loafeihong/math_mmlu_format huggingface dataset:
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is Answer Choice: (A) Rs.1550 (B) Rs.1650 (C) Rs.1750 (D) Rs.2000 (E) None
Answer: C
The radius of a semi circle is 35 cm then its perimeter is? Answer Choice: (A) 32.8 (B) 180 (C) 32.1 (D) 32.2 (E) 32.9
Answer: B
The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is: Answer Choice: (A) 91 (B) 37 (C) 99 (D) 277 (E) 19
Answer: A
A and B start a business with Rs.10000 and Rs.5000 respectively. Hoe should they share their profits at the end of one year? Answer Choice: (A) 1:2 (B) 3:4 (C) 2:5 (D) 3:7 (E) 2:1
Answer: E
How many possible ways are there to select 2 stocks at random from 9 stocks? Answer Choice: (A) 36 (B) 38 (C) 40 (D) 42 (E) 44
Answer: A
The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary? Answer Choice: (A) 900 (B) 950 (C) 1000 (D) 1050 (E) 1100
Answer: C
The total car population in a Chennai is 9000 out of which 5000 are made by Honda. Out of every 100 Honda cars, 90 are red in color, but only 60% of the total car population is red. Find the % of non-Honda cars that are red Answer Choice: (A) 22.5% (B) 21.5% (C) 20.5% (D) 12.5% (E) 10.5%
Answer: A
in a rectangle 8 vertical and 4 horizontal lines are drawn find the number of rectangle formed Answer Choice: (A) 674 (B) 675 (C) 676 (D) 677 (E) 679
Answer: A
A fisherman has 18 fish, then he catches 3 more fish. Now how many fish does he have? Answer Choice: (A) A)21 (B) B)15 (C) C)17 (D) D)23 (E) E)4
Answer: A
Find the next number in the Sequence
6, 10, 22, 42, ? Answer Choice: (A) 76 (B) 70 (C) 67 (D) 74 (E) 72
Answer: B
The length of a rectangular garden is three times its width. If the area of the rectangular garden is 768 square meters, then what is the width of the rectangular garden? Answer Choice: (A) 16 (B) 17 (C) 18 (D) 19 (E) 20
Answer: A
A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate? Answer Choice: (A) 20 years (B) 26 years (C) 88 years (D) 66 years (E) 12 years
Answer: A
Two trains travelling in the same direction at 40 kmph and 22 kmph completely pass each other in 1 minutes. If the length of first train is 125 m, what is the length of second train ? Answer Choice: (A) 125 m (B) 150m (C) 175 m (D) 200m (E) none of these
Answer: C
Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction? Answer Choice: (A) Rs.129 (B) Rs.120 (C) Rs.189 (D) Rs.178 (E) Rs.126
Answer: C
AMOUNT OF BACTERIA PRESENT
Time Amount
1:00 P.M. 16.0 grams
4:00 P.M. x grams
7:00 P.M. 20.4 grams
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same fraction during each of the two 3-hour periods shown, how many grams of bacteria were present at 4:00 P.M.? Answer Choice: (A) 12.0 (B) 18.1 (C) 12.2 (D) 12.3 (E) 18.0
Answer: E
What is the place value of 7 in the numeral 51468? Answer Choice: (A) 100 (B) 10 (C) 1 (D) 1000 (E) 11
Answer: D
There are three foam generators in the factory, each of the first two can generate 14 liters of foam in one hour and the third can generate 18 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated? Answer Choice: (A) 120. (B) 132. (C) 146. (D) 154. (E) 166
Answer: D
If A lends Rs.1000 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is? Answer Choice: (A) 112.5 (B) 122.5 (C) 132.5 (D) 114.5 (E) 45
Answer: E
The difference of and its reciprocal is equal to : Answer Choice: (A) 105/302 (B) 305/309 (C) 105/312 (D) 105/304 (E) 105/309
Answer: D
A and B started a business in partnership. A invested Rs. 40000 for 6 months. A received Rs.6000 as his share out of the total profit of Rs. 9000, What was the amount invested by B for the whole year? Answer Choice: (A) Rs. 8000 (B) Rs. 10000 (C) Rs. 5000 (D) Rs. 6000 (E) None of these
Answer: B
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 297 (B) 269 (C) 240 (D) 258 (E) 298
Answer: C
How many keystrokes are needed to type the numbers from 1 to 800? Answer Choice: (A) 1804 (B) 1978 (C) 2176 (D) 2292 (E) 2456
Answer: D
An army’s recruitment process included N rounds of selection tasks. For the first A rounds, the rejection percentage was 60 percent per round. For the next B rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. If there were 10000 people who applied for the army and 98 were finally selected, what was the value of N? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 10
Answer: D
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 14 minutes earlier. How far is the office from his house? Answer Choice: (A) 4 2/5 Km (B) 4 1/7 Km (C) 3 1/5 Km (D) 3 1/7 Km (E) 3 2/5 Km
Answer: A
If a child flips a coin five times in a row, what is the probability that she will receive at least one head and one tail? Answer Choice: (A) 3/4 (B) 11/12 (C) 15/16 (D) 31/32 (E) 63/64
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 25 hours respectively. The ratio of their speeds is? Answer Choice: (A) 4:6 (B) 5:3 (C) 4:9 (D) 4:4 (E) 4:2
Answer: B
A goods train runs at the speed of 72 kmph and crosses a 260 m long platform in 26 seconds. What is the length of the goods train? Answer Choice: (A) 260 m (B) 270m (C) 643m (D) 832m (E) 270m
Answer: A
10, 1000, 100000, 10000000.... Answer Choice: (A) 100,000,000 (B) 1,000,000,000 (C) 1,000,000,000,000 (D) 100 (E) 1,000,000
Answer: B
In a 400 m race,A covers the distance in 60 seconds and B in 100 second.In this race A beats B by : Answer Choice: (A) 20 m (B) 125 m (C) 120 m (D) 160 m (E) None of these
Answer: D
In the exam the average was found to be p mark. After deducting typographical error the average marks of 64 student reduced from 82 to 62 . Due to this the average came down by 16 marks. What was the number of students who took the exam? Answer Choice: (A) 100 (B) 80 (C) 90 (D) 60 (E) 160
Answer: B
The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article? Answer Choice: (A) 3:5 (B) 5:5 (C) 2:5 (D) 1:6 (E) 2:6
Answer: C
In a square , all the mid points are joined. the inner square is shaded. If the area of the square is A, what is the shaded area? Answer Choice: (A) A (B) A/2 (C) A/3 (D) A/4 (E) A/5
Answer: B
If 6 (A's capital) = 8 (B's capital) = 8 (C's capital). Then the ratio of their capitals is? Answer Choice: (A) 4:15:16 (B) 4:15:68 (C) 4:3:3 (D) 20:15:11 (E) 20:15:19
Answer: C
In bag C there are 5 books and 2 copybooks, in bag D there are 3 books and 3 copybooks. A bag is randomly picked, what is the probability of picking up a book out of bag C? Answer Choice: (A) 2/5. (B) 5/14. (C) 3/10. (D) 3/4 (E) 2/3.
Answer: B
One fourth of a solution that was 14% salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent salt by weight? Answer Choice: (A) 24% (B) 34% (C) 22% (D) 18% (E) 8.5%
Answer: C
In order to obtain an income of Rs. 450 from 10% stock at Rs. 108, one must make an investment of Answer Choice: (A) 5363 (B) 6240 (C) 4860 (D) 1987 (E) 2732
Answer: C
Find the value of (28 + 48/69) × 69 Answer Choice: (A) 1980 (B) 1982 (C) 1930 (D) 1988 (E) 1680
Answer: A
At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 30 other employees of Company K, how many employees does Company K have? Answer Choice: (A)  160 (B)  120 (C)  190 (D)  200 (E)  400
Answer: B
The following sets each have a mean of 10 and the standard deviations are given in variable form.
Set I = {7, 8, 9, 11, 12, 13}, standard deviation = P
Set II = {6, 6, 6, 14, 14, 14}, standard deviation = Q
Set III = {10, 10, 10, 10, 10, 10}, standard deviation = R
Rank these three standard deviations from least to greatest. Answer Choice: (A) P, Q, R (B) P, R, Q (C) Q, P, R (D) Q, R, P (E) R, P, Q
Answer: E
In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D Scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C scored 107 between them. How many runs did E score ? Answer Choice: (A) 62 (B) 45 (C) 28 (D) 20 (E) 25
Answer: D
Of the three-digit integers greater than 660, how many have two digits that are equal to each other and the remaining digit different from the other two? Answer Choice: (A) 47 (B) 60 (C) 92 (D) 95 (E) 96
Answer: D
If n = 30! + 29, then n is divisible by which of the following?
I. 25
II. 27
III. 29 Answer Choice: (A) I only (B) II only (C) III only (D) I and II (E) II and III
Answer: C
A man can row with a speed of 12 kmph in still water. If the stream flows at 7 kmph, then the speed in downstream is? Answer Choice: (A) 27 (B) 19 (C) 20 (D) 28 (E) 12
Answer: B
The distance between two planets is 3.08 × 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)  9.9 × 10^6 (C)  9.4 × 10^5 (D)  9.9 × 10^7 (E)  10.1 × 10^8
Answer: C
A student traveled 10 percent of the distance of the trip alone, continued another 30 miles with a friend, and then finished the last half of the trip alone. How many miles long was the trip? Answer Choice: (A) 75 (B) 100 (C) 125 (D) 150 (E) 175
Answer: A
Walking at 5/6th of its usual speed a cab is 15mnts late. Find its usual time to cover the journey? Answer Choice: (A) 25m (B) 45m (C) 32m (D) 75m (E) 62m
Answer: D
A person takes 5hrs 45 min in walking to a place and ridingback. He would have gained 2hrs by riding both ways. The time he would take to walk both ways is? Answer Choice: (A) 7 hours (B) 7 hours 30 min (C) 7 hours 35 min (D) 7 hours 45 min (E) 9 hours 35 min
Answer: D
A runs 1 ¾ times as fast as B. if A gives B a start of 84 m, bow far must winning post be so that A and B might reach it at the same time? Answer Choice: (A) 85 m (B) 98 m (C) 196 m (D) 123 m (E) 213 m
Answer: C
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount? Answer Choice: (A) 98 (B) 179 (C) 268 (D) 102 (E) 105
Answer: E
I. q-14, q, q, q, q+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following? Answer Choice: (A) I, II, III (B) I, III, II (C) II, III, I (D) III, I, II (E) III, II, I
Answer: A
10,995,1839,91635, 279570 which number is wrong in series Answer Choice: (A) 10 (B) 27950 (C) 995 (D) 1839 (E) 91635
Answer: D
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 4 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage lesser than the typical dosage? Answer Choice: (A) 8% (B) 9% (C) 11% (D) 12.5% (E) -87.5%
Answer: E
Find the 25% of Rs. 300. Answer Choice: (A) s. 50 (B) s. 70 (C) s. 100 (D) s. 80 (E) s. 75
Answer: E
Find the smallest number of five digits exactly divisible by 32,40,56 and 64. Answer Choice: (A) 11020 (B) 11030 (C) 11040 (D) 11060 (E) 11080
Answer: C
Let x be a positive integer, what is the remainder when 5^(3x+1)+5 is divided by 5? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: A
(x —1)(x + 3) > 0
(x +5)(x—4) < 0
Which of the following values of x satisfy both inequalities shown?
I. 3
II. -4
III. 2
IV. 5 Answer Choice: (A) I and II only (B) I and III only (C) II and III only (D) II and IV only (E) I, II, III,
Answer: D
A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 15 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? Answer Choice: (A) 14 (B) 16 (C) 21 (D) 22 (E) 40
Answer: E
Anintegratedteam consists of 2 members from the engineering team and 2 members from the design team. If the engineering team has 7 members and the design team has 3 members, how manyintegratedteam formations are possible? Answer Choice: (A)  36 (B)  54 (C)  63 (D)  90 (E)  112
Answer: C
A box contains seven bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good? Answer Choice: (A) 2045/2401 (B) 2121/2401 (C) 2145/2401 (D) 2345/2401 (E) 2245/2401
Answer: C
On the shelf, there are four books of poetry, four novels, and five reference works. Suppose we picked two books at random. What is the probability that we pick one novel and one reference work? Answer Choice: (A) 4/25 (B) 6/31 (C) 8/35 (D) 10/39 (E) 12/41
Answer: D
The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 48. What is a possible value for the mean of the distribution? Answer Choice: (A) 46 (B) 47 (C) 48 (D) 55 (E) 50
Answer: D
Magnabulk Corp sells boxes holding n 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) 100bn/m (B) 100m/(bn) (C) bn/(100m) (D) m/(bn) (E) bn/m
Answer: B
What is the length of a bridge (in meters), which a train 148 meters long and travelling at 45 km/h can cross in 30 seconds? Answer Choice: (A) 211 (B) 219 (C) 227 (D) 235 (E) 243
Answer: C
How many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph? Answer Choice: (A) 26 (B) 72 (C) 28 (D) 82 (E) 27
Answer: C
Calculate how many men are needed to finish a specific task in 5 days if it will take 15 men to complete the same task in 10 days. ? Answer Choice: (A) 13 (B) 16 (C) 35 (D) 25 (E) 15
Answer: E
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 9 years ago was 20 years. The present age of the husband is: Answer Choice: (A) 20 years (B) 30 years (C) 60 years (D) 32 years (E) 35 years
Answer: D
Find the average of x and y if the average (arithmetic mean) of x, y, and 30 is 10 greater than the average of x, y, 20, and 30. Answer Choice: (A) 50 (B) 75 (C) 100 (D) 125 (E) 150
Answer: B
Insert the missing number
6, 7, 9, 13, 21, ... Answer Choice: (A) 25 (B) 29 (C) 37 (D) 32 (E) 30
Answer: C
M = {9.4, 9.9, 9.9, 9.9, 10.0, 10.2, 10.2, 10.5}
The mean and standard deviation of the 8 numbers in M are 10.0 and 0.3 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean? Answer Choice: (A) 70% (B) 75% (C) 80% (D) 85% (E) 90%
Answer: B
The total circumference of two circles is 88. If the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii? Answer Choice: (A) 5.7 (B) 6.0 (C) 6.7 (D) 9.7 (E) 14.0
Answer: E
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? Answer Choice: (A) Rs.8000, Rs.17000 (B) Rs.9000, Rs.16000 (C) Rs.18000, Rs.7000 (D) Rs.10000, Rs.15000 (E) Rs.20000, Rs.15000
Answer: D
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 2000. The difference between the profit shares of A and C is? Answer Choice: (A) 621 (B) 276 (C) 236 (D) 800 (E) 211
Answer: D
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9} Answer Choice: (A) 65 (B) 77 (C) 32 (D) 32 (E) 60
Answer: E
What is the length of the longest pole which can be kept in a room 9 m long, 4 m broad and 3 m high? Answer Choice: (A) 10.29 (B) 9 (C) 11 (D) 13 (E) None
Answer: A
A retailer sells 7 shirts. The first 2 he sells for $38 and $42. If the retailer wishes to sell the 7 shirts for an overall average price of over $50, what must be the minimum average price of the remaining 5 shirts? Answer Choice: (A) $54.00 (B) $57.00 (C) $58.00 (D) $60.50 (E) $63.00
Answer: A
What is the product of all the prime factors of 15? Answer Choice: (A) 12 (B) 3 (C) 4 (D) 15 (E) 20
Answer: D
Each digit 1 through 5 is used exactly once to create a 5-digit integer. If the 1 and the 2 cannot be adjacent digits in the integer, how many 5-digit integers are possible? Answer Choice: (A)  72 (B)  66 (C)  76 (D)  78 (E)  90
Answer: A
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $400, what were her original savings? Answer Choice: (A) $1500 (B) $1600 (C) $1700 (D) $1800 (E) $1900
Answer: B
At what time between 3 and 4 o'clock the hands are in opposite direction? Answer Choice: (A) 49 1/11 min past 3 (B) 16 min past 3 (C) 2 min past 4 (D) 3 2/11 min past 3 (E) 4 2/11 min past 3
Answer: A
If the average of ten numbers is 40, then which of the following could be the standard deviation of the ten numbers?
I. 0
II. 10
III. 40 Answer Choice: (A) I (B) II (C) all three options (D) III (E) I&II
Answer: C
If all the sides of a right triangle increase in length by 30%, then by what percentage does the area of the triangle increase? Answer Choice: (A) 69% (B) 81% (C) 85% (D) 96% (E) 120%
Answer: A
In a contest, a bowl contains 12 keys, only one of which will open a treasure chest. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Anna is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that she wins the prize? Answer Choice: (A) 1/11 (B) 1/12 (C) 1/6 (D) 11/120 (E) 2/11
Answer: C
One-fifth of the cost price, one-seventh of the marked price and one-sixth of the selling price are all equal. What is the gain or loss to the trader? Answer Choice: (A) 120 % (B) 140 % (C) 162/3 % (D) 20 % (E) None
Answer: D
For every $20 that a billionaire spends, a millionaire spends the equivalent of 10 cents. For every $4 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as Answer Choice: (A) 1 : 2 : 400 (B) 1 : 4 : 100 (C) 20 : 4 : 1 (D) 100 : 4 : 1 (E) 400 : 4 : 1
Answer: A
P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings? Answer Choice: (A) 2:1 (B) 1:8 (C) 8:1 (D) 1:1 (E) 1:5
Answer: D
A group of tourists wants to visit only an even number of the four cities A, B, C, and D. How many travel itineraries can they make? All cities are connected to one another and please note that visiting the same cities in a different order counts as a different itinerary. Answer Choice: (A) 20 (B) 24 (C) 28 (D) 32 (E) 36
Answer: E
In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race? Answer Choice: (A) 190 sec (B) 120 sec (C) 130 sec (D) 210 sec (E) 220 sec
Answer: A
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent? Answer Choice: (A) 28% (B) 20% (C) 29% (D) 27% (E) 10%
Answer: B
A certain university will select 1 of 4 candidates eligible to fill a position in the mathematics department and 2 of 7 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions? Answer Choice: (A) 81 (B) 82 (C) 84 (D) 86 (E) 88
Answer: C
Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after: Answer Choice: (A) 9 (B) 7 (C) 6 (D) 5 (E) 4
Answer: A
If e is an even integer and q is an odd integer, which of the following must be an odd integer? Answer Choice: (A) e/q (B) eq (C) 2e+q (D) 2(e+q) (E) 3e/q
Answer: C
Of the 90 people in a room, 2/5 are women. If 2/3 of the people are married, what is the maximum number of women in the room who could be unmarried? Answer Choice: (A) 26 (B) 30 (C) 32 (D) 34 (E) 36
Answer: B
Matt buys a roses for his wife for rs.64.99 and then they get into a fight, so he decides to sell them for rs.74.99. Find his gain %. Answer Choice: (A) 17.92% (B) 12.46% (C) 2% (D) 15.39% (E) 16.88%
Answer: D
How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 8 cannot appear more than once in the number. Answer Choice: (A) 2200 (B) 2290 (C) 2280 (D) 2300 (E) 2375
Answer: E
In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number I and the smallest possible number of students that could have taken both geometry and biology? Answer Choice: (A) 144 (B) 119 (C) 113 (D) 88 (E) 31
Answer: D
Dhoni is 25 years older than his daughter Mary. In 10 years Ross will be twice as old as Mary. What is Mary current age. Answer Choice: (A) 14 (B) 16 (C) 17 (D) 18 (E) 15
Answer: E
The mean of 50 observations was 36. It was found later that an observation 90 was wrongly taken as 23. The corrected new mean is? Answer Choice: (A) 37.3 (B) 36.1 (C) 36.5 (D) 36.9 (E) 36.3
Answer: A
80 white and black tiles will be used to form a 10x10 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used? Answer Choice: (A) 75 (B) 80 (C) 85 (D) 90 (E) 60
Answer: E
An object thrown directly upward is at a height of h feet after t seconds, where h = -14 (t-3)^2 + 140. At what height, in feet, is the object 2 seconds after it reaches its maximum height? Answer Choice: (A) 62 (B) 68 (C) 76 (D) 84 (E) 96
Answer: D
A policeman noticed a criminal from a distance of 180 km. The criminal starts running and the policeman chases him. The criminal and the policeman run at the rate of 8 km and 10 km per hour respectively. What is the distance between them after 3 minutes ? Answer Choice: (A) 100 m (B) 80 m (C) 130 m (D) 150 m (E) None of these
Answer: B
A transport company’s 120 buses running 20 hrs a day consume 360 of fuel in a day. In the next 3 days, the company will invest in 30 more green buses that use 30% less fuel. How many lts of fuel will be consumed in a five day week after the new buses are added to the fleet? Answer Choice: (A) 3,060 (B) 1, 512 (C) 1,800 (D) 1,260 (E) 3,312
Answer: E
The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is? Answer Choice: (A) 22 (B) 28 (C) 27 (D) 80 (E) 21
Answer: D
Evaluate 28% of 450 + 45% of 280 Answer Choice: (A) 232 (B) 242 (C) 252 (D) 262 (E) 272
Answer: C
If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of a2, b2, c2 is: Answer Choice: (A) M2 (B) 3M2 (C) 6M2 (D) 9M2 (E) None of these
Answer: B
Two boats are heading towards each other at constant speeds of 5 miles/hr and 25 miles/hr respectively. They begin at a distance 20 miles from each other. How far are they (in miles) one minute before they collide ? Answer Choice: (A) 1/12 (B) 5/12 (C) 1/6 (D) 1/2 (E) 1/5
Answer: D