loafeihong/math_mmlu_format huggingface dataset:
The contents of a certain box consist of 14 apples and 24 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples? Answer Choice: (A) 18 (B) 6 (C) 14 (D) 17 (E) 20
Answer: A
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 15% profit on the first article and 15% loss on second article. Find the net profit or loss percent? Answer Choice: (A) 200 (B) 150 (C) 282 (D) 202 (E) 270
Answer: B
A grocer buys apples for 72¢ per pound. If 10% of the apples goes bad and he still wants to make a 20% profit over his purchase price, what should be the sales price? Answer Choice: (A) 96¢ (B) 70¢ (C) 80¢ (D) 85¢ (E) 98¢
Answer: A
The difference between a number and its three-fourth is 100. what is 25% of that number? Answer Choice: (A) 120 (B) 100 (C) 125 (D) 150 (E) None of these
Answer: B
If each digit in the set of A = (1,2,3,4,5) is exactly used once, in how many ways can the digits be arranged such that the 2 and 5 are not adjacent? Answer Choice: (A) 6 (B) 24 (C) 72 (D) 96 (E) 112
Answer: C
A car covers a distance of 624 km in 6 Â½ hours. Find its speed? Answer Choice: (A) 104 kmph (B) 106 kmph (C) 108 kmph (D) 110 kmph (E) 120 kmph
Answer: A
Of the 12,210 employees of the anvil factory, 2/7 are journeymen. If half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen? Answer Choice: (A)  14.3% (B)  13.67% (C)  33% (D)  28.6% (E)  49.67%
Answer: B
A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 25 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell? Answer Choice: (A) 300. (B) 412. (C) 432. (D) 502. (E) 522.
Answer: A
A company has 50 employees, of which 22 studied accounting, 15 studied finance and 14 studied marketing. Eight employees have done just two courses and only one made ​​the three courses. How many employees have no training? Answer Choice: (A) A)0 (B) B)9 (C) C)10 (D) D)11 (E) E)26
Answer: B
A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent? Answer Choice: (A) 7 (B) 6 (C) 8 (D) 5 (E) 4
Answer: E
529 is a perfect square. When x is added to the prime factor of 529, the result will give a perfect cube.then what is x? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number? Answer Choice: (A) 867 (B) 864 (C) 385 (D) 946 (E) 549
Answer: B
Two numbers are in the ratio of 7:6. If 18 be subtracted from each, they are in the ratio of 6:5. Find the numbers? Answer Choice: (A) 5,9 (B) 7,9 (C) 4,7 (D) 7,6 (E) 6,9
Answer: D
A person bought apples at 10 for $1 and sold them at 4 for $1. Find his gain or loss percent? Answer Choice: (A) 150% (B) -100% (C) 100% (D) -50% (E) 50%
Answer: A
If n ≠ 0, which of the following must be greater than n?
I. 6n
II. n^2
III. 2 - n Answer Choice: (A) I only (B) None (C) I and II only (D) II and III only (E) II only
Answer: E
Line Q has the equation 5y – 3x = 75. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.) Answer Choice: (A) 48 (B) 52 (C) 56 (D) 60 (E) 64
Answer: C
In a certain match all the teams were to play with each other. If there are 12 teams, how many matches will have to be played? Answer Choice: (A) 40 (B) 45 (C) 66 (D) 90 (E) None of the above
Answer: C
A question paper has 2parts, A & B, each containing 10 questions. If a student has to choose 5 from part A &10 from part B, in how many ways can he choose the questions? Answer Choice: (A) 100 (B) 120 (C) 125 (D) 350 (E) 252
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Answer Choice: (A) 100 (B) 120 (C) 130 (D) 150 (E) 160`
Answer: D
If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 7
Answer: B
Find the missing figures :
?% of 30 = 2.125 Answer Choice: (A) 8.5 (B) 6.5 (C) 8.07 (D) 7.08 (E) 4.05
Answer: D
A can run 3 Kms in 3 min 18 sec and B can run same distance in 3 min 40 sec, then by how much distance A can beat B? Answer Choice: (A) 300 m (B) 220 m (C) 280 m (D) 195 m (E) 295 m
Answer: A
In how many ways can the letters of word CAREER be arranged such that all the vowels as well as all the Consonants always appear together? Answer Choice: (A) 3!*3!*2! (B) 5!*4! (C) 5!*5! (D) 5!*4!*2! (E) 6!*4!
Answer: A
A major airplane manufacturer announced the sale of 150 small airliners at $125 million each, 75 medium sized airliners at $175 million each, and 60 large airliners at $220 million each. What percentage of the company's income came from large and medium airliners? Answer Choice: (A) 29% (B) 41% (C) 58% (D) 69% (E) 70%
Answer: C
The length of each side of an equilateral triangle having an area of 4√3 cm2 is? Answer Choice: (A) 1/8 (B) 1/9 (C) 1/5 (D) 1/23 (E) 1/2
Answer: C
A tank is filled by 3 pipes A,B,C in 7 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ? Answer Choice: (A) 25hr (B) 35hr (C) 40hr (D) 49hr (E) 50hr
Answer: D
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle? Answer Choice: (A) 1 (B) 3 (C) 4 (D) 2 (E) 6
Answer: D
In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 36, what will be his grade at the end of the third year? Answer Choice: (A) 44 (B) 56 (C) 62 (D) 75 (E) 61
Answer: E
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons? Answer Choice: (A) 165 ways (B) 176 ways (C) 197 ways (D) 160 ways (E) 162 ways
Answer: A
A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars? Answer Choice: (A) 0 (B) 1/9 (C) 2/9 (D) 1/3 (E) 1
Answer: C
In what ratio must tea at Rs.60 per Kg be mixed with tea at Rs.70 per Kg so that the mixture must be worth Rs.63 per Kg? Answer Choice: (A) 3 : 1 (B) 3 : 2 (C) 4 : 3 (D) 7 : 3 (E) None
Answer: D
Mr. Hernandez, who was a resident of State X for only 9 months last year, had a taxable income of $42,500 for the year. If the state tax rate were 4 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year? Answer Choice: (A)  $900 (B)  $1275 (C)  $1200 (D)  $1300 (E)  $1060
Answer: B
A train running at the speed of 120 km/hr crosses a pole in 12 seconds. What is the length of the train? Answer Choice: (A) 200 m (B) 250 m (C) 300 m (D) 350 m (E) 400 m
Answer: E
A and B started a partnership business investing some amount in the ratio of 6 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C? Answer Choice: (A) 4 : 9 : 8 (B) 5 : 7 : 4 (C) 12 : 10 : 5 (D) 7 : 9: 4 (E) 5 : 4 : 8
Answer: C
If m is the product of all integers from 1 to 40, inclusive, what is the greatest integer p for which 10^p is a factor of m? Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: C
7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day? Answer Choice: (A) 340 (B) 450 (C) 680 (D) 650 (E) 700
Answer: D
A train 55 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 3 (E) 5
Answer: D
What is the greatest possible length which can be used to measure exactly the lengths 10 m 50 cm, 14 m 55 cm and 50 cm? Answer Choice: (A) 20 cm (B) 24 cm (C) 30 cm (D) 10 cm (E) 5 cm
Answer: E
Which of the following is a prime number Answer Choice: (A) 18 (B) 20 (C) 19 (D) 16 (E) 24
Answer: C
A right circular cylinder has a height of 23 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid? Answer Choice: (A) 500(π – 3) (B) 575(π – 1.5) (C) 500(π – 2) (D) 500(π – 1.5) (E) 500(π – 1)
Answer: B
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 155 per Kg , the price of the third variety per Kg will be? Answer Choice: (A) Rs. 147.50 (B) Rs. 785.50 (C) Rs. 177.50 (D) Rs. 258.50 (E) None of these
Answer: C
A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 7% p.a for 2 years. Find his gain in the transaction per year. Answer Choice: (A) 167.5 (B) 150 (C) 225 (D) 112.5 (E) 212.5
Answer: B
$9,000 is deposited in a savings account that pays 14% annual interest compounded semiannually. To the nearest dollar, how much is in the account at the end of the year? Answer Choice: (A) $11304.12 (B) $12304.54 (C) $11604.14 (D) $10304.10 (E) $9304.41
Answer: D
A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included ? Answer Choice: (A) 223 (B) 186 (C) 287 (D) 167 (E) 171
Answer: B
A and B can do a piece of work in 9 days. With the help of C they finish the work in 6 days. C alone can do that piece of work in? Answer Choice: (A) 33 (B) 878 (C) 18 (D) 88 (E) 11
Answer: C
Pipe A can fill a pool in 12 hours at a constant rate. If Pipe A does the job for 8 hours and Pipe B does the rest of the job, which works at 1/3 constant rate of Pipe A. How long will it take for Pipe B alone to do the rest of the job? Answer Choice: (A) 12hrs (B) 6hrs (C) 8hrs (D) 10hrs (E) 24hrs
Answer: A
If (x^2 + 1)y=6, which of the following is not a possible value for y? Answer Choice: (A) 3/2 (B) 2 (C) 1/3 (D) 2/13 (E) 13/2
Answer: E
If logx (base 27) +logx (base 9) +logx (base3) =11 then find the value of x? Answer Choice: (A) 3^4 (B) 3^3 (C) 3^5 (D) 3^6 (E) 3^9
Answer: D
What is the greatest possible length which can be used to measure exactly the lengths 10 m, 14 m 50 cm and 20 m 40cm cm? Answer Choice: (A) 20 cm (B) 10 cm (C) 25cm (D) 50 cm (E) 28 cm
Answer: B
If a, x, y, and z are positive integers and (x)×(y)×(z)=a^2, which of the following could be the values of x, y, and z? Answer Choice: (A) 3, 16, 25 (B) 9, 25, 24 (C) 2, 36, 32 (D) 2, 9, 16 (E) 8, 16, 36
Answer: C
If the radius of a circle is decreased 20%, what happens to the area? Answer Choice: (A) 10% decrease (B) 20% decrease (C) 36% decrease (D) 40% decrease (E) 50% decrease
Answer: C
Two numbers are respectively 12% and 60% more than a third number. The percentage that is first of the second is? Answer Choice: (A) 50% (B) 60% (C) 70% (D) 80% (E) 90%
Answer: C
Tom read a book containing 480 pages by reading the same number of pages each day. If he would have finished the book 5 days earlier by reading 16 pages a day more, how many days did Tom spend reading the book? Answer Choice: (A) 10 (B) 12 (C) 15 (D) 16 (E) 18
Answer: C
Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit? Answer Choice: (A) Rs. 8828 (B) Rs. 8821 (C) Rs. 8818 (D) Rs. 8819 (E) Rs. 8820
Answer: E
If the sides of a triangle are 52 cm, 48 cm and 20 cm, what is its area? Answer Choice: (A) 450 cm^2 (B) 470 cm^2 (C) 480 cm^2 (D) 420 cm^2 (E) 460 cm^2
Answer: C
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly two bulbs are good? Answer Choice: (A) 20/21 (B) 20/63 (C) 10/21 (D) 10/23 (E) 10/31
Answer: C
Balls of equal size are arranged in rows to form an equilateral triangle. the top most row consists of one ball, the 2nd row of two balls and so on. If 424 balls are added, then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did. How many balls made up the triangle? Answer Choice: (A) 1176 (B) 2209 (C) 2878 (D) 1210 (E) 1560
Answer: A
If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 6-letter code words? Answer Choice: (A) 1 to 5 (B) 3 to 2 (C) 2 to 1 (D) 5 to 1 (E) 6 to 1
Answer: A
The expression xy+x is odd when the x and y are integers. Which of the following expressions must be even? Answer Choice: (A) x (B) y (C) x + y (D) xy - x (E) x + y^2
Answer: B
The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person Answer Choice: (A) 11 (B) 66 (C) 28 (D) 30 (E) 99
Answer: D
At an election 2 candidates are participated and a candidate got 45% of votes and defeated by 9000. and 83 votes are invalid. Find the total polled votes? Answer Choice: (A) 84512 (B) 78452 (C) 65893 (D) 90083 (E) 74502
Answer: D
If a rectangular billboard has an area of 91 square feet and a perimeter of 40 feet, what is the length of each of the shorter sides? Answer Choice: (A) 4 (B) 7 (C) 8 (D) 13 (E) 26
Answer: B
A train is 485 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length Answer Choice: (A) 20 seconds (B) 30 seconds (C) 40 seconds (D) 50 seconds (E) None of these
Answer: D
Pants, Shorts and Shirts in a dresser are in the ratio of 7: 7: 10. If there are 14 Pants, the number of Shirts in the dresser is: Answer Choice: (A) 14 (B) 7 (C) 20 (D) 70 (E) 35
Answer: C
At a certain bowling alley, it costs $0.50 to rent bowling shoes for the day and $1.75 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day? Answer Choice: (A)  7 (B)  8 (C)  9 (D)  10 (E)  11
Answer: A
Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 72% percent carbonated water, what percent of the volume of the mixture is P? Answer Choice: (A) 48% (B) 54% (C) 60% (D) 64% (E) 68%
Answer: E
If x and q are integers and 2x–q= 11, then 4x+ q CANNOT be Answer Choice: (A)  –5 (B)  1 (C)  13 (D)  17 (E)  551
Answer: D
A corporation that had $10 billion in profits for the year paid out $500 million in employee benefits. Approximately what percent of the profits were the employee benefits? (Note: 1 billion = 10^9) Answer Choice: (A) 50% (B) 20% (C) 5% (D) 2% (E) 0.2%
Answer: C
The captain of a cricket team of 11 members is 30 years old and the wicket keeper is 5 years younger. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team? Answer Choice: (A) 20 (B) 23 (C) 32 (D) 19 (E) 29
Answer: B
If $5,000 is invested in an account at a simple annual rate of r percent, the interest is $250. When $18,000 is invested at the same interest rate, what is the interest from the investment? Answer Choice: (A) $700 (B) $750 (C) $800 (D) $850 (E) $900
Answer: E
If the range of the set of numbers {140, 80, 135, 110, 175, 145, x, 123, 136} is 115, which of the following could be x? Answer Choice: (A) 40 (B) 45 (C) 50 (D) 55 (E) 60
Answer: E
Sam ranked 9th from the top and 38th from the bottom in a class. How many students are there in the class ? Answer Choice: (A) 22 (B) 88 (C) 46 (D) 299 (E) 77
Answer: C
A sum is invested for 3 years compounded at 5%, 10% and 20 % respectively. In three years, if the sum amounts to Rs. 1386, then find the sum. Answer Choice: (A) Rs. 1500 (B) Rs. 1000 (C) Rs. 1200 (D) Rs. 1400 (E) Rs. 1600
Answer: B
If $935 are divided between worker A and worker B in the ratio 5:12,what is the share that worker B will get? Answer Choice: (A) 62.15% (B) 64.26% (C) 66.37% (D) 68.48% (E) 70.59%
Answer: E
The distance between West-Town to East-Town is 16 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 5 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town? Answer Choice: (A) 3. (B) 7. (C) 10. (D) 12. (E) 16.
Answer: E
At what rate percent of simple interest will a sum of money double itself in 22 years? Answer Choice: (A) 6.54 % (B) 4.54 % (C) 8 .2 % (D) 4.94 % (E) 5.54 %
Answer: B
A cylindrical barrel is filled with Kerosene at a rate of 33 cubic meters per hour, the level of kerosene in the barrel rises at a rate of 0.11 meters per hour. Which of the following best approximates the radius of the barrel in meters? Answer Choice: (A) √105/11 (B) √102/11 (C) 12 (D) 52 (E) 10
Answer: A
Ten men and ten women have to sit around a circular table so that no 2 women are together. In how many ways can that be done? Answer Choice: (A) 5!*6! (B) 6!*6! (C) 5!*7! (D) 9!*10! (E) 10!*12!
Answer: D
45 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4m3 , then the rise in the water level in the tank will be: Answer Choice: (A) 20 cm (B) 25 cm (C) 35 cm (D) 50 cm (E) None of these
Answer: E
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? Answer Choice: (A) 85 (B) 36 (C) 72 (D) 90 (E) 108
Answer: A
If 12 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 10
II. 15
III. 25 Answer Choice: (A) I only (B) II only (C) I and II only (D) II and III only (E) I, II, and III
Answer: E
Find the odd man out. 9,18,23,36,99 Answer Choice: (A) 9 (B) 18 (C) 23 (D) 36 (E) 99
Answer: C
A circle in the coordinate plane passes through points (-3, -2) and (1, 3). What is the smallest possible area of that circle? Answer Choice: (A) 10.5π (B) 26π (C) 262√π (D) 52π (E) 64π
Answer: A
A shop sells chocolates at re.1 each. U can exchange 3 wrappers for 1 chocolate. If u have Rs.100, how many chocolates can you totally get? Answer Choice: (A) 147 (B) 148 (C) 149 (D) 150 (E) 141
Answer: C
A and B complete a work in 9 days. A alone can do it in 18 days. If both together can do the work in how many days? Answer Choice: (A) 6 days (B) 8 days (C) 5 days (D) 7 days (E) 15 days
Answer: A
If selling price of an article is Rs. 250, profit percentage is 25%. Find the ratio of the cost price and the selling price Answer Choice: (A) 5:3 (B) 3:5 (C) 4:5 (D) 5:4 (E) 6:4
Answer: C
Calculate the % profit or loss, if the cost price of 9 apples is equal to the selling price of 11 apples. Answer Choice: (A) 29.1% (B) 7.2% (C) 14.2% (D) 12.2% (E) 22.2%
Answer: E
A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in? Answer Choice: (A) 11 hours (B) 76 hours (C) 18 hours (D) 12 hours (E) 16 hours
Answer: B
In a question on division with zero remainder, a candidate took 22 as divisor instead of 11. The quotient obtained by him was 35. The correct quotient is? Answer Choice: (A) A)70 (B) B)24 (C) C)28 (D) D)29 (E) E)30
Answer: A
A larger cube has 125 cubic inch as a volume and in the cube there are 125 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 125 smaller cubes and the surface area of the larger cube, in square inch? Answer Choice: (A) 54 (B) 600 (C) 81 (D) 108 (E) 120
Answer: B
Of the 130 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year? Answer Choice: (A) 20 (B) 30 (C) 50 (D) 80 (E) 100
Answer: B
Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's.
What is B's share Answer Choice: (A) Rs 10 (B) Rs 20 (C) Rs 24 (D) Rs 28 (E) None of these
Answer: B
What is the sum of odd integers from 35 to 75, inclusive? Answer Choice: (A) 1,560 (B) 1,500 (C) 1,240 (D) 1,155 (E) 1,100
Answer: D
P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings? Answer Choice: (A) 1:5 (B) 1:8 (C) 1:2 (D) 1:1 (E) 1:6
Answer: D
In Albert house,One tap, working alone at its maximum constant rate, can fill a certain tank in 250 seconds. A second tap, working alone at its maximum constant rate, can fill the same tank in 254 seconds. If both taps work together at their respective maximum constant rates, the time it will take to fill the tank is closest to Answer Choice: (A) 126 seconds (B) 150 seconds (C) 177 seconds (D) 200 seconds (E) 250 seconds
Answer: A
X, Y and Z, each working alone can complete a job in 2, 4 and 6 days respectively. If all three of them work together to complete a job and earn $2000, what will be Z's share of the earnings? Answer Choice: (A) $1080.90 (B) $1000.90 (C) $1070.90 (D) $1050.90 (E) $1090.90
Answer: E
A is a working partner and B is a sleeping partner in the business. A puts in Rs.20000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is? Answer Choice: (A) 1978 (B) 2707 (C) 7728 (D) 4800 (E) 7291
Answer: D
If 5x + y = 6 and 2y − 4x = 7, then what is the value of x + 3y? Answer Choice: (A) 1/7 (B) 13 (C) 15 (D) 52/7 (E) 60/7
Answer: B
The ratio of A and B is 5:3.After 2 years their ratio is 3:2.What is the age of B? Answer Choice: (A) 5 (B) 3 (C) 6 (D) 7 (E) 8
Answer: C
A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles? Answer Choice: (A) 32 minutes (B) 28 minutes (C) 29 minutes (D) 30 minutes (E) 31 minutes
Answer: A
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good. Answer Choice: (A) 20/31 (B) 20/63 (C) 5/31 (D) 6/31 (E) 26/31
Answer: B
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is? Answer Choice: (A) 2 8 ½ kmph (B) 8 2 ½ kmph (C) 2 9 ½ kmph (D) 2 2 ½ kmph (E) 3 2 ½ kmph
Answer: D
How many integers between 324,700 and 418,600 have tens digit 1 and units digit 3? Answer Choice: (A) 652 (B) 827 (C) 939 (D) 1045 (E) 1136
Answer: C