loafeihong/math_mmlu_format huggingface dataset:
The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is? Answer Choice: (A) 2368 (B) 2768 (C) 1121 (D) 4096 (E) 2687
Answer: D
A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 25 hour to row to a place and come back, how far is the place? Answer Choice: (A) 24km (B) 30km (C) 48km (D) 120km (E) 15km
Answer: D
In the rectangular coordinate system, what is the area of triangle CDE with points
C=(3,3)
D=(4,1)
E=(0,8) Answer Choice: (A) 0.75 (B) 1 (C) 0.5 (D) 0.25 (E) 1.5
Answer: C
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is? Answer Choice: (A) 25/42 (B) 25/47 (C) 25/48 (D) 25/21 (E) 25/41
Answer: A
Two-third of two-fifth of three-fourth of a number is 36. What is the square root of four-fifth of that number? Answer Choice: (A) 9 (B) 12 (C) 14 (D) 16 (E) 18
Answer: B
If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $56. If $2,000 is the total amount invested, how much is invested at 10 percent? Answer Choice: (A) a. $280 (B) b. $800 (C) c. $892 (D) d. $1108 (E) e. $1200
Answer: E
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 8 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? Answer Choice: (A) s.7248 (B) s.4518 (C) s.4518 (D) s.4530 (E) s.4517
Answer: A
The first doughnut is priced at $1 and then if you purchase additional doughnuts as dozens then the price is $6/dozen. What is the total number of doughnuts purchased if you paid $21? Answer Choice: (A) 33 (B) 35 (C) 37 (D) 39 (E) 41
Answer: D
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is? Answer Choice: (A) Rs.544 (B) Rs. 8112 (C) Rs.820 (D) Rs.639 (E) Rs.897
Answer: B
If k > 0, x + 2k = y, and y + 5k = z, what is the ratio between z - x and y - x ? Answer Choice: (A) 3 to 1 (B) 3 to 2 (C) 4 to 3 (D) 7 to 2 (E) 5 to 3
Answer: D
Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them? Answer Choice: (A) 29.25 (B) 29.28 (C) 39.25 (D) 29.21 (E) 29.22
Answer: A
Two pipes P and Q can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe P is turned off. What is the total time required to fill the tank? Answer Choice: (A) 10 min (B) 12 min (C) 14 min 40 sec (D) 15 min 30 sec (E) 18 min
Answer: C
If f(2, 3) = 17 and f(2, 4) = 24, what is the value of f(2, 5)? Answer Choice: (A) 107 (B) 127 (C) 147 (D) 33 (E) Cannot be determined
Answer: D
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.4 km respectively. The time taken by the slower train to cross the faster train in seconds is? Answer Choice: (A) 12 (B) 77 (C) 48 (D) 99 (E) 36
Answer: E
A boat covers a certain distance downstream in I hour, while it comes back in 1½ hours. If the speed of the stream be 3 kmph. what is the speed of the boat in still Water? Answer Choice: (A) 12kmph (B) 13kmph (C) 15kmph (D) 16kmph (E) None
Answer: C
How many integers k greater than 100 and less than 600 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99? Answer Choice: (A) 40 (B) 60 (C) 70 (D) 80 (E) 90
Answer: A
In a container there are two solutions; solution A and solution B in the ratio of 3 : 4. If 8 litres of solution A is added, the ratio becomes 11:12. What is the total quantity in the container after adding the extra 8 litres ? Answer Choice: (A) 96 liters (B) 104 liters (C) 94 liters (D) 92 liters (E) 112 liters
Answer: D
The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year? Answer Choice: (A) 1277 (B) 2977 (C) 1200 (D) 2769 (E) 1971
Answer: C
How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction? Answer Choice: (A) 50 sec (B) 16 sec (C) 31 sec (D) 26 sec (E) 25 sec
Answer: A
Jill has 35 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars? Answer Choice: (A) 3 (B) 60 (C) 9 (D) 12 (E) 14
Answer: B
The digital sum of a number is the sum of its digits. For how many of the positive integers 24-90 inclusive is the digital sum a multiple of 7? Answer Choice: (A) 10 (B) 8 (C) 14 (D) 16 (E) 20
Answer: A
In a camp, there is a meal for 80 men or 200 children. If 135 children have taken the meal, how many men will be catered to with remaining meal? Answer Choice: (A) 41 (B) 35 (C) 26 (D) 48 (E) 49
Answer: C
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 18 seconds. Find the length of the faster train? Answer Choice: (A) 270 (B) 277 (C) 187 (D) 180 (E) 271
Answer: D
2+2+ 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 = Answer Choice: (A)  2^9 (B)  2^10 (C)  2^12 (D)  2^16 (E)  2^20
Answer: A
During a sale, a store sells 20 percent of its remaining stock each day, without replenishment. After four days, what fraction of its original stock has it sold? Answer Choice: (A) 1/625 (B) 256/625 (C) 61/125 (D) 64/125 (E) 369/625
Answer: E
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective. Answer Choice: (A) 1/127 (B) 1/191 (C) 1/138 (D) 1/132 (E) 1/126
Answer: E
From a group of 3 balls and 3 bats, 4 are to be randomly selected. What is the probability that equal numbers of balls and bats will be selected? Answer Choice: (A) 1/5 (B) 2/5 (C) 4/5 (D) 1 (E) 3/5
Answer: E
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house? Answer Choice: (A) 243 (B) 255 (C) 256 (D) 287 (E) 300
Answer: B
Find the value of (√1.21)/(√0.81) + (√1.00)/(√0.49) is Answer Choice: (A) 2.65 (B) 145/63 (C) 155/63 (D) 125/63 (E) 185/63
Answer: A
A car travels at a speed of 60 miles per hour. How far will it travel in 5 hours? Answer Choice: (A) 425 miles (B) 625 miles (C) 300 miles (D) 225 miles (E) 625 miles
Answer: C
The calendar for the year 2007 will be the same for the year Answer Choice: (A) 2017 (B) 2018 (C) 2014 (D) 2016 (E) None of these
Answer: B
The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994, is Rs. 18 per kg. The inflation rate for the years 1994 and 1995 are expected to be 6% each. The expected price of sugar on January 1, 1996 would be Answer Choice: (A) 20.99 (B) 21.9 (C) 25.4 (D) 20.19 (E) None of these
Answer: A
If [P] denotes the least integer greater than or equal to P and [P] = 0, which of the following statements must be true? Answer Choice: (A) P = 0 (B) -1 < P <= 0 (C) 0 < P <= 1 (D) -1 <= P < 0 (E) 0 <= P < 1
Answer: B
A man can row 24 kmph in still water. It takes him thrice as long to row up as to row down the river. Find the rate of the stream? Answer Choice: (A) 6 (B) 12 (C) 18 (D) 15 (E) 20
Answer: B
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a girl sitting at window seat in the slower train in 32 seconds. Find the length of the faster train ? Answer Choice: (A) 170 m (B) 100 m (C) 270 m (D) 320 m (E) None of these
Answer: D
If a man can cover 10 metres in one second, how many kilometres can he cover in 3 hours 45 minutes? Answer Choice: (A) 288 (B) 162 (C) 145 (D) 135 (E) 130
Answer: D
A certain fraction is equivalent to 2/5. If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1/3. What is the difference of the numerator and denominator of the original fraction? Answer Choice: (A)  49 (B)  9 (C)  28 (D)  26 (E)  21
Answer: B
A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number R of ways this can be done is: Answer Choice: (A) 122 (B) 210 (C) 216 (D) 217 (E) 225
Answer: C
Two employees A and B are paid a total of Rs. 550 per week by their employer. If A is paid 120 percent of the sum paid to B, how much is B paid per week? Answer Choice: (A) Rs.130 (B) Rs.140 (C) Rs.150 (D) Rs.250 (E) Rs.280
Answer: D
wo passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Answer Choice: (A) 227 (B) 444 (C) 277 (D) 298 (E) 212
Answer: B
Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 49 years. The age of E is? Answer Choice: (A) 45 (B) 47 (C) 48 (D) 49 (E) 46
Answer: A
A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 16 heads and 45 legs. How many cats does the ship host? Answer Choice: (A) 3 (B) 6 (C) 9 (D) 8 (E) 7
Answer: E
When the positive integer k is divided by the positive integer n , the remainder is 11. If k/n = 61.2 , what is the value of n? Answer Choice: (A) 9 (B) 20 (C) 65 (D) 70 (E) 81
Answer: C
The surface area of a sphere is 4πR^2, where R is the radius of the sphere. If the surface area of sphere A is eight times as large as the surface area of sphere B, then the radius of sphere A is how many times the radius of sphere B? Answer Choice: (A) 2 (B) 2√2 (C) 4 (D) 2π (E) π·√8
Answer: B
A sum of Rs. 2717 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum? Answer Choice: (A) 1642 (B) 1672 (C) 1632 (D) 2789 (E) 6386
Answer: B
A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many Q ways can the test be completed if every question is unanswered? Answer Choice: (A) 24 (B) 120 (C) 625 (D) 720 (E) 1024
Answer: C
Salad dressing P is made up of 30% vinegar and 70% oil, and salad dressing Q contains 10% vinegar and 90% oil. If the two dressings are combined to produce a salad dressing that is 20% vinegar, dressing P comprises what percentage of the new dressing? Answer Choice: (A) 60% (B) 50% (C) 40% (D) 30% (E) 20%
Answer: B
A small company reduced its faculty by approximately 13 percent to 195 employees. What was the original number of employees? Answer Choice: (A) 182 (B) 208 (C) 220 (D) 224 (E) 302
Answer: D
A factory has a fixed cost of $43,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly? Answer Choice: (A) 9,000 (B) 14,000 (C) 17,200 (D) 22,500 (E) 27,000
Answer: C
85% of the employees in a multinational corporation have VCD players, 75 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets? Answer Choice: (A) (a) 15% (B) (b) 5% (C) (c) 10% (D) (d) 20% (E) (e) 25%
Answer: E
There are 17 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station? Answer Choice: (A) 156 (B) 167 (C) 157 (D) 342 (E) 380
Answer: D
In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings? Answer Choice: (A) 5/21 (B) 3/7 (C) 4/7 (D) 5/7 (E) 16/21
Answer: E
Village X has a population of 78000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal? Answer Choice: (A) 15 (B) 19 (C) 11 (D) 18 (E) 13
Answer: D
Find the average of the series : 312, 162, 132, 147 and 122? Answer Choice: (A) 170 (B) 175 (C) 180 (D) 185 (E) 195
Answer: B
In 1979 approximately 1/3 of the 38.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport and 4 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year? Answer Choice: (A)  18.6 (B)  9.3 (C)  6.2 (D)  3.1 (E)  1.6
Answer: E
583 is related to 293 in the same way as 488 is related to Answer Choice: (A) 2338 (B) 378 (C) 277 (D) 299 (E) 271
Answer: B
When the positive integer k is divided by the positive integer n , the remainder is 13. If k/n = 81.2 , what is the value of n? Answer Choice: (A) 9 (B) 20 (C) 55 (D) 70 (E) 81
Answer: B
How many odd three-digit integers greater than 800 are there such that all their digits are different? Answer Choice: (A) 40 (B) 56 (C) 72 (D) 81 (E) 104
Answer: C
Square M is inscribed in circle N. If the perimeter of M is 20, what is the circumference of N? Answer Choice: (A) 33√ 2π (B) 2√ 2π (C) 6√ 2π (D) 7√ 2π (E) 5√ 2π
Answer: E
Which of the following is non negative? Answer Choice: (A) (c-0.9)(c-1) (B) (c+1)(c-1) (C) (c-0.9)(c-0.9) (D) (c-0.9)(c+0.9) (E) c(c+1)
Answer: C
Evaluate: 40 - 12÷6×2 = Answer Choice: (A) A)24 (B) B)36 (C) C)48 (D) D)60 (E) E)72
Answer: B
The mall charges 50 cents for the first hour of parking and $3 for each additional hour until the customer reaches 4 hours, after that the parking fee is $1 per hour. If a certain customer parked his in the mall for 7 hours and 30 minutes, how much is he going to pay? Answer Choice: (A) $11.5. (B) $12. (C) $13. (D) $14.5 (E) $15.
Answer: C
A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 80 percent of books that were loaned out are returned and there are 66 books in the special collection at that time, how many books of the special collection were loaned out during that month? Answer Choice: (A) 20 (B) 30 (C) 35 (D) 45 (E) 55
Answer: D
Find a 6-digit integer abcdef with the following properties:
Take the rightmost digit and place it in front of the integer to form a new number (abcdef --> fabcde).
The new one is the product of the old one and the shifted digit (fabcde = f*abcdef).
What was the original integer? Answer Choice: (A) 122564 (B) 102564 (C) 142564 (D) 102574 (E) 102566
Answer: B
A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 840 in 4 years. The sum is? Answer Choice: (A) s. 780 (B) s. 638 (C) s. 650 (D) s. 730 (E) s. 735
Answer: A
In how many different number of ways 3 boys and 2 girls can sit on a bench? Answer Choice: (A) 700 (B) 710 (C) 120 (D) 300 (E) 720
Answer: C
A committee has 4 men and 7 women. What are the number of ways of selecting 2 men and 4 women from the given committee? Answer Choice: (A) 125 (B) 150 (C) 180 (D) 210 (E) 225
Answer: D
A train is moving at a speed of 132 km/hr. If the length of the train is 110m, how long will it take to cross a railway platform 165m long? Answer Choice: (A) 8 sec (B) 9 sec (C) 7 1/2 sec (D) 10 sec (E) None
Answer: C
What percent is 70 of 280? Answer Choice: (A) 12 % (B) 25 % (C) 26 % (D) 27 % (E) 28 %
Answer: B
An air conditioner can coo the hall in 25 minutes while another takes 30 minutes to cool under similar conditions. if both air conditioners are switched on at same instance then how long will it take to cool the room? Answer Choice: (A) about 16 minutes (B) about 24 minutes (C) about 14 minutes (D) about 34 minutes (E) about 4 minutes
Answer: C
A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 8 more days. How many days would it have taken the second carpenter to do the complete job working alone? Answer Choice: (A) 4 2/3 (B) 7 (C) 9 (D) 14 (E) 28
Answer: E
A man can row 8 kmph in still water. When the river is running at 2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man? Answer Choice: (A) 5.75 (B) 5.7 (C) 7.5 (D) 5.74 (E) 5.71
Answer: C
For her customer feedback score, Jess wants to average at or above an 8.0 rating. For the month of June, she received the following scores: 5, 8, 8, 7, 9, 10, 6, 6, 8 and 7. By what percent did she fall short of her goal? Answer Choice: (A)  4% (B)  7.5% (C)  8% (D)  10% (E)  12%
Answer: B
The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is? Answer Choice: (A) 8 ml (B) 5 ml (C) 4 ml (D) 6 ml (E) 1 ml
Answer: D
The sale price sarees listed for Rs.280 after successive discount is 12% and 8% is? Answer Choice: (A) 288 (B) 226 (C) 250 (D) 230 (E) 262
Answer: B
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 24m/h. what is the speed of the person while he was going to his office? Answer Choice: (A) 8km/h (B) 9km/h (C) 10km/h (D) 11km/h (E) 16km/h
Answer: E
A train 250 m long running at 72 kmph crosses a platform in 15 sec. What is the length of the platform? Answer Choice: (A) 50m (B) 200m (C) 250m (D) 270m (E) 300 m
Answer: A
A wholesaler wishes to sell 100 pounds of mixed nuts at $2.50 a pound. She mixes peanuts worth $3.50 a pound with cashews worth $4.00 a pound. How many pounds of cashews must she use? Answer Choice: (A) 40 (B) 45 (C) 50 (D) 55 (E) 60
Answer: E
Tough and Tricky questions: Exponents.
If 3^m3^m3^m = 8^n, then m/n = Answer Choice: (A) 1/3 (B) 2/3 (C) 1 (D) 3/2 (E) 2
Answer: E
The value of Underrot 17pi/6 + Underrot 1 is most nearly equal to which of the following integers? (Please refer to the picture below for the exact version of the question) Answer Choice: (A) 10 (B) 12 (C) 8 (D) 3 (E) 21
Answer: A
A group of 15 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase? Answer Choice: (A) (D) nE / [15(15-n)] (B)  (12 - n)/E (C)  E/[12(12-n)] (D) (A) E/(12 - n) (E)  (12-n)E/(12n)
Answer: A
Two tains of equal lengths take 10 seconds and 16 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction? Answer Choice: (A) 12 (B) 14 (C) 16 (D) 12.3 (E) 18
Answer: D
The price of a cycle is reduced by 25 % The new price is reduced by a further 20 %. The 2 reductions together are equal to a single reduction of Answer Choice: (A) 25% (B) 38% (C) 40% (D) 52% (E) 28%
Answer: C
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at? Answer Choice: (A) 12 minutes (B) 17 min (C) 19 min (D) 11 min (E) 16 min
Answer: A
A palindrome is a number that reads the same forward and backward, such as 171. How many even, 6-digit numbers are palindromes? Answer Choice: (A) 405 (B) 450 (C) 400 (D) 900 (E) 2500
Answer: C
Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is Answer Choice: (A) 2 : 3 (B) 4 : 3 (C) 6 : 7 (D) 9 : 16 (E) None
Answer: B
Two stations AA and BB are 110 km apart on a straight line. One train starts from AA at 7 am and travel towards BB at 20 km/hr speed. Another train starts from BB at 8 am and travel towards AA at 25 km/hr speed. At what time will they meet? Answer Choice: (A) 9 am (B) 10 am (C) 11 am (D) 12 am (E) None of these
Answer: B
Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $3,600. How much would he have spent if he had bought only the 28 inch and 30 inch TVs? Answer Choice: (A) 850 (B) 1,100 (C) 1,800 (D) 2,550 (E) 3,400
Answer: C
The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 10 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window seat and thw window seat is assigned randomly, what is the probability that the person will get a seat with an unobscured view? Answer Choice: (A) 1/6 (B) 1/3 (C) 2/3 (D) 5/6 (E) 17/18
Answer: C
what is the smallest integer that is multiple of 6,7 and 20 Answer Choice: (A) 141 (B) 180 (C) 130 (D) 122 (E) 420
Answer: E
The owner of a furniture shop charges his customer 25% more than the cost price. If a customer paid Rs. 1000 for a computer table, then what was the cost price of the computer table? Answer Choice: (A) 620 (B) 400 (C) 45 (D) 500 (E) 800
Answer: E
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas? Answer Choice: (A) 81 : 121 (B) 9 : 11 (C) 729 : 1331 (D) 27 : 121 (E) None of these
Answer: A
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is? Answer Choice: (A) 153600 (B) 155600 (C) 156600 (D) 157000 (E) 158000
Answer: A
The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes up 216° of the circle, what percentage of MegaTek employees are in manufacturing? Answer Choice: (A) 20% (B) 25% (C) 30% (D) 35% (E) 60%
Answer: E
A car traveled 300 meters from point A to point B at a speed of 6 meter per second. Then it took the same route and came back to point A at a speed of 2 meter per second. What is its average speed? Answer Choice: (A) 2m/s (B) 3m/s (C) 4m/s (D) 5m/s (E) 6m/s
Answer: B
The U.S. Defense Department has decided that the Pentagon is an obsolete building and that it must be replaced with an upgraded version: the Hexagon. The Secretary of Defense wants a building that is exactly 70 feet high and 200 feet on a side, and that has a hexagonal bull's-eye cutout in the center (somewhat like the current one) that is 25 feet on a side. What will be the volume of the new building in cubic feet? Answer Choice: (A) 3,937,500 cubic feet (B) 15,750 cubic feet (C) 11550√3 cubic feet (D) 7,160,947 cubic feet (E) 3,937,500√3 cubic feet
Answer: D
An outlet pipe empties a tank which is full in 10 hours. If the inlet pipe is kept open, which lets water in at the rate of 16 litres/min then outlet pipe would take 8 hours longer. Find the capacity of the tank. Answer Choice: (A) 8600 litres (B) 200 litres (C) 21600 litres (D) 11200 litres (E) 13200 litres
Answer: C
In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is? Answer Choice: (A) 15 (B) 18 (C) 20 (D) 25 (E) 26
Answer: C