loafeihong/math_mmlu_format huggingface dataset:
A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 276 metres long in 20 seconds. The length of the train (in metres) is: Answer Choice: (A) 184 (B) 176 (C) 175 (D) 96 (E) None of these
Answer: A
Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 2? Answer Choice: (A) y = -1/2*x + 3 (B) y = 1/2*x - 2 (C) y = 1/2*x + 3 (D) y = 2x + 3 (E) y = 2x − 3
Answer: B
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 66 km downstream? Answer Choice: (A) 30/83 hours (B) 33/13 hours (C) 31/13 hours (D) 30/13 hours (E) 30/14 hours
Answer: B
A rectangular grass field is 60 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m? Answer Choice: (A) 1350 (B) 1200 (C) 9676 (D) 1679 (E) 2691
Answer: B
The probability that an electronic device produced by a company does not function properly is equal to 0.1. If 10 devices are bought, then the probability, to the nearest thousandth, that 7 devices function properly is Answer Choice: (A) 0.057 (B) 0.478 (C) 0.001 (D) 0 (E) None
Answer: A
What is the smallest positive perfect square that is divisible by 12, 14, and 42? Answer Choice: (A) 900 (B) 1089 (C) 1600 (D) 1764 (E) 2025
Answer: D
If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price? Answer Choice: (A) 16 2/3% (B) 16 4/3% (C) 16 7/3% (D) 16 6/3% (E) 16 2/3%
Answer: A
4 dice are thrown simultaneously on the board. Find the probability show the same face. Answer Choice: (A) 1/211 (B) 2/211 (C) 1/216 (D) 3/211 (E) 4/215
Answer: C
15 people entered a theater before Sujit. 7 people entered the theater between Sujit and Suraj and 20 people entered the theater after Suraj. How many people are there in the theater? Answer Choice: (A) 28 (B) 36 (C) 44 (D) 40 (E) Cannot be determined.
Answer: E
Z is the set of the first n positive odd numbers, where n is a positive integer. Given that n > k, where k is also a positive integer, x is the maximum value of the sum of k distinct members of Z, and y is the minimum value of the sum of k distinct members of Z, what is x + y? Answer Choice: (A) kn (B) kn + k^2 (C) kn + 2k^2 (D) 2kn – k^2 (E) 2kn
Answer: E
The average age of 30 students of a class is 20 years. Out of these, the average age of 10 students is 16 years and that of the other 19 students is 22 years. The age of the 30th student is: Answer Choice: (A) 22 years (B) 24 years (C) 15 years (D) 16 years (E) None of these
Answer: A
The volumes of two cones are in the ratio 1 : 20 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire? Answer Choice: (A) 4:5 (B) 4:9 (C) 4:2 (D) 5:2 (E) 2:8
Answer: A
25 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus? Answer Choice: (A) None of these (B) 600 (C) 12 (D) 24 (E) 42
Answer: B
A shipment of 8 TV sets contains 1 black and white sets and 7 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set? Answer Choice: (A) 1/7 (B) 1/4 (C) 5/14 (D) 11/28 (E) 13/28
Answer: B
How long is an IPv6 address? Answer Choice: (A) 32 bits (B) 128 bits (C) 64 bits (D) 128 bytes (E) 28 bytes
Answer: B
A certain industrial loom weaves 0.127 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth? Answer Choice: (A) 114 (B) 115 (C) 116 (D) 117 (E) 118
Answer: E
A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident Answer Choice: (A) 30% (B) 35% (C) 40% (D) 45% (E) None of these
Answer: B
The length of a rectangular plot is thrice its width. If the area of the rectangular plot is 507 sq meters, then what is the width (in meters) of the rectangular plot? Answer Choice: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15
Answer: C
If 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days? Answer Choice: (A) 33 (B) 27 (C) 72 (D) 69 (E) 22
Answer: C
Find the invalid no.from the following series 9, 16, 21, 28, 33, 37 Answer Choice: (A) 13 (B) 18 (C) 40 (D) 37 (E) 25
Answer: D
If 125(5^y) = 1 then y= Answer Choice: (A) –2 (B) –1 (C) 0 (D) 1 (E) -3
Answer: E
How long does a train 105 m long running at the speed of 68 km/hr takes to cross a bridge 90 m length? Answer Choice: (A) 13.9 sec (B) 10.7 sec (C) 17.9 sec (D) 61.9 sec (E) 47.98 sec
Answer: B
In Parkin's company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company? Answer Choice: (A) 43.0 (B) 45.5 (C) 46.0 (D) 49.0 (E) 50.0
Answer: A
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? Answer Choice: (A) 720 (B) 620 (C) 520 (D) 820 (E) 420
Answer: A
A driver just filled the car's gas tank with 36 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance? Answer Choice: (A) 1 (B) 1.5 (C) 2 (D) 2.5 (E) 3
Answer: C
In a class, the average age of 42 boys is 12 years and the average of 28 girls is 10 years. what is the average age of the whole class? Answer Choice: (A) 11.2 Years (B) 12.6 Years (C) 13 Years (D) 13.5 Years (E) 14 Years
Answer: A
A child crawls 20 ft towards north , turns right and crawls 30 ft, turns right again and crawls 35 ft. He turns left now and crawls 15 ft. He turns left again and crawls 15 ft . Finally he turns to his left to crawl another 15 ft. how far is he from his starting point and in which direction? Answer Choice: (A) 45 ft north-east (B) 30 ft east (C) 30 ft west (D) 15 ft west (E) None
Answer: B
In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet? Answer Choice: (A) 168. (B) 80. (C) 56. (D) 48. (E) 16.
Answer: B
In how many ways can the letters of the word SPHERICAL be arranged such that all the vowels always appear together? Answer Choice: (A) 9!*6! (B) 9! (C) 7!*3! (D) 9!*3! (E) 6!*3!
Answer: C
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 2.5 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) 3600 (E) 2799
Answer: D
In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is : Answer Choice: (A) 5 (B) 6 (C) 7 (D) 10 (E) 12
Answer: C
Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank? Answer Choice: (A) 12 (B) 16 (C) 14 (D) 13 (E) 17
Answer: B
A man swims downstream 40 km and upstream 16 km taking 4 hours each time, what is the speed of the man in still water? Answer Choice: (A) 7 (B) 7.5 (C) 6.8 (D) 7.8 (E) 8.0
Answer: B
A river boat leaves Silver Town and travels upstream to Gold Town at an average speed of 6 kilometers per hour. It returns by the same route at an average speed of 3 kilometers per hour. What is the average speed for the round-trip in kilometers per hour? Answer Choice: (A) 4.0 (B) 3.8 (C) 7.2 (D) 7.5 (E) 8.0
Answer: A
How much 60% of 50 is greater than 40% of 30? Answer Choice: (A) 18 (B) 45 (C) 74 (D) 96 (E) 32
Answer: A
A train 440 meters long is running with a speed of 60 kmph. The time taken by it to cross a tunnel 180 meters long is? Answer Choice: (A) 40.33 sec (B) 41.33 sec (C) 37.2 sec (D) 40 sec (E) 44.33 sec
Answer: C
If 35 percent of 400 is 20 percent of x, then what is 70 percent of x? Answer Choice: (A) 200 (B) 490 (C) 700 (D) 900 (E) 1,400
Answer: B
A worker can load one truck in 6 hours. A second worker can load the same truck in 4 hours. If both workers load one truck simultaneously while maintaining their constant rates, how long, in hours, will it take them to fill one truck? Answer Choice: (A) 2.1 (B) 2.4 (C) 2.7 (D) 3.0 (E) 3.3
Answer: B
On a certain number line, conditions are a<b<c<d<0 and abcd>0. Which of the following must be true?
I ab>0 II cd>0 III de>0 Answer Choice: (A) I &II only (B) II only (C) III only (D) I only (E) II and III only
Answer: A
If a and b are different values and a – b = 4(√a - √b), then in terms of b, a equals: Answer Choice: (A) √b (B) b (C) b - 8√b + 16 (D) b + 2√b + 1 (E) b^2 – 2b√b + b
Answer: C
If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 1? Answer Choice: (A) -1 (B) 0 (C) 1 (D) 2 (E) 3
Answer: D
How many times digit 5 is used while writing numbers from 1 to 500? Answer Choice: (A) 103 (B) 98 (C) 94 (D) 105 (E) 100
Answer: E
Peter got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Peter’s sister was 10 years younger to him at the time of his marriage. The age of Peer’s sister is: Answer Choice: (A) 32 (B) 36 (C) 38 (D) 39 (E) 40
Answer: C
Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.6 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos? Answer Choice: (A) 7/17 (B) 14/31 (C) 7/15 (D) 17/35 (E) 1/2
Answer: E
If x is an integer and 2.134 × 10^x is less than 240,000, what is the greatest possible value for x? Answer Choice: (A) 7 (B) 6 (C) 5 (D) 4 (E) 3
Answer: C
The population of a bacteria culture doubles every 4 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria Answer Choice: (A) 10 (B) 12 (C) 14 (D) 36 (E) 18
Answer: D
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage? Answer Choice: (A) 33 (B) 50 (C) 99 (D) 88 (E) 66
Answer: B
Find the no.of ways of arranging the boy and 10 guests at a circular table so that the boy always sits in a particular seat? Answer Choice: (A) 10! (B) 9! (C) 8! (D) 6! (E) 7!
Answer: A
Jill, who lives in City C, plans to visit 6 different cities, M,N,O,P, L, and S. She plans to visit each city exactly once and return to City C after the 6 visits. She can visit the cities in any order. In how many different orders can she visit the 6 cities? Answer Choice: (A)  3 (B)  720 (C)  800 (D)  900 (E)  12
Answer: B
What number has a 4:1 ratio to the number 100? Answer Choice: (A) 40 (B) 200 (C) 400 (D) 800 (E) 4000
Answer: C
If cement, gravel and sand are to be mixed in 7:10:13 and 6 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available. Answer Choice: (A) 25 5/7 (B) 36 (C) 34 2/7 (D) 34 5/7 (E) 34 6/7
Answer: A
If a truck is traveling at a constant rate of 108 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters) Answer Choice: (A) 20 (B) 24 (C) 30 (D) 36 (E) 48
Answer: A
Find the value of y from (12)^3 x 6^4 ÷ 432 = y? Answer Choice: (A) 6434 (B) 4673 (C) 7684 (D) 7658 (E) 5184
Answer: E
The probability of pulling a black ball out of a glass jar is 1/V. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar? Answer Choice: (A) 1/(XY) (B) V/Y (C) Y/X (D) 1/(X+Y) (E) 1/(X-Y)
Answer: B
The two lines y = x and x = -7 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z? Answer Choice: (A) 16 (B) 8√2 (C) 8 (D) 7/√2 (E) (√2)/3
Answer: D
How many integers between 100 and 200, inclusive, cannot be evenly divided by 3 nor 5? Answer Choice: (A) 46 (B) 48 (C) 50 (D) 52 (E) 54
Answer: E
At a certain conference, 150 students spoke one or more of the following languages: Spanish, English, and French. If 63 students spoke Spanish, 90 spoke English, 65 spoke French, and 32 spoke only 2 languages, how many students spoke three different languages? Answer Choice: (A) 7 (B) 9 (C) 12 (D) 15 (E) 18
Answer: E
A man can row 6 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) 4.58 kms (B) 6.35 kms (C) 5.76 kms (D) 5.24 kms (E) 5 kms
Answer: C
Find the simple interest on Rs.945 for 5 months at 4 paisa per month? Answer Choice: (A) s.325 (B) s.500 (C) s.200 (D) s.189 (E) s.211
Answer: D
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 27 km/hr in the same direction. In how much time will the train pass the jogger? Answer Choice: (A) 76 sec (B) 72 sec (C) 98 sec (D) 36 sec (E) 23 sec
Answer: B
Five people are running in a race. The first one to finish wins a gold medal, the second wins a silver medal and the third wins a bronze medal. How many different arrangements of medal winners, in order from first to third, are possible? Answer Choice: (A) 5 (B) 10 (C) 60 (D) 120 (E) 125
Answer: C
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child? Answer Choice: (A) 6 years (B) 9 years (C) 9 years (D) 4 years (E) 3 years
Answer: D
In how many ways the word "KIT" can be arranged? Answer Choice: (A) 6 (B) 8 (C) 18 (D) 21 (E) 24
Answer: A
A letter lock consists of three rings each marked with seven different letters. The number of distinct unsuccessful attempts to open the lock is at the most? Answer Choice: (A) 342 (B) 269 (C) 215 (D) 177 (E) 123
Answer: A
interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes: Answer Choice: (A) 10% (B) 10.25% (C) 10.6% (D) 10.75% (E) 11%
Answer: B
What is the remainder when 1031*1047*1050*1053 is divided by 33? Answer Choice: (A) 3 (B) 24 (C) 30 (D) 21 (E) 18
Answer: B
If k is an integer and 0.0010101 x 10^k is greater than 10, what is the least possible value of k? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: C
Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 10 cms? Answer Choice: (A) 187 (B) 476 (C) 268 (D) 2975 (E) 276
Answer: D
In the interior of a forest, a certain number of apes equal to the square of one-fifthhth of the total number are playing and having great fun. The remaining four apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. What is the total number of apes? Answer Choice: (A) 48 (B) 16 (C) 5 or 20 (D) 80 (E) 16 or 48
Answer: C
If a : b = 2 : 3 and b : c = 5 : 7, then find a : b : c Answer Choice: (A) 12 : 15 : 9 (B) 10 : 15 : 21 (C) 14 : 12 : 21 (D) 2 : 15 : 7 (E) 3 : 16 : 9
Answer: B
Alex is shuffling a pack of cards (54 cards in total) and after some time, he takes out a joker card.
Now, he splits the remaining cards into two piles. Can you find out the probability where one of the piles has a sequence of card from A to K in order? Answer Choice: (A) 5/6227020800 (B) 4/6227020800 (C) 3/6227020800 (D) 1/6227020800 (E) 2/6227020800
Answer: D
30^10 / 90^5=? Answer Choice: (A) 6^5 (B) 5^6 (C) 3^6 (D) 10^5 (E) 15^3
Answer: D
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p? Answer Choice: (A) 100p/(125-p) (B) 150p/(250-p) (C) 300p(375-p) (D) 400p(500-p) (E) 500p/(625-p)
Answer: D
A is thrice as good work than as B. Together they can finish a work in 6 days.In how many days A alone do the work? Answer Choice: (A) 6 days (B) 10 days (C) 13 days (D) 2 days (E) 5 days
Answer: A
A bowl was filled with 10 ounces of water, and 0.008 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period? Answer Choice: (A) 0.004% (B) 0.04% (C) 0.40% (D) 4% (E) 40%
Answer: D
The sale price sarees listed for Rs.450 after successive discount is 20% and 15% is? Answer Choice: (A) 321 (B) 276 (C) 306 (D) 265 (E) 162
Answer: C
Machine A and machine B process the same work at different rates. Machine C processes work as fast as Machines A and B combined. Machine D processes work three times as fast as Machine C; Machine D’s work rate is also exactly four times Machine B’s rate. Assume all four machines work at fixed unchanging rates. If Machine A works alone on a job, it takes 7 hours and 20 minutes. If all four machines work together on the same job simultaneously, how many minutes will it take all of them to complete it? Answer Choice: (A) 20 (B) 22 (C) 24 (D) 26 (E) 28
Answer: B
Susan rolls 4 six-sided dice at once to win a bet with her neighbour Jeff. If all 4 dice return the same number after only one roll, Susan wins her bet. What is the probability that Susan LOSES the bet? Answer Choice: (A) Less than 50% (B) Between 50% and 70% (C) Between 70% and 90% (D) Between 90% and 99% (E) Greater than 99%
Answer: E
First column specifies the No of Days prior to departure information. Second column specifies the Percentage discount offered.
0 - 6 days ==> 0%
7 - 13 days ==> 10%
14 - 29 days ==> 25%
30 days or more ==> 40%
The table above shows the discount structure for advanced purchase of tickets at a particular airline. A passenger bought a ticket at this airline for $ 1050. The ticket agent informed her that, had she purchased the ticket one day later, she would have paid $210 more. How many days before her departure did she purchase her ticket. Answer Choice: (A) 6 (B) 7 (C) 13 (D) 14 (E) 29
Answer: D
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Answer Choice: (A) 227 (B) 267 (C) 128 (D) 860 (E) 179
Answer: D
The ratio of the amount of the oil bill for the month of February to the amount of the oil bill for the month of January was 3:2. If the oil bill for February had been $20 more, the corresponding ratio would have been 5:3. How much was the oil bill for January? Answer Choice: (A) $100 (B) $120 (C) $140 (D) $160 (E) $180
Answer: B
A rectangular tank can hold k litres of water.How many litres of water can tank hold if all dimensions doubles. Answer Choice: (A) 8k liters (B) 7k litrs (C) 9k litrs (D) 5k litrs (E) 6k litrs
Answer: A
A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $4680. What is the average monthly balance maintained by John in his
account during the year? Answer Choice: (A)  2840 (B)  5680 (C)  23400 (D)  7540 (E)  28400
Answer: C
A train crosses a bridge of length 150 m in 7.5 seconds and a lamp post on the bridge in 2.5 seconds. What is the length of the train in metres? Answer Choice: (A) 37.5 m (B) 75 m (C) 25 m (D) 80 m (E) 30 m
Answer: B
John invested $ 10,000 in a savings bank account that earned 2% simple interest. Find the interest earned if the amount was kept in the bank for 4 years. Answer Choice: (A) 600 (B) 800 (C) 850 (D) 900 (E) 950
Answer: B
A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $80 to incur a loss 20%? Answer Choice: (A) 45 (B) 36 (C) 40 (D) 50 (E) 48
Answer: C
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers? Answer Choice: (A) 180 (B) 170 (C) 190 (D) 175 (E) 200
Answer: A
Tomy's age 20 years hence will be thrice his age four years ago. Find Tomy's present age? Answer Choice: (A) 12 years (B) 16 years (C) 15 years (D) 17 years (E) 18 years
Answer: B
Each week, Harry is paid X dollars per hour for the first 30 hours and 1.5X dollars for each additional hour worked that week. Each week, James is paid X dollars per hour for the first 40 hours and 2X dollars for each additional hour worked that week. Last week James worked a total of 47 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week? Answer Choice: (A) 35 (B) 36 (C) 37 (D) 38 (E) 46
Answer: E
The surface of a cube is 24sq cm. Find its volume? Answer Choice: (A) 8cc (B) 9cc (C) 2cc (D) 4cc (E) 6cc
Answer: A
The age of man is three times the sum of the ages of his two sons. Eight years hence,his age will be double of the sum of the ages of his sons.The fatherâ€™s present age is : Answer Choice: (A) 40 years (B) 45 years (C) 50 years (D) 55 years (E) 72 years
Answer: E
An investor purchased 100 shares of stock X at 6 1/8 dollars per share and sold them all a year later at 18 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment? Answer Choice: (A) 189% (B) 240% (C) 280% (D) 300% (E) 380%
Answer: A
If 10 litres of an oil of Rs.50 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre? Answer Choice: (A) Rs.49.17 (B) Rs.51.03 (C) Rs.54.17 (D) Rs.55.33 (E) None of the above
Answer: D
In a certain quiz that consists of 10 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 300 points, how many points is the third question worth? Answer Choice: (A) 22 (B) 24 (C) 26 (D) 20 (E) 28
Answer: D
There are 85 doors marked with numbers 1 to 85. And there are 85 individuals marked 1 to 85.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All doors are closed to start with.
Now one at a time one randomly picked individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For e.g. individual marked with number 5 operates the doors marked with the following numbers: 5, 10, 15 ... 85.
If every individual in the group get one turn then how many doors are open at the end? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 8 (E) 9
Answer: E
A 12 month project had a total budget of $42,000. After eight months, the project had spent $23,700. At this point, how much was the project under budget? Answer Choice: (A) $4100 (B) $4300 (C) $4500 (D) $4700 (E) $4900
Answer: B
If M is the least positive integer that is divisible by every integer from 4 to 12 inclusive, then M/11 is = Answer Choice: (A)  40320 (B)  27720 (C)  20160 (D)  6720 (E)  2520
Answer: E
in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 9 people all together .how many people can sit in a bus? Answer Choice: (A) 52 (B) 49 (C) 95 (D) 90 (E) 66
Answer: D