niryuu/sni-each-converted huggingface dataset:
Problem: a car ferry can hold up to 70 tons of cargo. what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 4 tons ?
Options: a. 14, b. 20, c. 28, d. 32, e. 36
Output: c
Problem: two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 22 seconds. the ratio of their speeds is ?
Options: a. 3 / 1, b. 3 / 1, c. 1 / 1, d. 3 / 5, e. 5 / 2
Output: c
Problem: exactly 3 / 7 of the people in the room are under the age of 21, and exactly 5 / 9 of the people in the room are over the age of 65. if the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21 ?
Options: a. 27, b. 35, c. 39, d. 60, e. 65
Output: a
Problem: 4, 12, 48, 240, 1440, 10080, (... )
Options: a. 80640, b. 10080, c. 6200, d. 10020, e. 12500
Output: a
Problem: the product of two successive numbers is 7832. which is the smaller of the two numbers ?
Options: a. 78, b. 68, c. 88, d. 97, e. 37
Output: c
Problem: the value of 3.6 x 0.48 x 2.50 / 0.12 x 0.09 x 0.5 is
Options: a. 80, b. 800, c. 8000, d. 80000, e. none of these
Output: b
Problem: two pipes can fill the cistern in 10 hr and 12 hr respectively, while the third empty it in 30 hr. if all pipes are opened simultaneously, then the cistern will be filled in
Options: a. 6.67 hr, b. 8 hr, c. 8.5 hr, d. 10 hr, e. none of these
Output: a
Problem: if 1 / 8 of a pencil is black 1 / 2 of the remaining is white and the remaining 7 / 2 is blue find the total length of the pencil ?
Options: a. 7.33 cm, b. 6.33 cm, c. 5.33 cm, d. 9.33 cm, e. 8.33 cm
Output: d
Problem: the average temperature for monday, tuesday, wednesday and thursday was 48 degrees and for tuesday, wednesday, thursday and friday was 46 degrees. if the temperature on monday was 42 degrees. find the temperature on friday ?
Options: a. 34, b. 55, c. 66, d. 81, e. 21
Output: a
Problem: a certain taxi company charges $ 2.10 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile. what would this company charge for a taxi ride that was 8 miles long ?
Options: a. 15.6, b. 16.0, c. 17.7, d. 18.7, e. 19.1
Output: c
Problem: two cyclist start from the same places in opposite directions. one is going towards north at 30 kmph and the other is going towards south 40 kmph. what time will they take to be 50 km apart ?
Options: a. 1.32 hr, b. 0.714 hrs, c. 3.231 hrs, d. 0.515 hrs, e. 6.214 hrs
Output: b
Problem: in x - y plane, there is a right triangle abc ( ∠ b = 90 o ). if the length of ac is 25 and the slope of line segment ac is 4 / 3, what is the length of ab ?
Options: a. 12, b. 18, c. 24, d. 20, e. 40
Output: d
Problem: the average of 5 consecutive odd numbers a, b, c, d and e is 13. what percent of b is c ?
Options: a. 98.2, b. 102.8, c. 108.2, d. 118.2, e. 122.8
Output: d
Problem: a palindrome is a number that reads the same forward and backward, such as 343. how many odd, 8 - digit numbers are palindromes ?
Options: a. 4000, b. 4500, c. 5055, d. 5000, e. 2500
Output: d
Problem: a person borrows rs. 7000 for 2 years at 4 % p. a. simple interest. he immediately lends it to another person at 6 p. a for 2 years. find his gain in the transaction per year.
Options: a. 100 rs, b. 150 rs, c. 140 rs, d. 180 rs, e. 200 rs
Output: c
Problem: two tests had the same maximum mark. the pass percentages in the first and the second test were 40 % and 45 % respectively. a candidate scored 240 marks in the second test and failed by 57 marks in that test. find the pass mark in the first test ?
Options: a. 768, b. 243, c. 246, d. 264, e. 224
Output: d
Problem: if the side of the regular hexagon above is 2, what is the circumference of the inscribed circle ?
Options: ['a. 2 ∏ √ 3', 'b. 3 ∏', 'c. 4 ∏ / √ 3', 'd. 2 ∏ / √ 3', 'e. ∏ √ 3']
Output: a
Problem: what is the difference between the local value of 1 and 2 in the number 2124 ?
Options: a. 70, b. 75, c. 20, d. 80, e. 60
Output: d
Problem: in 10 years, a will be twice as old as b was 10 years ago. if a is now 7 years older than b the present age of b is
Options: a. 37, b. 38, c. 39, d. 40, e. 41
Output: a
Problem: the ratio of the present age of sandy to that of molly is 9: 2. eight years from now, the ratio of the ages of sandy to molly will be 5: 2. what was sandy ' s age 6 years ago ?
Options: a. 18, b. 21, c. 24, d. 27, e. 30
Output: b
Problem: rebecca ' s annual income is $ 15, and jimmy ' s annual income is $ 18. by how much must rebecca ' s annual income increase so that it constitutes 50 % of rebecca and jimmy ' s combined income ?
Options: a. 7, b. 8, c. 9, d. 3, e. 10
Output: d
Problem: you buy a piece of land with an area of â ˆ š 1600, how long is one side of the land plot ?
Options: a. 28, b. 40, c. 30, d. 31, e. 32
Output: b
Problem: a can do a work in 15 days b in 14 days and c in 16 days. if they work on it together then in how many days required to complete the work ?
Options: a. 3360 / 210, b. 3360 / 21, c. 3360 / 674, d. 3360 / 240, e. 3360 / 224
Output: c
Problem: tanks a and b are each in the shape of a right circular cylinder. the interior of tank a has a height of 10 meters and a circumference of 9 meters, and the interior of tank b has a height of 9 meters and a circumference of 10 meters. the capacity of tank a is what percent of the capacity of tank b ?
Options: a. 75 %, b. 90 %, c. 100 %, d. 120 %, e. 125 %
Output: b
Problem: what is the smallest positive integer x such that 66 - x is the cube of a positive integer
Options: a. 5, b. 7, c. 47, d. 9, e. 2
Output: e
Problem: a cistern can be filled by a tap in 6 hours while it can be emptied by another tap in 12 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled ?
Options: a. 5.2 hrs, b. 2.9 hrs, c. 12 hrs, d. 7.2 hrs, e. 1.4 hrs
Output: c
Problem: seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture y is 25 percent ryegrass and 75 percent fescue. if a mixture of x and y contains 40 percent ryegrass, what percent of the weight of this mixture is x ?
Options: a. 100 %, b. 33.33 %, c. 40 %, d. 50 %, e. 66.66 %
Output: a
Problem: a survey of n people in the town of eros found that 50 % of them preferred brand a. another survey of 125 people in the town of angie found that 60 % preferred brand a. in total, 55 % of all the people surveyed together preferred brand a. what is the total number of people surveyed ?
Options: a. 50, b. 100, c. 150, d. 200, e. 250
Output: e
Problem: the operation is defined for all integers a and b by the equation ab = ( a - 1 ) ( b - 1 ). if y 12 = 110, what is the value of y ?
Options: a. 11, b. 12, c. 13, d. 15, e. 18
Output: a
Problem: each month a retailer sells 100 identical items. on each item he makes a profit of $ 60 that constitutes 10 % of the item ' s price to the retailer. if the retailer contemplates giving a 5 % discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount ?
Options: a. 191, b. 213, c. 221, d. 223, e. 226
Output: d
Problem: a and b go around a circular track of length 200 m on a cycle at speeds of 36 kmph and 72 kmph. after how much time will they meet for the first time at the starting point ?
Options: a. 120 sec, b. 198 sec, c. 178 sec, d. 20 sec, e. 276 sec
Output: d
Problem: if x and y are both odd prime numbers and x < y, how many distinct positive r integer factors does 2 xy have ?
Options: a. 3, b. 4, c. 6, d. 8, e. 12
Output: d
Problem: a man can row 8 kmph in still water. when the river is running at 3 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man ?
Options: a. 5.75, b. 5.7, c. 5.76, d. 5.74, e. 6.8
Output: e
Problem: the length of a train and that of a platform are equal. if with a speed of 36 k / hr, the train crosses the platform in one minute, then the length of the train ( in meters ) is ?
Options: a. 752, b. 799, c. 300, d. 750, e. 712
Output: c
Problem: the overall age of x and y is 19 year greater than the overall age of y and z. z is how many decades younger that x ?
Options: a. 11, b. 15, c. 12, d. 19, e. 20
Output: d
Problem: for all real numbers v, an operation is defined by the equation v * = v - v / 3. if ( v * ) * = 16, then v =
Options: a. 30, b. 33, c. 36, d. 39, e. 42
Output: c
Problem: find the perimeter and area of the rectangle of length 11 cm and breadth 9 cm.
Options: a. 71 cm 2, b. 99 cm 2, c. 141 cm 2, d. 171 cm 2, e. 221 cm 2
Output: b
Problem: a group of men decided to do a work in 55 days, but 15 of them became absent. if the rest of the group did the work in 60 days, find the original number of men ?
Options: a. 180, b. 150, c. 140, d. 100, e. 25
Output: a
Problem: two trains are moving in the same direction at 108 kmph and 54 kmph. the faster train crosses a man in the slower train in 24 seconds. find the length of the faster train ?
Options: a. 320, b. 330, c. 340, d. 350, e. 360
Output: e
Problem: a student travels from his house to school at 10 km / hr and reaches school 2 hours late. the next day he travels 15 km / hr and reaches school 1 hour early. what is the distance between his house and the school ?
Options: a. 60, b. 70, c. 80, d. 90, e. 100
Output: d
Problem: a train 250 m long, running with a speed of 50 km / hr will pass a tree in ?
Options: a. 18 sec, b. 20 sec, c. 25 sec, d. 30 sec, e. 1 min
Output: a
Problem: the length of minute hand of a clock is 5.4 cm. what is the area covered by this in 20 minutes
Options: a. 15.27, b. 16.27, c. 17.27, d. 30.54, e. 30.27
Output: d
Problem: country x imposes a two - tiered tax on imported cars: the first tier imposes a tax of 25 % of the car ' s price up to a certain price level. if the car ' s price is higher than the first tier ' s level, the tax on the portion of the price that exceeds this value is 15 %. if ron imported a $ 30000 imported car and ended up paying $ 5500 in taxes, what is the first tier ' s price level ?
Options: a. $ 10000, b. $ 11000, c. $ 12000, d. $ 10500, e. $ 11500
Output: a
Problem: in the faculty of reverse - engineering, 230 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. how many students are there in the faculty if the second year students are approximately 80 % of the total ?
Options: a. 515., b. 545., c. 618., d. 649., e. 666.
Output: d
Problem: the standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 48. what is a possible value for the mean of the distribution ?
Options: a. 46, b. 47, c. 48, d. 55, e. 50
Output: d
Problem: a certain telephone company offers two plans, a and b. under plan a, the company charges a total of $ 0.60 for the first 9 minutes of each call and $ 0.06 per minute thereafter. under plan b, the company charges $ 0.08 per minute of each call. what is the duration of a call, in minutes, for which the company charges the same amount under plan a and under plan b ?
Options: a. 3, b. 9, c. 15, d. 21, e. 30
Output: a
Problem: zachary is helping his younger brother, sterling, learn his multiplication tables. for every question that sterling answers correctly, zachary gives him 3 pieces of candy. for every question that sterling answers incorrectly, zachary takes away two pieces of candy. after 9 questions, if sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. how many of the 9 questions did zachary answer correctly ?
Options: a. 6, b. 7, c. 8, d. 9, e. 10
Output: c
Problem: if the average of 5 positive integers is 60 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers ?
Options: a. 50, b. 52, c. 49, d. 68, e. 74
Output: d
Problem: in a certain company, a third of the workers do not have a retirement plan. 20 % of the workers who do not have a retirement plan are women, and 40 % of the workers who do have a retirement plan are men. if 160 of the workers of that company are men, how many of the workers are women ?
Options: a. 80, b. 95, c. 105, d. 120, e. 140
Output: e
Problem: the cost of a one - family home was $ 120,000 in 1980. in 1988, the price had increased to $ 180,000. what was the percent increase in the cost of the home ?
Options: a. 60 %, b. 50 %, c. 55 %, d. 40 %, e. 33.3 %
Output: b
Problem: sum of 53 odd numbers is ?
Options: a. 2709, b. 2809, c. 2909, d. 3009, e. 3109
Output: b
Problem: find the value of 5 + 2 â € ¢ ( 8 â € “ 3 )
Options: a. 25, b. 13, c. 17, d. 24, e. 15
Output: e
Problem: the mass of 1 cubic meter of a substance is 500 kilograms under certain conditions. what is the volume, in cubic centimeters, of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1, 000,000 cubic centimeters )
Options: a. 0.8, b. 1.25, c. 2.0, d. 2.5, e. 80.0
Output: c
Problem: what least number should be added to 1057, so that the sum is completely divisible by 23
Options: a. a. 4, b. b. 1, c. c. 2, d. d. 3, e. e. 5
Output: b
Problem: he ratio between the sale price and the cost price of an article is 5: 6. what is the ratio between the profit and the cost price of that article ?
Options: a. 2: 6, b. 1: 8, c. 1: 6, d. 2: 1, e. 2: 5
Output: c
Problem:. in digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be ?
Options: a. 3323, b. 1000, c. 2877, d. 2992, e. 7111
Output: b
Problem: when 1 / 20 % of 8,000 is subtracted from 1 / 10 of 8,000, the difference is
Options: a. 50, b. 200, c. 380, d. 798, e. 400
Output: d
Problem: 35 % of the employees of a company are men. 60 % of the men in the company speak french and 40 % of the employees of the company speak french. what is % of the women in the company who do not speak french ?
Options: a. 4 %, b. 10 %, c. 96 %, d. 90.12 %, e. 70.77 %
Output: e
Problem: how many integers k greater than 100 and less than 700 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99 ?
Options: a. 50, b. 60, c. 70, d. 80, e. 90
Output: a
Problem: a motorcyclist started riding at highway marker a, drove 120 miles to highway marker b, and then, without pausing, continued to highway marker c, where she stopped. the average speed of the motorcyclist, over the course of the entire trip, was 45 miles per hour. if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride, and the distance from marker b to marker c was half of the distance from marker a to marker b, what was the average speed, in miles per hour, of the motorcyclist while driving from marker b to marker c ?
Options: a. 40, b. 45, c. 50, d. 55, e. 60
Output: e
Problem: which greatest possible length can be used to measure exactly 15 meter 20 cm, 12 meter 20 cm and 14 meter 20 cm
Options: a. 20 cm, b. 25 cm, c. 24 cm, d. 55 cm, e. 30 cm
Output: a
Problem: dick and jane each saved $ 5,000 in 1989. in 1990 dick saved 10 percent more than in 1989, and together he and jane saved a total of $ 10,000. approximately what percent less did jane save in 1990 than in 1989 ?
Options: a. 10 %, b. 15 %, c. 20 %, d. 25 %, e. 30 %
Output: a
Problem: robert ate 7 chocolates, nickel ate 5 chocolates. how many more chocolates did robert ate than nickel ?
Options: a. a. 4, b. b. 7, c. c. 9, d. d. 5, e. e. 2
Output: e
Problem: a small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 600 feet. what is its area, in square feet ?
Options: ['a. 172,800', 'b. 19,600', 'c. 20,000', 'd. 20,400', 'e. 20,800']
Output: a
Problem: on dividing 109 by a number, the quotient is 9 and the remainder is 1. find the divisor
Options: a. 12, b. 14, c. 18, d. 22, e. 24
Output: a
Problem: find compound interest on $ 10000 at 15 % per annum for 2 years 4 months, compounded annually.
Options: a. 3886.25, b. 3286.25, c. 3186.25, d. 3386.25, e. 3586.25
Output: a
Problem: having received his weekly allowance, john spent 3 / 5 of his allowance at the arcade. the next day he spent one third of his remaining allowance at the toy store, and then spent his last $ 1.28 at the candy store. what is john ’ s weekly allowance ?
Options: a. $ 2.40, b. $ 3.00, c. $ 3.20, d. $ 3.60, e. $ 4.80
Output: e
Problem: what is the range of all the roots of | x ^ 2 - 4 | = x ?
Options: a. 4, b. 3, c. 2, d. 1, e. 0
Output: b
Problem: sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 60 ps per meter is ?
Options: a. 287, b. 369, c. 150, d. 279, e. 361
Output: c
Problem: the cost price of a radio is rs. 1680 and it was sold for rs. 1450, find the loss % ?
Options: a. 18, b. 13, c. 15, d. 18, e. 41
Output: b
Problem: when positive integer n is divided by positive integer p, the quotient is 18, with a remainder of 7. when n is divided by ( p + 3 ), the quotient is 15 and the remainder is 1. what is the value of n ?
Options: a. 151, b. 331, c. 511, d. 691, e. 205
Output: e
Problem: if a person walks at 25 km / hr instead of 10 km / hr, he would have walked 20 km more. the actual distance traveled by him is :
Options: a. 50 km, b. 56 km, c. 13.3 km, d. 70 km, e. 80 km
Output: c
Problem: a big container is 30 % full with water. if 45 liters of water is added, the container becomes 3 / 4 full. what is the capacity of the big container ?
Options: a. 36 liters, b. 40 liters, c. 45 liters, d. 54 liters, e. 100 liters
Output: e
Problem: 32 % of 1500 is
Options: a. 480, b. 440, c. 370, d. 415, e. 435
Output: a
Problem: find the smallest number that should be multiplied with 54000 to make it a perfect cube.
Options: ['a. 4', 'b. 5', 'c. 6', 'd. 3', 'e. 7']
Output: a
Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed. so, for example, 43334 and 516615 are both examples of palindromic integers. how many 6 - digit palindromic integers are both even and greater than 500000 ?
Options: a. 160, b. 200, c. 240, d. 300, e. 480
Output: b
Problem: the average of 7 numbers is 25. if each number be multiplied by 5. find the average of new set of numbers ?
Options: a. a. 110, b. b. 122, c. c. 120, d. d. 125, e. e. 145
Output: d
Problem: a 90 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other, how many centimeters will the shorter piece be ?
Options: a. 25, b. 20, c. 47, d. 36, e. 30
Output: a
Problem: there are cats got together and decided to kill the mice of 999964. each cat kills equal number of mice and each cat kills more number of mice than cats there were. then what are the number of cats ?
Options: a. 941,1009, b. 991,1001, c. 991,1009, d. 791,1009, e. 994,1006
Output: e
Problem: what is the remainder when you divide 2 ^ 200 - 1 by 7 ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: c
Problem: a courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. the total number of bricks required is :
Options: a. 16000, b. 18000, c. 20000, d. 22000, e. none of these
Output: c
Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs. 1008 ?
Options: a. 900, b. 2217, c. 2889, d. 2777, e. 2991
Output: a
Problem: if a sum of money doubles itself in 20 years at simple interest, the ratepercent per annum is
Options: a. 12, b. 12.5, c. 13, d. 5, e. 14
Output: d
Problem: what is the greatest integer m for which the number 50 ! / 10 ^ m is an integer ?
Options: a. 5, b. 8, c. 10, d. 11, e. 12
Output: e
Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. if a managers wage is $ 7.50 per hour, how much less than a manager does a chef earn each hour ?
Options: a. $ 1.40, b. $ 3, c. $ 3.40, d. $ 4.40, e. $ 5.40
Output: b
Problem: a person incurs a loss of 5 % be selling a watch for rs. 1140. at what price should the watch be sold to earn 5 % profit
Options: a. rs. 1200, b. rs. 1230, c. rs. 1260, d. rs. 1290, e. none of these
Output: c
Problem: a train is 400 meter long is running at a speed of 60 km / hour. in what time will it pass a signal post ?
Options: a. 28 seconds, b. 30 seconds, c. 40 seconds, d. 24 seconds, e. 18 seconds
Output: d
Problem: the average of first 10 natural numbers is ?
Options: a. 5.6, b. 5.5, c. 5.1, d. 5.8, e. 5.2
Output: b
Problem: if a / b = 4 / 5, then ( 5 a - 3 b. / ( 5 a + 3 b. = ?
Options: a. 4, b. 2 / 3, c. 3, d. 1, e. 1 / 7
Output: e
Problem: how long does a train 105 m long running at the speed of 68 km / hr takes to cross a bridge 90 m length ?
Options: a. 13.9 sec, b. 10.7 sec, c. 17.9 sec, d. 61.9 sec, e. 47.98 sec
Output: b
Problem: there are 6 people in the elevator. their average weight is 152 lbs. another person enters the elevator, and increases the average weight to 151 lbs. what is the weight of the 7 th person.
Options: a. 145, b. 168, c. 189, d. 190, e. 200
Output: a
Problem: ms. lopez deposits $ 150 in an account that pays 20 % interest, compounded semiannually. how much money will there be in the account at the end of one year ?
Options: a. $ 118.00, b. $ 120.00, c. $ 181.15, d. $ 122.00, e. $ 140.00
Output: c
Problem: a, b, c can complete a piece of work in 25, 5,10 days. working together, they complete the same work in how many days ?
Options: a. 2, b. 4 / 5, c. 50 / 17, d. 10, e. 24 / 7
Output: c
Problem: how much is 70 % of 40 is greater than 4 / 5 of 25 ?
Options: a. 22, b. 67, c. 88, d. 12, e. 8
Output: e
Problem: one man adds 3 liters of water to 12 liters of milk and another 4 liters of water to 10 liters of milk. what is the ratio of the strengths of milk in 2 mixtures ?
Options: a. 11: 21, b. 15: 33, c. 28: 25, d. 3: 2, e. 31: 33
Output: c
Problem: 27 is a perfect cube. when x is added to the prime factor of 27, the result is a prime number. what is x ?
Options: a. 1, b. 3, c. 5, d. 8, e. 11
Output: d
Problem: a part - time employee ’ s hourly wage was increased by 10 %. she decided to decrease the number of hours worked per week so that her total income did not change. by approximately what percent should the number of hours worked be decreased ?
Options: a. 9 %, b. 15 %, c. 25 %, d. 50 %, e. 100 %
Output: a
Problem: the price of stock decreased by 5 % last year and rose by 10 % this year. what is the net percentage change in the price of the stock ?
Options: a. 0.2 %, b. 0.8 %, c. 1.2 %, d. 1.6 %, e. 4.5 %
Output: e
Problem: the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 ≤ s ≤ 7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. in kilometers per hour, how much faster is the subway train moving after 7 seconds than it was moving after 5 seconds ?
Options: a. 4, b. 28, c. 15, d. 48, e. 63
Output: b
Problem: a soccer team played 280 games and won 65 percent of them. how many games did it win ?
Options: a. 182, b. 100, c. 104, d. 150, e. 124
Output: a
Problem: the difference between two numbers is 2395. when the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. the smaller number is
Options: a. 120, b. 239, c. 476, d. 523, e. 526
Output: c
Problem: right triangle xyzs the base of the prism in the figure above. if xy = xz = â ˆ š 9 and the height of the prism is 6, what is the volume of the prism ?
Options: ['a. 3', 'b. 27', 'c. 13', 'd. 12', 'e. 15']
Output: b
Problem: on dividing 22 by a number, the quotient is 7 and the remainder is 1. find the divisor.
Options: a. 1, b. 2, c. 3, d. 6, e. 7
Output: c
Problem: the smallest number which when diminished by 5, is divisible by 12, 16, 18, 21 and 28 is
Options: a. 1008, b. 1013, c. 1022, d. 1032, e. 1043
Output: b
Problem: the ratio between x and y is 7 / 5; x is multiplied by y and y is multiplied by x, what is the ratio between the new values of x and y ?
Options: a. 7 / 5, b. 5 / 7, c. 1, d. 49 / 25, e. it can not be determined
Output: c
Problem: when x is multiplied by 3, the result is 14 more than the result of subtracting x from 26. what is the value of x ?
Options: a. 10, b. - 2, c. 11, d. 13, e. 22
Output: a
Problem: raman, lakshmi and muthu enter into partnership. raman invests some money at the beginning, lakshmi invests double the amount after 6 months, and muthu invests thrice the amount after 8 months. if the annual gain be rs. 36000. lakshmi ' s share is ?
Options: a. 12000, b. 14000, c. 8000, d. 5000, e. 3000
Output: a
Problem: in a house a hall is 20 m long, 15 m wide and 5 m high. its interior has to be covered with mat. what will be the total expenditure if it costs rs. 10 per square m ?
Options: a. s. 9500, b. s. 50000, c. s. 57000, d. s. 60000, e. s. 62000
Output: a
Problem: how many multiples of 4 are less than 6540, and also multiples of 7 ?
Options: a. 234, b. 208, c. 340, d. 237, e. 267
Output: a
Problem: 31 of the scientists that attended a certain workshop were wolf prize laureates, and 18 of these 31 were also nobel prize laureates. of the scientists that attended that workshop and had not received the wolf prize, the number of scientists that had received the nobel prize was 3 greater than the number of scientists that had not received the nobel prize. if 50 of the scientists attended that workshop, how many of them were nobel prize laureates ?
Options: a. a. 11, b. b. 18, c. c. 24, d. d. 29, e. d. 36
Output: d
Problem: if 4 men can colour 48 m long cloth in 2 days, then 2 men can colour 36 m long cloth in
Options: a. 1 day, b. 2 days, c. 3 days, d. 4 days, e. 5 days
Output: c
Problem: how many integers between 324,700 and 458,600 have tens digit 1 and units digit 3 ?
Options: a. 10,300, b. 10,030, c. 1,353, d. 1,352, e. 1,339
Output: e
Problem: a library has an average of 540 visitors on sundays and 240 on other days. the average number of visitors per day in a month of 30 days beginning with a sunday is :
Options: a. 300, b. 276, c. 290, d. 285, e. none
Output: c
Problem: on the number line, the number p is twice as many units from - 2 as - 2 is from 5. if p is less than – 2, what is the value of p ?
Options: a. – 16, b. – 10, c. – 6, d. 10, e. 14
Output: a
Problem: when sold at a 70 % discount, a sweater nets the merchant a 40 % profit on the wholesale cost at which he initially purchased the item. by what % is the sweater marked up from wholesale at its normal retail price ?
Options: a. 20 %, b. 40 %, c. 50 %, d. 60 %, e. 78.58 %
Output: e
Problem: on a certain farm the ratio of horses to cows is 4: 1. if the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 13: 7. after the transaction, how many more horses than cows would the farm own ?
Options: a. 30, b. 60, c. 75, d. 90, e. 105
Output: a
Problem: the total age of a and b is 12 years more than the total age of b and c. c is how many year younger than a
Options: a. 11, b. 12, c. 13, d. 14, e. 15
Output: b
Problem: if the diameter of circle r is 40 % of the diameter of circle s, the area of circle r is what percent of the area of circle s ?
Options: a. 16 %, b. 18 %, c. 20 %, d. 22 %, e. 24 %
Output: a
Problem: if n is a positive integer and n ^ 2 is divisible by 72, then the largest positive integer v that must divide n is ?
Options: a. 6, b. 12, c. 24, d. 36, e. 48
Output: b
Problem: mary can do a piece of work in 26 days. rosy is 30 % more efficient than mary. the number of days taken by rosy to do the same piece of work is ?
Options: a. 22, b. 20, c. 24, d. 26, e. 30
Output: b
Problem: if 2 ^ 4, 3 ^ 3, and 13 ^ 3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w ?
Options: a. 198, b. 288, c. 363, d. 396, e. 468
Output: e
Problem: during a certain two - week period, 58 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. if no other movies were rented during that two - week period and there were a action movies rented, then how many comedies, in terms of a, were rented during that two - week period ?
Options: a. 10 a, b. 9 a, c. 8 2 / 3 a, d. 11 a, e. 12 a
Output: c
Problem: a student has to obtain 33 % of the total marks to pass. he got 175 marks and failed by 56 marks. the maximum marks are ?
Options: a. 450, b. 300, c. 500, d. 610, e. 700
Output: e
Problem: if s and t are both odd prime numbers ands < t, then how many different positive integer factors does 2 sthave ?
Options: a. 3, b. 4, c. 6, d. 8, e. 12
Output: d
Problem: the maximum number of student amoung them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Options: a. 91, b. 910, c. 1001, d. 1911, e. none of these
Output: a
Problem: a class of 20 students took a science test. 10 students had an average ( arithmetic mean ) score of 80. the other students had an average score of 60. what is the average score of the whole class ?
Options: a. 70, b. 60, c. 55, d. 65, e. 85
Output: a
Problem: if x is invested in a bank at a rate of simple interest of y % p. a. for two years, then the interest earned is 900. if x is invested at y % p. a., for two years when the interest is compounded annually, the interest is 922.50. what is the value of x ?
Options: a. 9000, b. 6000, c. 5000, d. 4000, e. 3000
Output: a
Problem: teas worth rs. 126 per kg and rs. 135 per kg are mixed with a third variety in the ratio 1: 1: 2. if the mixture is worth rs 153 per kg, the price of the third variety per kg will be ?
Options: a. rs. 147.50, b. rs. 785.50, c. rs. 175.50, d. rs. 258.50, e. none of these
Output: c
Problem: the number of boxes in a warehouse can be divided evenly into 7 equal shipments by boat or 28 equal shipments by truck. what is the smallest number of boxes that could be in the warehouse ?
Options: a. 28, b. 33, c. 54, d. 81, e. 162
Output: a
Problem: in what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way ?
Options: a. 5 sec, b. 4 sec, c. 3 sec, d. 6 sec, e. 1 sec
Output: a
Problem: the marks obtained by vijay and amith are in the ratio 8: 5 and those obtained by amith and abhishek in the ratio of 3: 2. the marks obtained by vijay and abhishek are in the ratio of ?
Options: a. 12: 5, b. 12: 1, c. 6: 5, d. 12: 2, e. 6: 3
Output: a
Problem: in the first 10 overs of a cricket game, the run rate was only 3.2. what should be the run rate in the remaining 22 overs to reach the target of 282 runs ?
Options: a. 6.25, b. 11.36, c. 7.4, d. 5, e. 6
Output: b
Problem: x varies inversely as square of y. given that y = 3 for x = 1. the value of x for y = 9 will be equal to :
Options: a. 3, b. 6, c. 1 / 9, d. 1 / 3, e. 9
Output: c
Problem: a train running at the speed of 90 km / hr crosses a pole in 5 seconds. find the length of the train.
Options: a. 150 meter, b. 145 meter, c. 140 meter, d. 125 meter, e. none of these
Output: d
Problem: find the mean proportional between 64 & 81 ?
Options: a. a. 59, b. b. 61, c. c. 63, d. d. 72, e. e. 67
Output: d
Problem: if ( a + b. = 12, ( b + c. = 9 and ( c + d. = 3, what is the value of ( a + d. ?
Options: a. 16., b. 8., c. 7., d. 6., e. - 2.
Output: d
Problem: if the area of a circle is 64 pi square feet, find its circumference.
Options: a. 65 pi feet, b. 43 pi feet, c. 42 pi feet, d. 18 pi feet, e. 16 pi feet
Output: e
Problem: what is the lowest positive integer that is divisible by each of the integers 1 through 8 inclusive ?
Options: a. 420, b. 840, c. 1260, d. 2520, e. 5020
Output: b
Problem: what is the perimeter of an isosceles right angled triangle. the area of the isosceles right angled triangle is 50.
Options: ['a. 25', 'b. 36', 'c. 25', 'd. 30', 'e. 34.14']
Output: e
Problem: here 10 programmers, type 10 lines within 10 minutes then 60 lines can type within 60 minutes. how many programmers are needed ?
Options: a. 16, b. 10, c. 6, d. 60, e. 50
Output: d
Problem: in a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. if pqrs = 1365, and if 1 < p < q < r < s, how many students in the class are strategy majors ?
Options: a. 3, b. 5, c. 8, d. 11, e. 13
Output: e
Problem: in a store, the total price for 25 shirts is $ 400 and the total price for 75 sweaters is $ 1500. by how much does the average ( arithmetic mean ) price of a sweater exceed that of a shirt in this store ?
Options: a. $ 1, b. $ 2, c. $ 3, d. $ 4, e. $ 5
Output: d
Problem: jamshid can paint a fence in 50 percent less time than taimour can when each works alone. when they work together, they can paint the fence in 6 hours. how long would it take taimour to paint the fence alone ?
Options: a. 6 hours, b. 8 hours, c. 18 hours, d. 24 hours, e. 32 hours
Output: c
Problem: if the least common multiple of two prime numbers x and y is 10, where x < y, then the value of 3 x + y is
Options: a. 7, b. 9, c. 11, d. 12, e. 21
Output: c
Problem: if x is invested in a bank at a rate of simple interest of y % p. a. for two years, then the interest earned is 800. if x is invested at y % p. a., for two years when the interest is compounded annually, the interest is 820. what is the value of x ?
Options: a. 8000, b. 6000, c. 5000, d. 4000, e. 3000
Output: a
Problem: i had 30 donuts when i left home this morning but only 9 when i came back home. what percentage of the donuts are missing ?
Options: a. 70, b. 65, c. 55, d. 75, e. 60
Output: a
Problem: a semicircle has a radius of 10. what is the approximate perimeter of the semicircle ?
Options: a. 27, b. 33, c. 39, d. 45, e. 51
Output: e
Problem: find the average of the first 19 natural numbers ?
Options: a. 8, b. 9, c. 10, d. 11, e. 12
Output: c
Problem: if the remainder is 11 when positive integer n is divided by 18, what is the remainder when n is divided by 9 ?
Options: a. 0, b. 2, c. 1, d. 3, e. 4
Output: b
Problem: in a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. the purple chips are worth more than the green chips, but less than the red chips. a certain number of chips are then selected from the bag. if the product of the point values of the selected chips is 88,000, how many purple chips were selected ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: b
Problem: if n = 16 × 10 ^ ( - p ) and − 4 < p < 4, how many different integer values of p will make n a perfect square ?
Options: a. 0, b. 2, c. 3, d. 5, e. 7
Output: c
Problem: in 10 years, a will be twice as old as b was 10 years ago. if a is now 9 years older than b the present age of b is
Options: a. 37, b. 38, c. 39, d. 40, e. 41
Output: c
Problem: a reduction of 15 % in the price of salt enables a lady to obtain 10 kgs more for rs. 100, find the original price per kg ?
Options: a. 2.8, b. 2.3, c. 1.8, d. 2.1, e. 2.9
Output: c
Problem: on the first of the year, james invested x dollars at proudstar bank in an account that yields 2.5 % in interest every quarter year. at the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. if james had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for james to have y dollars at the end of the year ?
Options: a. 22.04 %, b. 16.12 %, c. 8 %, d. 18.25 %, e. 10.5 %
Output: e
Problem: a train which has 250 m long, is running 40 kmph. in what time will it cross a person moving at 4 kmph in same direction ?
Options: a. 30 sec, b. 28 sec, c. 29 sec, d. 35 sec, e. 25 sec
Output: e
Problem: two tains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. if the length of each train be 120 metres, in what time ( in seconds ) will they cross each other travelling in opposite direction ?
Options: a. 12, b. 14, c. 16, d. 20, e. 18
Output: a
Problem: if x is a positive number and 2 the square root of x is equal to x / 2, then x =
Options: a. 1 / 16, b. 4, c. 1, d. 2, e. 8
Output: c
Problem: two trains of length 100 m and 200 m are 100.00001 m apart. they start moving towards each other on parallel tracks, at speeds 108 kmph and 72 kmph. in how much time will the trains cross each other ?
Options: a. 8, b. 7, c. 9, d. 2, e. 1
Output: a
Problem: in what ratio mental a at rs. 68 per kg be mixed with another metal at rs. 96 per kg so that cost of alloy ( mixture. is rs. 82 per kg ?
Options: a. 5: 8, b. 4: 7, c. 3: 7, d. 1: 1, e. 9: 8
Output: d
Problem: if a ( a + 2 ) = 48 and b ( b + 2 ) = 48, where a ≠ b, then a + b =
Options: a. - 10, b. - 9, c. - 5, d. - 4, e. - 2
Output: b
Problem: an article with cost price of 240 is sold at 20 % profit. what is the selling price ?
Options: a. 288, b. 200, c. 204, d. 207, e. 210
Output: a
Problem: how many seconds will it take for a car that is traveling at a constant rate of 120 miles per hour to travel a distance of 77 yards ? ( 1 mile = 1,160 yards )
Options: a. 1.25, b. 1.31, c. 1.58, d. 1.87, e. 2.3
Output: b
Problem: a box contains 100 balls, numbered from 1 to 100. if 3 balls are selected at random and with replacement from the box. if the 3 numbers on the balls selected contain two odd and one even. what is the probability r that the first ball picked up is odd numbered ?
Options: a. 0, b. 1 / 3, c. 1 / 2, d. 2 / 3, e. 1
Output: d
Problem: a store reported total sales of $ 460 million for february of this year. if the total sales for the same month last year was $ 320 million, approximately what was the percent increase in sales ?
Options: a. 2 %, b. 17 %, c. 44 %, d. 65 %, e. 83 %
Output: c
Problem: water boils at 212 ° f or 100 ° c and ice melts at 32 ° f or 0 ° c. if the temperature of a pot of water is 55 ° c, what is the temperature of the pot of water in ° f ?
Options: a. 116 ° f, b. 125 ° f, c. 131 ° f, d. 138 ° f, e. 145 ° f
Output: c
Problem: what distance will be covered by a bus moving at 126 kmph in 10 seconds ?
Options: a. 287, b. 600, c. 350, d. 276, e. 207
Output: c
Problem: the dimensions of a room are 10 m x 7 m x 5 m. there are 2 doors and 3 windows in the room. the dimensions of the doors are 1 m x 3 m. one window is of size 2 m x 1.5 m and the other 2 windows are of size 1 m x 1.5 m. the cost of painting the walls at rs. 3 per sq m is
Options: a. 2488, b. 378, c. 739, d. 474, e. 291
Output: d
Problem: o ( x ) represents the least odd integer greater than x, whereas o ( x ) represents the greatest odd integer less than x. likewise, e ( x ) represents the least even integer greater than x, whereas e ( x ) represents the greatest even integer less than x. according to these definitions, the value of o ( 5.3 ) + e ( – 6.7 ) + o ( – 7.3 ) + e ( 6.6 ) is :
Options: a. - 4, b. - 2, c. 0, d. 2, e. 4
Output: b
Problem: a quadratic function f ( x ) attains a maximum of 3 at x = 1. the value of the function at x = 0 is 1. what is the value of f ( x ) at x = 10 ?
Options: a. - 119, b. - 159, c. - 110, d. - 180, e. - 105
Output: b
Problem: in a certain company, a third of the workers do not have a retirement plan. 40 % of the workers who do not have a retirement plan are women, and 40 % of the workers who do have a retirement plan are men. if 120 of the workers of that company are men, how many of the workers are women ?
Options: a. 80, b. 95, c. 105, d. 120, e. 137
Output: e
Problem: the credit card and a global payment processing companies have been suffering losses for some time now. a well known company recently announced its quarterly results. according to the results, the revenue fell to $ 48.0 billion from $ 72.0 billion, a year ago. by what percent did the revenue fall ?
Options: a. 20.8, b. 30.4, c. 31.8, d. 32.5, e. 33.3
Output: e
Problem: a trader bought a car at 10 % discount on its original price. he sold it at a 80 % increase on the price he bought it. what percent of profit did he make on the original price ?
Options: a. 17 %, b. 62 %, c. 12 %, d. 19 %, e. 22 %
Output: b
Problem: sue ' s trail mix is 30 % nuts and 70 % dried fruit. jane ' s trail mix is 60 % nuts and 40 % chocolate chips. if the combined mixture of sue and jane ' s trails mix contains 40 % nuts, what percent of the combined mixture is dried fruit ?
Options: a. 16.7 %, b. 23.33 %, c. 25 %, d. 33.3 %, e. 46.7 %
Output: e
Problem: a man buys a cycle for rs. 2800 and sells it at a loss of 25 %. what is the selling price of the cycle ?
Options: a. s. 2090, b. s. 2160, c. s. 2100, d. s. 2202, e. s. 2092
Output: c
Problem: if 42.12 = k ( 14 + m / 50 ), where k and m are positive integers and m < 50, then what is the value of k + m ?
Options: a. 5, b. 7, c. 8, d. 9, e. 10
Output: a
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 40 percent of b, what is the value of m / x ?
Options: a. 2 / 5, b. 3 / 4, c. 4 / 5, d. 5 / 4, e. 3 / 5
Output: e
Problem: a, b and c rents a pasture for rs. 730. a put in 12 horses for 8 months, b 16 horses for 9 months and 18 horses for 6 months. how much should c pay ?
Options: a. 270, b. 199, c. 676, d. 156, e. 227
Output: e
Problem: the area of a triangle is with base 10 m and height 5 m ?
Options: a. 11, b. 25, c. 787, d. 122, e. 12
Output: b
Problem: a certain fraction is equivalent to 2 / 5. if the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1 / 4. what is the sum of the numerator and denominator of the original fraction ?
Options: a. 49, b. 35, c. 56, d. 26, e. 21
Output: c
Problem: how many diagonals does a polygon with 13 sides have, if one of its vertices does not connect to any diagonal ?
Options: a. 65, b. 62, c. 58, d. 54, e. 60
Output: d
Problem: a car averages 30 miles per hour for the first 5 hours of a trip and averages 42 miles per hour for each additional hour of travel time. if the average speed for the entire trip is 38 miles per hour, how many hours long is the trip ?
Options: a. 13, b. 14, c. 15, d. 16, e. 17
Output: c
Problem: in a certain country 1 / 5 of 8 = 4. assuming the same proportion, what would be the value of 1 / 4 of 16 ?
Options: a. 13, b. 12, c. 10, d. 16, e. 14
Output: c
Problem: in what ratio must a grocer mix two varieties of pulses costing rs. 15 and rs. 20 per kg respectively so as to get a mixture worth rs. 16.50 per kg ?
Options: a. 3: 7, b. 5: 7, c. 7: 3, d. 7: 5, e. none
Output: c
Problem: a can do a piece of work in 4 days. b can do it in 10 days. with the assistance of c they completed the work in 2 days. find in how many days can c alone do it ?
Options: a. 22 days, b. 20 / 3 days, c. 67 days, d. 17 / 6 days, e. 18 days
Output: b
Problem: a and b invests rs. 1500 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?
Options: a. 9: 5, b. 9: 8, c. 9: 2, d. 9: 9, e. 9: 16
Output: e
Problem: the length of a rectangular garden is 2 feet longer than 3 times its width. if the perimeter of the garden is 100 feet, find the length of the garden.
Options: ['a. 42', 'b. 38', 'c. 28', 'd. 57', 'e. 49']
Output: b
Problem: calculate 24 x 99
Options: a. 2673, b. 2763, c. 2637, d. 2736, e. 2376
Output: e
Problem: a fill pipe can fill 1 / 4 of cistern in 16 minutes. in how many minutes, it can fill 3 / 4 of the cistern ?
Options: a. 24 min, b. 30 min, c. 48 min, d. 26 min, e. 16 min
Output: c
Problem: a reduction of 40 % in the price of oil enables a house wife to obtain 8 kgs more for rs. 2400, what is the reduced price for kg ?
Options: a. rs. 120, b. rs. 125, c. rs. 130, d. rs. 135, e. rs. 140
Output: a
Problem: a trail mix company keeps costs down by employing the peanuts: cashews: almonds ratio of 10: 4: 1 in each bag of up to 75 total nuts. what is the maximum percentage by which the company could decrease its number of peanuts per bag and still have peanuts constitute more than half the total amount of nuts ?
Options: a. 40 %, b. 48 %, c. 49 %, d. 50 %, e. 58 %
Output: b
Problem: there is a 30 % chance that tigers will not win at all during the whole season. there is a 30 % chance that portugeese will not play at all in the whole season. what is the greatest possible probability that the tigers will win and portugeese will play during the season ?
Options: a. 55 %, b. 60 %, c. 70 %, d. 72 %, e. 80 %
Output: c
Problem: we bought a total of 90 books at the store. math books cost $ 4 and history books cost $ 5. the total price was $ 390. how many math books did we buy ?
Options: a. 57, b. 60, c. 63, d. 66, e. 69
Output: b
Problem: the sum of three consecutive even numbers is 60. find the middle number of the three ?
Options: a. 14, b. 60, c. 18, d. 70, e. 45
Output: b
Problem: a number when divided by 133 leaves 16 as a remainder. what will be the remainder if the number is divided by 50 ?
Options: a. 51, b. 56, c. 49, d. 17, e. 7
Output: c
Problem: the length of a rectangular floor is more than its breadth by 200 %. if rs. 240 is required to paint the floor at the rate of rs. 3 per sq m, then what would be the length of the floor ?
Options: a. 65, b. 44, c. 18, d. 15.49, e. 14
Output: d
Problem: a train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train ?
Options: a. 91.2 kmph, b. 61.9 kmph, c. 45.9 kmph, d. 61.2 kmph, e. 71.2 kmph
Output: d
Problem: john has 10 pairs of matched socks. if he loses 3 individual socks, what is the greatest number of pairs of matched socks he can have left ?
Options: a. 7, b. 8, c. 5, d. 4, e. 3
Output: b
Problem: a train 250 m long is running with a speed of 68 kmph. in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ?
Options: a. 6 sec., b. 7 sec., c. 9 sec., d. 15 sec., e. none
Output: d
Problem: a garrison of 400 men had a provision for 31 days. after 26 days 275 persons re - enforcement leave the garrison. find the number of days for which the remaining ration will be sufficient ?
Options: a. 16 days, b. 45 days, c. 10 days, d. 17 days, e. 18 days
Output: a
Problem: if the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is ?
Options: a. 33 %, b. 29 %, c. 25 %, d. 55 %, e. 39 %
Output: c
Problem: if two dice are thrown together, the probability of getting an even number on both dice is
Options: a. 1 / 4, b. 1 / 5, c. 1 / 6, d. 1 / 3, e. 1 / 2
Output: a
Problem: an alloy of copper and zinc contains copper and zinc in the ratio 8: 2. another alloy of copper and zinc contains copper and zinc in the ratio 4: 6. in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ?
Options: a. 5: 1, b. 4: 1, c. 3: 1, d. 6: 1, e. 8: 1
Output: c
Problem: the average monthly income of p and q is rs. 5050. the average monthly income of q and r is rs. 6250 and the average monthly income of p and r is rs. 5200. the monthly income of p + q + r is :
Options: a. 16100, b. 15700, c. 17500, d. 16000, e. 16500
Output: e
Problem: if 1 / ( x + 1 ) + 1 / ( x - 1 ) = 1 / ( x - 1 ), what is the value of x ?
Options: a. 2, b. - 2, c. 1, d. - 1, e. 5
Output: c
Problem: evaluate 100 ^ 2 - 99 ^ 2 + 98 ^ 2 - 97 ^ 2 + 96 ^ 2 - 95 ^ 2 +... + 2 ^ 2 - 1 ^ 2 = ?
Options: a. 3043, b. 5050, c. 5176, d. 9356, e. 4890
Output: b
Problem: what percent of 14 is 14 percent of 1 ?
Options: a. 0.001, b. 0.01, c. 0.1, d. 101, e. 1
Output: e
Problem: the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively. the number of years r in which the population would be doubled assuming there is no emigration or immigration is
Options: a. 20, b. r = 25, c. r = 30, d. r = 35, e. 40
Output: d
Problem: there are 15 balls in a jar. you take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1 / 3. how many blue balls were there in the beginning ?
Options: a. 12., b. 9., c. 8., d. 7., e. 6.
Output: d
Problem: the average ( arithmetic mean ) of 8 numbers is 43.1. if the sum of half of these numbers is 158.4, what is the average of the other half ?
Options: a. 12.8, b. 24.2, c. 46.6, d. 72.1, e. 96.8
Output: c
Problem: 12.5 * 6.2 * 8.8 = ?
Options: a. 352, b. 435, c. 224, d. 682, e. 742
Output: d
Problem: if 5 and 8 are factors of 60 n, what is the minimum value of n ?
Options: a. 2, b. 3, c. 7, d. 14, e. 56
Output: a
Problem: what is the probability of getting exactly 2 heads in a single throw of four fair coins ?
Options: a. 1 / 2, b. 3 / 4, c. 3 / 8, d. 3 / 16, e. 5 / 16
Output: c