loafeihong/math_mmlu_format huggingface dataset:
A can contains a mixture of two liquids A and B is 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) 18 (B) 19 (C) 21 (D) 26 (E) 28
Answer: C
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is: Answer Choice: (A) 0 (B) 5 (C) 12 (D) 8 (E) 10
Answer: E
In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 18 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture. Answer Choice: (A) 2/1 (B) 4/3 (C) 2/3 (D) 3/4 (E) 3/2
Answer: B
Without any stoppages a person travels a certain distance at an average speed of 40 km/hr and with stoppages he covers the same distance at an average of 20 km/hr. How many minutes per hour does he stop? Answer Choice: (A) 15 minute (B) 20 minutes (C) 30 minutes (D) 45 minutes (E) None of these
Answer: C
Divide Rs. 720 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is? Answer Choice: (A) s.800 (B) s.400 (C) s.600 (D) s.180 (E) s.900
Answer: D
The average mark of a class of thirty two students is 75. If three students whose marks are 28 and 34 are removed , then find the approximate average mark of the remaining students of the class. Answer Choice: (A) 71 (B) 74 (C) 78 (D) 70 (E) 80
Answer: C
The function f(x) = x + 4 is given. Solve the equation:
[3.f(x - 2)]/f(0) + 4 = f(2x + 1) Answer Choice: (A) 0.2 (B) 0.3 (C) 0.4 (D) 0.5 (E) None of these
Answer: C
If a quality control check is made inspecting a sample of 2 light bulbs from a box of 13 lighbulbs, how many different samples can be chosen? Answer Choice: (A) 6 (B) 24 (C) 36 (D) 66 (E) 78
Answer: E
In a game of billiards, A can give B 20 points in 60 and he can give C 40 points in 60. How many points can B give C in a game of 100? Answer Choice: (A) 18 (B) 27 (C) 50 (D) 21 (E) 17
Answer: C
The perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle Answer Choice: (A) A)72 (B) B)828 (C) C)50 (D) D)34 (E) E)35
Answer: C
The length Q of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent? Answer Choice: (A) Decreases by 19% (B) Decreases by 25% (C) Increases by 6% (D) Increases by 19% (E) Increases by 25%
Answer: D
The largest natural number which exactly divides the product of any four consecutive natural numbers is Answer Choice: (A) 6 (B) 12 (C) 24 (D) 36 (E) 48
Answer: C
The average weight of 25 boys sitting in a boat had some value. A new person added to them whose weight was 60 kg only. Due to his arrival, the average weight of all the boys decreased by 10 kg. Find the average weight of first 25 boys? Answer Choice: (A) 302 (B) 203 (C) 320 (D) 260 (E) 192
Answer: C
On one particular day, Beth's garden bloomed 1235 flowers. If Beth separates her flowers evenly across 9 different vases, how many flowers would remain with her. Answer Choice: (A) 1 Flowers (B) 2 Flowers (C) 3 Flowers (D) 4 Flowers (E) 5 Flowers
Answer: B
A girl sold a book at a profit of 7%. Did she sold it for Rs.7.50 more, 22% would have been gained. Find the CP? Answer Choice: (A) 40% (B) 45% (C) 50% (D) 60% (E) 69%
Answer: C
Which of the following number should be added to 11158 to make it exactly divisible by 77? Answer Choice: (A) 6 (B) 5 (C) 8 (D) 7 (E) 9
Answer: D
If p is a positive integer and p^2 is divisible by 12, then the largest positive integer that must divide p ^3 is Answer Choice: (A) 2^3 (B) 2^6 (C) 3^3 (D) 6^3 (E) 12^2
Answer: D
40, 45, 50, 55, 65, 75, 75, 100, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 22.2, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
Each of the products produced yesterday was checked by worker x or worker y. 0.5% of the products checked by worker x are defective and 0.8% of the products checked by worker y are defective. If the total defective rate of all the products checked by worker x and worker y is 0.74%, what fraction of the products was checked by worker y? Answer Choice: (A) 1/2 (B) 2/3 (C) 3/5 (D) 3/4 (E) 4/5
Answer: E
seven family members: 5 grandchildren (3 brothers and 2 sisters) and their 2 grandparents are to be seated around a circular table. How many different seating arrangements are possible so that 2 sisters are seated between any two of the three brothers? Answer Choice: (A) 72 (B) 480 (C) 1440 (D) 2880 (E) 8640
Answer: A
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 42 years now, the son's age five years back was: Answer Choice: (A) 19 years (B) 14 years (C) 33 years (D) 16 years (E) 39 years
Answer: D
In the circular region shown above, sections A and B represent 3/8 and 5/11, respectively, of the area of the circular region. Section C represents what fractional part of the area of the circular region? Answer Choice: (A) 15/88 (B) 2/11 (C) 5/22 (D) 45/88 (E) 73/88
Answer: A
Which of the following is(are) false for a@b=b@a?
I. a@b=ab+ba
II. a@b=(a+b)(a-b)
III. a@b=(a/b)+(b/a) Answer Choice: (A) only Ⅰ (B) only Ⅱ (C) only Ⅲ (D) only ⅠⅢ (E) only ⅡⅢ
Answer: A
You have 5 sticks of lengths 10, 30, 40, 50, and 60 centimeters. The number of non-congruent triangles that can be formed by choosing three of the sticks to make the sides is Answer Choice: (A) 3 (B) 4 (C) 7 (D) 10 (E) 12
Answer: B
10 men working 6 hrs per day manufacture 200 shoes in 18 days. How many hours a day must 15 men work to manufacture the same 200 shoes in 12 days? Answer Choice: (A) 6 (B) 10 (C) 12 (D) 15 (E) 18
Answer: A
Which of the following inequalities is equivalent to −1 < x < 5? Answer Choice: (A) |x - 1| < 7 (B) |x + 2| < 3 (C) |x + 3| < 5 (D) |x - 2| < 3 (E) None of the above
Answer: D
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively? Answer Choice: (A) 17:6 (B) 17:4 (C) 17:8 (D) 17:1 (E) 17:3
Answer: E
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? Answer Choice: (A) 9% (B) 15% (C) 25% (D) 50% (E) 100%
Answer: A
The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent? Answer Choice: (A) 8% (B) 5% (C) 6% (D) 4% (E) 2%
Answer: B
In how many ways can four different rings be worn on four fingers of one hand? Answer Choice: (A) 10 (B) 1 (C) 15 (D) 16 (E) 18
Answer: B
If six persons sit in a row, then the probability that three particular persons are always together is ? Answer Choice: (A) 1/5 (B) 1/7 (C) 1/2 (D) 1/1 (E) 1/9
Answer: C
Seven family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible? Answer Choice: (A) 120 (B) 240 (C) 360 (D) 480 (E) 720
Answer: B
What is the sum of two consecutive even numbers, the difference of whose squares is 84? Answer Choice: (A) 34 (B) 38 (C) 42 (D) 46 (E) 48
Answer: C
In what time will a train 140 meters long cross an electric pole, if its speed is 210 km/hr Answer Choice: (A) 5 seconds (B) 4.5 seconds (C) 3 seconds (D) 2.4 seconds (E) None of these
Answer: D
Bell and Carol are partners in a business, they invested Rs. 25,800 and Rs. 32,000 respectively.If the business yielded a total profit of Rs. 21,500, what is Carol's share? Answer Choice: (A) 11903.11 (B) 12703.11 (C) 15103.11 (D) 11979.11 (E) 11990.11
Answer: A
Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer R between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it? Answer Choice: (A) 12 (B) 15 (C) 17 (D) R=18 (E) 20
Answer: D
There is a 100 pound watermelon laying out in the sun. 99 percent of the watermelon's weight is water. After laying out for a few hours 98 percent of the watermelon's weight is water.
How much water evaporated? Answer Choice: (A) A)20 (B) B)30 (C) C)40 (D) D)50 (E) E)10
Answer: D
What is the dividend. divisor 19, the quotient is 9 and the remainder is 5? Answer Choice: (A) A)130 (B) B)134 (C) C)148 (D) D)176 (E) E)160
Answer: D
A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 600. How much did he have with him in the beginning? Answer Choice: (A) s 200 (B) s 1500 (C) s 300 (D) s 450 (E) s 550
Answer: B
Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey? Answer Choice: (A) 61mph (B) 62mph (C) 63mph (D) 64mph (E) 65mph
Answer: D
x, y, a, and b are positive integers of H. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b? Answer Choice: (A) 24 (B) 21 (C) 20 (D) 17 (E) 15
Answer: E
John, a painter, has 9 jars of paint: 4 are white, 2 are yellow, and the rest are brown. John will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no white paint 2) C2, if the paint contains 3 jars of brown paint. 3) J1, if the paint contains at least 2 jars of white paint 4) J2, if the paint contains exactly 1 jar of white paint What is the probability that the new colour will be a shade of J (J1 or J2)? Answer Choice: (A) 42/37 (B) 84/37 (C) 21/37 (D) 74/42 (E) 37/42
Answer: E
A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum. Answer Choice: (A) 333 (B) 4460 (C) 37687 (D) 26698 (E) 2911
Answer: B
Arun Kumar, Chennakesavan , Raghu and Krishnan always have discussions on various issues such as politics, international affairs, current affairs, studies etc. Once Raghu posed the following query to other group members:Find the range of real values of x satisfying the inequalities 4x - 5 > 7 and 5x - 14 > 16" Answer Choice: (A) x > 3 (B) x > 6 (C) x < 3 (D) x < 6 (E) none
Answer: B
A searchlight on top of the watchtower makes 4 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 12 seconds? Answer Choice: (A) 1/2 (B) 2/3 (C) 1/3 (D) 1/4 (E) 1/5
Answer: E
John and Steve are speed walkers in a race. John is 16 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push? Answer Choice: (A) 13 seconds (B) 17 seconds (C) 36 seconds (D) 34 seconds (E) 51 seconds
Answer: C
The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by? Answer Choice: (A) 1/45 (B) 1/42 (C) 1/46 (D) 1/48 (E) 1/43
Answer: B
How many words, with or without meaning, can be formed using all letters of the word GOOD using each letter exactly once? Answer Choice: (A) 18 (B) 20 (C) 22 (D) 23 (E) 24
Answer: E
At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together? Answer Choice: (A) 5 min past 7 (B) 5x6/11 min past 7 (C) 5x5/22 min past 7 (D) 5x5/11 min past 7 (E) 5/22 min past 7
Answer: D
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 20 such machines produce in 4 minutes? Answer Choice: (A)  648 (B)  1,800 (C)  2,700 (D)  3,600 (E)  64,800
Answer: D
X divided by 899 gives a remainder 63. What remainder will be obtained by dividing X by 29? Answer Choice: (A) 100598 (B) 10052 (C) 100528 (D) 10057 (E) 100182
Answer: D
Twelve men can complete a piece of work in 32 days. The same work can be completed by 16 women in 36 days and by 48 boys in 16 days. Find the time taken by one man, one woman and one boy working together to complete the work? Answer Choice: (A) (64 * 36)/13 days (B) (44 * 36)/23 days (C) (64 * 39)/13 days (D) (84 * 36)/13 days (E) (61* 36)/13 days
Answer: A
A man rows 750 m in 675 seconds against the stream and returns in 7 and half minutes. His rowing
speed in sƟll water is Answer Choice: (A) 4 kmph (B) 5 kmph (C) 6 kmph (D) 7 kmph (E) None of these
Answer: B
There are 5 men and 11 women. In how many ways one can select a group of 6 with at-least 3 men? Answer Choice: (A) 1935 (B) 1936 (C) 1937 (D) 1938 (E) 1939
Answer: B
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 60 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project? Answer Choice: (A) 480 (B) 160 (C) 320 (D) 192 (E) 240
Answer: E
A, B and C rents a pasture for Rs.870. 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? Answer Choice: (A) 270 (B) 278 (C) 268 (D) 266 (E) 121
Answer: A
Laura has a deck of standard playing cards with 12 of the 72 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart? Answer Choice: (A) 1/4 (B) 1/5 (C) 5/26 (D) 12/42 (E) 1/6
Answer: E
What is the least number which should be added to 2597 so that the sum is exactly divisible by 5, 6, 4, and 3? Answer Choice: (A) 17 (B) 23 (C) 26 (D) 35 (E) 43
Answer: E
The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father’s current age?
[0.5 Decades = 5 Years] Answer Choice: (A) 45 years (B) 55 years (C) 42 years (D) 46 years (E) 52 years
Answer: A
Rerty traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different. Answer Choice: (A) z=3x (B) x=3z (C) y=2x (D) x=2y (E) y=3x
Answer: D
Morgan Goldman has 5 Senior Managing Directors and 5 Managing Directors. Each investment banking deal requires the guidance of three managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Goldman possibly provide guidance for? Answer Choice: (A)  16 (B)  36 (C)  110 (D) 154 (E)  210
Answer: C
A man invested Rs. 50000 at the rate of 5% p.a. for the first three years, 8% p.a.for the next five years and 10% p.a.for the period beyond eight years. At the end of eleven years, he want to distribute total money among his four sons, How much money will each son get? Answer Choice: (A) 30000 (B) 25375 (C) 28680 (D) 32000 (E) 23125
Answer: E
A man can row 10 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man? Answer Choice: (A) 6.24 km (B) 6 km (C) 9.86 km (D) 5.66 km (E) 10 km
Answer: C
What is his percentage profit made by Nick if he purchased 10 dozen pens at Rs. 25 per dozen. He sold 3 dozens at 8% profit and the remaining 7 dozens with 14% profit? Answer Choice: (A) 15.2% (B) 17.2% (C) 12.2% (D) 11.2% (E) 13.2%
Answer: C
Find the number of zeroes in 58! (58 factorial) Answer Choice: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16
Answer: B
The contents of a certain box consist of 24 lemons and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be lemons? Answer Choice: (A)  24 (B)  26 (C)  30 (D)  46 (E)  50
Answer: B
Cost of an item is Rs 12.60 & profit is 10% over selling price what is the selling price Answer Choice: (A) 12.86 (B) 13.86 (C) 14.86 (D) 15.86 (E) 16.86
Answer: B
In what ratio should a variety of rice costing Rs. 7 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg? Answer Choice: (A) 5/6 (B) 5/2 (C) 5/1 (D) 5/3 (E) 7/6
Answer: B
Can you complete below number series by replacing "?" with the correct number.
10 # 10 # 20 # ? # 110 # 300 # 930 Answer Choice: (A) 35 (B) 25 (C) 45 (D) 55 (E) 75
Answer: C
Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is A? Answer Choice: (A) 50+A/200 (B) 50+3A/100 (C) 50+A/40 (D) 100+A/50 (E) 100+3A/100
Answer: C
v, q, and r are positive integers. If v, q, and r are assembled into the six-digit number vqrvqr, which one of the following must be a factor of vqrvqr? Answer Choice: (A)  23 (B)  19 (C)  17 (D)  7 (E)  none of the above
Answer: D
There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate? Answer Choice: (A) 2387 (B) 2978 (C) 3972 (D) 2671 (E) 1871
Answer: C
The number 86 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers? Answer Choice: (A) 17 (B) 16 (C) 15 (D) 14 (E) 13
Answer: D
A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is? Answer Choice: (A) 5729 (B) 5760 (C) 2889 (D) 2870 (E) 2799
Answer: B
When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number? Answer Choice: (A) n + 3 (B) n/2 + 3.5 (C) n – 3 (D) 3n + 1 (E) 5n + 2
Answer: E
P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 150 days, in how many days can R alone complete the remaining work? Answer Choice: (A) 50 days (B) 75 days (C) 120 days (D) 150 days (E) 80 days
Answer: C
The sum of first eight prime numbers is? Answer Choice: (A) 12 (B) 23 (C) 24 (D) 77 (E) 30
Answer: D
It takes Joey the postman 1 hours to run a 2 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 5 mile/hour, what is the speed with which Joey returns? Answer Choice: (A) 10 (B) 12 (C) 13 (D) 14 (E) 15
Answer: A
Find the odd man out. 12, 24, 36, 48, 61, 72, 84 Answer Choice: (A) 15 (B) 25 (C) 61 (D) 90 (E) 115
Answer: C
A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1540 are infected, how manyworkersinhabit the colony? Answer Choice: (A) 1500 (B) 2500 (C) 2750 (D) 3000 (E) 3500
Answer: E
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? Answer Choice: (A) 50400 (B) 5040 (C) 5004 (D) 7007 (E) 7004
Answer: A
A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum mark is Answer Choice: (A) 600 (B) 500 (C) 400 (D) 300 (E) 800
Answer: B
Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 30 phone numbers by using the readable digits followed by 30 different random combinations of three digits, each with at least one zero and at least one non-zero integer, what is the probability that he will dial the original number correctly? Answer Choice: (A) 1/9 (B) 10/243 (C) 1/27 (D) 10/271 (E) 1/1000000
Answer: A
trees of heights 30 and 40 sepatated by a river. fish in the river is at equal dis from top of the trees where two birds are there.ratio of the distances from fish to the root of the trees? Answer Choice: (A) 4:3 (B) 1:2 (C) 2:1 (D) 3:4 (E) 1:3
Answer: A
Jim Pete’s only source of income comes from his job as a question writer. In this capacity, Jim earns a flat salary of $200 per week plus a fee of $9 for every question that he writes. Every year, Jim takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Meivazhi Salai, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Jim wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Jim’s median annual income over the past 5 years? Answer Choice: (A) $22,474 (B) $25,673 (C) $27,318 (D) $28,459 (E) $31,227
Answer: D
If T divided by B equals 9.16 what is a possible remainder? Answer Choice: (A) 8 (B) 9 (C) 2 (D) 6 (E) 5
Answer: A
A train 200 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) 11 (B) 10 (C) 5 (D) 9 (E) 8
Answer: A
If |4x+10| = 46, what is the sum of all the possible values of x? Answer Choice: (A) 2 (B) -2 (C) 4 (D) -5 (E) 6
Answer: D
S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the seventh digit of p, counting right to left from the units digit? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 6 (E) 9
Answer: C
A and B invests Rs.3000 and Rs.5500 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? Answer Choice: (A) 8:8 (B) 9:8 (C) 9:7 (D) 9:5 (E) 9:11
Answer: E
The ratio between the present ages of A and B is 6:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago? Answer Choice: (A) 5:4 (B) 3:0 (C) 5:1 (D) 3:2 (E) 3:7
Answer: C
Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 33.3 kg of zinc has been consumed in it? Answer Choice: (A) 58 kg (B) 60 kg (C) 64 kg (D) 70 kg (E) 74
Answer: E
Of the seven-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two? Answer Choice: (A) 24 (B) 36 (C) 72 (D) 152409600 (E) 216
Answer: D
How many odd factors does 210 have? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 8
Answer: E
3 cooks have to make 80 burgers.They are known to make 20 pieces every minute working together.The 1st cook began workin alone and made 20 pieces having worked for sometime more than 3 mins.The remaining part of the work was done by second and 3rd cook working together.It took a total of 8 minutes to complete the 80 burgers.How many minutes would it take the 1st cook alone to cook 160 burgers? Answer Choice: (A) 16 minutes (B) 24 mins (C) 32 mins (D) 40 mins (E) 30 mins
Answer: C
There are 20 students in a class. In how many different ways can a committee of 3 students be formed? Answer Choice: (A) 650 (B) 730 (C) 980 (D) 1140 (E) 1480
Answer: D
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 72. What is the difference between the two digits of that number? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 8 (E) 9
Answer: D