loafeihong/math_mmlu_format huggingface dataset:
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) 299 (C) 277 (D) 860 (E) 771
Answer: D
What is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 110? Answer Choice: (A) 10 (B) 25 (C) 55 (D) 75 (E) 100
Answer: C
The average weights for Tom,Jack,Rose was 90kg. The average weights for Jack,Rose,John was 100kg. If the weight of John be 50kg, what was the weight of Tom? Answer Choice: (A) 20 (B) 44 (C) 37 (D) 42 (E) None of these
Answer: A
If e is an even integer and e/18 is an odd integer, which of the following is NOT an even integer? Answer Choice: (A) (e^2)/54 (B) (e^2)/12 (C) (e^2)/9 (D) (e^2)/6 (E) (e^2)/2
Answer: B
The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 3-hour period? Answer Choice: (A) 88 (B) 56 (C) 42 (D) 25 (E) 64
Answer: D
List A consists of 12 consecutive integers. If -4 is the least integer in list A, what is the range of positive integers in list A? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 11 (E) 12
Answer: B
What profit percent is made by selling an article at a certain price, if by selling at 4/5rd of that price, there would be a loss of 20%? Answer Choice: (A) 0% (B) 29% (C) 70% (D) 27% (E) 28%
Answer: A
Three-twentieths of the members of a social club are retirees who are also bridge players, six-twentieths of the members are retirees, and one-half of the members are bridge players. If 130 of the members are neither retirees nor bridge players, what is the total number of members in the social club? Answer Choice: (A) 240 (B) 300 (C) 200 (D) 400 (E) 480
Answer: C
In how many ways, a committee of 5 members can be selected from
6 men and 5 ladies, consisting of 3 men and 2 ladies? Answer Choice: (A) 200 (B) 450 (C) 350 (D) 500 (E) 430
Answer: A
Zack has 3 red fish, 5 yellow fish and 7 green fish. How many fish does he have in all? Answer Choice: (A) 8 (B) 5 (C) 15 (D) 1 (E) 18
Answer: C
The product of n consecutive positive integers is always divisible by? Answer Choice: (A) n^2 -1 (B) (n+1)! (C) 2n +1 (D) n^2 + 1 (E) n!
Answer: D
he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg. What might be the weight of the new person ? Answer Choice: (A) 90 kg (B) 55 kg (C) 45 kg (D) 85 kg (E) 25 kg
Answer: A
What is the remainder when 1201 × 1202 ×1204 × 1205 is divided by 6? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
The population of a village is 15540. It increases annually at the rate of 28% p.a. What will be its population after 2 years? Answer Choice: (A) 10000 (B) 25460 (C) 26709 (D) 14000 (E) 14400
Answer: B
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 120 m is? Answer Choice: (A) 286 m (B) 180 m (C) 200 m (D) 166 m (E) 187 m
Answer: B
What is the average of xx, 2x2x, and 66? Answer Choice: (A) x+2 (B) x+2x (C) x+2x+2 (D) 2x+2 (E) x
Answer: C
A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent? Answer Choice: (A) 28 (B) 10 (C) 21 (D) 17 (E) 11
Answer: B
If there are 200 questions in a 3 hr examination. Among these questions are 25 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems? Answer Choice: (A) 40 min (B) 62 min (C) 70 min (D) 74 min (E) 76 min
Answer: A
Find the simple interest on Rs. 3000 at 6 1/4% per annum for the period from
4th Feb., 2005 to 18th April, 2005. Answer Choice: (A) Rs.36.50 (B) Rs.37.50 (C) Rs.35.50 (D) Rs.32.50 (E) Rs.33.50
Answer: B
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Answer Choice: (A) 6.3 (B) 5.2 (C) 4.9 (D) 10.8 (E) 10.5
Answer: D
Arabica coffee costs $0.4 per ounce while Robusta coffee costs $0.3 per ounce. If the blend of Arabica and Robusta costs $0.34 per ounce, what is the share of Arabica in this blend? Answer Choice: (A) 20% (B) 24% (C) 30% (D) 33% (E) 40%
Answer: E
1: 3 = 4/3: x. The value of x is? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%? Answer Choice: (A) Rs.275 (B) Rs.216 (C) Rs.208 (D) Rs.285 (E) Rs.281
Answer: D
Two digits in father's age are the same as the digit in the son's age, but in reverse order. In five years father will be twice as old as son will be then. what is the difference in their current age ? Answer Choice: (A) 18 (B) 16 (C) 34 (D) 25 (E) 12
Answer: A
If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a20 is equal to ? Answer Choice: (A) a. 5*2^99-6 (B) b.6 * 2^19 - 5 (C) c. 6*2^99+5 (D) d. 6*2^99-5 (E) e. 6*2^99-6
Answer: B
The total number of digit used in numbering the pages of a book having 366 pages, is : Answer Choice: (A) 732 (B) 990 (C) 1098 (D) 1305 (E) None of these
Answer: B
If 15% of 30% of 50% of a number is 126, then what is the number? Answer Choice: (A) 5000 (B) 5600 (C) 5400 (D) 4500 (E) None of these
Answer: B
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them? Answer Choice: (A) 22 km (B) 20 km (C) 65 km (D) 18 km (E) 16 km
Answer: B
If the LCM of two numbers a and b is 1104 and their HCF is 4, which of the following MUST be true?
I. a * b = 4416
II. a and b are both divisible by 8
III. a : b = 48 : 23 Answer Choice: (A) I only (B) II only (C) I and III only (D) II and III only (E) I, II, and III
Answer: A
A big beautiful cube is formed by rearranging the 160 coloured and 56 non-coloured similar cubes in such a way that the exposure of the coloured cubes to the outside is minimum. The percentage of exposed area to the coloured is : Answer Choice: (A) 25.9% (B) 44.44% (C) 35% (D) 61% (E) None of these
Answer: B
Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After eight rounds of this activity, what is the maximum amount of money that any one man could receive? Answer Choice: (A) $4 (B) $5 (C) $101 (D) $115 (E) $128
Answer: E
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems? Answer Choice: (A) 1546 (B) 1054 (C) 1023 (D) 1608 (E) 1065
Answer: C
If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 16
III. P is a multiple of 27 Answer Choice: (A) I only (B) II only (C) III only (D) None of the above (E) All of the above
Answer: B
The sum of two number is 25 and their difference is 13. Find their product. Answer Choice: (A) 104 (B) product=114 (C) 315 (D) 325 (E) None
Answer: B
Two pipes can fill a tank in 20 minutes and 12 minutes. An outlet pipe can empty the tank in 10 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank? Answer Choice: (A) 24 (B) 26 (C) 28 (D) 30 (E) 32
Answer: D
Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 45 people bought tickets to the concert, what was the total revenue from ticket sales? Answer Choice: (A) $600 (B) $760 (C) $850 (D) $980 (E) $1,140
Answer: B
A can finish a piece of work in 12 days. B can do it in 20 days. They work together for 9 days and then A goes away. In how many days will B finish the work? Answer Choice: (A) 6 days (B) 4 days (C) 5 days (D) 3 days (E) 7 days
Answer: C
Positive integer x has y factors; 3x has 3 factors; Which of the following values can y take?
I. 1
II. 2
III. 3 Answer Choice: (A) I or II (B) I only is true (C) II only is true (D) II or III (E) I or III
Answer: C
A, B and C, each working alone can complete a job in 2, 4 and 6 days respectively. If all three of them work together to complete a job and earn $2500, what will be C's share of the earnings? Answer Choice: (A) $1206.60 (B) $1363.63 (C) $1263.63 (D) $1463.53 (E) $1163.03
Answer: B
The product of all the prime numbers less than 15 is closest to which of the following powers of 10? Answer Choice: (A) a) 10^4 (B) b) 10^8 (C) c) 10^7 (D) d) 10^6 (E) e) 10^5
Answer: A
140 is what percent of 40? Answer Choice: (A)  5% (B)  20% (C)  50% (D)  350% (E)  500%
Answer: D
The average runs scored by a batsman in 30 matches is 50. In the next 15 matches the batsman scored an average of 26 runs. Find his average in all the 45 matches? Answer Choice: (A) 31 (B) 42 (C) 29 (D) 97 (E) 27
Answer: B
Depreciation applicable to an equipment is 20%.The value of the equipment 3 years from now will be less by Answer Choice: (A) 48.8% (B) 47.8% (C) 46.8% (D) 49.8% (E) 45.8%
Answer: A
A pair of articles was bought for $50 at a discount of 40%. What must be the marked price of each of the article? Answer Choice: (A) $25 (B) $15 (C) $29.65 (D) $35.95 (E) $45.62
Answer: B
When simplified, the product (1 – 1/2) (1 – 1/3) (1 – 1/4)…… (1 – 1/n) gives: Answer Choice: (A) 1/n (B) 2/n (C) 2(n – 1)/n (D) 2/n(n + 1) (E) 3/n(n + 1)
Answer: A
A person travels equal distances with speed of 3 km/hr, 4 km/hr and 5 km/hr and takes a total of 47
minutes. Find the total distane Answer Choice: (A) 3 km (B) 4 km (C) 6 km (D) 9 km (E) None of these
Answer: A
How long does a train 165 meters long running at the rate of 36 kmph take to cross a bridge 660 meters in length? Answer Choice: (A) 33 (B) 72 (C) 55 (D) 82.5 (E) 62
Answer: D
What is the greatest prime factor of 1+2+3+。。。+106? Answer Choice: (A) 131 (B) 127 (C) 99 (D) 101 (E) 107
Answer: D
Sum of the squares of 3 no. is 252 and the sum of their products taken two at a time is 116. Find the sum? Answer Choice: (A) 24 (B) 33 (C) 22 (D) 20 (E) 21
Answer: C
How many different ways can 2 students be seated in a row of 3 desks, so that there is always at least one empty desk between the students? Answer Choice: (A)  2 (B)  3 (C)  4 (D)  6 (E)  12
Answer: A
After a storm deposits 120 billion gallons of water into the city reservoir, the reservoir is 85% full. If the original contents of the reservoir totaled 220 billion gallons, the reservoir was approximately what percentage full before the storm? Answer Choice: (A) 45% (B) 48% (C) 55% (D) 58% (E) 65%
Answer: C
What is the ratio of the volumes of a right cylinder to that of a right cone having equal diameters? Answer Choice: (A) 1:3 (B) 3:1 (C) 2:3 (D) 3:2 (E) None of these
Answer: B
If Greg buys 6 shirts, 4 trousers and 2 ties, the total cost is $80. If Greg buys 4 shirts, 2 trousers and 2 ties, the total cost is $140. How much will it cost him to buy 3 trousers, 5 shirts and 2 ties? Answer Choice: (A) $60 (B) $64 (C) $75 (D) $110 (E) Cannot be determined
Answer: D
(X)+1315+9211-1569=11901. Calculate the value of X Answer Choice: (A) 87801 (B) 87811 (C) 87862 (D) 11803 (E) 87803
Answer: E
Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr? Answer Choice: (A) 20 m (B) 60 m (C) 50 m (D) 45 m (E) 65 m
Answer: B
217 x 217 + 183 x 183=? Answer Choice: (A) 79698 (B) 80578 (C) 80698 (D) 81268 (E) None of them
Answer: B
How many of the positive factors of 85 , 105 and how many common factors are there in numbers? Answer Choice: (A) 5 (B) 4 (C) 2 (D) 3 (E) 1
Answer: C
The average weight of A, B and C is 44 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is: Answer Choice: (A) 33 kg (B) 34 kg (C) 32 kg (D) 36 kg (E) 37 kg
Answer: B
If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value D of z - x? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10
Answer: D
John and Lewis leave Chennai for Bangalore simultaneously at 8 P.M in the night driving in two cars at speeds of 50 mph and 70 mph respectively. As soon as Lewis reaches Bangalore he returns back to Chennai along the same route and meets John on the way back. If the distance between the two cities is 210 miles, how far from Chennai did John and Lewis meet? Answer Choice: (A) 200 miles (B) 140 miles (C) 150 miles (D) 149 miles (E) 50 miles
Answer: C
There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man. If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P : Q equals? Answer Choice: (A) 10:1 (B) 9:1 (C) 72:1 (D) 8:1 (E) None of these
Answer: A
If the President and Vice President must sit next to each other in a row with 1 other members of the Board, how many different seating arrangements are possible? Answer Choice: (A) 4 (B) 16 (C) 8 (D) 10 (E) 2
Answer: A
At 1:00, Annie starts to bicycle along a 58 mile road at a constant speed of 14 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet? Answer Choice: (A) 2:30 (B) 3:00 (C) 3:30 (D) 4:00 (E) 5:00
Answer: B
8.008/1.001 Answer Choice: (A) 0.008 (B) 8 (C) 0.8 (D) 80 (E) 800
Answer: B
Sandy is younger than Molly by 14 years. If the ratio of their ages is 7:9, how old is Sandy? Answer Choice: (A) 42 (B) 49 (C) 56 (D) 63 (E) 70
Answer: B
Linda spent 3/5 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) $900 (B) $300 (C) $600 (D) $1000 (E) $800
Answer: D
How many ways are there to award a gold, silver and bronze medal to 5 contending teams? Answer Choice: (A) 10 × 9 × 8 (B) 10!/(3!7!) (C) 5 * 4 * 3 (D) 543 (E) 200
Answer: C
The sub-duplicate ratio of 25:16 is Answer Choice: (A) 4:3 (B) 1:2 (C) 1:3 (D) 5:4 (E) 2:3
Answer: D
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Answer Choice: (A) 1234 (B) 1345 (C) 1350 (D) 1500 (E) 1635
Answer: E
One water pump can fill half of a certain empty tank in 5 hours. Another pump can fill half of the same tank in 5.5 hours. Working together, how long will it take these two pumps to fill the entire tank? Answer Choice: (A) 1 7/13 (B) 5 5/8 (C) 3 1/4 (D) 5 5/21 (E) 3 1/2
Answer: D
Walking at 5/6 of her normal speed, a worker is 12 minutes later than usual in reaching her office. The usual time (in minutes) taken by her to cover the distance between her home and her office is Answer Choice: (A) 36 (B) 42 (C) 48 (D) 54 (E) 60
Answer: E
Janes can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows? Answer Choice: (A) 40 minutes. (B) 1 hour and 30 minutes. (C) 1 hour. (D) 1 hour and 40 minutes. (E) 2 hours and 15 minutes.
Answer: C
Three students appear at an examination of Mathematics. The probability of their success are 1/3, 1/4, 3/5 respectively. Find the probability of success of at least two. Answer Choice: (A) 1/3 (B) 2/5 (C) 3/4 (D) 3/5 (E) 4/5
Answer: A
Factor: 3y(x – 3) -2(x – 3) Answer Choice: (A) (a) (x – 3)(x – 3) (B) (b) (x – 3)2 (C) (c) (x – 3)(3y – 2) (D) (d) 3y(x – 3) (E) (e) 3y(x – 2)
Answer: C
If x+|x|+y=2 and x+|y|-y=6 what is x+y=? Answer Choice: (A) 1 (B) -1 (C) 3 (D) 5 (E) 13
Answer: A
Alex deposited x dollars into a new account that earned 9 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ? Answer Choice: (A) w/(1+1.08) (B) w/(1.08+1.16) (C) w/(1.09+1.09^2) (D) w/(1.16+1.24) (E) w/(1.08^2+1.08^2)
Answer: C
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ? Answer Choice: (A) 15 (B) 30 (C) 36 (D) 45 (E) 46
Answer: D
In a certain book club, the members are voting between two books – a mystery novel and a biography – to decide which book the group will read next. There are 2 times as many votes for the mystery novel as there are votes for the biography. The ratio of biography votes to the total number of votes is Answer Choice: (A) 1 to 3 (B) 1 to 2 (C) 1 to 4 (D) 2 to 3 (E) 3 to 4
Answer: A
The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks? Answer Choice: (A) Rs.1000 (B) Rs.1100 (C) Rs.1170 (D) Rs.1200 (E) Rs.1240
Answer: C
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? Answer Choice: (A) 7881 (B) 4991 (C) 4771 (D) 4881 (E) 4981
Answer: B
A board of length L feet is cut into two pieces such that the length of piece A is 4 feet less than three times the length of piece B. Which of the following is the length, in feet, of piece A? Answer Choice: (A) (L+4)/3 (B) (L-4)/4 (C) (3L-4)/4 (D) (3L-1)/3 (E) (3L+4)/4
Answer: C
A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 23 per kg, then his gain percent is Answer Choice: (A) 12% (B) 23% (C) 14% (D) 15% (E) 16%
Answer: B
A city with a population of 126,160 is to be divided into 7 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have? Answer Choice: (A) 16,500 (B) 16,600 (C) 16,700 (D) 16,800 (E) 16,900
Answer: B
A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 108 runs, thereby increasing his average by 6 runs. His new average is Answer Choice: (A) 18 runs (B) 28 runs (C) 48 runs (D) 42 runs (E) 46 runs
Answer: C
The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. The age of the youngest boy is Answer Choice: (A) 9 years (B) 15 years (C) 18 years (D) 21 years (E) None
Answer: B
A certain sum of money at simple interest amounted Rs.945 in 9 years at 3% per annum, find the sum? Answer Choice: (A) 338 (B) 744 (C) 749 (D) 788 (E) 261
Answer: B
A train 250 m long running at 72 kmph crosses a platform in 40 sec. What is the length of the platform? Answer Choice: (A) 450m (B) 200m (C) 250m (D) 270m (E) 300 m
Answer: A
Four different children have jelly beans: Aaron has 5, Bianca has 7, Callie has 8, and Dante has 9. How many jelly beans must Dante give to Aaron to ensure that no child has more than 1 fewer jelly beans than any other child? Answer Choice: (A)  1 (B)  3 (C)  4 (D)  5 (E)  6
Answer: A
If 0 < m < 1 < n< 5, which of the following must be less than 1? I.m/n II. mn III. n - m Answer Choice: (A) I,III only (B) III,II only (C) III only (D) I only (E) II only
Answer: D
An error 10% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square? Answer Choice: (A) 6.64% (B) 16.64% (C) 15.64% (D) 21% (E) 10.64%
Answer: D
What is the HCF of 2/3, 5/9 and 6/5 Answer Choice: (A) 1/45 (B) 2/45 (C) 4/15 (D) 8/45 (E) 9/45
Answer: A
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train? Answer Choice: (A) 65 Kmph (B) 68 Kmph (C) 19 Kmph (D) 78 Kmph (E) 98 Kmph
Answer: B
Which of the following must be subtracted from 2^120 so that the resulting integer will be a multiple of 3? Answer Choice: (A) 8 (B) 6 (C) 3 (D) 5 (E) 1
Answer: E
A room of 2m 40cm long and 4m 20cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor. Answer Choice: (A) 23 (B) 25 (C) 28 (D) 60 (E) 240
Answer: C
Mr. Yutaro’s class contains 12 boys and 4 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen? Answer Choice: (A) 9/48 (B) 9/20 (C) 11/24 (D) 2/15 (E) 13/16
Answer: D
The perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? Answer Choice: (A) 87 cm2 (B) 28 cm2 (C) 98 cm2 (D) 26 cm2 (E) 45 cm2
Answer: E
For what value(s) of n is the following equation satisfied: 2n-6-5n = 5n+7-4n Answer Choice: (A) a. -5/4 (B) b. -13/4 (C) c. 5/4 only (D) d. No value (E) e. Any value
Answer: B
8 men can dig a pit in 20 days. If a man works half as much again a s a boy, then 4 men and 9 boys can dig a similar pit in: Answer Choice: (A) 10 days (B) 12 days (C) 15 days (D) 16 days (E) 20 days
Answer: D
If n is a prime number and n ≠ 3, which of the following could be the remainder when 100! + n is divided by 3?
I. 2
II. 1
III. 0 Answer Choice: (A) II only (B) III only (C) I and II only (D) II and III only (E) I, II and III
Answer: C
One pump drains one-half of a pond in 5 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone? Answer Choice: (A) 1 hour (B) 1.1 hour (C) 3 hours (D) 5 hours (E) 6 hours
Answer: B
The H.C.F. of two numbers is 30 and the other two factors of their L.C.M. are 15 and 12. The larger of the two numbers is Answer Choice: (A) 476 (B) 399 (C) 450 (D) 322 (E) None
Answer: C
If a number is chosen at random from the set of first 20 natural numbers, The probability that it is either an even number or a prime number is? Answer Choice: (A) 15/20 (B) 8/20 (C) 10/20 (D) 17/20 (E) 18/20
Answer: D
If 22 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect? Answer Choice: (A) 125 (B) 187 (C) 231 (D) 375 (E) 460
Answer: C
If p is a natural number and p! ends with f trailing zeros, then the number of zeros that (5p)! ends with will be Answer Choice: (A) a) (p+f) trailing zeros (B) b) (5p+y) trailing zeros (C) c) (5p+5y) trailing zeros (D) d) (p+5y) trailing zeros (E) e) none of them above
Answer: A
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is : Answer Choice: (A) 1/10 (B) 8/15 (C) 6/15 (D) 1/15 (E) none of the above
Answer: B
(4300731)-! = 2535618. Find value of !? Answer Choice: (A) 1213441 (B) 2354546 (C) 4354556 (D) 2435454 (E) 1765113
Answer: E
Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop? Answer Choice: (A) 26 minutes (B) 20 minutes (C) 17 minutes (D) 16 minutes (E) 18 minutes
Answer: B
Mrs. A. invested $45,000; part at 5%, and part at 8%. The total interest on the investment was $3,150. How much did she invest at each rate? Answer Choice: (A) x=$15,000, y =$30,000 (B) x=$12,000, y =$24,000 (C) x=$8,000, y =$16,000 (D) x=$10,000, y =$20,000 (E) x=$13,000, y =$26,000
Answer: A