Lots-of-LoRAs/task1420_mathqa_general huggingface dataset:
Input: Problem: what is the units digit of ( 6 ! * 4 ! + 6 ! * 5 ! ) / 6 ? 
Options: a ) 1 , b ) 0 , c ) 2 , d ) 3 , e ) 4
Answer: b
Input: Problem: a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 50 as remainder . find the no . is ? 
Options: a ) 145646 , b ) 236578 , c ) 645353 , d ) 456546 , e ) 220050
Answer: e
Input: Problem: how many positive integer solutions does the equation 2 x + 3 y = 100 have ? 
Options: a ) 50 , b ) 33 , c ) 16 , d ) 35 , e ) 14
Answer: c
Input: Problem: instead of multiplying a number by 5 , the number is divided by 5 . what is the percentage of error obtained ? 
Options: a ) 98 % , b ) 97 % , c ) 96 % , d ) 99 % , e ) 95 %
Answer: c
Input: Problem: the average monthly income of p and q is rs . 2050 . the average monthly income of q and r is rs . 5250 and the average monthly income of p and r is rs . 6200 . the monthly income of r is : 
Options: a ) 5100 , b ) 4900 , c ) 9400 , d ) 1500 , e ) 3200
Answer: c
Input: Problem: how many times digit 20 is used while writing numbers from 100 to 500 ? 
Options: a ) 20 , b ) 30 , c ) 15 , d ) 25 , e ) 20
Answer: a
Input: Problem: x , a , z , and b are single digit positive integers . x = 1 / 7 a . z = 1 / 7 b . ( 10 a + b ) – ( 10 x + z ) could not equal 
Options: a ) 30 , b ) 36 , c ) 42 , d ) 63 , e ) 66
Answer: d
Input: Problem: average of money that group of 4 friends pay for rent each month is $ 800 . after one persons rent is increased by 20 % the new mean is $ 880 . what was original rent of friend whose rent is increased ? 
Options: a ) 800 , b ) 900 , c ) 1600 , d ) 1100 , e ) 1200
Answer: c
Input: Problem: find the sum of all 3 digit natural numbers , which are divisible by 8 
Options: a ) 61376 , b ) 54411 , c ) 612314 , d ) 64170 , e ) 64171
Answer: a
Input: Problem: a person ' s present age is one - fifth of the age of his mother . after 8 years , he will be one - half of the age of his mother . how old is the mother at present ? 
Options: a ) a ) 25 , b ) b ) 44 , c ) c ) 32 , d ) d ) 45 , e ) e ) 40
Answer: e
Input: Problem: a store owner estimates that the average price of type a products will increase by 25 % next year and that the price of type b products will increase by 20 % next year . this year , the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300 . 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 ) $ 14,755 , b ) $ 15,585 , c ) $ 16,000 , d ) $ 16,225 , e ) $ 17,155
Answer: b
Input: Problem: in a renowned city , the average birth rate is 6 people every two seconds and the death rate is 2 people every two seconds . estimate the size of the population net increase that occurs in one day . 
Options: a ) 32,300 , b ) 172,800 , c ) 468,830 , d ) 338,200 , e ) 259,200
Answer: b
Input: Problem: 70 % of x is greater than 1 / 3 rd of x by 110 . what is x ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 350 , e ) 400
Answer: c
Input: Problem: how many quarters are equal to 5 dollars ? 
Options: a ) 1 , b ) 8 , c ) 12 , d ) 20 , e ) 7
Answer: d
Input: Problem: a , b and c rents a pasture for rs . 870 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? 
Options: a ) 180 , b ) 270 , c ) 360 , d ) 500 , e ) 550
Answer: b
Input: Problem: when a natural number n is successively divided by 12 , 34 the remainders are 56 , 78 . what will be the sum of the remainders if the order of the division is reversed ? 
Options: a ) 11 , b ) 12 , c ) 10 , d ) 2 , e ) 7
Answer: c
Input: 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 128,000 locusts ? 
Options: a ) 12 , b ) 8 , c ) 4 , d ) 10 , e ) 16
Answer: d
Input: Problem: line q has the equation 5 y – 3 x = 60 . if line s is perpendicular to q , has an integer for its y - intercept , and intersects q in the second quadrant , then how many possible line s ’ s exist ? ( note : intersections on one of the axes do not count . ) 
Options: a ) 35 , b ) 40 , c ) 45 , d ) 50 , e ) 55
Answer: c
Input: Problem: if an average hard drive had a capacity of 0.6 tb in 2000 , and average hard drive capacities double every 5 years , what will be the average hard drive capacity in 2050 ? 
Options: a ) 256 , b ) 512 , c ) 768 , d ) 6144 , e ) 1536
Answer: d
Input: Problem: find the smallest four - digit number which is a multiple of 112 
Options: a ) 137 , b ) 112 , c ) 287 , d ) 121 , e ) 191
Answer: b
Input: Problem: 32 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 ) 26 , c ) 42 , d ) 27 , e ) 14
Answer: e
Input: Problem: in the number 11,0 ab , a and b represent the tens and units digits , respectively . if 11,0 ab is divisible by 50 , what is the greatest possible value of b × a ? 
Options: a ) 0 , b ) 5 , c ) 20 , d ) 15 , e ) 25
Answer: c
Input: Problem: the grade point average of one third of the classroom is 45 ; the grade point average of the rest is 60 . what is the grade point average of the whole class ? 
Options: a ) 54 , b ) 55 , c ) 60 , d ) 65 , e ) 70
Answer: b
Input: Problem: if ( 10 ^ 4 * 3.456789 ) ^ 10 is written as a single term , how many digits would be to the right of the decimal place ? 
Options: a ) 12 , b ) 16 , c ) 20 , d ) 32 , e ) 48
Answer: c
Input: Problem: what is the value of ( p + q ) / ( p - q ) if p / q is 4 ? 
Options: a ) 5 / 3 , b ) 2 / 3 , c ) 2 / 6 , d ) 7 / 8 , e ) 8 / 7
Answer: a
Input: Problem: in a renowned city , the average birth rate is 4 people every two seconds and the death rate is 2 people every two seconds . estimate the size of the population net increase that occurs in one day . 
Options: a ) 86,400 , b ) 172,800 , c ) 468,830 , d ) 338,200 , e ) 259,200
Answer: a
Input: Problem: if k is the greatest positive integer such that 3 ^ k is a divisor of 18 ! then k = 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8
Answer: e
Input: 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 42 liters of forest green to change it to verdant green ? 
Options: a ) 14 , b ) 12 , c ) 15 , d ) 11 , e ) 10
Answer: a
Input: Problem: if x / y = 8 / 7 , then ( 7 x + 6 y ) / ( 7 x â € “ 6 y ) = ? 
Options: a ) 11 , b ) 8 , c ) 9 , d ) 7 , e ) 6
Answer: d
Input: Problem: if x is a positive integer with fewer than 3 digits , what is the probability that c x * ( x + 1 ) is a multiple of either 4 or 5 ? 
Options: a ) 4 / 99 , b ) 2 / 25 , c ) 8 / 99 , d ) 49 / 100 , e ) 86 / 99
Answer: e
Input: Problem: alice picked a number of pears , each of which she sold , canned , or poached . she canned 20 percent more than she poached , and she poached 50 percent less than she sold . if there were a total of 42 pears , then how many pears did she sell ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Answer: a
Input: Problem: in a class of 25 students , 3 students did not borrow any books from the library , 11 students each borrowed 1 book , 6 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ? 
Options: a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16
Answer: d
Input: Problem: in arun ' s opinion , his weight is greater than 66 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 69 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ? 
Options: a ) 86.5 kg , b ) 67.5 kg , c ) 46.5 kg , d ) 26.5 kg , e ) 16.5 kg
Answer: b
Input: Problem: the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 13 and 35 inclusive . 
Options: a ) 288 , b ) 364 , c ) 410 , d ) 424 , e ) 450
Answer: a
Input: Problem: what is the average of first 21 multiples of 5 ? 
Options: a ) a ) 70 , b ) b ) 77 , c ) c ) 55 , d ) d ) 81 , e ) e ) 82
Answer: c
Input: Problem: x + ( 1 / x ) = 3 find x ^ 2 + ( 1 / x ^ 2 ) 
Options: a ) 2.25 , b ) 7 , c ) 4.25 , d ) 5.25 , e ) 6.25
Answer: b
Input: 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
Answer: c
Input: Problem: andy solves problems 80 to 125 inclusive in a math exercise . how many problems does he solve ? 
Options: a ) 53 , b ) 52 , c ) 51 , d ) 46 , e ) 49
Answer: d
Input: Problem: the original price of a suit is $ 150 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ? 
Options: a ) $ 130 , b ) $ 136 , c ) $ 144 , d ) $ 150 , e ) $ 160
Answer: c
Input: Problem: the average weight of 10 persons increases by 6.3 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 ) 176 kg , b ) 80 kg , c ) 185 kg , d ) 90 kg , e ) 128 kg
Answer: e
Input: Problem: a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 150,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ? 
Options: a ) $ 35,000 , b ) $ 45,000 , c ) $ 50,000 , d ) $ 65,000 , e ) $ 75,000
Answer: c
Input: Problem: a certain country is divided into 4 provinces . each province consists entirely of progressives and traditionalists . if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 12 the total number of progressives in the entire country , what fraction of the country is traditionalist ? 
Options: a ) 1 / 5 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 4
Answer: e
Input: Problem: at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses t at the restaurant ? ( assume that all boxes are filled to capacity . ) 
Options: a ) 96 , b ) 240 , c ) t = 256 , d ) t = 384 , e ) t = 480
Answer: e
Input: Problem: find the area between two concentric circles defined by x 2 + y 2 - 2 x + 4 y + 1 = 0 x 2 + y 2 - 2 x + 4 y - 11 = 0 
Options: a ) 11 pi , b ) 12 pi , c ) 13 pi , d ) 14 pi , e ) 15 pi
Answer: b
Input: Problem: the sum of ages of 5 children born at theintervals of 3 years each is 50 years . what is the age of the youngest child ? 
Options: a ) 4 , b ) 5 , c ) 9 , d ) 8 , e ) 10
Answer: a
Input: Problem: a number x is multiplied with itself and then added to the product of 4 and x . if the result of these two operations is - 3 , what is the value of x ? 
Options: a ) - 4 , b ) - 1 and - 3 , c ) 2 , d ) 4 , e ) can not be determined .
Answer: b
Input: Problem: the average ( arithmetic mean ) of the integers from 25 to 225 , inclusive , is how much lower than the average of the integers from 50 to 1050 inclusive ? 
Options: a ) 450 , b ) 375 , c ) 500 , d ) 425 , e ) 400
Answer: d
Input: Problem: an alloy of copper and zinc contains copper and zinc in the ratio 6 : 4 . another alloy of copper and zinc contains copper and zinc in the ratio 3 : 7 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? 
Options: a ) 12 : 1 , b ) 1 : 2 , c ) 4 : 1 , d ) 2 : 5 , e ) 2 : 6
Answer: b
Input: Problem: mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 4 children and 5 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ? 
Options: a ) 20 % , b ) 17 % , c ) 4.0 % , d ) 3.3 % , e ) 2.8 %
Answer: c
Input: Problem: a mixture of 50 litres of milk and water contains 10 % water . how many litres of water should be added to the mixture so that the mixture contains 15 % water ? 
Options: a ) 15 , b ) 20 , c ) 25 , d ) 30 , e ) 10
Answer: c
Input: Problem: 4 years ago , paula was 4 times as old as karl . in 12 years , paula will be twice as old as karl . what is the sum of their ages now ? 
Options: a ) 36 , b ) 40 , c ) 44 , d ) 48 , e ) 52
Answer: d
Input: Problem: two trains of equal are running on parallel lines in the same direction at 48 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ? 
Options: a ) 60 m , b ) 72 m , c ) 80 m , d ) 82 m , e ) 84 m
Answer: a
Input: Problem: 2 , 5 , 10 , 17 , . . 
Options: a ) 5 , b ) 8 , c ) 26 , d ) 7 , e ) 12
Answer: c
Input: Problem: the average marks of a class of 40 students is 44 and that of another class of 45 students is 70 . find the average marks of all the students ? 
Options: a ) 52.6 , b ) 52.4 , c ) 52.1 , d ) 69.5 , e ) 52.9
Answer: d
Input: Problem: a number is doubled and 4 is added . if the resultant is divided by 5 , it becomes 25 . what is that number ? 
Options: a ) 73.5 , b ) 68 , c ) 60.5 , d ) none of these , e ) can not be determined
Answer: c
Input: Problem: if 40 % of a number is equal to two - third of another number , what is the ratio of first number to the second number . 
Options: a ) 5 : 3 , b ) 2 : 5 , c ) 4 : 7 , d ) 5 : 2 , e ) none of these
Answer: a
Input: 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
Answer: a
Input: Problem: you collect pens . suppose you start out with 5 . mike gives you another 20 pens . since her father makes pens , cindy decides to double your pens . since you ' re nice , you give sharon 10 pens . how many pens do you have at the end ? 
Options: a ) 39 , b ) 40 , c ) 41 , d ) 42 , e ) 43
Answer: b
Input: Problem: 10 camels cost as much as 24 horses , 26 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 170000 , find the cost of a camel ? 
Options: a ) rs . 6184.5 , b ) rs . 4184.5 , c ) rs . 5700 , d ) rs . 4284.5 , e ) rs . 5184.5
Answer: b
Input: Problem: 9 - 3 ÷ 1 / 3 + 3 = ? 
Options: a ) 1 , b ) 3 , c ) 6 , d ) 9 , e ) 12
Answer: b
Input: Problem: in an examination , 30 % of total students failed in hindi , 35 % failed in english and 35 % in both . the percentage of these who passed in both the subjects is : 
Options: a ) 10 % , b ) 20 % , c ) 30 % , d ) 70 % , e ) 50 %
Answer: d
Input: Problem: what is the least value of x , so that 2 x 5472 is divisible by 9 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 3 , e ) 2
Answer: a
Input: Problem: what is the remainder when 14,452 × 15,652 × 16,781 is divided by 5 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Answer: e
Input: Problem: if the price of gasoline increases by 25 % and a driver intends to spend only 20 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ? 
Options: a ) 2 % , b ) 3 % , c ) 4 % , d ) 5 % , e ) 6 %
Answer: c
Input: Problem: the average of first five multiples of 6 is ? 
Options: a ) 6 , b ) 18 , c ) 9 , d ) 5 , e ) 7
Answer: b
Input: Problem: if 360 is divided into 4 parts proportional to 5 , 7 , 4 , 8 then the smallest part is : 
Options: a ) 50 , b ) 60 , c ) 40 , d ) 18 , e ) 22
Answer: b
Input: Problem: in a mayoral election , candidate x received 1 / 3 more votes than candidate y , and candidate y received 1 / 7 fewer votes than z . if z received 21,000 votes how many votes did candidate x received ? 
Options: a ) 18000 , b ) 22000 , c ) 24000 , d ) 26000 , e ) 32000
Answer: c
Input: Problem: if henry were to add 4 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ? 
Options: a ) 32 , b ) 40 , c ) 64 , d ) 80 , e ) 96
Answer: a
Input: Problem: the product of two positive integers is 675 and their difference is 2 . what is the bigger number ? 
Options: a ) 21 , b ) 23 , c ) 25 , d ) 27 , e ) 29
Answer: d
Input: Problem: at company x , senior sales representatives visit the home office once every 15 days , and junior sales representatives visit the home office once every 10 days . the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ? 
Options: a ) 10 % , b ) 25 % , c ) 33 % , d ) 50 % , e ) 67 %
Answer: d
Input: Problem: find a sum for first 6 prime number ' ss ? 
Options: a ) 25 , b ) 28 , c ) 30 , d ) 35 , e ) 41
Answer: e
Input: Problem: the first year , two cows produced 8100 litres of milk . the second year their production increased by 15 % and 10 % respectively , and the total amount of milk increased to 9100 litres a year . how many litres were milked from each cow each year ? 
Options: a ) 3472 , b ) 8222 , c ) 4370 , d ) 26777 , e ) 8222
Answer: c
Input: Problem: in a can , there is a mixture of milk and water in the ratio 2 : 5 . if it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 4 : 5 . find the capacity of the can ? 
Options: a ) 40 , b ) 44 , c ) 48 , d ) 50 , e ) 8
Answer: e
Input: Problem: a student chose a number , multiplied it by 6 , then subtracted 138 from the result and got 102 . what was the number he chose ? 
Options: a ) 40 , b ) 120 , c ) 130 , d ) 140 , e ) 150
Answer: a
Input: Problem: a basketball team composed of 12 players scored 100 points in a particular contest . if none of the individual players scored fewer than 7 points , what is the greatest number of points e that an individual player might have scored ? 
Options: a ) 7 , b ) 13 , c ) 16 , d ) 21 , e ) 23
Answer: e
Input: Problem: 30 men shake hands with each other . maximum no of handshakes without cyclic handshakes . 
Options: a ) 190 , b ) 200 , c ) 210 , d ) 220 , e ) 435
Answer: e
Input: Problem: if a certain computer is capable of printing 4700 monthly credit card bills per hour , while a new model is capable of printing at a rate of 6800 per hour , the old model will take approximately how much longer than the new model to print 10000 bills ? 
Options: a ) 19 mins , b ) 29 mins , c ) 39 mins , d ) 38 mins , e ) 37 mins
Answer: c
Input: Problem: what is the hcf of 2 / 3 , 5 / 9 and 6 / 5 
Options: a ) 1 / 45 , b ) 2 / 45 , c ) 4 / 15 , d ) 8 / 45 , e ) 9 / 45
Answer: a
Input: Problem: if a / b = 6 / 5 , then ( 5 a + 4 b ) / ( 5 a - 4 b ) = ? 
Options: a ) 4 , b ) 7 , c ) 5 , d ) 3 , e ) 6
Answer: c
Input: Problem: how many words , with or without meaning , can be formed using all letters of the word good using each letter exactly once ? 
Options: a ) 18 , b ) 20 , c ) 22 , d ) 23 , e ) 24
Answer: e
Input: Problem: a batsman scored 120 runs which included 3 boundaries and 8 sixes . what percent of his total score did he make by running between the wickets ? 
Options: a ) 45 ( 4 / 11 ) % , b ) 50 % , c ) 45 ( 5 / 11 ) % , d ) 44 ( 5 / 11 ) % , e ) none of these
Answer: b
Input: Problem: carol spends 1 / 4 of her savings on a stereo and 1 / 3 less than she spent on the stereo for a television . what fraction of her savings did she spend on the stereo and television ? 
Options: a ) 1 / 4 , b ) 2 / 7 , c ) 5 / 12 , d ) 1 / 2 , e ) 7 / 12
Answer: c
Input: Problem: if x + y = 24 , x - y = 40 , for integers of x and y , x = ? 
Options: a ) 20 , b ) 23 , c ) 25 , d ) 32 , e ) 42
Answer: d
Input: Problem: how many points ( x , y ) lie on the line segment between ( 32 , 12 2 / 3 ) and ( 7 , 17 2 / 3 ) such that x and y are both integers ? 
Options: a ) one , b ) 4 , c ) 5 , d ) 8 , e ) 9
Answer: c
Input: Problem: the product of a and b is equal to 11 more than twice the sum of a and b . if b = 7 , what is the value of b - a ? 
Options: a ) 2 , b ) 5 , c ) 7 , d ) 24 , e ) 35
Answer: a
Input: Problem: marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit . if the fixed cost for n products is $ 12000 and the marginal cost is $ 200 , and the total cost is $ 16000 , what is the value of n ? 
Options: a ) 20 , b ) 50 , c ) 60 , d ) 80 , e ) 100
Answer: a
Input: Problem: 8 is 2 % of a , and 2 is 8 % of b . c equals b / a . what is the value of c ? 
Options: a ) 1 / 16 , b ) 1 / 4 , c ) 1 , d ) 4 , e ) 8
Answer: a
Input: Problem: how much is 80 % of 40 is greater than 4 / 5 of 25 ? 
Options: a ) 22 , b ) 77 , c ) 15 , d ) 12 , e ) 88
Answer: d
Input: Problem: find the average of all prime numbers between 80 and 100 
Options: a ) 88 , b ) 60 , c ) 80 , d ) 89.6 , e ) 92
Answer: d
Input: Problem: village x has a population of 78000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? 
Options: a ) 15 , b ) 19 , c ) 11 , d ) 18 , e ) 13
Answer: d
Input: 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
Answer: c
Input: Problem: when positive integer x is divided by 7 , the quotient is y and the remainder is 3 . when 2 x is divided by 6 , the quotient is 3 y and the remainder is 2 . what is the value of 11 y – x ? 
Options: a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: d
Input: Problem: there has been successive increases of 15 % and then 10 % in the price of gas from the previous month . by what percentage should a driver reduce gas consumption so that the expenditure does not change ? 
Options: a ) 12 % , b ) 15 % , c ) 18 % , d ) 21 % , e ) 24 %
Answer: d
Input: Problem: what is the average of 120 , 130 , 140 , 510 , 520 , 530 , 1115 , 1120 , and 1125 ? 
Options: a ) 419 , b ) 551 , c ) 601 , d ) 590 , e ) 721
Answer: d
Input: Problem: if 20 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ? 
Options: a ) 95 , b ) 90 , c ) 85 , d ) 80 , e ) 75
Answer: d
Input: Problem: if 49 ( 7 ^ x ) = 1 then x = 
Options: a ) – 2 , b ) – 1 , c ) 0 , d ) 1 , e ) 2
Answer: a
Input: Problem: in a certain egg - processing plant , every egg must be inspected , and is either accepted for processing or rejected . for every 96 eggs accepted for processing , 4 eggs are rejected . if , on a particular day , 12 additional eggs were accepted , but the overall number of eggs inspected remained the same , the ratio of those accepted to those rejected would be 99 to 1 . how many q eggs does the plant process per day ? 
Options: a ) 100 , b ) 300 , c ) 400 , d ) 3000 , e ) 4000
Answer: c
Input: Problem: 1 / 216 , 415 , 356 , _ ? 
Options: a ) 28 / 3 , b ) 27 / 3 , c ) 26 / 3 , d ) 25 / 3 , e ) 24 / 3
Answer: a
Input: Problem: 12 + 6 = 792 10 + 2 = 110 1 + 9 = 9 2 + 7 = 16 11 + 4 = ? ? solve it ? 
Options: a ) 100 , b ) 120 , c ) 190 , d ) 160 , e ) 154
Answer: e
Input: Problem: two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 54 sec . the length of each train is ? 
Options: a ) 50 , b ) 26 , c ) 75 , d ) 28 , e ) 21
Answer: c
Input: Problem: a driver just filled the car ' s gas tank with 45 liters of gasohol , a mixture consisting of 5 % ethanol and 95 % gasoline . if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline , how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance ? 
Options: a ) 1.3 , b ) 1.7 , c ) 2.1 , d ) 2.5 , e ) 2.9
Answer: d
Input: Problem: instead of multiplying a number by 9 , the number is divided by 9 . what is the percentage of error obtained ? 
Options: a ) 97.765 % , b ) 99.765 % , c ) 96.765 % , d ) 95.765 % , e ) 98.765 %
Answer: e
Input: Problem: if 170 ! / 10 ^ n is an integer , what is the largest possible value of n ? 
Options: a ) 47 , b ) 46 , c ) 41 , d ) 48 , e ) 45
Answer: c
Input: Problem: a school has 7 maths 6 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: c
Input: Problem: 90 % of the population of a village is 8100 . the total population of the village is ? 
Options: a ) 9000 , b ) 24000 , c ) 26682 , d ) 29973 , e ) 12312
Answer: a
Input: Problem: a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did a get in a profit of rs . 2445 ? 
Options: a ) s . 800 , b ) s . 810 , c ) s . 815 , d ) s . 900 , e ) s . 920
Answer: c
Input: Problem: a vending machine randomly dispenses 4 different types of fruit candy . there are twice as many apple candies as orange candies , twice as many strawberry candies as grape candies , and twice as many apple candies as strawberry candies . if each candy cost $ 0.1 , and there are exactly 90 candies , what is the minimum amount of money required to guarantee that you would buy at least 3 of each type of candy ? 
Options: a ) $ 8.30 , b ) $ 20.75 , c ) $ 22.50 , d ) $ 42.75 , e ) $ 45.00
Answer: a
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 , - 5 ) , how many units is p from the y - axis ? 
Options: a ) 2.5 , b ) 5 , c ) 7.5 , d ) 10 , e ) 12
Answer: d
Input: Problem: if a : b = 4 : 7 and b : c = 5 : 9 , then a : c = ? 
Options: a ) 28 : 37 , b ) 18 : 37 , c ) 16 : 53 , d ) 20 : 63 , e ) 15 : 48
Answer: d
Input: 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
Answer: e
Input: Problem: 8 ^ 100 is divisible by 17 . find the remainder ? 
Options: a ) 10 , b ) 12 , c ) 16 , d ) 18 , e ) 20
Answer: c
Input: 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
Answer: e
Input: Problem: a city with a population of 160,080 is to be divided into 8 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ? 
Options: a ) 18,200 , b ) 18,300 , c ) 18,400 , d ) 18,500 , e ) 18,600
Answer: c
Input: Problem: the difference between a positive proper fraction and its reciprocal is 9 / 20 . the fraction is 
Options: a ) 4 / 5 , b ) 7 / 11 , c ) 7 / 13 , d ) 7 / 15 , e ) 8 / 11
Answer: a
Input: Problem: a set s = { x , - 8 , - 7 , - 6 , 6 , 8 , 9 , y } with elements arranged in increasing order . if the median and the mean of the set are the same , what is the value of | x | - | y | ? 
Options: a ) 1 , b ) 0 , c ) 2 , d ) - 1 , e ) can not be determined
Answer: c
Input: Problem: revenues were recorded for store a and store b over a period of 3 months . in the first month , store a ' s revenues were $ 12000 higher than store b ' s revenues . in the second month , store a ' s revenues were $ 8000 higher than store b ' s revenues . if store a ' s average ( arithmetic mean ) monthly revenue for the 3 months was $ 2000 greater than store b ' s average monthly revenue , then store b ' s revenue in the third month was how much greater than store a ' s revenue ? 
Options: a ) $ 14,000 , b ) $ 15,000 , c ) $ 42,000 , d ) $ 46,000 , e ) $ 50,000
Answer: a
Input: Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 57600 ? 
Options: a ) 81000 , b ) 81028 , c ) 27772 , d ) 72900 , e ) 22312
Answer: d
Input: Problem: how many integers between 324,700 and 375,600 have tens digit 1 and units digit 3 ? 
Options: a ) 509 , b ) 624 , c ) 756 , d ) 832 , e ) 947
Answer: a
Input: Problem: if jimmy drinks 8 ounces of water each time for 8 times a day . how much gallons of water he would have to prepare ahead to drink for 5 days ? ( 1 ounce = 0.0078125 gallon ) 
Options: a ) 1 , b ) 1.5 , c ) 2 , d ) 2.5 , e ) 3
Answer: d
Input: Problem: the average weight of 8 person ' s increases by 5 kg when a new person comes in place of one of them weighing 35 kg . what might be the weight of the new person ? 
Options: a ) 80 kg , b ) 85 kg , c ) 75 kg , d ) 100 kg , e ) 110 kg
Answer: c
Input: Problem: a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 300 when the rate to profit rises from 5 to 7 percent . find the capital of a ? 
Options: a ) 5000 , b ) 10000 , c ) 15000 , d ) 2778 , e ) 1991
Answer: c
Input: Problem: when a person aged 39 is added to a group of n people , the average age increases by 2 . when a person aged 15 is added instead , the average age decreases by 1 . what is the value of r ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Answer: a
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 $ 500 more than d , what is d ' s share ? 
Options: a ) $ 1000 , b ) $ 1200 , c ) $ 1500 , d ) $ 1800 , e ) $ 2000
Answer: c
Input: Problem: in may mrs lee ' s earnings were 70 percent of the lee family ' s total income . in june mrs lee earned 20 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ? 
Options: a ) 64 % , b ) 68 % , c ) 72 % , d ) 74 % , e ) 83 %
Answer: d
Input: Problem: $ 350 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ? 
Options: a ) $ 200 , b ) $ 225 , c ) $ 250 , d ) $ 275 , e ) $ 300
Answer: c
Input: Problem: laura took out a charge account at the general store and agreed to pay 5 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? 
Options: a ) $ 2.10 , b ) $ 36.75 , c ) $ 37.16 , d ) $ 38.10 , e ) $ 38.80
Answer: b
Input: Problem: elena ’ s bread recipe calls for 5 ounces of butter for each 7 cups of flour used . she needs to make 4 times the original recipe . if 12 ounces of butter is used , then how many cups of flour are needed ? 
Options: a ) 1 , b ) 4 , c ) 9 , d ) 13 , e ) 28
Answer: e
Input: Problem: a man can buy a new house in 4 years with all of his earnings . but he spend the same amount in household expenses in 8 years and for savings in 12 years . how many time needed for buying the house ? 
Options: a ) 12 , b ) 20 , c ) 30 , d ) 15 , e ) 24
Answer: e
Input: Problem: given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] + 5 = f ( 3 x – 6 ) 
Options: a ) 0 , b ) 4 , c ) 6 , d ) 7 , e ) 13
Answer: c
Input: Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 14000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 28
Answer: e
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 . 9500 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ? 
Options: a ) rs . 500 , b ) rs . 600 , c ) rs . 700 , d ) rs . 1500 , e ) rs . 2500
Answer: a
Input: Problem: a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 5 days starting with sunday is 
Options: a ) 1215 , b ) 1314 , c ) 2900 , d ) 1710 , e ) 2750
Answer: d
Input: Problem: the sum of the first 50 positive even integers is 2550 . what is the sum e of even integers from 102 to 200 inclusive ? 
Options: a ) 5100 , b ) 7550 , c ) 10100 , d ) 15500 , e ) 20100
Answer: b
Input: Problem: find the 18 th term of an arithmetic progression whose first term is 4 and the common difference is 5 . 
Options: a ) 45 , b ) 38 , c ) 72 , d ) 74 , e ) 78
Answer: c
Input: Problem: a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did b get in a profit of rs . 2400 ? 
Options: a ) s . 532 , b ) s . 600 , c ) s . 822 , d ) s . 812 , e ) s . 810
Answer: b
Input: Problem: there are 8 baskets numbered from 1 to 8 and filled with apples . 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket . if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process , how many apples were left in the end ? 
Options: a ) 640 , b ) 680 , c ) 720 , d ) 760 , e ) 800
Answer: a
Input: Problem: a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 245 , then how much amount should c pay as his share of rent ? 
Options: a ) 35 , b ) 45 , c ) 25 , d ) 63 , e ) 55
Answer: d
Input: Problem: a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 100 . how much did he have with him in the beginning ? 
Options: a ) rs 200 , b ) rs 250 , c ) rs 300 , d ) rs 450 , e ) rs 550
Answer: b
Input: Problem: 6,61 , 212,507 , _ ? 
Options: a ) 974 , b ) 994 , c ) 954 , d ) 845 , e ) 754
Answer: b
Input: Problem: a library has an average of 1000 visitors on sundays and 700 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is : 
Options: a ) 740 , b ) 750 , c ) 760 , d ) 770 , e ) 775
Answer: b
Input: Problem: the average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg . what is the correct weight ? 
Options: a ) 67.4 kg , b ) 57.75 kg , c ) 58.85 kg , d ) 49.4 kg , e ) none of these
Answer: c
Input: Problem: the average of 13 numbers is 60 . average of the first 7 of them is 54 and that of the last 7 is 61 . find the 8 th number ? 
Options: a ) 25 , b ) 83 , c ) 45 , d ) 53 , e ) 64
Answer: a
Input: Problem: a no . when divided by 225 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ? 
Options: a ) 2 , b ) 7 , c ) 9 , d ) 11 , e ) 13
Answer: e
Input: Problem: when a merchant imported a certain item , she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000 . if the amount of the import tax that the merchant paid was $ 109.20 , what was the total value of the item ? 
Options: a ) $ 1,600 , b ) $ 1,850 , c ) $ 2,250 , d ) $ 2,440 , e ) $ 2,560
Answer: e
Input: Problem: a certain sum of money is divided among a , b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get . if the amount received by a is $ 20 more than that received by b , find the total amount shared by a , b and c . 
Options: a ) $ 320 , b ) $ 420 , c ) $ 720 , d ) $ 220 , e ) $ 200
Answer: c
Input: Problem: an integer n between 1 and 100 , inclusive , is to be chosen at random . what is the probability that n ( n + 2 ) will be divisible by 2 ? 
Options: a ) 1 / 9 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 6
Answer: c
Input: Problem: in a box of 10 pencils , a total of 2 are defective . if a customer buys 3 pencils selected at random from the box , what is the probability that neither pencils will be defective ? 
Options: a ) 1 / 12 , b ) 7 / 15 , c ) 2 / 13 , d ) 2 / 15 , e ) 1 / 17
Answer: b
Input: Problem: in one year , the population , of a village increased by 30 % and in the next year , it decreased by 30 % . if at the end of 2 nd year , the population was 13650 , what was it in the beginning ? 
Options: a ) 7787 , b ) 8000 , c ) 15000 , d ) 1277 , e ) 2081
Answer: c
Input: Problem: a batsman scored 120 runs which included 5 boundaries and 8 sixes . what % of his total score did he make by running between the wickets 
Options: a ) 43.33 % , b ) 50 % , c ) 65 % , d ) 70 % , e ) 75 %
Answer: a
Input: Problem: a man has some hens and cows . if the number of heads be 60 and the number of feet equals 200 , then the number of hens will be : 
Options: a ) 22 , b ) 25 , c ) 24 , d ) 20 , e ) 28
Answer: d
Input: Problem: country x imported approximately $ 1.44 billion of goods in 1996 . if country x imported $ 420 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year , by how much would country xs 1997 imports exceed those of 1996 ? 
Options: a ) $ 214 million , b ) $ 1120 million , c ) $ 1144 million , d ) $ 1240 million , e ) $ 1080 million
Answer: e
Input: Problem: the average salary of all the workers in a workshop is rs . 9500 . the average salary of 7 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
Answer: e
Input: Problem: find the greatest number which is such that when 794 , 858 and 1351 are divided by it , the remainders are all same . 
Options: a ) 1 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: a
Input: Problem: two digits in father ' s age are the same as the digit in the son ' s age , but in reverse order . in 5 years father will be twice as old as son will be then . what is the difference in their current age ? 
Options: a ) 18 , b ) 16 , c ) 34 , d ) 25 , e ) 12
Answer: a
Input: Problem: in a race where 8 cars are running , the chance that car x will win is 1 / 2 , that y will win is 1 / 4 and that z will win is 1 / 3 . assuming that a dead heat is impossible , find the chance that one of them will win . 
Options: a ) 1 / 140 , b ) 11 / 12 , c ) 14 / 8 , d ) 13 / 12 , e ) 57 / 120
Answer: d
Input: Problem: a mathematics teacher tabulated the marks secured by 35 students of 8 th class . the average of their marks was 72 . if the marks secured by reema was written as 36 instead of 86 then find the correct average marks up to two decimal places . 
Options: a ) 73.41 , b ) 74.31 , c ) 72.43 , d ) 73.43 , e ) can not be determined
Answer: d
Input: Problem: there are 17 teams in the hockey league , and each team faces all the other teams 10 times each . how many games are played in the season ? 
Options: a ) 980 , b ) 1150 , c ) 1360 , d ) 1540 , e ) 1720
Answer: c
Input: Problem: 517 x 517 + 483 x 483 = ? 
Options: a ) 79698 , b ) 80578 , c ) 500578 , d ) 81268 , e ) none of them
Answer: c
Input: Problem: there were 35 students in a hostel . if the number of students increases by 7 , the expenses of the mess increase by rs . 42 per day while the average expenditure per head diminishes by re 1 . find the original expenditure of the mess . 
Options: a ) rs . 480 , b ) rs . 520 , c ) rs . 420 , d ) rs . 460 , e ) none of these
Answer: c
Input: Problem: how many two - element subsets of { 1,2 , 3,4 } are there that do not contain the pair of elements 2 and 4 ? 
Options: a ) one , b ) two , c ) four , d ) five , e ) six
Answer: d
Input: Problem: what is the value of n if the sum of the consecutive odd intergers w from 1 to n equals 169 ? 
Options: a ) 47 , b ) 25 , c ) 37 , d ) 33 , e ) 29
Answer: b
Input: Problem: what is the tens digit of 36 ^ 30 ? 
Options: a ) 1 , b ) 7 , c ) 5 , d ) 3 , e ) 9
Answer: b
Input: Problem: a clock store sold a certain clock to a collector for 20 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 50 percent of what the collector had paid . the shop then sold the clock again at a profit of 80 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 100 , for how much did the shop sell the clock the second time ? 
Options: a ) $ 270 , b ) $ 250 , c ) $ 240 , d ) $ 220 , e ) $ 200
Answer: a
Input: 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
Answer: c
Input: Problem: find 4 + 7 + 10 + 13 + 16 + . . . up to 20 terms 
Options: a ) 650 , b ) 640 , c ) 630 , d ) 620 , e ) 610
Answer: a
Input: Problem: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg . what might be the weight of the new person ? 
Options: a ) 90 kg , b ) 55 kg , c ) 45 kg , d ) 85 kg , e ) 25 kg
Answer: a
Input: Problem: the product of a and b is equal to 10 more than twice the sum of a and b . if b = 9 , what is the value of b - a ? 
Options: a ) 2 , b ) 5 , c ) 7 , d ) 24 , e ) 35
Answer: b
Input: Problem: average of 10 matches is 32 , how many runs one should should score to increase his average by 4 runs . 
Options: a ) 70 , b ) 76 , c ) 78 , d ) 80 , e ) 88
Answer: b
Input: Problem: how many different pairs of positive integers ( a , b ) satisfy the equation 1 / a + 1 / b = 32 / 51 ? 
Options: a ) 6 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Answer: c
Input: Problem: the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 196 , what is the difference between the ages of patrick and monica ? 
Options: a ) 27 , b ) 64 , c ) 45 , d ) 72 , e ) 18
Answer: b
Input: Problem: there are some people in party , 1 / 3 rd left the party . then 2 / 5 th of the remaining left the party , then 2 / 3 rd of the remaining left the party . at last 6 were remaining . how many people were in total ? 
Options: a ) 45 , b ) 27 , c ) 28 , d ) 26 , e ) 91
Answer: a
Input: Problem: what is the value of 3 x ^ 2 − 1.6 x + 0.3 for x = 0.8 ? 
Options: a ) − 0.3 , b ) 0 , c ) 0.3 , d ) 0.94 , e ) 2.46
Answer: d
Input: Problem: the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 25 percent of a , and m equals b decreased by 60 percent of b , what is the value of m / x ? 
Options: a ) 1 / 3 , b ) 2 / 5 , c ) 3 / 4 , d ) 3 / 2 , e ) 2 / 3
Answer: b
Input: Problem: in a 300 member association consisting of men and women , exactly 80 % of men and exactly 15 % women are homeowners . what is the least number of members who are homeowners ? 
Options: a ) 46 , b ) 47 , c ) 48 , d ) 49 , e ) 50
Answer: a
Input: Problem: when positive integer x is divided by positive integer y , the remainder is 8 . if x / y = 76.4 , what is the value of y ? 
Options: a ) 20 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Answer: a
Input: Problem: rahul played weel in this season . his current batting averagge is 46 . if he score 78 runs in today match . his batting average will become 54 . how many matches had he played in this season . 
Options: a ) 8 , b ) 10 , c ) 3 , d ) 6 , e ) 5
Answer: c
Input: Problem: the population of a town increased from 1 , 25,000 to 1 , 50,000 in a decade . the average percent increase of population per year is : 
Options: a ) 4.37 % , b ) 2 % , c ) 6 % , d ) 8.75 % , e ) none of these
Answer: b
Input: Problem: the hcf and lcm of two numbers m and n are respectively 6 and 210 . if m + n = 58 , then 1 / m + 1 / n is equal to 
Options: a ) 1 / 35 , b ) 3 / 35 , c ) 5 / 37 , d ) 2 / 35 , e ) none
Answer: e
Input: Problem: the difference between a two digit number and the number obtained by interchanging the digits is 36 . what is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ? 
Options: a ) 4 , b ) 8 , c ) 12 , d ) 16 , e ) 18
Answer: b
Input: Problem: how many even multiples of 55 are there between 549 and 1101 ? 
Options: a ) 5 , b ) 6 , c ) 9 , d ) 10 , e ) 11
Answer: b
Input: Problem: when 100 is divided by positive integer x , the remainder is 4 . what is the remainder when 196 is divided by x ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 8
Answer: c
Input: Problem: find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 30 as remainder 
Options: a ) 1235 , b ) 1456 , c ) 1567 , d ) 1632 , e ) 1635
Answer: d
Input: Problem: if 638521 is to be divisible by 5 , what is the least whole number that should be added to ? 
Options: a ) 8 , b ) 7 , c ) 5 , d ) 4 , e ) 3
Answer: d
Input: Problem: you have been given a physical balance and 7 weights of 40 , 42 , 36 , 33 , 47 , 52 and 67 kgs . keeping weights on one pan and object on the other , what is the maximum you can weigh less than 169 kgs . 
Options: a ) 163 , b ) 166 , c ) 162 , d ) 164 , e ) 165
Answer: e
Input: Problem: how many liters of pure alcohol must be added to a 100 - liter solution that is 20 percent alcohol in order to produce a solution that is 24 percent alcohol ? 
Options: a ) 7 / 2 , b ) 5 , c ) 20 / 3 , d ) 100 / 19 , e ) 39 / 4
Answer: d
Input: Problem: in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 100 more than the correct answer . find the number . 
Options: a ) 192 , b ) 280 , c ) 384 , d ) 400 , e ) 500
Answer: a
Input: Problem: in a division sum , the remainder is 0 . as student mistook the divisor by 12 instead of 21 and obtained 70 as quotient . what is the correct quotient ? 
Options: a ) 0 , b ) 12 , c ) 13 , d ) 40 , e ) 25
Answer: d
Input: Problem: each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , annie is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week annie worked a total of 50 hours . if harry and annie were paid the same amount last week , how many hours did harry work last week ? 
Options: a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60
Answer: c
Input: Problem: there are 32 balls which are red , blue or green . if 15 balls are green and the sum of red balls and green balls is less than 23 , at most how many red balls are there ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
Answer: d
Input: Problem: what least number must be subtracted from 427398 so that remaining no . is divisible by 11 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 7 , e ) 8
Answer: b
Input: Problem: in a recent election , james received 2.1 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 46 percent of the vote . how many additional votes would james have needed to win the election ? 
Options: a ) 901 , b ) 879 , c ) 990 , d ) 991 , e ) 1,001
Answer: b
Input: Problem: simplify : 8888 + 888 + 88 + 8 
Options: a ) 9872 , b ) 9782 , c ) 9827 , d ) 9287 , e ) none of them
Answer: a
Input: 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 . 60 per square m ? 
Options: a ) rs . 50000 , b ) rs . 52000 , c ) rs . 57000 , d ) rs . 60000 , e ) rs . 67000
Answer: c
Input: Problem: a library has an average of 510 visitors on sundays and 240 on other days . what is the average number of visitors per day in a month of 30 days beginning with a sunday ? 
Options: a ) 290 , b ) 304 , c ) 285 , d ) 270 , e ) 275
Answer: c