loafeihong/math_mmlu_format huggingface dataset:
A, B and C enter into a partnership. They invest Rs. 1,20,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ? Answer Choice: (A) 9 : 4 : 8 (B) 9 : 4 : 7 (C) 3 : 4 : 2 (D) 3 : 4 : 1 (E) 9 : 4 : 5
Answer: B
If w is the square of a positive integer, which of the following must be equal to the square of the next positive integer? Answer Choice: (A) √n + 1 (B) n + 1 (C) n^2 + 1 (D) w + 2√w + 1 (E) n^2 + 2n + 1
Answer: D
Apple costs X rupees per kilogram for first 30 kgs and Y rupees per kilogram for each additional kilogram. If the price of 40 kilograms is 420 and for 50 kgs of Apples is 540 then the cost of first 10 kgs of Apples is Answer Choice: (A) 100 (B) 3.66 (C) 3.6 (D) 3.62 (E) 3.61
Answer: A
There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 14 have taken a course in finance and 15 have taken a marketing course. Nine of the employees have taken exactly two of the courses and 3 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses? Answer Choice: (A) 4 (B) 9 (C) 8 (D) 5 (E) 14
Answer: E
A cricket player whose bowling average was 24.85 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.85. What will be the number of wickets taken by him till the last match? Answer Choice: (A) 64 (B) 72 (C) 85 (D) 96 (E) 108
Answer: C
A box contains ten bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good? Answer Choice: (A) 1/6 (B) 16/625 (C) 609/625 (D) 5/6 (E) 18/263
Answer: C
A bag contains 10 balls numbered from 0 to 9. the balls are such that the person picking a ball out of the bag is equally likely to pick anyone of them. A person picked a ball and replaced it in the bag after noting its number. He repeated this process 2 more times. What is the probability that the ball picked first is numbered higher than the ball picked second and the ball picked second is numbered higher than the ball picked third? Answer Choice: (A) 72/100 (B) 3/25 (C) 4/5 (D) 1/6 (E) 1/9
Answer: B
In a certain pond, 100 fish were caught, tagged, and returned to the pond. A few days later, 100 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? Answer Choice: (A)  400 (B)  625 (C)  1,250 (D)  2,500 (E)  10,000
Answer: D
P has $21 more than what Q and R together would have had if both B and C had 1/5 of what P has. How much does P have? Answer Choice: (A) $35 (B) $36 (C) $37 (D) $38 (E) $39
Answer: A
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 24% home electronics; 10% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research? Answer Choice: (A) 8° (B) 10° (C) 18° (D) 54° (E) 52°
Answer: D
If x = 147, which of the following numbers could be subtracted from x to create a sum that is divisible by 6? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
If log 27 = 1.467, then the value of log 9 is: Answer Choice: (A) 0.978 (B) 0.945 (C) 0.954 (D) 0.958 (E) 0.998
Answer: A
If the integer x is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when x is rounded to the nearest ten. which of the following is a possible value of x? Answer Choice: (A) 64 (B) 67 (C) 99 (D) 133 (E) 147
Answer: A
How many numbers between 1 and 100 are divisible by 7 ? Answer Choice: (A) 9 (B) 11 (C) 17 (D) 14 (E) 12
Answer: D
A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money N did Bob receive? Answer Choice: (A) 20 (B) 22 (C) 24 (D) 26 (E) 52
Answer: B
If d is a positive even integer, and n and m are consecutive integers, then (n - m)^d/(m - n)d = Answer Choice: (A) -2 (B) -1 (C) 0 (D) 1 (E) 2
Answer: D
A sum of $800 amounts to $920 in 3 years at simple interest. If the interest rate is increased by 3% it would amount to how much ? Answer Choice: (A) $506 (B) $774 (C) $992 (D) $854 (E) $1021
Answer: C
The ratio, by weight, of coffee to sugar to water in a pot of coffee is 5:2:20. The ratio is then altered so that the ratio of coffee to sugar is halved while the ratio of coffee to water is tripled. If the altered pot of coffee contains 8 grams of sugar, how many grams of water does it contain after alteration? Answer Choice: (A) 12 (B) 12.5 (C) 13 (D) 13.5 (E) 14
Answer: E
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year	Item of Expenditure
Salary	Fuel and Transport	Bonus	Interest on Loans	Taxes
1998	288	98	3.00	23.4	83
1999	342	112	2.52	32.5	108
2000	324	101	3.84	41.6	74
2001	336	133	3.68	36.4	88
2002	420	142	3.96	49.4	98
Total expenditure on all these items in 1998 was approximately what percent of the total expenditure in 2002? Answer Choice: (A) 62% (B) 69.45% (C) 70% (D) 71% (E) 72%
Answer: B
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 54Â° is? Answer Choice: (A) 52.6 (B) 52.9 (C) 67.9 (D) 52.1 (E) 52.2
Answer: C
What is 1! + 2! + ... + 10! ? Answer Choice: (A) 4,037,910 (B) 4,037,913 (C) 4,037,915 (D) 4,037,916 (E) 4,037,918
Answer: B
Apples are bought at 11 for a $ and an equal number more at 9 a $. If these are sold at 10 for a $, find the loss or gain percent? Answer Choice: (A) 5% loss (B) 7% loss (C) 3% loss (D) 2% loss (E) 1% loss
Answer: E
There are two groups of students in the sixth grade. There are 20 students in group A, and 80 students in group B. If, on a particular day, 20% of the students in group A forget their homework, and 15% of the students in group B forget their homework, then what percentage of the sixth graders forgot their homework? Answer Choice: (A) 13% (B) 14% (C) 15% (D) 16% (E) 17%
Answer: D
What is the value of (44444445*88888885*44444442+44444438)/44444444^2 Answer Choice: (A) 88888883 (B) 88888827 (C) 16992677 (D) 88888237 (E) 88888182
Answer: A
Find average speed if a man travels at speed of 20km/hr up and 26km/hr dawn at an altitude of 240m. Answer Choice: (A) 25.8 (B) 26.8 (C) 22.6 (D) 28.8 (E) 29.8
Answer: C
Find the remainder Y when 12^190 is divided by 1729 ? Answer Choice: (A) 12 (B) 1 (C) 1728 (D) 1717 (E) 4
Answer: D
What is the perimeter of a square with area 9p^2/36 ? Answer Choice: (A) 3p/4 (B) 3p^2/4 (C) 2p (D) 3p^2 (E) 4p/3
Answer: C
Find the simple interest on Rs.500 for 9 months at 6 paisa per month? Answer Choice: (A) 238 (B) 270 (C) 987 (D) 167 (E) 121
Answer: B
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%? Answer Choice: (A) 600 (B) 267 (C) 132 (D) 277 (E) 161
Answer: A
Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5? Answer Choice: (A) 4 : 3 (B) 3 : 4 (C) 5 : 6 (D) 7 : 9 (E) None
Answer: D
Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is: Answer Choice: (A) 30 (B) 20 (C) 40 (D) 60 (E) 70
Answer: B
A box contains 40 balls, numbered from 1 to 40. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd? Answer Choice: (A) 1/4 (B) 3/8 (C) 1/2 (D) 5/8 (E) 3/4
Answer: A
How many even prime numbers are there less than 50? Answer Choice: (A) 15 (B) 1 (C) 2 (D) 16 (E) 17
Answer: B
The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 4th year, the plum tree grew 50 plums. If this trend continues, how many plums will it grow during its 6th year? Answer Choice: (A) 36 (B) 41 (C) 38 (D) 40 (E) 42
Answer: B
The number of singles that a baseball player hit increased 18 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 6 percent. If the total number of singles and doubles that she hit increased 3 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season? Answer Choice: (A) 1:3 (B) 4:5 (C) 1:5 (D) 2:5 (E) 3:5
Answer: E
Jill, who lives in City C, plans to visit 3 different cities, M, L, and S. She plans to visit each city exactly once and return to City C after the 3 visits. She can visit the cities in any order. In how many different orders can she visit the 3 cities? Answer Choice: (A) 3 (B) 6 (C) 8 (D) 9 (E) 12
Answer: B
What approximate value should come in place of the question mark (?) in the following equation?
39.05 × 14.95 – 27.99 × 10.12 = (36 + ?) × 5 Answer Choice: (A) 22 (B) 29 (C) 34 (D) 32 (E) 25
Answer: E
If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 372, C will receive Answer Choice: (A) 60 (B) 51 (C) 900 (D) 72 (E) 271
Answer: D
If y exceeds x by 25%, then x is less than y by? Answer Choice: (A) 22% (B) 67% (C) 20% (D) 16% (E) 11%
Answer: C
In a 500 member association consisting of men and women, exactly 20% of men and exactly 50 % women are homeowners. What is the least number of members who are homeowners? Answer Choice: (A) 149 (B) 147 (C) 101 (D) 143 (E) 141
Answer: C
7/9 of 3/5 of a number is greater than 2/9 of 5/6 of the same number by 152. What is half of that number? Answer Choice: (A) 165 (B) 195 (C) 240 (D) 270 (E) 315
Answer: D
In a class of 120 students, 25 did not opt for math. 10 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science? Answer Choice: (A) 63 (B) 95 (C) 77 (D) 87 (E) 48
Answer: D
The number N is 6,2X4, where X represents the ten's digit. If N is divisible by 9, what is the value of X? Answer Choice: (A) 1 (B) 3 (C) 5 (D) 7 (E) 6
Answer: E
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is: Answer Choice: (A) 8% (B) 6% (C) 9% (D) 10% (E) 11%
Answer: A
A Scooter is sold for Rs. 65000, a shop keeper gains 25%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is? Answer Choice: (A) 25% (B) 12.5% (C) 22.5% (D) 15% (E) 36%
Answer: B
How many 6 digit number can be formed from the digits 1, 2, 3, 4, 5, 6 which are divisible by 4 and digits are not repeated? Answer Choice: (A) 192 (B) 122 (C) 140 (D) 242 (E) None
Answer: A
The current birth rate per thousand is 50, where as corresponding death rate is 10 per thousand. The net growth rate in terms of population increase in percent is given by? Answer Choice: (A) 2% (B) 3% (C) 4% (D) 6% (E) 8%
Answer: C
A machine puts c caps on bottles in m hours. How many hours will it take to put caps on b bottles? Answer Choice: (A) 60bm/c (B) bm/60c (C) bc/60m (D) bm/c (E) b/60cm
Answer: D
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 320, the cost of the article is Answer Choice: (A) 289 (B) 231 (C) 200 (D) 288 (E) 600
Answer: E
How many of the positive factors of 24 are not factors of 26 Answer Choice: (A) 2 (B) 3 (C) 4 (D) 1 (E) 6
Answer: E
Calculate the HCF of 64, 318, 250 Answer Choice: (A) 6 (B) 5 (C) 4 (D) 3 (E) 2
Answer: E
A certain cube floating in a bucket of water has between 80 and 90 percent of its volume below the surface of the water. If between 6 and 13 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately Answer Choice: (A) 4 (B) 5 (C) 7 (D) 8 (E) 9
Answer: A
the radius of the circle is reduced from 5cm to 4cm then the % change of area . Answer Choice: (A) 36% (B) 37% (C) 35% (D) 38% (E) 39%
Answer: A
Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum? Answer Choice: (A) 20 (B) 22 (C) 25 (D) 27 (E) 29
Answer: A
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 1104 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) 2145 (B) 2209 (C) 2878 (D) 1210 (E) 1560
Answer: A
Find the probability that a number selected from numbers 1, 2, 3,..., 30 is a prime number, when each of the given numbers is equally likely to be selected? Answer Choice: (A) 10/30 (B) 1/30 (C) 8/30 (D) 3/30 (E) 7/30
Answer: C
The price of a car is marked at $10,000. If the car has successive discounts of 25%, 20% and 10%, then at what price does a customer buy the car? Answer Choice: (A) $4600 (B) $4800 (C) $5000 (D) $5200 (E) $5400
Answer: E
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If 2 of the slips are the drawn, without replacement, what is the probability that both have a even number written on it? Answer Choice: (A) 1/12 (B) 1/10 (C) 1/8 (D) 1/2 (E) 2/9
Answer: E
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 75 km/hr? Answer Choice: (A) 25 (B) 30 (C) 99 (D) 88 (E) 61
Answer: A
John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today? Answer Choice: (A) 8 (B) 10 (C) 12 (D) 16 (E) 18
Answer: C
the cyclist walking at a constant rate of 15 miles per hour is passed by a car traveling in the same direction along the same path at 60 miles per hour. the car stops to wait for the cyclist for 6 minutes after passing her, while the cyclist continues to go at her constant rate, how many minutes must the car wait until the cyclist catches up? Answer Choice: (A) 9 (B) 10 (C) 12 (D) 15 (E) 18
Answer: E
A dishonest dealer professes to sell goods at the cost price but uses a weight of 840 grams per kg, what is his percent? Answer Choice: (A) 19 (B) 25 (C) 77 (D) 88 (E) 11
Answer: A
The visitors of a modern art museum who watched a certain Picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. According to the results of the survey, all 110 visitors who did not enjoy the painting also did not feel they had understood the painting, and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting. If 3/4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting, then how many visitors answered the questionnaire? Answer Choice: (A) 90 (B) 120 (C) 160 (D) 360 (E) 440
Answer: E
A person started from point A to point B and returned back to A with a speed of 60 kmh. If the distance between A and B is 120km, calculate the time he travelled Answer Choice: (A) 4 hours (B) 2 hours (C) 3 hours (D) 6 hours (E) 5 hours
Answer: A
If the sum of three consecutive even numbers is 44 more than the average of these numbers, then the largest of these numbers is? Answer Choice: (A) 24 (B) 66 (C) 9 (D) 7 (E) 01
Answer: A
If a: b :: 3 : 7, then what is (5a+6b): (a-2b)? Answer Choice: (A) 57:11 (B) -57:11 (C) 11 : 10 (D) -11 : 10 (E) -1 : 10
Answer: B
A is twice as good a workman as B and they took 8 days together to do the work B alone can do it in. Answer Choice: (A) 24 days (B) 12 days (C) 29 days (D) 25 days (E) 27 days
Answer: A
A can do a job in 16 days, B can do same job in 12 days. With the help of C they did the job in 4 days. C
alone can do the same job in how many days ? Answer Choice: (A) 612days (B) 712days (C) 835days (D) 935days (E) None of these
Answer: D
Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 25% more than Bert had in savings, and separately, the same price was also 50% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings. Answer Choice: (A) 1:5 (B) 2:5 (C) 3:5 (D) 4:5 (E) 1:1
Answer: B
A cylindrical vessel of a certain height and radius can hold 30 liters of water in it when filled to the brim. All the water in the cylindrical vessel is transferred to a spherical vessel. If the height and radius of the cylindrical vessel is the same as the radius of the spherical vessel, what percentage of the capacity of the spherical vessel will remain empty after the transfer? Answer Choice: (A) 0% (B) 16.67% (C) 25% (D) 33.33% (E) 50%
Answer: C
A fruit seller had some oranges. He sells 30% oranges and still has 420 oranges. How many oranges he had originally? Answer Choice: (A) 420 (B) 600 (C) 220 (D) 400 (E) None of these
Answer: B
A man is 18 years older than his son. In two years, his age will be twice the age of his son. The
present age of his son is Answer Choice: (A) 20 years (B) 16 years (C) 22 years (D) 24 years (E) 26 years
Answer: B
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? Answer Choice: (A) 1 (B) 1/2 (C) 1/5 (D) 1/7 (E) 2
Answer: C
A man desired to get into his work building, however he had forgotten his code.
However, he did recollect five pieces of information
-> Sum of 5th number and 3rd number is 14.
-> Difference of 4th and 2nd number is 1.
-> The 1st number is one less than twice the 2nd number.
->The 2nd number and the 3rd number equals 10.
->The sum of all digits is 30.
Crack the code ? Answer Choice: (A) 7+4+5+5+9 (B) 7+4+6+5+8 (C) 7+4+7+5+9 (D) 6+4+6+5+9 (E) None
Answer: B
On a Monday in a certain restaurant, 20 percent of the 160 customers ordered the daily special. On Tuesday, only 10 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special? Answer Choice: (A) 14% (B) 16% (C) 18% (D) 23% (E) 30%
Answer: A
The mean of four integers Q will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers Answer Choice: (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III
Answer: A
Jerry travels 8 miles at an average speed of 40 miles per hour, stops for 14 minutes, and then travels another 20 miles at an average speed of 60 miles per hour. What is Jerry’s average speed, in miles per hour, for this trip? Answer Choice: (A) 36 (B) 42.5 (C) 44 (D) 50 (E) 52.5
Answer: A
P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is: Answer Choice: (A) 35000 (B) 40000 (C) 50000 (D) 60000 (E) None
Answer: D
Each of the following equations E has at least one solution EXCEPT Answer Choice: (A) E=–2^n = (–2)^-n (B) E=2^-n = (–2)^n (C) 2^n = (–2)^-n (D) (–2)^n = –2^n (E) (–2)^-n = –2^-n
Answer: A
If 10 farmers can reap a field in 8 days, then 8 farmers will reap the same field in : Answer Choice: (A) 5 days (B) 10 days (C) 4 days (D) 20 days (E) None of these
Answer: B
In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 58 liters and they are all empty, how much money total will it cost to fuel all cars? Answer Choice: (A) 320.40$ (B) 383.40$ (C) 420.40$ (D) 450.40$ (E) 473.40$
Answer: E
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 100 resolutions. Answer Choice: (A) 140 m (B) 141 m (C) 142 m (D) 143 m (E) 144 m
Answer: B
If the square root of 5625 is 75, then
√5625 + √56.25 + √0.5625 is equal to Answer Choice: (A) 82.25 (B) 80.25 (C) 79.25 (D) 83.25 (E) 84.25
Answer: D
A boy was asked to find the value of 3/8 of a sum of money. Instead of multiplying The sum by
3/8 he divided it by 3/8 and then his answer exceeded by Rs. 55. Find the Correct be x. Answer Choice: (A) Rs.8 (B) Rs.3 (C) Rs.5 (D) Rs.7 (E) Rs.9
Answer: E
A grocer has a sale of Rs. 5266, Rs. 5768, Rs. 5922, Rs. 5678 and Rs. 6029 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5600? Answer Choice: (A) 4637 (B) 4737 (C) 4937 (D) 5937 (E) 5978
Answer: C
The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along theoundary of the park at the speed of 12km/hr completes one round in 8 min, then the area of the park (in sq. m) is? Answer Choice: (A) 145010 m (B) 146400 m (C) 153600 m (D) 164500 m (E) 167550 m
Answer: C
A dog travelled for 2 hours. He covered the first half of the distance at 10 kmph and remaining half of the distance at 5 kmph. Find the distance travelled by the dog? Answer Choice: (A) 20 km (B) 16 km (C) 6 km (D) 3 km (E) 61 km
Answer: A
What will be the fraction of 50% Answer Choice: (A) 1/4 (B) 1/5 (C) 1/10 (D) 1/8 (E) None of above
Answer: E
How many words can be formed by using all letters of the word ‘CAT’ ? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 10 (E) 12
Answer: B
Two trains each 120m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 85km/h while the other travels at 65km/h. how long will it take for them to pass each other completely. Answer Choice: (A) 11.07 sec (B) 10.07 sec (C) 13.07 sec (D) 12.07 sec (E) 14.07 sec
Answer: B
A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself? Answer Choice: (A) 17 years (B) 62 years (C) 12 years (D) 16 years (E) 52 years
Answer: C
Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 890 as total interest. What was the amount he lent out at 8% pa.a? Answer Choice: (A) 5507 (B) 5500 (C) 5508 (D) 5502 (E) 5501
Answer: B
3 machines a,b,c can be used to produce a product. Machine a will take 60 hours to produce a million units. Machine b is twice as fast as machine a. Machine c takes the same amount of time as machine a and b taken together. How much time will be required to produce a million units if all the three machines are used simultaneously? Answer Choice: (A) 12 hours (B) 10 hours (C) 8 hours (D) 9 hours (E) None of these
Answer: B
Five persons are to be selected from a group of 7 males and 6 females to form party so that at least 3 male members are there on the committee. What are the possible number of ways to form the party ? Answer Choice: (A) 756 (B) 765 (C) 785 (D) 789 (E) None
Answer: A
If 0.75 : x :: 10 : 8, then x is equal to: Answer Choice: (A) A)0.6 (B) B)0.8 (C) C)0.85 (D) D)0.5 (E) E)none
Answer: A
In country Z, 18% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma? Answer Choice: (A) 37% (B) 45% (C) 55% (D) 65% (E) 75%
Answer: A