niryuu/sni-each-converted huggingface dataset:
Problem: the probability that a man will be alive for 10 more yrs is 1 / 4 & the probability that his wife will alive for 10 more yrs is 1 / 3 . the probability that none of them will be alive for 10 more yrs , is 
Options: a ) 1 / 2 , b ) 1 , c ) 2 / 3 , d ) 3 / 5 , e ) 3 / 8
Output: a
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
Output: e
Problem: if you roll a fair - sided die twice , what is the probability of getting a double ( 5,5 ) ? 
Options: a ) 1 / 24 , b ) 1 / 36 , c ) 1 / 12 , d ) 1 / 18 , e ) 1 / 3 !
Output: e
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
Output: d
Problem: pure milk costs 3.60 per litre . a milkman adds water to 25 litres of pure milk and sells the mixture at 3 per litre . how many litres of water does he add ? 
Options: a ) 2 litres , b ) 5 litres , c ) 7 litres , d ) 11 litres , e ) none of these
Output: b
Problem: find the smallest number which when divided by 11 and 12 leaves respective remainders of 2 and 3 . 
Options: a ) 131 , b ) 197 , c ) 207 , d ) 219 , e ) 227
Output: a
Problem: the number 341 is equal to the sum of the cubes of two integers . what is the product of those integers ? 
Options: a ) 8 , b ) 15 , c ) 21 , d ) 30 , e ) 39
Output: d
Problem: the average of 5 numbers is 6.8 . if one of the numbers is multiplied by a factor of 2 , the average of the numbers increases to 9.2 . what number is multiplied by 2 ? 
Options: a ) 12.0 , b ) 30.0 , c ) 30.9 , d ) 40.0 , e ) 60.0
Output: a
Problem: a transport company ’ s 120 buses running 20 hrs a day consume 360 of fuel in a day . in the next 3 days , the company will invest in 30 more green buses that use 30 % less fuel . how many lts of fuel will be consumed in a 5 day week after the new buses are added to the fleet ? 
Options: a ) 3060 , b ) 1 , 512 , c ) 1800 , d ) 1260 , e ) 3,312
Output: e
Problem: what is the 28 th digit to the right of the decimal point in the decimal form of 5 / 11 ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Output: c
Problem: john is going with 10 friends on a trip to sidney for spring break . airfare and hotel costs a total of $ 12100.00 for the group of 11 friends . how much does each person have to pay for their hotel and airfare ? 
Options: a ) $ 1010 , b ) $ 1100 , c ) $ 1110 , d ) $ 1101 , e ) $ 1200
Output: b
Problem: if 25 % of x is 30 less than 20 % of 1000 , then x is ? 
Options: a ) 188 , b ) 216 , c ) 156 , d ) 680 , e ) 121
Output: d
Problem: if the price of sugar rises from rs . 6 per kg to rs . 7.50 per kg , a person , to have no increase in the expenditure on sugar , will have to reduce his consumption of sugar by 
Options: a ) 15 % , b ) 20 % , c ) 25 % , d ) 30 % , e ) none
Output: b
Problem: bookman purchased 30 copies of a new book released recently , 10 of which are hardback and sold for $ 20 each , and rest are paperback and sold for $ 10 each . if 14 copies were sold and the total value of the remaining books was 240 , how many paperback copies were sold ? 
Options: a ) 8 , b ) 12 , c ) 6 , d ) 4 , e ) 5
Output: b
Problem: find the average of all the numbers between 16 and 34 which are divisible by 5 ? 
Options: a ) 10 , b ) 20 , c ) 28 , d ) 30 , e ) 15
Output: c
Problem: a number whose fifth part increased by 7 is equal to its fourth part diminished by 7 is ? 
Options: a ) 160 , b ) 180 , c ) 200 , d ) 280 , e ) none
Output: d
Problem: the average length of 6 ropes is 80 cm . if the average length of one third of the ropes measure to 70 cm , what is the average of the other ropes ? 
Options: a ) 75 . , b ) 85 . , c ) 90 . , d ) 94 . , e ) 100 .
Output: b
Problem: can you please walk me through how to best approach this problem ? thanks if # p # = ap ^ 3 + bp – 1 where a and b are constants , and # - 5 # = 10 , what is the value of # 5 # ? 
Options: a ) 5 , b ) - 12 , c ) - 2 , d ) - 3 , e ) - 5
Output: b
Problem: a rope of which a calf is tied is increased from 10 m to 23 m , how much additional grassy ground shall it graze ? 
Options: a ) 1217 , b ) 1348.2 , c ) 1210 , d ) 1212 , e ) 1312
Output: b
Problem: working simultaneously and independently at an identical constant rate , 4 machines of a certain type can produce a total of x units of product p in 6 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 3 x units of product p in 6 days ? 
Options: a ) 24 , b ) 18 , c ) 16 , d ) 12 , e ) 8
Output: d
Problem: the average of 13 numbers is 60 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th number ? 
Options: a ) 43 , b ) 30 , c ) 35 , d ) 45 , e ) 50
Output: a
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
Output: c
Problem: rice weighing 25 / 2 pounds was divided equally and placed in 4 containers . how many ounces of rice were in each container ? ( note that 1 pound = 16 ounces ) 
Options: a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80
Output: b
Problem: a driver just filled the car ' s gas tank with 27 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 ) 1.2 , b ) 1.5 , c ) 1.8 , d ) 2.1 , e ) 2.4
Output: b
Problem: for the symbol , m ” n = n ^ 2 − m for all values of m and n . what is the value of 4 ” 3 ? 
Options: a ) 5 , b ) 3 , c ) 2 , d ) 1 , e ) 0
Output: a
Problem: the number 91 is equal to the sum of the cubes of two integers . what is the product of those integers ? 
Options: a ) 8 , b ) 12 , c ) 21 , d ) 27 , e ) 39
Output: b
Problem: a company decreased the price of its main product by 20 % . subsequently , the number of units sold increased such that the total revenue remained unchanged . what was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product ? 
Options: a ) 3.0 , b ) 7.0 , c ) 5.0 , d ) 2.0 , e ) 1.0
Output: c
Problem: the grade point average of one third of the classroom is 69 ; the grade point average of the rest is 60 . what is the grade point average of the whole class ? 
Options: a ) 61 . , b ) 63 . , c ) 65 , d ) 67 , e ) it depends how many people are there in the class .
Output: e
Problem: find large number from below question the difference of two numbers is 1345 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder 
Options: a ) 1235 , b ) 1345 , c ) 1678 , d ) 1767 , e ) 1611
Output: e
Problem: which number should replace both the asterisks in ( * / 18 ) x ( * / 162 ) = 1 ? 
Options: a ) 27 , b ) 36 , c ) 54 , d ) 72 , e ) 90
Output: c
Problem: a bucket contains 2 mixtures a and b in the ratio 3 : 2 . if 5 liters of the mixture is replaced by 5 liters of liquid b , then the ratio of the two liquids becomes 3 : 5 . how much of the liquid a was there in the bucket ? 
Options: a ) 8 liters , b ) 10 liters , c ) 12 liters , d ) 15 liters , e ) 18 liters
Output: a
Problem: 10 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 2907 , how much was it in the beginning ? 
Options: a ) a ) 3800 , b ) b ) 4200 , c ) c ) 4400 , d ) d ) 4500 , e ) e ) 4600
Output: a
Problem: p , q , r enter into a partnership & their share are in the ratio 1 / 2 : 1 / 3 : 1 / 4 , after two months , p withdraws half of the capitals & after 10 months , a profit of rs 378 is divided among them . what is q ' s share ? 
Options: a ) 114 , b ) 120 , c ) 134 , d ) 144 , e ) none of these
Output: d
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
Output: d
Problem: what is 982 * 982 ? 
Options: a ) 964,169 , b ) 964,219 , c ) 964,324 , d ) 975,019 , e ) 975,369
Output: c
Problem: in a company the manager wants to give some gifts to all of the workers . in each block there are about 100 workers are there . the total amount for giving the gifts for all the workers is $ 4000 . the worth of the gift is $ 4 . how many blocks are there in the company ? 
Options: a ) 12 , b ) 10 , c ) 15 , d ) 17 , e ) 20
Output: b
Problem: the ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by 3 chemists is 1 : 4 . the amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 : 25 is 
Options: a ) 5 kg , b ) 6.625 kg , c ) 6.25 kg , d ) 6.35 kg , e ) 8.8 kg
Output: e
Problem: in a group of cows and chickens , the number of legs was 20 more than twice the number of heads . the number of cows was : 
Options: a ) 5 , b ) 7 , c ) 10 , d ) 12 , e ) 14
Output: c
Problem: according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . how many 20 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice ? 
Options: a ) 15 , b ) 34 , c ) 50 , d ) 67 , e ) 100
Output: a
Problem: in the coordinate plane , points ( x , 2 ) and ( 4 , y ) are on line k . if line k passes through the origin and has slope 1 / 4 , then x - y = 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Output: b
Problem: in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 21,947 . approximately what was the percent increase ? 
Options: a ) 45 % , b ) 125 % , c ) 147 % , d ) 150 % , e ) 225 %
Output: c
Problem: the mean of 50 observations was 36 . it was found later that an observation 34 was wrongly taken as 23 . the corrected new mean is : 
Options: a ) 36.0 , b ) 36.5 , c ) 36.24 , d ) 36.12 , e ) 36.22
Output: e
Problem: what is the average ( arithmetic mean ) of all the multiples of 10 from 10 to 160 inclusive ? 
Options: a ) 90 , b ) 95 , c ) 70 , d ) 105 , e ) 110
Output: c
Problem: a man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 2.5 kmph , find his average speed for the total journey ? 
Options: a ) 1 kmph , b ) 5 kmph , c ) 5.5 kmph , d ) 4 kmph , e ) 7 kmph
Output: c
Problem: if x = 2 ^ 8 and x ^ x = 2 ^ k , what is k ? 
Options: a ) 2 ^ 15 , b ) 2 ^ 14 , c ) 2 ^ 13 , d ) 2 ^ 12 , e ) 2 ^ 11
Output: e
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
Output: e
Problem: in a room with 6 people , 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ? 
Options: a ) 5 / 21 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 7 , e ) 16 / 15
Output: e
Problem: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 5000 as profit , what is their total profit ? 
Options: a ) 28000 , b ) 30000 , c ) 32000 , d ) 35000 , e ) none of these
Output: d
Problem: which number should replace both the asterisks in ( * / 21 ) x ( * / 189 ) = 1 ? 
Options: a ) 21 , b ) 63 , c ) 3969 , d ) 147 , e ) 167
Output: b
Problem: the total population of city a and city b is 5000 more than the total population of city b and city c . how much lesser is the population in city c as compared to city a ? 
Options: a ) 8500 , b ) 3500 , c ) 4500 , d ) 5000 , e ) 1500
Output: d
Problem: two - third of a positive number and 25 / 216 of its reciprocal are equal . the number is : 
Options: a ) 5 / 12 , b ) 12 / 5 , c ) 25 / 144 , d ) 144 / 25 , e ) 146 / 25
Output: a
Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 32 , then how old is b ? 
Options: a ) 17 years , b ) 19 years , c ) 29 years , d ) 10 years , e ) 12 years
Output: e
Problem: how many even multiples of 25 are there between 249 and 501 ? 
Options: a ) 5 , b ) 6 , c ) 9 , d ) 10 , e ) 11
Output: b
Problem: given that 268 x 74 = 19532 , find the value of 2.68 x . 74 . 
Options: a ) 1.9532 , b ) 1.0025 , c ) 1.5693 , d ) 1.0266 , e ) none
Output: a
Problem: 12 times a positive integer is more than its square by 36 , then the positive integer is 
Options: a ) 6 , b ) 10 , c ) 11 , d ) 12 , e ) 14
Output: a
Problem: how many times will the digit 5 be written when listing the integers from 1 to 1000 ? 
Options: a ) 300 , b ) 380 , c ) 180 , d ) 415 , e ) 264
Output: a
Problem: if | y + 7 | = 12 , what is the sum of all the possible values of y ? 
Options: a ) - 14 , b ) - 12 , c ) - 8 , d ) 8 , e ) 12
Output: a
Problem: a bakery has 6 employees . it pays annual salaries of $ 15,000 to each of 2 employees , $ 17,000 to 1 employee , and $ 18,000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ? 
Options: a ) $ 16,200 , b ) $ 16,500 , c ) $ 16,800 , d ) $ 17,000 , e ) $ 17,400
Output: c
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
Output: b
Problem: 4 men and 3 women are lined up in a row . what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other ) 
Options: a ) 12 , b ) 144 , c ) 18 , d ) 21 , e ) 24
Output: b
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
Output: e
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
Output: c
Problem: what is the units digit of ( 63 ^ 4 ) ( 41 ^ 7 ) ( 99 ^ 9 ) ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Output: e
Problem: of 70 players on a football team , 31 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 ) 57 , b ) 59 , c ) 63 , d ) 71 , e ) 92
Output: a
Problem: what is the 4 digit no . in which the 1 st digit is 1 / 3 of the second , the 3 rd is the sum of the 1 st and 2 nd , and the last is 3 times the second ? 
Options: a ) 1123 , b ) 1234 , c ) 1349 , d ) 1455 , e ) 1567
Output: c
Problem: out of 3 consecutive odd numbers 9 times the first number is equal to addition of twice the third number and adding 9 to twice the second . what is the first number ? 
Options: a ) 20 / 21 , b ) 23 / 25 , c ) 24 / 23 , d ) 22 / 5 , e ) 21 / 5
Output: e
Problem: a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 210,000 . 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 ) $ 55,000 , d ) $ 60,000 , e ) $ 75,000
Output: d
Problem: 9 students bought burgers for $ 143 dollars . if the bill has to be divided among these students , how much amount should be added to the amound to make it divided amoung them equally in dollars ( in whole number of dollars ) 
Options: a ) $ 1 , b ) $ 2 , c ) $ 3 , d ) $ 4 , e ) $ 5
Output: a
Problem: from a total of 3 boys and 4 girls , how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ? 
Options: a ) 18 , b ) 24 , c ) 60 , d ) 120 , e ) 240
Output: a
Problem: if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 93 , what is the value of x ? 
Options: a ) 95 , b ) 91 , c ) 102 , d ) 101 , e ) 85
Output: b
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 : 4 . if the sum of their ages is 132 , what is the difference between the ages of patrick and monica ? 
Options: a ) 27 , b ) 48 , c ) 45 , d ) 72 , e ) 33
Output: e
Problem: a no . when divided by 220 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ? 
Options: a ) 2 , b ) 8 , c ) 9 , d ) 11 , e ) 15
Output: b
Problem: linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 220 , what were her original savings ? 
Options: a ) $ 900 , b ) $ 880 , c ) $ 1000 , d ) $ 700 , e ) $ 1500
Output: b
Problem: in a class , 20 % of the students were absent for an exam . 30 % failed by 20 marks and 10 % just passed . find the average score of the class if the remaining students scored an average of 65 marks and the cut off for passing the exam is 40 . 
Options: a ) 36 , b ) 302 , c ) 272 , d ) 292 , e ) 271
Output: a
Problem: in an office , totally there are 1800 employees and 60 % of the total employees are males . 30 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ? 
Options: a ) 756 , b ) 750 , c ) 600 , d ) 760 , e ) none of these
Output: a
Problem: a certain lab experiments with white and brown mice only . in one experiment , 2 / 3 of the mice are white . if there are 11 brown mice in the experiment , how many mice in total are in the experiment ? 
Options: a ) 39 , b ) 33 , c ) 26 , d ) 21 , e ) 10
Output: b
Problem: amithab ' s average expenditure for the january to june is rs . 4200 and he spends rs . 1200 in january and rs . 1500 in july . the average expenditure for the months of febraury to july is : 
Options: a ) rs . 4250 , b ) rs . 4288 , c ) rs . 4227 , d ) rs . 4218 , e ) rs . 4219
Output: a
Problem: suppose f ( x ) is an odd function for which f ( x + 2 ) = f ( x ) for all x , and f ( x ) = x 2 for x 2 ( 0 , 1 ) . compute f ( - 3 / 2 ) + f ( 1 ) . 
Options: a ) - 1 , b ) - 1 / 2 , c ) - 1 / 4 , d ) 1 / 4 , e ) 1 / 2
Output: d
Problem: a certain mixture of nuts consists of 5 parts almonds to 1 parts walnuts , by weight . what is the number of pounds of almonds in 140 pounds of the mixture ? 
Options: a ) 116 , b ) 84 , c ) 40 , d ) 28 , e ) 20
Output: a
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
Output: b
Problem: the simple interest on a sum of money will be rs . 600 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 ) rs . 600 , b ) rs . 900 , c ) 1200 rupees , d ) rs . 1500 , e ) none
Output: c
Problem: pat , kate , and mark charged a total of 153 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark , how many more hours did mark charge to the project than kate ? 
Options: a ) 85 , b ) 36 , c ) 72 , d ) 90 , e ) 108
Output: a
Problem: how many integerskgreater than 100 and less than 1100 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
Output: e
Problem: 3 , 5 , 7 , 11 , 13 , 17 , 19 , ____ 
Options: a ) 25 , b ) 36 , c ) 23 , d ) 49 , e ) 27
Output: c
Problem: the sum of the ages of 5 children born at the intervals of 3 years each is 50 years . what is the age of the youngest child ? 
Options: a ) 4 years , b ) 8 years , c ) 10 years , d ) 12 years , e ) none of these
Output: a
Problem: given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] – 10 = f ( x – 2 ) ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: c
Problem: for all numbers a and b , the operation is defined by ab = ( a + 2 ) ( b – 3 ) . if 3 x = – 20 , then x = 
Options: a ) – 15 , b ) – 6 , c ) 3 , d ) 6 , e ) - 1
Output: e
Problem: if the remainder is 15 when the integer n is divided by 28 , what is the remainder when 2 n is divided by 14 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: c
Problem: what is the units digit of ( 7 ! * 6 ! + 6 ! * 4 ! ) / 2 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: a
Problem: if a ( a - 7 ) = 8 and b ( b - 7 ) = 8 , where a ≠ b , then a + b = 
Options: a ) − 48 , b ) − 2 , c ) 2 , d ) 7 , e ) 48
Output: d
Problem: sowdharya had 90 currency notes in all , some of which are of rs 95 denomination and the remaining of rs 45 denomination . the total amount of all these currency notes was rs . 5000 . how much amount ( in rs ) did she have in the denomination of rs 45 ? 
Options: a ) 75 , b ) 72 , c ) 71 , d ) 76 , e ) 73
Output: c
Problem: mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.00 . each pot cost 0.25 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? 
Options: a ) $ 1.75 , b ) $ 1.96 , c ) $ 2.00 , d ) $ 2.15 , e ) $ 2.30
Output: b
Problem: right triangle pqr is to be constructed in the xy - plane so that the right angle is at p and pr is parallel to the x - axis . the x - and y - coordinates of p , q and r are to be integers that satisfy the inequalities - 4 < = x < = 5 and 6 < = y < = 16 . how many different triangles with these properties could be constructed ? 
Options: a ) 110 , b ) 1100 , c ) 9900 , d ) 10000 , e ) 12100
Output: c
Problem: if x is 40 percent greater than 88 , then x = 
Options: a ) 68 , b ) 70.4 , c ) 123.2 , d ) 105.6 , e ) 108
Output: c
Problem: if a ( a - 4 ) = 5 and b ( b - 4 ) = 5 , where a ≠ b , then a + b = 
Options: a ) − 48 , b ) − 4 , c ) 4 , d ) 9 , e ) 48
Output: c
Problem: a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what w percent of the list price is the lowest possible sale price ? 
Options: a ) 20 , b ) 25 , c ) 30 , d ) 40 , e ) 50
Output: d
Problem: there are 60 supermarkets in the fgh chain . all of them are either in the us or canada . if there are 14 more fgh supermarkets in the us than in canada , how many fgh supermarkets are there in the us ? 
Options: a ) 20 , b ) 37 , c ) 42 , d ) 53 , e ) 64
Output: b
Problem: if x # y is defined to equal x ^ 2 / y for all x and y , then ( - 1 # 2 ) # 2 = 
Options: a ) 4 / 3 , b ) 1 / 3 , c ) 1 / 12 , d ) 1 / 8 , e ) - 4 / 3
Output: d
Problem: a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added 15 % impurities to the product . find the net profit percentage of the dealer ? 
Options: a ) 46.85 % , b ) 43.75 % , c ) 50 % , d ) 56.25 % , e ) 36 %
Output: b
Problem: a certain list consists of 21 different numbers . if n is in the list and n is 5 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ? 
Options: a ) 1 / 20 , b ) 1 / 6 , c ) 1 / 5 , d ) 4 / 21 , e ) 5 / 21
Output: c
Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 44 meters . how many times did the ball bounce ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 3 , e ) 9
Output: d
Problem: drum x is 1 / 2 full of oil and drum y , which has twice the capacity of drum x , is 1 / 5 full of oil . if all of the oil in drum x is poured into drum y , then drum y will be filled to what capacity ? 
Options: a ) 3 / 10 , b ) 7 / 10 , c ) 9 / 10 , d ) 9 / 20 , e ) 13 / 20
Output: d
Problem: a certain company expects quarterly earnings of $ 0.80 per share of stock , half of which will be distributed as dividends to shareholders while the rest will be used for research and development . if earnings are greater than expected , shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings . if quarterly earnings are $ 1.10 per share , what will be the dividend paid to a person who owns 600 shares of the company ' s stock ? 
Options: a ) $ 92 , b ) $ 312 , c ) $ 104 , d ) $ 120 , e ) $ 240
Output: b
Problem: in a recent election , james received 0.5 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ? 
Options: a ) 901 , b ) 989 , c ) 990 , d ) 991 , e ) 1,001
Output: d
Problem: in a room filled with 7 people , 3 people have exactly 1 sibling in the room and 4 people have exactly 2 siblings in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ? 
Options: a ) 5 / 21 , b ) 3 / 7 , c ) 4 / 7 , d ) 5 / 7 , e ) 13 / 21
Output: e
Problem: in arun ’ s opinion , his weight is greater than 65 kg but less than 72 kg . his brother doest 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 68 kg . if all are them are correct in their estimation , what is the average of different probable weights of arun ? 
Options: a ) 66 kg , b ) 67 kg , c ) 68 kg , d ) 69 kg , e ) none of these
Output: b
Problem: at veridux corporation , there are 215 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 135 male associates , how many female managers are there ? 
Options: a ) 50 , b ) 20 , c ) 25 , d ) 30 , e ) 35
Output: a
Problem: a vendor sells 50 percent of the apples he had and throws away 20 percent of the remainder . the next day , the vendor sells 50 percent of the remaining apples and throws away the rest . in total , what percent of his apples does the vendor throw away ? 
Options: a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50
Output: a
Problem: two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs , x and y . now , jug x is 1 / 5 full , while jug y is 4 / 7 full . if water is poured from jug x into jug y until jug y is filled , what fraction of jug x then contains water ? 
Options: a ) 0 , b ) 1 / 15 , c ) 2 / 15 , d ) 1 / 20 , e ) 2 / 10
Output: d
Problem: there are 6 chess amateurs playing in villa ' s chess club tournament . if each chess amateur plays with exactly 15 other amateurs , what is the total number of chess games possible to be played in the tournament ? 
Options: a ) 10 , b ) 20 , c ) 45 , d ) 60 , e ) 120
Output: c
Problem: a , b and c started a business with a total investment of rs . 72000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find c ' s share . 
Options: a ) rs . 3240 , b ) rs . 2520 , c ) rs . 2880 , d ) rs . 3360 , e ) none of these
Output: c
Problem: a no . when divided by 142 gives a remainder 110 , what remainder will be obtainedby dividingthe same no . 14 ? 
Options: a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20
Output: c
Problem: in a room with 10 people , 7 people have exactly 1 friend in the room and 6 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 ) 49 / 45
Output: e
Problem: the price of lunch for 12 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ? 
Options: a ) 11.73 , b ) 12 , c ) 13.8 , d ) 14 , e ) 15
Output: e
Problem: how many different values of positive integer x , for which | x + 9 | < x , are there ? 
Options: a ) 0 , b ) 2 , c ) 3 , d ) 8 , e ) 16
Output: c
Problem: ( 128.5 x 60 ) + ( 13.8 x 65 ) = ? x 25 
Options: a ) 524.48 , b ) 344.28 , c ) 574.36 , d ) 585.64 , e ) 595.46
Output: b
Problem: x and y are both integers . if x / y = 59.80 , then what is the sum of all the possible two digit remainders of x / y ? 
Options: a ) 560 , b ) 616 , c ) 672 , d ) 200 , e ) 1024
Output: d
Problem: in the hillside summer camp there are 60 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ? 
Options: a ) 50 . , b ) 45 . , c ) 40 . , d ) 60 . , e ) 25 .
Output: d
Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets 1000 more than d , what is b ’ s share ? 
Options: a ) 500 , b ) 1500 , c ) 2000 , d ) 1400 , e ) none of these
Output: c
Problem: how many integers from 40 to 200 , inclusive , are divisible by 3 but not divisible by 7 ? 
Options: a ) 20 , b ) 31 , c ) 35 , d ) 40 , e ) 45
Output: e
Problem: find large number from below question the difference of two numbers is 2415 . on dividing the larger number by the smaller , we get 21 as quotient and the 15 as remainder 
Options: a ) 1209 , b ) 1324 , c ) 1245 , d ) 1300 , e ) 2535
Output: e
Problem: on a partly cloudy day , derek decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction r of the total distance did he cover while the sun was shining on him ? 
Options: a ) 1 / 4 , b ) 4 / 5 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 7
Output: e
Problem: what is the remainder when you divide 2 ^ 200 - 2 by 7 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: b
Problem: a person was asked to subtract 25 % of a number from the original but he subtracted 25 from the number . his answer was 25 more than correct one . what was the original number ? 
Options: a ) 288 , b ) 266 , c ) 288 , d ) 200 , e ) 111
Output: d
Problem: a movie buff owns movies on dvd and on blu - ray in a ratio of 7 : 2 . if she buys 5 more blu - ray movies , that ratio would change to 13 : 4 . if she owns movies on no other medium , what was the original number of movies in her library before the extra purchase ? 
Options: a ) 22 , b ) 28 , c ) 77 , d ) 99 , e ) 351
Output: e
Problem: there are certain number of hats and gloves in a box . they are of 41 red , 23 green , 11 orange . power gone but a woman can differentiate between hats and gloves . how many draws are required to obtain a pair of each color ? 
Options: a ) 66 , b ) 67 , c ) 68 , d ) 69 , e ) 70
Output: a
Problem: in the xy - coordinate system , if ( m , n ) and ( m + 5 , n + k ) are two points on the line with the equation x = 2 y + 5 , then k = 
Options: a ) 1 / 2 , b ) 1 , c ) 2 , d ) 5 / 2 , e ) 4
Output: d
Problem: the average monthly salary of 8 workers and one supervisor in a factory was 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . whenthesupervisor , whosesalarywas 430 . when the supervisor , whose salary was 870 per month , retired , a new person was appointed and then the average salary of 9 people was $ $ 420 per month . the salary of the new supervisor is : 
Options: a ) 233 , b ) 600 , c ) 287 , d ) 780 , e ) 191
Output: d
Problem: the contents of a certain box consist of 24 oranges and 30 kiwis . how many kiwis must be added to the box so that exactly 30 % of the pieces of fruit in the box will be oranges ? 
Options: a ) 24 , b ) 26 , c ) 30 , d ) 46 , e ) 50
Output: b
Problem: a number when divided by a certain divisor left remainder 241 , when twice the number was divided by the same divisor , the remainder was 115 . find the divisor ? 
Options: a ) 370 , b ) 365 , c ) 380 , d ) 367 , e ) 460
Output: d
Problem: company z has 61 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday . 
Options: a ) 6 , b ) 7 , c ) 13 , d ) 9 , e ) 12
Output: c
Problem: find the least number which when divided by 38 and 3 leaves a remainder of 1 in each case . 
Options: a ) 107 , b ) 109 , c ) 111 , d ) 113 , e ) 115
Output: e
Problem: carina has 130 ounces of coffee divided into 5 - and 10 - ounce packages . if she has 2 more 5 - ounce packages than 10 - ounce packages , how many 10 - ounce packages does she have ? 
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Output: d
Problem: an amount of rs . 1638 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of c ? 
Options: a ) 386 , b ) 378 , c ) 396 , d ) 395 , e ) 394
Output: b
Problem: if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 80 , how much more remains to be paid ? 
Options: a ) $ 640 , b ) $ 680 , c ) $ 720 , d ) $ 760 , e ) $ 800
Output: c
Problem: the age of somu is one - third his father ' s . 6 years back he was one - fifth of his father ' s age . what is his persent age ? 
Options: a ) 11 , b ) 13 , c ) 14 , d ) 12 , e ) 10
Output: d
Problem: when a student joe , weighing 44 kg , joins a group of students whose average weight is 30 kg , the average weight goes up by 1 kg . subsequently , if two students , excluding joe , leave the group the average weight comes back to 30 kg . what is the difference between the average weight of the two students who left and the weight of joe ? 
Options: a ) 5.5 kg , b ) 11 kg , c ) 30 kg , d ) 36.5 kg , e ) 7 kg
Output: e
Problem: find large number 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 15 as remainder ? 
Options: a ) 1234 , b ) 1540 , c ) 1650 , d ) 1632 , e ) 1635
Output: e
Problem: 3 positive integers a , b , and c are such that their average is 20 and a ≤ b ≤ c . if the median is ( a + 13 ) , what is the least possible value of c ? 
Options: a ) 21 , b ) 22 , c ) 23 , d ) 24 , e ) 25
Output: e
Problem: if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 73 , what is the value of x ? 
Options: a ) 71 , b ) 75 , c ) 85 , d ) 83 , e ) 82
Output: a
Problem: 20 % of major airline companies equip their planes with wireless internet access . 70 % of major airlines offer passengers free on - board snacks . what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks ? 
Options: a ) 20 % , b ) 30 % , c ) 40 % , d ) 70 % , e ) 90 %
Output: a
Problem: the smallest number which when diminished by 9 , is divisible 13 , 26 , 39 , 52 and 65 is : 
Options: a ) 789 , b ) 769 , c ) 790 , d ) 787 , e ) 788
Output: a
Problem: there are a total of 100 jars on the shelf . small jars hold 3 liters and large jars hold 5 liters . the jars can hold a total of 376 liters . how many small jars are on the shelf ? 
Options: a ) 49 , b ) 53 , c ) 56 , d ) 59 , e ) 62
Output: e
Problem: what is the remainder when ( 63 ) ( 65 ) is divided by 8 ? 
Options: a ) 1 , b ) 2 , c ) 4 , d ) 5 , e ) 7
Output: e
Problem: linda spent 3 / 5 of her savings on furniture and the rest on a tv . if the tv cost her $ 400 , what were her original savings ? 
Options: a ) $ 900 , b ) $ 300 , c ) $ 600 , d ) $ 1000 , e ) $ 800
Output: d
Problem: the average of first 15 natural numbers is ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Output: b
Problem: what is the 20 - fourth decimal to the right in the fraction 35 / 36 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: b
Problem: 69 laboratories raise the bacterium , the laboratory have 48 culture dishes on average , which has about 25,075 bacteria each . how many bacteria are there approximately ? 
Options: a ) 10 ^ 7 , b ) 10 ^ 8 , c ) 10 ^ 9 , d ) 10 ^ 10 , e ) 10 ^ 11
Output: a
Problem: 4 milkmen rented a pasture . a grazed 24 cows for 3 months , b 10 cows for 5 months , c 35 cows for 4 months and d 21 cows for 3 months . if a ’ s share of rent is rs . 720 , find the total rent of the field . 
Options: a ) rs . 3250 , b ) rs . 3350 , c ) rs . 3450 , d ) rs . 3550 , e ) rs . 3650
Output: a
Problem: find the number which when multiplied by 15 is increased by 196 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 17
Output: c
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
Output: a
Problem: it takes 3 workers a total of 15 hours to build a giant machine with each worker working at the same rate . if 5 workers start to build the machine at 11 : 00 am , and one extra worker per hour is added beginning at 1 : 00 pm , at what time will the machine be complete ? 
Options: a ) 4 : 30 , b ) 4 : 45 , c ) 5 : 00 , d ) 5 : 15 , e ) 5 : 30
Output: e
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
Output: e
Problem: a satellite is composed of 30 modular units , each of which is equipped with a set of sensors , some of which have been upgraded . each unit contains the same number of non - upgraded sensors . if the number of non - upgraded sensors on one unit is 1 / 6 the total number of upgraded sensors on the entire satellite , what fraction of the sensors on the satellite have been upgraded ? 
Options: a ) 5 / 6 , b ) 1 / 5 , c ) 1 / 6 , d ) 1 / 7 , e ) 1 / 24
Output: c
Problem: the average expenditure of a labourer for 6 months was 75 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income i 
Options: a ) 70 , b ) 72 , c ) 75 , d ) 78 , e ) 80
Output: b
Problem: the average weight of a , b , c is 45 kg . the avgwgt of a & b be 40 kg & that of b , c be 43 kg . find the wgt of b . 
Options: a ) 23 , b ) 43 , c ) 21 , d ) 31 , e ) 43
Output: d
Problem: in a group of ducks and cows , the total number of legs are 34 more than twice the no . of heads . find the total no . of buffaloes . 
Options: a ) 11 , b ) 12 , c ) 14 , d ) 17 , e ) 18
Output: d
Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 130 visitors who did not enjoy the painting also did not feel they had understood the painting , and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting . if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting , then how many visitors answered the questionnaire ? 
Options: a ) 90 , b ) 120 , c ) 160 , d ) 360 , e ) 520
Output: e
Problem: if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 3 ø 1 ) ø 1 = ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 16 , e ) 32
Output: c
Problem: george went to a fruit market with certain amount of money . with this money he can buy either 50 oranges or 40 mangoes . he retains 8 % of the money for taxi fare and buys 20 mangoes . how many oranges can he buy ? 
Options: a ) 21 , b ) 30 , c ) 20 , d ) 16 , e ) 12
Output: a
Problem: the no 2.52 , when written as a fraction and reduced to lowest terms , the sum of the numeratr n denominator is : 
Options: a ) 7 , b ) 141 , c ) 29 , d ) 349 , e ) 359
Output: d
Problem: when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes . if the university pays $ 1.20 for every box , and if the university needs 3.06 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ? 
Options: a ) $ 255 , b ) $ 275 , c ) $ 510 , d ) $ 612 , e ) $ 2,550
Output: d
Problem: 1 = 5,2 = 25,3 = 253,4 = 150,5 = 225 then 150 = ? 
Options: a ) 1 , b ) 255 , c ) 4 , d ) 445 , e ) 235
Output: c
Problem: at company x , senior sales representatives visit the home office once every 12 days , and junior sales representatives visit the home office once every 8 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 %
Output: d
Problem: find the smallest number which leaves 2235 , 48 and 61 as remainders when divided by 26 , 39 , 52 and 65 respectively . 
Options: a ) 67 , b ) 26 , c ) 99 , d ) 26 , e ) 91
Output: d
Problem: in an ngo the daily average wages of 20 illiterate employees is decreased from rs . 25 to rs . 10 , thus the average salary of all the literate and illiterate employees is decreased rs . 10 per day . the no . of educated employees working in the ngo is : 
Options: a ) 12 , b ) 11 , c ) 10 , d ) 27 , e ) 22
Output: c
Problem: 5 / 8 of 3 / 10 of a number is greater than 4 / 9 of 1 / 4 of the same number by 55 . what is half of that number ? 
Options: a ) 310 , b ) 312 , c ) 320 , d ) 314 , e ) 360
Output: e
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 rs . 2000 more than d , what is b ' s share ? 
Options: a ) a ) 4000 , b ) b ) 2900 , c ) c ) 2000 , d ) d ) 2393 , e ) e ) 2009
Output: a
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
Output: c
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 ratio of the number of boys to the number of girls in the class is 
Options: a ) 7 : 3 , b ) 2 : 3 , c ) 9 : 3 , d ) 6 : 3 , e ) 2 : 5
Output: b
Problem: if all the 6 are replaced by 9 , then the algebraic sum of all the numbers from 1 to 100 ( both inclusive ) varies by how much ? 
Options: a ) 330 , b ) 360 , c ) 380 , d ) 400 , e ) 420
Output: a
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 35 instead of 99 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 ) 73.82
Output: e
Problem: when y is divided by 264 , the remainder is 42 . what is the remainder when the same y is divided by 22 ? 
Options: a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20
Output: e
Problem: find the least number which when divided by 26 , 36 and 46 leaves the remainders 12 , 22 and 32 respectively . 
Options: a ) 10570 , b ) 10750 , c ) 17050 , d ) 10075 , e ) 10085
Output: b
Problem: the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 502 to 600 inclusive ? 
Options: a ) 23,550 , b ) 27,550 , c ) 31,550 , d ) 35,550 , e ) 39,550
Output: b
Problem: if x is an integer such that 0 < x < 12 , 1 < x < 15 , 10 > x > 5 , 11 > x > 8 , and x + 2 < 12 , then x is 
Options: a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 11
Output: d
Problem: a man performs 3 / 5 of the total journey by rail , 17 / 20 by bus and the remaining 6.5 km on foot . his total journey is ? 
Options: a ) 130 , b ) 152 , c ) 225 , d ) 260 , e ) 180
Output: a
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
Output: d
Problem: a box contains 14 pairs of shoes ( 28 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ? 
Options: a ) 1 / 190 , b ) 1 / 20 , c ) 1 / 19 , d ) 1 / 27 , e ) 1 / 9
Output: d
Problem: a bakery has 6 employees . it pays annual salaries of $ 16,000 to each of 2 employees , $ 18,000 to 1 employee , and $ 19,000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ? 
Options: a ) $ 17,200 , b ) $ 17,500 , c ) $ 17,800 , d ) $ 18,000 , e ) $ 18,400
Output: c
Problem: 3 students appear at an examination of mathematics . the probability of their success are 1 / 2 , 1 / 4 , 1 / 5 respectively . find the probability of success of at least two . 
Options: a ) 1 / 60 , b ) 2 / 50 , c ) 9 / 40 , d ) 3 / 40 , e ) 4 / 50
Output: c
Problem: a certain box has 11 cards and each card has one of the integers from 1 to 11 inclusive . each card has a different number . if 2 different cards are selected at random , what is the probability that the sum of the numbers written on the 2 cards is less than the average ( arithmetic mean ) of all the numbers written on the 11 cards ? 
Options: a ) 1 / 11 , b ) 2 / 11 , c ) 2 / 33 , d ) 4 / 55 , e ) 5 / 66
Output: d
Problem: what is the sum of the integers from - 185 to 195 inclusive ? 
Options: a ) 0 , b ) 5 , c ) 375 , d ) 1905 , e ) 965
Output: d
Problem: if the number is divided by 3 , it reduced by 30 . the number is 
Options: a ) a ) 51 , b ) b ) 50 , c ) c ) 45 , d ) d ) 40 , e ) e ) 36
Output: c
Problem: a car travels uphill at 30 km / hr and downhill at 50 km / hr . it goes 100 km uphill and 50 km downhill . find the average speed of the car ? 
Options: a ) 32 kmph , b ) 33 kmph , c ) 34 kmph , d ) 35 kmph , e ) 36 kmph
Output: d
Problem: the tax on a commodity is diminished by 32 % but its consumption is increased by 12 % . find the decrease percent in the revenue derived from it ? 
Options: a ) 20 % , b ) 18 % , c ) 15 % , d ) 12 % , e ) 24 %
Output: e
Problem: if a certain number x is divided by 82 , the reminder is 5 . what is the reminder when x + 3 is divided by 41 ? 
Options: a ) 3 , b ) 5 , c ) 6 , d ) 16 , e ) 18
Output: e
Problem: the average of first 12 even numbers is ? 
Options: a ) 19 , b ) 18 , c ) 16 , d ) 13 , e ) 17
Output: d
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
Output: e
Problem: let f ( x ) = x ^ 2 + bx + c . if f ( 1 ) = 0 and f ( - 9 ) = 0 , then f ( x ) crosses the y - axis at what y - coordinate ? 
Options: a ) - 9 , b ) - 1 , c ) 0 , d ) 1 , e ) 9
Output: a