s share ? 
Options: a ) 1500 , b ) 2000 , c ) 2500 , d ) 2800 , e ) 3000
Answer: e
Input: Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 35 , find the value of ab . 
Options: a ) 12 , b ) 13 , c ) 10 , d ) 18 , e ) 13
Answer: b
Input: Problem: you and your friend spent a total of $ 15 for lunch . your friend spent $ 5 more than you . how much did your friend spend on their lunch ? 
Options: a ) $ 9 , b ) $ 3 , c ) $ 4 , d ) $ 6 , e ) $ 10
Answer: e
Input: Problem: what is 3 / 5 of 5 / 7 of 2 / 3 ? 
Options: a ) 2 / 7 , b ) 3 / 8 , c ) 9 / 16 , d ) 5 / 8 , e ) 16 / 9
Answer: a
Input: Problem: what is the lowest positive integer that is divisible by 4 through 6 , inclusive ? 
Options: a ) 120 , b ) 48 , c ) 82 , d ) 76 , e ) 160
Answer: a
Input: Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 4 students is 14 years and that of the other 10 students is 16 years . the age of the 15 th student is 
Options: a ) 9 years , b ) 11 years , c ) 14 years , d ) 21 years , e ) 9 years
Answer: e
Input: Problem: in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number of employees who take the subway to work ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Answer: d
Input: Problem: if it takes a tub 5 minutes to drain 5 / 7 of its content , how much more time will it take for the tub to be empty ? 
Options: a ) 48 seconds , b ) 1 minute , 12 seconds , c ) 1 minute , 50 seconds , d ) 2 minutes , 00 seconds , e ) 4 minutes , 12 seconds
Answer: d
Input: Problem: the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 43 kg , then the weight of b is ? 
Options: a ) 24 kg , b ) 62 kg , c ) 34 kg , d ) 31 kg , e ) 37 kg
Answer: d
Input: Problem: a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 6 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she saved last year was from her take - home pay , what fraction of her take - home pay did she save each month ? 
Options: a ) 1 / 6 , b ) 1 / 5 , c ) 1 / 4 , d ) 1 / 3 , e ) 1 / 2
Answer: d
Input: Problem: if m and n are positive integers and m ^ 2 + n ^ 2 = 10 , what is the value of m ^ 3 + n ^ 3 ? 
Options: a ) 28 , b ) 224 , c ) 320 , d ) 512 , e ) 1,600
Answer: a
Input: Problem: average between two sets of numbers is closer to the set withmore numbers ? 
Options: a ) 60 , b ) 80 , c ) 98 , d ) 89 , e ) 91
Answer: b
Input: Problem: the total number of digit used in numbering the pages of a book having 366 pages , is : 
Options: a ) 732 , b ) 990 , c ) 1098 , d ) 1305 , e ) none of these
Answer: b
Input: Problem: a = 4 ^ 15 - 625 ^ 3 and a / x is an integer , where x is a positive integer greater than 1 , such that it does not have a factor p such that 1 < p < x , then how many different values for x are possible ? 
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Answer: c
Input: Problem: a man has some hens and cows . if the number of heads be 46 and the number of feet equals 140 , then the number of hens will be : 
Options: a ) 22 , b ) 23 , c ) 24 , d ) 26 , e ) 28
Answer: a
Input: Problem: 0.99999 + 0.11111 = ? 
Options: a ) 1 , b ) 1.0001 , c ) 1.0021 , d ) 1.111 , e ) 1.1111
Answer: e
Input: Problem: average monthly income of a family of 3 earning members was rs . 735 . one of the earning members died and therefore , the average income came down to rs 650 . the income of the deceased was ? 
Options: a ) rs . 692.80 , b ) rs . 905 , c ) rs . 990 , d ) rs . 1385 , e ) none
Answer: b
Input: Problem: o ( x ) represents the least odd integer greater than x , whereas o ( x ) represents the greatest odd integer less than x . likewise , e ( x ) represents the least even integer greater than x , whereas e ( x ) represents the greatest even integer less than x . according to these definitions , the value of o ( 5.3 ) + e ( – 6.7 ) + o ( – 3.3 ) + e ( 4.7 ) is : 
Options: a ) - 3 , b ) - 1 , c ) 0 , d ) 1 , e ) 3
Answer: c
Input: Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.5 for x = 0.6 ? 
Options: a ) − 0.3 , b ) 0 , c ) 0.3 , d ) 1.08 , e ) 0.5
Answer: e
Input: Problem: 23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , ( . . . ) 
Options: a ) 53 , b ) 47 , c ) 48 , d ) 59 , e ) 45
Answer: d
Input: Problem: the sum of the first 92 positive even integers is 2,550 . what is the sum of the odd integers from 101 to 200 , inclusive ? 
Options: a ) 5,050 , b ) 7,500 , c ) 10,500 , d ) 11,700 , e ) 19,600
Answer: d
Input: Problem: in 1979 approximately 1 / 3 of the 38.3 million airline passengers traveling to or from the united states used kennedy airport . if the number of such passengers that used miami airport was 1 / 2 the number that used kennedy airport and 4 times the number that used logan airport , approximately how many millions of these passengers used logan airport that year ? 
Options: a ) 18.6 , b ) 9.3 , c ) 6.2 , d ) 3.1 , e ) 1.6
Answer: e
Input: Problem: if ( - 3 ) ^ ( 2 x ) = 3 ^ ( 12 - x ) and x is an integer , what is the value of x ? 
Options: a ) 5 , b ) 4 , c ) 3 , d ) 2 , e ) 1
Answer: b
Input: Problem: 987.650 - ? + 56.98 = 126.654 
Options: a ) a ) 899.015 , b ) b ) 752.804 , c ) c ) 714.642 , d ) d ) 629.906 , e ) 917.976
Answer: e
Input: Problem: if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 4 ø 2 ) ø 3 = ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 32
Answer: a
Input: Problem: a 5 - digit number is formed by the digits 2 , 45 , 68 ( each digit used exactly once ) . what is the probability that the number formed is divisible by 4 ? 
Options: a ) 2 / 5 , b ) 3 / 5 , c ) 4 / 5 , d ) 6 / 5 , e ) 7 / 5
Answer: a
Input: Problem: the average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 8450 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ? 
Options: a ) 2177 , b ) 2876 , c ) 4700 , d ) 2981 , e ) 2711
Answer: c
Input: Problem: ( 3164 + 6160 ) / 28 
Options: a ) 380 , b ) 350 , c ) 333 , d ) 310 , e ) none of these
Answer: c
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 7000 as profit , what is their total profit ? 
Options: a ) 28000 , b ) 30000 , c ) 32000 , d ) 34000 , e ) 49000
Answer: e
Input: Problem: we bought a total of 80 books at the store . math books cost $ 4 and history books cost $ 5 . the total price was $ 368 . how many math books did we buy ? 
Options: a ) 28 , b ) 32 , c ) 36 , d ) 40 , e ) 44
Answer: b
Input: Problem: what is the units digit of ( 147 ^ 17 ) ^ 47 ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Answer: b
Input: Problem: a paint store mixes 3 / 4 pint of red paint and 2 / 3 pint of white paint to make a new paint color called perfect pink . how many pints of red paint would be needed to make 35 pints of perfect pink paint ? 
Options: a ) 9 , b ) 16 , c ) 19 , d ) 25 1 / 3 , e ) 28 1 / 2
Answer: c
Input: Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70 . in what year could a female employee hired in 1989 on her 32 nd birthday first be eligible to retire under this provision ? 
Options: a ) 2008 , b ) 2004 , c ) 2005 , d ) 2006 , e ) 2007
Answer: a
Input: Problem: if p # q denotes the least common multiple of p and q , then w = ( ( 12 # 16 ) # ( 18 # 24 ) ) = ? 
Options: a ) 216 , b ) 180 , c ) 144 , d ) 108 , e ) 72
Answer: c
Input: Problem: n 10 years , a will be twice as old as b was 10 years ago . if a is now 9 years older than b the present age of b is 
Options: a ) 22 , b ) 897 , c ) 268 , d ) 20 , e ) 48
Answer: e
Input: 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 euro 1000 more than d , what is b ' s share ? 
Options: a ) euro 1000 , b ) euro 3000 , c ) euro 5000 , d ) euro 4000 , e ) euro 2000
Answer: e
Input: Problem: a textile manufacturing firm employees 50 looms . it makes fabrics for a branded company . the aggregate sales value of the output of the 50 looms is rs 5 , 00,000 and the monthly manufacturing expenses is rs 1 , 50,000 . assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms . monthly establishment charges are rs 75000 . if one loom breaks down and remains idle for one month , the decrease in profit is : 
Options: a ) 13000 , b ) 7000 , c ) 10000 , d ) 5000 , e ) none of these
Answer: b
Input: Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 2 will be equal to : 
Options: a ) 3 , b ) 6 , c ) 1 / 9 , d ) 1 / 3 , e ) 9 / 4
Answer: e
Input: Problem: in a certain supermarket , a triangular display of cans is arranged in 10 rows , numbered 1 through 10 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 150 cans in the entire display , how many cans are in the sixth row ? 
Options: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22
Answer: b
Input: Problem: what number times ( 1 ⁄ 2 ) ^ 2 will give the value of 2 ^ 3 ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 32
Answer: e
Input: Problem: if 2464 / 1.12 = 2200 , then 246.4 / 11.2 is equal to ? 
Options: a ) 24 , b ) 23 , c ) 22 , d ) 21 , e ) 25
Answer: c
Input: Problem: 5000 - 4500 ÷ 10.00 = ? 
Options: a ) 4550 , b ) 5000 , c ) 0.5 , d ) 4000 , e ) none
Answer: a
Input: Problem: a large field of 900 hectares is divided into two parts . the difference of the areas of the two parts is one - fifth of the average of the two areas . what is the area of the smaller part in hectares ? 
Options: a ) 435 hectares . , b ) 425 hectares . , c ) 445 hectares . , d ) 415 hectares . , e ) 405 hectares .
Answer: e
Input: Problem: what is the ratio of 5 / 7 to the product 3 * ( 7 / 3 ) ? 
Options: a ) 3 : 7 , b ) 1 : 3 , c ) 5 : 49 , d ) 1 : 7 , e ) 3 : 49
Answer: c
Input: Problem: find a sum for 1 st 7 prime number ' s ? 
Options: a ) 25 , b ) 28 , c ) 58 , d ) 34 , e ) 36
Answer: c
Input: Problem: the average of runs of a cricket player of 10 innings was 30 . how many runs must he make in his next innings so as to increase his average of runs by 4 ? 
Options: a ) 87 , b ) 74 , c ) 10 , d ) 76 , e ) 17
Answer: b
Input: Problem: a scale 6 ft . 8 inches long is divided into 5 equal parts . find the length of each part . 
Options: a ) 20 inches , b ) 77 inches , c ) 16 inches , d ) 97 inches , e ) 66 inches
Answer: c
Input: Problem: in a certain archery competition , points were awarded as follows : the first place winner receives 11 points , the second place winner receives 7 points , the third place winner receives 5 points and the fourth place winner receives 2 points . no other points are awarded . john participated several times in the competition and finished first , second , third , or fourth each time . the product of all the points he received was 30800 . how many times did he participate in the competition ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Answer: d
Input: Problem: bert left the house with n dollars . he spent 1 / 4 of this at the hardware store , then $ 7 at the dry cleaners , and then half of what was left at the grocery store . when he got home , he had $ 19 left in his pocket . what was the value of n ? 
Options: a ) $ 36 , b ) $ 44 , c ) $ 52 , d ) $ 60 , e ) $ 68
Answer: a
Input: Problem: for all even integers n , h ( n ) is defined to be the sum of the even integers between 4 and n , inclusive . what is the value of h ( 18 ) / h ( 10 ) ? 
Options: a ) 3 , b ) 1.8 , c ) 6 , d ) 18 , e ) 60
Answer: a
Input: Problem: what will be the remainder when 8 - 3 + 3 ^ 5 + 2 ^ 10 is divided by 4 ? 
Options: a ) 12 , b ) 3 , c ) 16 , d ) 0 , e ) 9
Answer: d
Input: Problem: from below option 50 is divisible by which one ? 
Options: a ) 3 , b ) 2 , c ) 7 , d ) 8 , e ) 9
Answer: b
Input: Problem: a lady has fine gloves and hats in her closet - 18 blue , 32 red , and 25 yellow . the lights are out and it is totally dark . in spite of darkness , she can make out the difference between a hat and a glove . she takes out an item out of the closet only if she is sure that it is a glove . how many gloves must she take out to make sure she has a pair of each color ? 
Options: a ) 60 , b ) 65 , c ) 70 , d ) 75 , e ) 80
Answer: a
Input: Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 20000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is 
Options: a ) 20 , b ) 49 , c ) 22 , d ) 23 , e ) none
Answer: b
Input: Problem: if ( 1 / 2 ) ^ 25 ( 1 / 81 ) ^ k = 1 / 18 ^ 25 , then k = 
Options: a ) 8 , b ) 12.5 , c ) 16 , d ) 24 , e ) 36
Answer: b
Input: Problem: the distance from the x - axis to point p is half the distance from the y - axis to point p . if the coordinates of p are ( x , - 8 ) , how many units is p from the y - axis ? 
Options: a ) 20 , b ) 16 , c ) 8 , d ) 4 , e ) 2
Answer: b
Input: Problem: the average of 45 results is 10 . the average of first 22 of them is 15 and that of last 22 is 20 . find the 23 result ? 
Options: a ) 600 , b ) 480 , c ) 750 , d ) 650 , e ) 560
Answer: e
Input: Problem: the average age of a class is 15.8 years . the average age of the boys in the class is 16.4 years and that of the girls is 15.4 years . what is the ratio of boys to girls in the class ? 
Options: a ) 1 : 2 , b ) 3 : 4 , c ) 2 : 3 , d ) 3 : 2 , e ) none of these
Answer: c
Input: Problem: if 7 : 13 : : 301 : x then the value of ‘ x ’ is : 
Options: a ) 493 , b ) 537 , c ) 559 , d ) 587 , e ) 567
Answer: c
Input: Problem: the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years b in which the population would be doubled assuming there is no emigration or immigration is 
Options: a ) 20 , b ) 25 , c ) b = 30 , d ) b = 35 , e ) b = 40
Answer: d
Input: Problem: each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.55 % , what fraction of the products was checked by worker y ? 
Options: a ) 1 / 3 , b ) 1 / 4 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 8
Answer: d
Input: Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 40 units . if today ' s production of 90 units raises the average to 45 units per day , what is the value of n ? 
Options: a ) 30 , b ) 18 , c ) 10 , d ) 9 , e ) 7
Answer: d
Input: Problem: if the sum of two numbers is 18 and the sum of their squares is 220 , then the product of the numbers is 
Options: a ) 40 , b ) 44 , c ) 52 , d ) 88 , e ) 90
Answer: c
Input: Problem: if x = 1 + √ 2 , then what is the value of x 4 - 4 x 3 + 4 x 2 + 4 ? 
Options: a ) - 1 , b ) 0 , c ) 5 , d ) 2 , e ) 3
Answer: c
Input: Problem: what is the remainder of r = 3 ^ 19 when divided by 10 ? 
Options: a ) 0 , b ) 1 , c ) 5 , d ) 7 , e ) 9
Answer: d
Input: Problem: in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 4 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ? 
Options: a ) 40 , b ) 44 , c ) 48 , d ) 22 , e ) none of these
Answer: d
Input: Problem: a car traveled 80 % of the way from town x to town y at an average speed of 80 mph . the car traveled at an average speed of v mph for the remaining part of the trip . the average speed for the entire trip was 50 mph . what is v in mph ? 
Options: a ) 25 , b ) 35 , c ) 45 , d ) 55 , e ) 20
Answer: e
Input: Problem: the average age of 25 students of a class is 25 years . out of these , the average age of 10 students is 22 years and that of the other 14 students is 28 years . the age of the 25 th student is ? 
Options: a ) 10 , b ) 15 , c ) 13 , d ) 11 , e ) 9
Answer: c
Input: Problem: a set consists of 15 numbers , all are even or multiple of 5 . if 8 numbers are even and 10 numbers are multiple of 5 , how many numbers is multiple of 10 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5
Answer: d
Input: Problem: when x is multiplied by 3 , the result is 26 more than the result of subtracting x from 26 . what is the value of x ? 
Options: a ) - 4 , b ) - 2 , c ) 11 , d ) 13 , e ) 22
Answer: d
Input: Problem: you collect baseball cards . suppose you start out with 17 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the end ? 
Options: a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21
Answer: e
Input: Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is : 
Options: a ) 2 : 5 , b ) 2 : 3 , c ) 2 : 4 , d ) 2 : 1 , e ) 2 : 9
Answer: b
Input: Problem: alex age after 13 years will be 10 times his age 10 years back . what is the present age of alex ? 
Options: a ) 15 , b ) 13 , c ) 20 , d ) 21 , e ) 26
Answer: b
Input: Problem: a batsman makes a score of 87 runs in the 17 th inning and thus increases his average by 4 . find his average after 17 th inning . 
Options: a ) 36 , b ) 39 , c ) 23 , d ) 45 , e ) none of the above
Answer: c
Input: Problem: if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 70 / r years . if pat ' s parents invested $ 5,000 in a long - term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of the investment 18 years later , when pat is ready for college ? 
Options: a ) $ 20000 , b ) $ 15000 , c ) $ 12000 , d ) $ 10000 , e ) $ 9000
Answer: a
Input: Problem: 50 boys and 100 girls are examined in a test ; 50 % of the boys and 40 % of the girls pass . the percentage of the total who failed is ? 
Options: a ) 42.5 % , b ) 62.1 % , c ) 56.7 % , d ) 39.9 % , e ) 51.4 %
Answer: c
Input: Problem: 1 * 2 + 2 * 2 ^ 2 + 3 * 2 ^ 3 + 4 * 2 ^ 4 … … … … … … … … + 2012 * 2 ^ 2012 
Options: a ) 8100312 , b ) 8100313 , c ) 8100412 , d ) 8200312 , e ) 8300312
Answer: a
Input: Problem: a man engaged a servant on the condition that he would pay him rs . 900 and a uniform after 1 year service . he served only for 9 months and receiveduniform and rs . 650 , find the price of the uniform ? 
Options: a ) rs . 90 , b ) rs . 100 , c ) rs . 130 , d ) rs . 170 , e ) rs . 190
Answer: b
Input: Problem: the total of 344 of 20 paise and 25 paise make a sum of rs . 71 . the no of 20 paise coins is 
Options: a ) 238 , b ) 277 , c ) 278 , d ) 200 , e ) 300
Answer: e
Input: Problem: the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 80 inclusive is the digital sum a multiple of 7 ? 
Options: a ) 7 , b ) 9 , c ) 14 , d ) 16 , e ) 20
Answer: b
Input: Problem: if 18 ! / 3 ^ x is an integer , what is the greatest possible value of x ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8
Answer: e
Input: 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
Answer: b
Input: Problem: determine the value of ( 25 / 32 + 50 / 64 ) * 2 
Options: a ) 25 / 8 , b ) 25 / 4 , c ) 25 / 6 , d ) 3 , e ) none
Answer: a
Input: Problem: if n is a positive integer and n ^ 2 is divisible by 36 , then the largest positive integer that must divide n is 
Options: a ) 6 , b ) 12 , c ) 24 , d ) 36 , e ) 48
Answer: a
Input: Problem: a person saved $ 10 in buying an item on sale . if he spent $ 200 for the item , approximately how much percent he saved in the transaction ? 
Options: a ) 8 % , b ) 10 % , c ) 2 % , d ) 5 % , e ) 6 %
Answer: d
Input: Problem: q and r are two - digit positive integers that have the same digits but in reverse order . if the positive difference between q and r is less than 60 , what is the greatest possible value of q minus r ? 
Options: a ) 52 , b ) 54 , c ) 55 , d ) 56 , e ) 58
Answer: b
Input: Problem: if the average ( arithmetic mean ) of a and b is 50 and the average of b and c is 70 , what is the value of c − a ? 
Options: a ) 40 , b ) 50 , c ) 90 , d ) 140 , e ) it can not be determined from the information given .
Answer: a
Input: Problem: ( 35423 + 7164 + 41720 ) - ( 317 x 89 ) = ? 
Options: a ) 28213 , b ) 84307 , c ) 50694 , d ) 54094 , e ) none of them
Answer: d
Input: Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 896 ? 
Options: a ) 1000 , b ) 800 , c ) 2889 , d ) 2777 , e ) 2991
Answer: b