loafeihong/math_mmlu_format huggingface dataset:
The average mark of a class of twenty students is 64. If three students whose marks are 32,28 and 34 are removed , then find the approximate average mark of the remaining students of the class. Answer Choice: (A) 71 (B) 74 (C) 57 (D) 70 (E) 80
Answer: D
A manufacturer is using glass as the surface for the multi-touch screen of its smartphone. The glass on the manufactured phone has a 8% probability of not passing quality control tests. The quality control manager bundles the smartphone in groups of 10. If that bundle has any smartphone that does not pass the quality control test, the entire bundle of 10 is rejected.
What is the probability that a smartphone bundle that will be rejected by quality control? Answer Choice: (A)  0.25 (B)  .05^10 (C)  1-0.92^10 (D)  1-0.05^10 (E)  0.95^10
Answer: C
Find the value of y from given equation: (12)^3 x 6^4 ÷ 432 = y? Answer Choice: (A) 2568 (B) 3468 (C) 4500 (D) 4876 (E) 5184
Answer: E
{(481 + 426)2 - 4 x 481 x 426} = ? Answer Choice: (A) 3025 (B) 4200 (C) 3060 (D) 3210 (E) None of these
Answer: A
Indu gave Bindu Rs.625 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Answer Choice: (A) 1 (B) 2 (C) 7 (D) 4 (E) 9
Answer: A
Magnabulk Corp sells boxes holding x magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate? Answer Choice: (A) 100bx/m (B) bx/m (C) bx/(100m) (D) m/(bx) (E) 100m/(bx)
Answer: E
in how many ways u can form a group of 11 members from 5 men and 11 women if the men member not more than 3? Answer Choice: (A) 2256 ways (B) 2356 (C) 3456 (D) 4456 (E) 1554
Answer: A
A person was fined for exceeding the speed limit by 10 km/hr.Another person was also fined for exceeding the same speed limit by twice the same.If the second person was traveling at a speed of 35 km/hr,find the speed limit. Answer Choice: (A) 487 (B) 15 (C) 76 (D) 29 (E) 12
Answer: B
The total age of A and B is 11 years more than the total age of B and C. C is how many year younger than A Answer Choice: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15
Answer: A
3-3*5+2= Answer Choice: (A) A)2 (B) B)-10 (C) C)-18 (D) D)-17 (E) of the above
Answer: B
In the Hillside summer camp there are 60 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen? Answer Choice: (A) 50. (B) 45. (C) 40. (D) 60. (E) 25.
Answer: D
If n is a positive integer, what is the remainder when (7^(4n+3))(3^n) is divided by 10? Answer Choice: (A) 1 (B) 2 (C) 4 (D) 6 (E) 8
Answer: B
When 6 + 2 = 85, 8 + 3 = 115, 7 + 5 = 125, then 5 + 8 = ? Answer Choice: (A) 145 (B) 185 (C) 245 (D) 135 (E) 140
Answer: D
A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 8 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per second faster than her speed flying to the rose. The bee flies how many meters per second from the daisy to the rose? Answer Choice: (A) 2.6 (B) 5.6 (C) 6.3 (D) 8 (E) 10
Answer: A
How many of the following numbers are divisible by 3 but not by 9 ?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276 Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) None of these
Answer: B
For all numbers c and d, the operation @ is defined by c@d = c^2 - cd. If xy ≠ 0, then which of the following can be equal to zero?
I. x@y
II. (xy)@y
III. x@(x + y) Answer Choice: (A) II (B) I and II (C) I and III (D) II and III (E) All of the above
Answer: B
Have a look at the formula P = nRT/V.
if R is doubled, T is doubled and V is quadrupled, by what factor does P change. Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 7 minutes earlier. How far is the office from his house? Answer Choice: (A) 3 Km (B) 3 1/5 Km (C) 4 1/5 Km (D) 5 1/5 Km (E) None
Answer: A
One fill pipe A is 3 times faster than second fill pipe B and takes 10 minutes less time to fill a cistern than B takes. Find when the cistern will be full if fill pipe B is only opened. Answer Choice: (A) 20 min (B) 18 min (C) 15 min (D) 10 min (E) None of these
Answer: C
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 40 phone numbers by using the readable digits followed by 40 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) 4/27 (D) 10/271 (E) 1/1000000
Answer: C
What is the least integer greater than 0+0.5? Answer Choice: (A) –2 (B) –1 (C) 0 (D) 1 (E) 2
Answer: D
Mathematics, physics, and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many mathematics books as physics books and the number of physics books is 4 greater than that of the chemistry books. Ricardo selects 1 book at random from the shelf, reads it in the library, and then returns it to the shelf. Then he again chooses 1 book at random from the shelf and checks it out in order to read at home. What is the probability Ricardo reads 1 book on mathematics and 1 on chemistry? Answer Choice: (A) 3% (B) 6% (C) 12percent (D) 20% (E) 24%
Answer: C
A train covers a certain distance at a speed of 200kmph in 4 hours. To cover the same distance in 1 3/4 hours, it must travel at a speed of Answer Choice: (A) 400km/hr (B) 457km/hr (C) 450km/hr (D) 650km/hr (E) 750km/hr
Answer: B
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 308 but three tickets from city A to B and two tickets from city A to C cost Rs. 292. What are the fares for cities B and C from A ? Answer Choice: (A) s. 4, Rs. 23 (B) s. 8.2, Rs. 97.2 (C) s. 15, Rs. 14 (D) s. 17, Rs. 13 (E) s. 17, Rs. 15
Answer: B
A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls? Answer Choice: (A) 22,99 (B) 60,60 (C) 40,88 (D) 30,40 (E) 40,30
Answer: B
What is the next number of the following sequence.
8, 8, 6, 2,.... ? Answer Choice: (A) -4 (B) -5 (C) -6 (D) -7 (E) -8
Answer: A
A train 500 m long passes a man, running at 9 km/hr in the same direction in which the train is going, in 20seconds. The speed of the train is: Answer Choice: (A) 105 (B) 95 (C) 90 (D) 99 (E) 100
Answer: D
How many ways are there for 3 males and 4 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall? Answer Choice: (A) 6 (B) 36 (C) 72 (D) 100 (E) 720
Answer: B
Think of a number, divide it by 6 and add 5 to it. The result is 17. What is the number thought of? Answer Choice: (A) 24 (B) 72 (C) 297 (D) 267 (E) 29
Answer: B
The distance from City A to City B is 180 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob? Answer Choice: (A) 45 (B) 48 (C) 50 (D) 52 (E) 54
Answer: A
If the perimeter of a rectangular garden is 1200 m, its length when its breadth is 240 m is? Answer Choice: (A) 338 m (B) 778 m (C) 200 m (D) 276 m (E) 360 m
Answer: E
It takes Johnson 10 minutes to walk to the car park and 20 min to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.? Answer Choice: (A) 8:50 a.m (B) 5:50 a.m (C) 7:50 a.m (D) 6:50 a.m (E) 8:30 a.m
Answer: E
What is the least value of integer N such that N! is divisible by 888 ? Answer Choice: (A) 13 (B) 88 (C) 31 (D) 37 (E) D) 888
Answer: D
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm. Answer Choice: (A) 667 cm2 (B) 886 cm2 (C) 285 cm2 (D) 266 cm2 (E) 226 cm2
Answer: C
If -1 < x < 0, which of the following must be true?
I. x^4 < x^3
II. x^6 < 1 – x
III. x^5 < x^2 Answer Choice: (A) I only (B) II only (C) III only (D) II,III only (E) I,II,III only
Answer: E
How many ways are there to arrange the letters in the word freelancer ? Answer Choice: (A) 1 (B) 1260 (C) 3780 (D) 7560 (E) 655200
Answer: E
In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 60, what is the least possible difference between n and m. Answer Choice: (A) a.1 (B) b.3 (C) c.5 (D) d.7 (E) e.9
Answer: C
If the average of ten numbers is 20, then which of the following could be the standard deviation of the ten numbers?
I. 0
II. 10
III. 20 Answer Choice: (A) all three options (B) I (C) II (D) III (E) I&II
Answer: A
A garrison of 500 men has provisions for 20 days. At the end of 14 days, a reinforcement arrives, and it is now found that the provisions will last only for 3 days more. What is the reinforcement? Answer Choice: (A) 500 (B) 1000 (C) 1500 (D) 3000 (E) 2000
Answer: A
To be considered grade AD, an egg must weigh between 75 and 90 grams, including the shell. Shells of grade AD eggs weigh between 3 and 5 grams. What is the smallest possible mass, in grams, of a 12-egg omelet, assuming that only grade AD eggs are used, the shells are all discarded, and no mass is lost in the cooking process? Answer Choice: (A) 800 (B) 840 (C) 864 (D) 900 (E) 1,080
Answer: B
There are 5 bags three of which each contains 5 white and 2 black balls, and remaining 2 bags each contains 1 white and 4 black ball; a black ball has been drawn, find the chance that it came from second group. Answer Choice: (A) 2/7 (B) 6/35 (C) 8/25 (D) 28/43 (E) 3/5
Answer: D
A work which could be finished in 10 days was finished 3 days earlier after 10 more men joined. The number of men employed was? Answer Choice: (A) 15 (B) 20 (C) 88 (D) 71 (E) 11
Answer: A
With out any halt a train travels a certain distance with an average speed of 55 km ph , and with halts it covers the same distance at an average speed of 30 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ? Answer Choice: (A) 48 min. (B) 12min. (C) 15min. (D) 18min. (E) 19min.
Answer: A
Simplify: 8755 x 95 Answer Choice: (A) 831725 (B) 787950 (C) 875500 (D) 43775 (E) 87500
Answer: A
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A? Answer Choice: (A) C is younger than A (B) 6 (C) 12 (D) 24 (E) None of these
Answer: C
Ten coins are tossed simultaneously. In how many of the outcomes will the second coin turn up a head? Answer Choice: (A) 2^9 (B) 2^10 (C) 3 * 2^8 (D) 3 * 2^9 (E) 3 * 2^10
Answer: A
There are 80 people and 3 clubs M, S, and Z in a company. 20 people joined M, 22 people joined S and 15 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not
join any club? Answer Choice: (A) 30 (B) 32 (C) 34 (D) 36 (E) 38
Answer: E
A family has two children. find the probability that both the children are girls given that at least
one of them is a girl? Answer Choice: (A) 1/2 (B) 1/3 (C) 3/5 (D) 3/7 (E) 3/11
Answer: B
The value of (34.5*0.473*1.567)/(0.0673*23.25*7.57) is close to Answer Choice: (A) 2 (B) 1.15 (C) 2.05 (D) 2.16 (E) 2.35
Answer: D
Three candidates contested an election and received 3000, 7500 and 6500 votes respectively. What percentage of the total votes did the winning candidate get ? Answer Choice: (A) 50.2% (B) 45.5% (C) 44.11% (D) 85% (E) 94.2%
Answer: C
Albert has a box of crayons. Each box contains 20 different colored crayons. How many crayons does Albert have if he buys 2 additional boxes? Answer Choice: (A) 40 (B) 20 (C) 80 (D) 120 (E) 60
Answer: E
The city of Boston decided to reconstruct its major tunnels. It estimated the job would require 612 mini projects spread evenly over an 18 month plan of completion. Only 108 mini projects had been successfully completed after 9 months. At this time, the construction was behind schedule by how many projects? Answer Choice: (A) 34 (B) 96 (C) 198 (D) 204 (E) 504
Answer: C
Its not easy having a mathematics professor as a friend. When she invited you to her house she
says, “All the houses on my side of the street are numbered consecutively in even numbers. There are
Six houses on my Side of my block and sum of their numbers is 9870. You don’t know which block I
live on, and it’s a long street, but I will tell you that I live in the lowest number on my side of the block. What’s the number? Or are you just going to ring the first- numbered doorbell for twenty blocks? Answer Choice: (A) 22388 (B) 2777 (C) 199 (D) 1640 (E) 2912
Answer: D
capacity of doing work of A is double than B.if both together finish a work in 12 days,then B alone in how many days will finish the work? Answer Choice: (A) 24 days (B) 27 days (C) 36 days (D) 48 days (E) 30 days
Answer: C
Find the value of 72519 x 9999 = m? Answer Choice: (A) 346568796 (B) 235467889 (C) 766444332 (D) 725117481 (E) 235656788
Answer: D
Look at this series: VI, 10, V, 11, __, 12, III, ... What number should fill the blank? Answer Choice: (A) II (B) IV (C) IX (D) 14 (E) 12
Answer: B
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is: Answer Choice: (A) 10º (B) 75º (C) 90º (D) 130º (E) 180º
Answer: A
Which of the following is equal to the value of 2^2 + 2^2 + 3^2 + 3^2 + 3^2 ? Answer Choice: (A) 2^8 + 3^3 (B) 2^4+ 3^5 (C) 2^3 + 3^3 (D) 2^4 + 3^3 (E) 2^3 + 3^5
Answer: C
The number N is 5,H48, where H represents the hundred's digit. If N is divisible by 11, what is the value of H Answer Choice: (A) 1 (B) 7 (C) 6 (D) 5 (E) 2
Answer: A
The digital sum of a number is the sum of its digits. For how many of the positive integers 24-100 inclusive is the digital sum a multiple of 7? Answer Choice: (A) 7 (B) 11 (C) 14 (D) 16 (E) 20
Answer: B
In a certain game, you pick a card from a standard deck of 52 cards. If the card is a heart, you win. If the card is not a heart, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a heart, and the point is to measure: how many draws did it take before the person picked a heart and won? What is the probability that one will have at least two “heartless” draws on the first two draws, not picking the first heart until at least the third draw? Answer Choice: (A) 1/2 (B) 9/16 (C) 11/16 (D) 13/16 (E) 15/16
Answer: B
Jim wishes to buy 3 gifts that cost 31 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money
he needs. How much more money must he earn in order to buy the gifts? Answer Choice: (A) $39 (B) $47 (C) $7 (D) $17 (E) $27
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) 21 (C) 24 (D) 26 (E) 27
Answer: A
A truck carrying cans of soup contains P stacks. Each stack contains Q cases, and each case contains 3Q cans. How many cans of soup are contained in 6 trucks? Answer Choice: (A) 18PQ^2 (B) 6P (C) 18P/Q^2 (D) 6Q^2/P (E) 3PQ^2
Answer: A
A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead and yellow bead. If the necklace begins with a red bead and ends with a white bead, then N could be: Answer Choice: (A) 16 (B) 32 (C) 54 (D) 68 (E) 86
Answer: D
The probability that a man will be alive for 10more yrs is 3/4 & the probability that his wife will alive for 10 more yrs is 3/7. The probability that none of them will be alive for 10 more yrs, is Answer Choice: (A) 1/2 (B) 1 (C) 1/7 (D) 3/4 (E) 2
Answer: C
How many hours in one year? Answer Choice: (A) 365 (B) 52 (C) 1024 (D) 8760 (E) No one knows
Answer: D
If f(c)=c^2 and c is a positive integer, which of the following CANNOT be the value of f(f(c))? Answer Choice: (A) 81 (B) 16 (C) 300 (D) 256 (E) 625
Answer: C
Half of 6 percent written as decimal is Answer Choice: (A) 5 (B) 0.5 (C) 0.05 (D) 0.005 (E) 0.03
Answer: E
Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Answer Choice: (A) 5 (B) 2 (C) 9 (D) 4 (E) 1
Answer: D
In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes? Answer Choice: (A) 3 (B) 9 (C) 3^5 (D) 25 (E) 215
Answer: C
A goods train runs at the speed of 72 km/hr and crosses a 210 m long platform in 26 sec. What is the length of the goods train? Answer Choice: (A) 382 (B) 782 (C) 278 (D) 310 (E) 881
Answer: D
In a race with 9 competitors, the first-place finisher receives a gold medal, the second-place finisher receives a silver medal, and the third-place finisher receives a bronze medal. If there are no ties, in how many different ways may these three medals be awarded? Answer Choice: (A) 35 (B) 120 (C) 504 (D) 840 (E) 604,800
Answer: C
Out of four numbers ,the average of first three is 20 and that of the last three is 15. If the last number is 18,the first number is : Answer Choice: (A) 22 (B) 33 (C) 77 (D) 99 (E) 27
Answer: B
If (a) '1 2 3' stands for 'These are girls', (b) '135' stands for 'girls are clever' and (c) '156' stands for 'clever girls sing', which numerical stands for 'clever'? Answer Choice: (A) 1 (B) 4 (C) 2 (D) 3 (E) 5
Answer: E
The length of minute hand of a clock is 5.4 cm. What is the area covered by this in 20 minutes Answer Choice: (A) 15.27 (B) 16.27 (C) 17.27 (D) 30.54 (E) 30.27
Answer: D
Evaluate: 55 - 12*3*2 = ? Answer Choice: (A) 47 (B) 52 (C) 32 (D) 12 (E) 22
Answer: A
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform? Answer Choice: (A) 352 (B) 350 (C) 3529 (D) 3520 (E) 3501
Answer: B
In an increasing sequence of 12 consecutive even integers, the sum of the first 4 integers is 268. What is the sum of all the integers in the sequence? Answer Choice: (A) 552 (B) 668 (C) 774 (D) 888 (E) 990
Answer: D
How many consonants are present between the first and sixth vowel in the sequence of English alphabet ? Answer Choice: (A) 12 (B) 13 (C) 11 (D) 10 (E) None of these
Answer: E
What is the total surface area in square meters of a rectangular solid whose length is 5 meters, width is 4 meters, and depth is 1 meters? Answer Choice: (A) 48 m2 (B) 40 m2 (C) 50 m2 (D) 58 m2 (E) 62 m2
Answer: D
Find the odd man out
864, 420, 200, 90, 40, 16, 6 Answer Choice: (A) 90 (B) 200 (C) 16 (D) 40 (E) 6
Answer: A
Running at their respective constant rates, machine X takes 6 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets? Answer Choice: (A) 8 (B) 6 (C) 4 (D) 10 (E) 12
Answer: A
In a certain quiz that consists of 8 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 360 points, how many points is the third question worth? Answer Choice: (A) 39 (B) 40 (C) 44 (D) 48 (E) 52
Answer: A
The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches. Three pentagons are considered different only when the positions of the side lengths are different relative to each others. What is the total number of different possible pentagons that could be drawn using these five side lengths ? Answer Choice: (A)  5 (B)  12 (C)  24 (D)  32 (E)  120
Answer: C
a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. 3a = b = 3c, and a > 0.
What is the difference between the two greatest possible values of x?
Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one. Answer Choice: (A) 131 (B) 292 (C) 394 (D) 424 (E) 969
Answer: A
A man walking at a rate of 5km/hr crosses a bridge in 15 minutes. The length of the bridge is? Answer Choice: (A) 1250m (B) 1310m (C) 1500m (D) 1000m (E) 1195m
Answer: A
The ratio of the ages of Mini and Minakshi is 4 : 3. The sum of their ages is 14 years. The ratio of their ages after 8 years will be Answer Choice: (A) 5 : 3 (B) 8 : 11 (C) 8 : 7 (D) 6 : 5 (E) 3 : 11
Answer: C
If x is a sum of all even integers on the interval 13...45 and y is their number, what is the GCD (x, y)? Answer Choice: (A)  1 (B)  16 (C)  26 (D)  52 (E)  1014
Answer: B
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2445? Answer Choice: (A) s.800 (B) s.810 (C) s.815 (D) s.900 (E) s.920
Answer: C
800 men have provisions for 20 days. If 200 more men join them, for how many days will the provisions last now? Answer Choice: (A) 10 (B) 8 (C) 16 (D) 11 (E) 15
Answer: C
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 25%? Answer Choice: (A) 20% (B) 25% (C) 13 % (D) 12.5% (E) 13%
Answer: D
The distance between two planets is 3.00 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years) Answer Choice: (A)  9.3 × 10^5 (B)  9.2 × 10^5 (C)  9.3 × 10^7 (D)  9.9 × 10^7 (E)  10.1 × 10^8
Answer: B
The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone. Answer Choice: (A) 33 (B) 77 (C) 48 (D) 99 (E) 61
Answer: C
The average weight of a group of boys is 35 kg. After a boy of weight 40 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: B
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is? Answer Choice: (A) 60 (B) 88 (C) 77 (D) 65 (E) 21
Answer: A
A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item Answer Choice: (A) Rs. 660 (B) Rs. 760 (C) Rs. 860 (D) Rs. 960 (E) None of these
Answer: D
An alloy is to contain copper and zinc in the ratio 7 : 3. The zinc required (in kg) to be melted with 35 kg of copper, is? Answer Choice: (A) 10 and 2/3 (B) 15 (C) 9 and 2/3 (D) 9 (E) 10
Answer: B
In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students? Answer Choice: (A) 40% (B) 80% (C) 58% (D) 50% (E) 60%
Answer: D
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election? Answer Choice: (A) 45% (B) 50% (C) 57% (D) 60% (E) 65%
Answer: C
If the President and Vice President must sit next to each other in a row with 8 other members of the Board, how many different seating arrangements are possible? Answer Choice: (A) 120510 (B) 632010 (C) 725760 (D) 705262 (E) 851032
Answer: C
A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.204 less than the sum lent. What was the sum lent? Answer Choice: (A) 228 (B) 278 (C) 300 (D) 500 (E) 821
Answer: C
On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 18. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C? Answer Choice: (A) (2, -16) (B) (-5, -8) (C) (12, 4) (D) (3, 5) (E) (9, -4)
Answer: E
Product of two natural numbers is 19. Then, the sum of reciprocals of their squares is Answer Choice: (A) 290/289 (B) 1/289 (C) 290/90 (D) 362/361 (E) None of these
Answer: D