loafeihong/math_mmlu_format huggingface dataset:
A certain car dealership offers its newest model in ten exterior and ten interior colors. If the seven interior colors are identical to the seven exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible? Answer Choice: (A) 45 (B) 81 (C) 90 (D) 10!/2! (E) 10!
Answer: A
In a group of 25 factory workers, 17 have brown eyes. Six of the women do not have brown eyes. How many of the 11 men have brown eyes. Answer Choice: (A) 10 (B) 9 (C) 8 (D) 7 (E) 4
Answer: B
The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is? Answer Choice: (A) 8 (B) 10 (C) 16 (D) 18 (E) 22
Answer: C
If Q is a positive integer, which of the following must be odd? Answer Choice: (A) Q+1 (B) Q^2+Q (C) Q^2+Q+1 (D) x^2−1 (E) 3x^2−3
Answer: C
Set S consists of all prime numbers less than 10. If two numbers are chosen from et S at random, what is the probability that the product of these numbers will be greater than the product of the numbers which were not chosen? Answer Choice: (A) 1/3 (B) 2/3 (C) 1/2 (D) 7/10 (E) 4/5
Answer: C
A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 36 pints of Perfect Pink paint? Answer Choice: (A) 9 (B) 16 (C) 19 (D) 25 1/3 (E) 28 1/2
Answer: C
How many combinations of three letters taken from letters (b, b, c, c, d,d) are possible? Answer Choice: (A) 12 (B) 13 (C) 5 (D) 6 (E) 7
Answer: E
There are 6 more women than there are men on a local co-ed softball team. If there are a total of 16 players on the team, what is the ratio of men to women? Answer Choice: (A) 10/16 (B) 6/16 (C) 4/16 (D) 6/10 (E) 5/11
Answer: E
A quantity of tea is sold at Rs. 5.75 per kilogram. The total gain by selling the tea at this rate is Rs. 60. Find the quantity of tea being sold if a profit of 15% is made on the deal. Answer Choice: (A) 80kg. (B) 90kg. (C) 70kg. (D) 60kg. (E) 50kg.
Answer: A
Last year, sales at Company Dopler were 10% greater in February than in January, 5% less in March than in Feb, 5% greater in April than in March, 10% less in May than in April, and 10% greater in June than in May. In which month were sales closest to Jan? Answer Choice: (A) Feb (B) April (C) Mar (D) May (E) June
Answer: C
A watch passes through three hands and each person gains 25%. If the third person sells it for $375, what did the first person pay for it? Answer Choice: (A) $184 (B) $188 (C) $192 (D) $196 (E) $200
Answer: C
A train 280 m long, running with a speed of 63 km/hr will pass a tree in? Answer Choice: (A) 17 sec (B) 16 sec (C) 18 sec (D) 14 sec (E) 12 sec
Answer: B
What approximate value should come in the place of question mark(?) in the following equation?
98.98 ÷ 11.03 + 7.014 × 15.99 = (?)2 Answer Choice: (A) 131 (B) 144 (C) 12 (D) 121 (E) 11
Answer: E
The value of a machine depreciates at 24% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made? Answer Choice: (A) $250640 (B) $430640 (C) $120640 (D) $110640 (E) $150640
Answer: D
You and your friend are playing Russian Roulette. Of course, the gun is filled with fake pellets. Three bullets are placed inside three consecutive chambers. The cylinder is then spun once. It won't be spun again.
As per the rules, the gun will be passed from one person to other until a pellet is shot. If you want to win this game, would you go first or second ? Answer Choice: (A) 1st (B) 3rd (C) 4th (D) 2nd (E) 5th
Answer: D
If the first half of the English alphabet is reversed and then next portion of English alphabet is reversed so as 'A' takes the portion of 'M' and 'N' takes the portion of 'z' then which letter will be 6th to the left of 17th letter to the right of 7th leter from the left? Answer Choice: (A) Y (B) V (C) J (D) G (E) K
Answer: B
Sum of the numbers from 1 to 45 is Answer Choice: (A) 1789 (B) 1035 (C) 1025 (D) 1009 (E) None of these
Answer: B
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 60 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad? Answer Choice: (A) 16 (B) 36 (C) 20 (D) 24 (E) 30
Answer: B
Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/5. Find the probability that both of them are selected. Answer Choice: (A) 2/69 (B) 2/60 (C) 2/63 (D) 2/35 (E) 2/38
Answer: D
In a division, a student took 42 as divisor instead of 36. his answer was 24 . The correct answer is- Answer Choice: (A) 42 (B) 32 (C) 48 (D) 28 (E) 38
Answer: E
An woman swims downstream 81 km and upstream 36 km taking 9 hours each time; what is the speed of the current? Answer Choice: (A) 0.5 (B) 1.5 (C) 2.5 (D) 3.5 (E) 4.5
Answer: C
A train speeds past a pole in 15 sec and a platform 140 m long in 25 sec, its length is? Answer Choice: (A) 50 m (B) 150 m (C) 210 m (D) 300 m (E) None of these
Answer: C
The average of six number is 3.99. The average of two of them is 3.4, while the average of the other two is 3.85. what is the average of the remaining two number ? Answer Choice: (A) 4.5 (B) 4.6 (C) 4.72 (D) 4.8 (E) None of these
Answer: C
50 men can complete a work in 65 days.Five days after started the work, 20 men left the group. In how many days can the remaining work be completed? Answer Choice: (A) 277 (B) 268 (C) 260 (D) 276 (E) 100
Answer: E
In how many ways can an answer key for a quiz be written if the quiz contains 3 true-false questions followed by 3 multiple-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same? Answer Choice: (A) 164 (B) 224 (C) 280 (D) 384 (E) 476
Answer: D
How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336 Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: A
Merry and Mich play a card game. In the beginning of the game they have an equal number of cards. Each player, at her turn, gives the other a third of her cards. Mich plays first, giving Merry a third of her cards. Merry plays next, and Mich follows. Then the game ends. Merry ended up with 14 more cards than Mich. How many cards did each player have originally? Answer Choice: (A) 60 (B) 58 (C) 56 (D) 55 (E) 54
Answer: E
On dividing 172 by a number, the quotient is 10 and the remainder is 2. Find the divisor. Answer Choice: (A) 9 (B) 11 (C) 13 (D) 15 (E) 17
Answer: E
10^190 - 10^9 = Which of the following best approximates the value of the expression above? Answer Choice: (A) 10^170 (B) 10^180 (C) 10^160 (D) 10^181 (E) 10^190
Answer: E
If 5 cars park in 5 parking place.there are 3 red colour car,1 blue and 1 green then how many ways we can arrange the cars differently Answer Choice: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50
Answer: B
A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes
7 : 9. How many litres of liquid A was contained by the can initially? Answer Choice: (A) 10 (B) 20 (C) 21 (D) 25 (E) 26
Answer: C
40 people attend a party. 11 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 11 (E) 9
Answer: D
The length of a rectangle is 2 cm more than the width of the rectangle. The perimeter of the rectangle is 20 cm. Find the length and the width of the rectangle. Answer Choice: (A) l=2,w=9 (B) l=5,w=8 (C) l=6,w=4 (D) l=1,w=7 (E) l=2,w=3
Answer: C
If f(x)= 5x^2- 2x+6 and g(y)= 3y-7, then g(f(x)) Answer Choice: (A) 82x^2-9x+38 (B) 15x^2-6x+11 (C) 58x^2-4x+58 (D) 87x^2-5x+96 (E) 98x^2-7x+94
Answer: B
Manoj borrowed Rs.3450 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu? Answer Choice: (A) Rs.5625 (B) Rs.5355 (C) Rs.5365 (D) Rs.5345 (E) Rs.5395
Answer: B
The average age of a group of person going for picnic is 16 years. Twenty new persons with an average age of 15 years join the group on the spot due to which their average becomes 15.5 years. Find the number of persons initially going for picnic. Answer Choice: (A) 20 (B) 18 (C) 22 (D) 19 (E) None of the above
Answer: A
I spend 40 hours a week (5 days) at work and like to organize my time so that I spend an equal number of hours on the two tasks I currently have. Currently, I am spending 5 hours a day on Task 1 and 3 on Task 2. How many hours a week less do I need to spend on Task 1 in order to evenly distribute my time? Answer Choice: (A) 5 (B) 3 (C) 7 (D) 1 (E) 6
Answer: A
The total of the ages of Mahesh, Suresh, Ramesh is 129 years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Mahesh? Answer Choice: (A) 32years (B) 54years (C) 42years (D) 35years (E) 30years
Answer: B
If the radius of a cylinder is doubled and height 5 times, what is the new volume of the cylinder divided by the old one? Answer Choice: (A) 8. (B) 2. (C) 6. (D) 20. (E) 10.
Answer: D
The price of a T.V. set worth Rs. 40000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be? Answer Choice: (A) 22678 (B) 26699 (C) 26788 (D) 19000 (E) 39000
Answer: E
How many four-digit numbers are there such that all four digits are different and the first digit is not zero? Answer Choice: (A) 1504 (B) 2648 (C) 3720 (D) 5832 (E) 8105
Answer: D
The radius of a wheel is 16.8 cm. What is the distance covered by the wheel in making 300 resolutions? Answer Choice: (A) 754 m (B) 316.512 m (C) 311.512 m (D) 311.518 m (E) 313.512 m
Answer: B
A train speeds past a pole in 15 seconds and a platform 120 meters long in 25 seconds. What is the length of the train (in meters)? Answer Choice: (A) 100 m (B) 140 m (C) 130 m (D) 180 m (E) 170 m
Answer: D
A can be divided by 11 with no remainder. Which of the following expressions could be divided by 11 leaving a remainder of 1? Answer Choice: (A) A-20 (B) A-12 (C) A-9 (D) A-10 (E) A-13
Answer: D
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.40 per glass on the first day, what was the price per glass on the second day? Answer Choice: (A) $0.15 (B) $0.26 (C) $0.30 (D) $0.40 (E) $0.45
Answer: B
Here is an ancient problem from Bhaskaracharya's Lilavati:
A beautiful maiden, with beaming eyes, asks me which is the number that. multipied by 3 then increased by thre-fourths of the product. divided by 7 diminished by 52, the square root found,addition of 8, division by 10 gives the number 2?
Well, it sounds complicated, doesn't it? No, not if you know how to go about it. Answer Choice: (A) 16 (B) 22 (C) 28 (D) 29 (E) 34
Answer: C
The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 612. What is the banker's discount? Answer Choice: (A) 1240 (B) 1120 (C) 1190 (D) 1462 (E) None of these
Answer: D
Two employees X and Y are paid a total of Rs. 500 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Answer Choice: (A) s.227 (B) s.287 (C) s.297 (D) s.300 (E) s.380
Answer: A
800 is increased by 110%. Find the final number. Answer Choice: (A) 1200 (B) 1210 (C) 1180 (D) 1190 (E) 1680
Answer: E
What is the sixth digit to the right of the decimal point, in the decimal expansion of (3/10)^6? Answer Choice: (A) 	7 (B) 	9 (C) 	3 (D) 	6 (E) 	5
Answer: B
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is? Answer Choice: (A) 2288 (B) 2778 (C) 8297 (D) 8112 (E) 3241
Answer: D
A can do a work in 15 days and B in 20 days. If they work on it together, then the number of days the whole work can be finished is: Answer Choice: (A) 7/40 (B) 7/60 (C) 40/7 (D) 60/7 (E) 50/7
Answer: D
P, Q and R have $9000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R? Answer Choice: (A) 2400 (B) 3600 (C) 3998 (D) 2539 (E) 1930
Answer: B
Ten participants are participating in a competition. In how many ways can the first three prizes be won? Answer Choice: (A) 920 (B) 680 (C) 820 (D) 720 (E) 620
Answer: D
Awordis defined as a sequence of three dots arranged in a row. Each dot is colored one of the three colours. How many distinct words can be formed? Answer Choice: (A) 23 (B) 25 (C) 26 (D) 28 (E) 27
Answer: D
Amy's sells kale at x dollar per pound for the first 20 pounds and .8x for every subsequent pound. Lucia's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 20 for which Amy's becomes an equal or better deal? Answer Choice: (A) 26 (B) 25 (C) 24 (D) 27 (E) 28
Answer: A
Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 12% 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 8%. If Ron imported a $14,000 imported car and ended up paying $1440 in taxes, what is the first tier's price level? Answer Choice: (A) $1600 (B) $6000 (C) $6050 (D) $7050 (E) $8000
Answer: E
A circle circumscribes three unit circles that touch each other. What is the area of the larger circle? Note that p is the ratio of the circumference to the diameter of a circle ( 3.14159265). Answer Choice: (A) 3.14×(7+43–√3/9) (B) 3.14×(7+43–√3/7) (C) 3.14×(7+43–√3/6) (D) 3.14×(7+43–√3/3) (E) 3.14×(7+43–√3/1)
Answer: D
Assume all CDs are equal in time.
If 21 CDs have X hours of music, how many minutes will Y CDs have? Answer Choice: (A) 21XY/60 (B) 7/60XY (C) 21/60XY (D) 20XY/7 (E) 7/20XY
Answer: D
a survey of n people in the town of badaville found that 50% of them prefer brand A.another survey of 100 people in the town of Chotaville found that 60% prefer brand A.In total 55% of all the people surveyed prefer brand A.What is the total number of people surveyed? Answer Choice: (A) 180 (B) 200 (C) 220 (D) 240 (E) 260
Answer: B
Which of the following is closest in value to (9^12)-(9^2)? Answer Choice: (A) 9^9 (B) 9^8 (C) 9^7 (D) 9^12 (E) 9^5
Answer: D
A company pays 12.5% dividend to its investors. If an investor buys Rs.60 shares and gets 25% on investment, at what price did the investor buy the shares? Answer Choice: (A) 25 (B) 66 (C) 30 (D) 19 (E) 01
Answer: C
A train passes a platform in 36 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is Answer Choice: (A) 280 meter (B) 240 meter (C) 200 meter (D) 260 meter (E) None of these
Answer: B
Can you find the missing number in the sequence given below?
11 15 19 12 16 ? 13 17 21 14 18 22 Answer Choice: (A) 20 (B) 21 (C) 22 (D) 23 (E) 24
Answer: A
If a population of women in a town is 50% of men . What is the population of men as a % of population of women ? Answer Choice: (A) 200% (B) 100% (C) 50% (D) 65% (E) 110%
Answer: A
A pipe X is 30 meters and 45% longer than another pipe Y. find the length of the pipe Y. Answer Choice: (A) 20.12 (B) 20.68 (C) 20 (D) 20.5 (E) None of these
Answer: B
The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is: Answer Choice: (A) 4.5% (B) 4% (C) 5% (D) 6% (E) 5.5%
Answer: C
If population of certain city increases at the rate of 5%. If population in 1981 was 324135, then population in 1978 was? Answer Choice: (A) 120000 (B) 120029 (C) 187899 (D) 178968 (E) 280000
Answer: E
The sum of the non-prime numbers between 30 and 40, non-inclusive, is Answer Choice: (A) 202 (B) 217 (C) 232 (D) 247 (E) 262
Answer: D
How many digits will be there to the right of the decimal point in the product of 89.635 and .02218? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: C
A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 45%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available? Answer Choice: (A) 20% (B) 25% (C) 33.33% (D) 40% (E) 35%
Answer: E
John bought 9.25m of cloth for $434.75. Find the cost price per metre. Answer Choice: (A) 46 (B) 47 (C) 58 (D) 56 (E) 54
Answer: B
Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability V that Jane will be on the same committee as Albert? Answer Choice: (A)  12% (B)  20% (C)  33% (D)  40% (E)  50%
Answer: D
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 152 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A? Answer Choice: (A) 1289 (B) 1198 (C) 281 (D) 1216 (E) 282
Answer: D
Evaluate: 17 + sqrt(- 7 + 10Ã—6Ã·5) =? Answer Choice: (A) 40 (B) 42 (C) 44 (D) 46 (E) 48
Answer: B
A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.1,20,000. At the end of the year, out of a total profit of Rs.3,75,000, C gets Rs.1,50,000 as his share. How many months after B joined the business, did C join? Answer Choice: (A) 4 months (B) 5 months (C) 6 months (D) 7 months (E) 8 months
Answer: A
If air is called green , green is called blue, blue is called sky, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ? Answer Choice: (A) Blue (B) Sky (C) Water (D) Yellow (E) Black
Answer: B
A 25% stock yielding 20% is quoted at: Answer Choice: (A) s. 83.33 (B) s. 110 (C) s. 112 (D) s. 125 (E) s. 140
Answer: D
If a, b, and c are consecutive positive integers and a < b < c, which of the following must be true?
I. c - a = 2
II. abc is an even integer.
III. (a + b + c)/3 is an decimal. Answer Choice: (A)  I only (B)  II only (C)  I and II only (D)  II and III only (E)  I, II, and III
Answer: C
A table is bought for Rs.200/- and sold at Rs.150/- find gain or loss percentage Answer Choice: (A) 15% loss (B) 20% loss (C) 25% loss (D) 30% loss (E) None
Answer: C
In Plutarch Enterprises, 60% of the employees are marketers, 30% are engineers, and the rest are managers. Marketers make an average salary of $50,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000? Answer Choice: (A) $80,000 (B) $130,000 (C) $260,000 (D) $290,000 (E) $320,000
Answer: C
What will come in place of the x in the following Number series? 18, X, 30, 46 ,78, 142 Answer Choice: (A) 35 (B) 56 (C) 22 (D) 87 (E) 98
Answer: C
Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled? Answer Choice: (A) 2 hours (B) 4 hours (C) 3 hours (D) 5 hours (E) 6 hours
Answer: C
If 4 consecutive letters are selected at random from the English alphabet, then the probability that one of the letters is a vowel is ? Answer Choice: (A) 13/23 (B) 16/23 (C) 11/23 (D) 17/23 (E) 18/23
Answer: D
Six years hence,a fathers age will be three times his son's age and three years ago the fathers age is nine times as old as his son. the fathers present age is Answer Choice: (A) 24 years (B) 28 years (C) 30 years (D) 40 years (E) 45 years
Answer: C
A taxi company charges $2.5 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90? Answer Choice: (A) 4 miles (B) 4 1/4 miles (C) 4 3/4 miles (D) 5 1/2 miles (E) 6 1/4 miles
Answer: B
The value of x + x(xx) when x = 3 is: Answer Choice: (A) 8 (B) 10 (C) 12 (D) 14 (E) 30
Answer: E
How much time will it take for an amount of 900 to yield 81 as interest at 4.5% per annum of simple interest? Answer Choice: (A) 3 years (B) 4 years (C) 6 years (D) 5 years (E) 2 years
Answer: E
Sam earns $6.00 per hour for the first 60 hours he works per week, and twice this rate for overtime. If Michael earned $358 last week, how many hours did he work? Answer Choice: (A) 43 (B) 44 (C) 45 (D) 46 (E) 69
Answer: E
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter? Answer Choice: (A) 178 (B) 132 (C) 279 (D) 265 (E) 801
Answer: B
A watch was sold at a loss of 10%. If it was sold for Rs.280 more, there would have been a gain of 4%. What is the cost price? Answer Choice: (A) s:2000 (B) s:1067 (C) s:1278 (D) s:1028 (E) s:1027
Answer: A
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house? Answer Choice: (A) 234 (B) 255 (C) 256 (D) 267 (E) 270
Answer: B
23, 29, 31, 37, 41, 43, 47, 53, 59, (...) Answer Choice: (A) 53 (B) 47 (C) 61 (D) 59 (E) 45
Answer: C
1.8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work?
I.19 men and 12 women together can complete the work in 18 days.
II.16 men can complete two-third of the work in 16 days.
III.In 1 day, the work done by three men in equal to the work done by four women. Answer Choice: (A) I only (B) II only (C) III only (D) I or II or III (E) II or III only
Answer: D
If Rs.10 be allowed as true discount on a bill of Rs.110 due at the end of a certain time,then the discount allowed on the same sum due at the end of double the time is : Answer Choice: (A) Rs. 20 (B) Rs. 21.81 (C) Rs. 22 (D) Rs. 18.33 (E) None of these
Answer: D
find highest power of 2 in 1!+2!+3!+4!...........+600! Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: A
M is the sum of the reciprocals of the consecutive integers from 401 to 500, inclusive. Which of the following is true? Answer Choice: (A) 1/3 < M < 1/2 (B) 1/5 < M < 1/4 (C) 1/7 < M < 1/5 (D) 1/9 < M < 1/7 (E) 1/12 < M < 1/9
Answer: B
8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 2 such machines to perform the same job? Answer Choice: (A) 2.25 hours (B) 8.75 hours (C) 12 hours (D) 24 hours (E) 16 hours
Answer: D
Working at constant rate, pump X pumped out half of the water in a flooded basement in 6 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement? Answer Choice: (A) a. 10 (B) b. 12 (C) c. 14 (D) d. 28 (E) e. 24
Answer: D
Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next? Answer Choice: (A) 10 (B) 12 (C) 7 (D) 8 (E) 9
Answer: A
Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3? Answer Choice: (A) 1/7 (B) 2/9 (C) 3/10 (D) 3/11 (E) 3/14
Answer: C
A can do a work in 8 days. B can do the same work in 24 days. If both A & B are working together in how many days they will finish the work? Answer Choice: (A) 3 (B) 5 (C) 4 (D) 2 (E) 6
Answer: E