loafeihong/math_mmlu_format huggingface dataset:
John walked to the bus stop at a speed of 3 kph, but walked home at a speed of 6 kph. What was his average speed walking to and from the bus stop? Answer Choice: (A) 9 kph (B) 3 kph (C) 4.5 kph (D) 6 kph (E) 18 kph
Answer: C
A word is defined as a sequence of four dots arranged in a row. Each dot is colored either yellow or blue. How many distinct words can be formed? Answer Choice: (A) 4 (B) 8 (C) 12 (D) 16 (E) 20
Answer: D
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) 2:8 (B) 2:1 (C) 2:2 (D) 2:4 (E) 2:5
Answer: E
Find the probability if a two digit number multiplied by 3 but not 5 Answer Choice: (A) 2/15 (B) 3/15 (C) 4/15 (D) 5/15 (E) 6/15
Answer: C
In Rwanda, the chance for rain on any given day is 1/2. What is the probability that it rains on 5 out of 8 consecutive days in Rwanda? Answer Choice: (A) 4/7 (B) 3/7 (C) 7/32 (D) 4/28 (E) 28/135
Answer: C
The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 480 miles away. The pilot recognizes that the current engine, which can fly only 10 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible? Answer Choice: (A) 2 (B) 4 (C) 12 (D) 40 (E) 160
Answer: A
Average of 5 numbers is zero. At most how many numbers may be greater than zero Answer Choice: (A) 0 (B) 4 (C) 5 (D) 9 (E) 10
Answer: B
A table is bought for Rs.400/- and sold at Rs.500/- find gain or loss percentage Answer Choice: (A) 25% gain (B) 20% gain (C) 20% loss (D) 15% gain (E) None
Answer: A
A train is moving at a speed of 132 km/hr. If the length of the train is 150 meters, how long will it take to cross a railway platform 235 meters long Answer Choice: (A) 6 ½ sec (B) 7 ½ sec (C) 8 sec (D) 10 ½ sec (E) 9 sec
Answer: D
If x is a sum of all even integers on the interval 13...65 and y is their number, what is the GCD (x, y)? Answer Choice: (A) 1 (B) 13 (C) 26 (D) 52 (E) 1014
Answer: C
How many pages the book have, if total 300 digits are used to form the page numbers? Answer Choice: (A) 135 pages (B) 136 pages (C) 137 pages (D) 138 pages (E) 139 pages
Answer: B
The sum of two numbers is 16. The difference is 4. What are the two numbers? Answer Choice: (A) 10-6 (B) 8-8 (C) 9-7 (D) 11-5 (E) 13-3
Answer: A
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9} Answer Choice: (A) 76 (B) 88 (C) 77 (D) 67 (E) 60
Answer: E
For the sequence a1, a2, a3. ..an, an is defined by an=1/2n−1−1/2n for each integer n≥1. What is the sum of the first 8 terms of the sequence? Answer Choice: (A) 63/64 (B) 127/128 (C) 255/256 (D) 511/512 (E) 513/512
Answer: C
A can do a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in Answer Choice: (A) 5 days (B) 6 days (C) 7.5 days (D) 8.5 days (E) 8 days
Answer: C
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is: Answer Choice: (A) No profit, no loss (B) 5% (C) 8% (D) 10% (E) 12%
Answer: B
Excluding stoppages,the speed of the bus is 54kmph and
including stoppages,it is 9kmph. For how many minutes does the bus stop per hr Answer Choice: (A) 12 min (B) 11 min (C) 13 min (D) 20 min (E) 50 min
Answer: E
I have only 1$ and 2$ note. I want to give 95$ to John. How many maximum number of 1$ note I need? Answer Choice: (A) 53 (B) 35 (C) 47 (D) 95 (E) 62
Answer: D
Given that there are 11 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 3 players can be selected from each team? Answer Choice: (A) 24563 (B) 45784 (C) 14525 (D) 35658 (E) 27225
Answer: E
There are 100 students in a certain geometry class. If one half of the students are boys and one fifth of the boys are under six feet tall, how many boys in the class are under six feet tall? Answer Choice: (A) 6 (B) 10 (C) 18 (D) 24 (E) 27
Answer: B
A company has 600 employees, 40% of whom are employed full time. If it hires 80 new employees, 15% of whom are employed part time, what will be the percent increase in part time employees? Answer Choice: (A) 1 2/3 % (B) 2 2/3 % (C) 4 % (D) 3.33 % (E) 9 %
Answer: D
Four friends are pooling their money for pizza. Emma has 8 dollars. Daya has 25% more money than Emma, Jeff has 2/5 of the money Daya has, and Brenda has 4 more dollars than Jeff. How much money does Brenda have? Answer Choice: (A) 14 (B) 6 (C) 7 (D) 8 (E) 10
Answer: D
If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2.7 SDs from the mean? Answer Choice: (A) 12.5 (B) 13 (C) 14 (D) 11.8 (E) 15
Answer: D
In a flower shop there were 8 flowers in each bouquet. If the seller has doubled the number of flowers in each bouquet then the new average of flowers in each bouque is Answer Choice: (A) 12 (B) 16 (C) 8 (D) 9 (E) None of these
Answer: B
If n is the greatest positive integer for which 2^n is a factor of 6!, then n =? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 8 (E) 10
Answer: B
For any numbers w and z, w#z = w^3z(8 - w^2). If both z and w#z are positive numbers, which of the following could be a value of w? Answer Choice: (A) 9 (B) 3 (C) 0 (D) −2 (E) −9
Answer: E
Fresh fruit contains 55% water and dry fruit contains 10% water. How much dry fruit can be obtained from 100kg of fresh fruit? Answer Choice: (A) A)32kg (B) B)40kg (C) C)52kg (D) D)50kg (E) E)100kg
Answer: D
Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet? Answer Choice: (A) 4.85 (B) 7.85 (C) 6.85 (D) 5.85 (E) 6.15
Answer: C
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Answer Choice: (A) 288 (B) 266 (C) 120 (D) 287 (E) 212
Answer: C
Gate A runs 3000 liters of water per minute out of a check dam that has a total volume of 360000 liters. Gate B drains a third of the dam in 6 hours.
Working together how long will it take both gates to drain the dam completely ? Answer Choice: (A) 2 hours and 36 minutes (B) 1.5 hours (C) 9 hours and 12 minutes (D) 15 hours (E) 1 hour and 28 minutes.
Answer: E
How many real roots does the equation x^2y+16xy+60y=0 have if y < 0? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) Infinite
Answer: D
A container contains a dry mixture of sand and stones. Mass of sand and stones in the container is in the ratio 1:3. If 12 kg sand is added to the container, the ratio of masses of sand and stones becomes 5:3. Originally, how much more was the mass of stones than sand in the container? Answer Choice: (A) 12 (B) 9 (C) 6 (D) 3 (E) 1
Answer: C
In how many different number of ways 4 men and 2 women can sit on a shopa which can accommodate persons? Answer Choice: (A) 17 (B) 18 (C) 20 (D) 21 (E) 30
Answer: E
A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 10.30 a.m.? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 12
Answer: E
A person borrows Rs.5000 for 2 years at 5% p.a. simple interest. He immediately lends it to another person at 61⁄4% p.a for 2 years. Find his gain in the transaction per year. Answer Choice: (A) 62.5 (B) 150 (C) 225 (D) 112.5 (E) 212.5
Answer: A
A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If four, rather than five people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month? Answer Choice: (A) x/4 (B) x/5 (C) x/9 (D) x/20 (E) 4x/9
Answer: D
81,162,49,98,25,50,68 Answer Choice: (A) 126 (B) 127 (C) 129 (D) 128 (E) 136
Answer: E
The bankerâ€™s discount on Rs. 1600 at 8% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is : Answer Choice: (A) 2 months (B) 4.5 months (C) 6.5 months (D) 7.5 months (E) None
Answer: D
A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is? Answer Choice: (A) Rs.3600 (B) Rs.3607 (C) Rs.3627 (D) Rs.3661 (E) Rs.3628
Answer: A
At what time between 5.30 and 6 will the hands of a clock be at right angles? Answer Choice: (A) 43*8/11 min past 5 (B) 42*7/11 min past 5 (C) 43*7/11 min past 5 (D) 43*7/11 min past 7 (E) 44*7/11 min past 5
Answer: C
there are 30 students in a classroom. The ratio of the # of girls to boys was 1:2, how many boys are there? Answer Choice: (A) 10 (B) 15 (C) 20 (D) 25 (E) 30
Answer: C
The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of Rs.800 per sq. metre. Answer Choice: (A) Rs. 12000 (B) Rs. 19500 (C) Rs. 18000 (D) Rs. 16500 (E) Rs. 18090
Answer: D
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of r customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began? Answer Choice: (A) (n - 1) r (B) (n-1)/r (C) n + r –1 (D) r/(n-1) (E) n/(r-1)
Answer: B
Set P is composed of nine numbers, labeled P1 through P9. Set Q is also composed of nine numbers, labeled Q1 through Q9. Set Q is defined as follows: Q1 = 1 + P1; Q2 = 2 + P2; and so on, including Q9 = 9 + P9. How much larger is the sum of set Q's mean and range than the sum of set P's mean and range? Answer Choice: (A) 3 (B) 6 (C) 9 (D) cannot be determined (E) 12
Answer: D
From a pack of cards, two cards are drawn one after the other, with replacement. What is the probability that the first card is a club and the second card is a red king? Answer Choice: (A) 1/13 (B) 1/15 (C) 1/26 (D) 1/52 (E) 1/104
Answer: E
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women? Answer Choice: (A) 39 (B) 27 (C) 30 (D) 26 (E) 29
Answer: C
A polygon has 135 diagonals. How many sides does it have?
Self made Answer Choice: (A)  12 (B)  13 (C)  18 (D)  15 (E)  16
Answer: C
The average age of a group of 10 students was 25. The average age increased by 3 years when two new students joined the group. What is the average age of the two new students who joined the group? Answer Choice: (A) 22 years (B) 30 years (C) 32 years (D) 43 years (E) None of these
Answer: D
Find the invalid no.from the following series 15 46 63 71 75 77 78 Answer Choice: (A) 23 (B) 46 (C) 47 (D) 76 (E) 35
Answer: B
If m and n are negative integers, which of the following statements must be true?
I. (-m)^n is positive.
II. (-m)^(-n) is positive.
III. m^(-n) is positive. Answer Choice: (A) None (B) II only (C) I and II (D) I and III (E) I, II and III
Answer: C
If r = 199,999 and s = 991,999, which of the following is the units digit of r^2 + s^2? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 8 (E) 9
Answer: C
What is the greatest possible length which can be used to measure exactly the lengths 180 m, 500 m and 15m 20 cm? Answer Choice: (A) 80 cm (B) 50 cm (C) 40 cm (D) 10 cm (E) 100 cm
Answer: A
If the simple interest on a certain amount in at 4% rate 5 years amounted to Rs.2080 less than the principal. What was the principal? Answer Choice: (A) 1500 (B) 2600 (C) 2507 (D) 3200 (E) 11500
Answer: B
If (1/2)^25 (1/81)^k = 1/18^25, then k = Answer Choice: (A) 8 (B) 12.5 (C) 16 (D) 24 (E) 36
Answer: B
A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 6 cups of tea are prepared, 3 in one way and 3 in other. Find the different possible ways of presenting these 6 cups to the expert. Answer Choice: (A) 252 (B) 240 (C) 300 (D) 720 (E) None
Answer: D
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 17 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) 11 (B) 444 (C) 2881 (D) 287 (E) 456
Answer: E
One night 18 percent of the female officers on a police force were on duty. If 144 police officers were on duty that night and half of these were female officers, how many female officers were on the police force? Answer Choice: (A) 300 (B) 400 (C) 500 (D) 600 (E) 700
Answer: B
If the sample interest on a sum of money 10% per annum for 2 years is $1200, find the compound interest on the same sum for the same period at the same rate? Answer Choice: (A) $1260 (B) $1520 (C) $1356 (D) $1440 (E) $1210
Answer: A
If a + b + c = 13, a2 + b2 + c2 = 69 then find the ab + bc + ca : Answer Choice: (A) 10 (B) 30 (C) 50 (D) 70 (E) 90
Answer: C
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction w of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution? Answer Choice: (A) 11/14 (B) 13/18 (C) 4/7 (D) 3/7 (E) 3/14
Answer: A
Look at this series: 36, 34, 30, 28, ..., ... What numbers should come next? Answer Choice: (A) 29,27 (B) 32,30 (C) 22,20 (D) 24,22 (E) 10,9
Answer: D
Of three numbers, the third is thrice the second and the second is 5 times the first. If their average is 105, the smallest of the three numbers is: Answer Choice: (A) 18 (B) 15 (C) 20 (D) 21 (E) 22
Answer: B
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000? Answer Choice: (A) 81000 (B) 33888 (C) 77678 (D) 200988 (E) 228881
Answer: A
The average age of a group of n people is 14 years old. One more person aged 32 joins the group and the new average is 16 years old. What is the value of n? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: D
What should be added to 5021 so that it may become a perfect square? Answer Choice: (A) 20 (B) 23 (C) 26 (D) 27 (E) 29
Answer: A
In the x-y plane, point (x, y) is a lattice point if both x and y are integers. Circle C has a center at (0, 1) and a radius of 2. Some points, such as the center (0, 1), are inside the circle, but a point such as (0, 3) is on the circle but not in the circle. How many lattice points are in circle C? Answer Choice: (A) 9 (B) 27 (C) 2 (D) 15 (E) 7
Answer: A
If x percent of 400 is 20 percent of 700, then x = Answer Choice: (A) 200 (B) 350 (C) 700 (D) 400 (E) 1,400
Answer: D
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work? Answer Choice: (A) 2 (B) 1 (C) 7 (D) 6 (E) 4
Answer: C
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 90 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Answer Choice: (A) 12 sec (B) 24 sec (C) 30 sec (D) 60 sec (E) 62 sec
Answer: C
In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-5, 1), (1, 1), (1, -4) and (-5, -4)? Answer Choice: (A) 20 (B) 30 (C) 40 (D) 55 (E) 48
Answer: B
John buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods. Answer Choice: (A) Rs. 6876.10 (B) Rs. 4500 (C) Rs. 4600 (D) Rs. 3400 (E) Rs. 7500
Answer: A
If x is to be chosen at random from the set {1, 2, 3} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even? Answer Choice: (A)  1/6 (B)  1/3 (C)  1/2 (D)  2/3 (E)  5/6
Answer: E
In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case? Answer Choice: (A) 676 (B) 528 (C) 758 (D) 454 (E) 546
Answer: B
Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank? Answer Choice: (A) 70 (B) 71 (C) 75 (D) 78 (E) 74
Answer: D
A 250 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? Answer Choice: (A) 230m (B) 240m (C) 250m (D) 260m (E) 270m
Answer: C
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? Answer Choice: (A) 22 (B) 37 (C) 10 (D) 28 (E) 27
Answer: C
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?+ 1611 + 647 equals Answer Choice: (A) 1261 (B) 3729 (C) 2737 (D) 1278 (E) 1276
Answer: A
In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is Answer Choice: (A) 1 km/hr. (B) 5 km/hr. (C) 3 km/hr. (D) 8 km/hr. (E) 12 km/hr.
Answer: B
Given a certain number (x), find x given that 5.76 is 12% of 40% of x? Answer Choice: (A) 130 (B) 120 (C) 140 (D) 100 (E) 300
Answer: B
In what ratio tea of Rs.80 per kg be mixed with 12kg tea of Rs.64 per kg, so thai cost price of mixture is Rs.74 per kg? Answer Choice: (A) 3:5 (B) 5:3 (C) 2:5 (D) 2:3 (E) None of the above
Answer: B
At Rahul's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party? Answer Choice: (A) 384 (B) 258 (C) 216 (D) 120 (E) 72
Answer: B
A train 135 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? Answer Choice: (A) 13 km/hr (B) 53.6 km/hr (C) 17 km/hr (D) 18 km/hr (E) 12 km/hr
Answer: B
6 boysand 8 girls can do job in 10 days ,26 boys & 48 women do work in 2 days find time taken by 15 boys and 20 girls to do same work Answer Choice: (A) 4 days (B) 5 days (C) 6 days (D) 7 days (E) 8 days
Answer: A
A cubical block of metal weighs 4 pounds. How much will another cube of the same metal weigh if its sides are twice as long? Answer Choice: (A) 48 (B) 32 (C) 24 (D) 18 (E) 12
Answer: B
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %? Answer Choice: (A) 18% (B) 9% (C) 15% (D) 6% (E) 10%
Answer: A
Which number need to add to 956734 to get a number exactly divisible by 412? Answer Choice: (A) 345 (B) 342 (C) 343 (D) 342 (E) 341
Answer: B
If x is a number such that x^2 + 4x - 5 = 0 and x^2 - 5x + 4 = 0, then x = Answer Choice: (A) 5 (B) 4 (C) 1 (D) -4 (E) -5
Answer: C
There is a square with side ‘a’ and one octagon is inscribed in it. What will be perimeter of octagon. Answer Choice: (A) 8a/3 (B) 7a/3 (C) 5a/3 (D) a/3 (E) 11a/3
Answer: A
By selling an article at Rs.600, a profit of 25% is made. Find its cost price? Answer Choice: (A) 377 (B) 480 (C) 281 (D) 267 (E) 288
Answer: D
Find the number of factors T of 180 that are in the form (4*k + 2), where k is a non-negative integer? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) T=6
Answer: E
If a is an integer from 1 to 96, what is the probability for a*(a+1)*(a+2) being divisible by 8? Answer Choice: (A) a. 25% (B) b. 50% (C) c. 62.5% (D) d. 72.5% (E) e. 75%
Answer: C
The total age of A and B is 15 years more than the total age of B and C. C is how many years younger than A? Answer Choice: (A) 12 (B) 15 (C) C is elder than A (D) Data inadequate (E) None
Answer: B
The arithmetic mean of the scores of a group of students in a test was 80. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is? Answer Choice: (A) A)101.4. (B) B)111.7 (C) C)102.27 (D) D)115.1 (E) E)121.2
Answer: C
You keep tossing a fair coin for twenty times. Each time, the coin lands up with tails up.
What is the probability that if you toss it now, the coin will land with heads up this time? Answer Choice: (A) 30% (B) 50% (C) 78% (D) 72% (E) 91%
Answer: B
The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is: Answer Choice: (A) 200 m (B) 225 m (C) 245 m (D) 250 m (E) 270 m
Answer: B
A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 7 rows or 6 rows or 4 rows, then no tree will be left. Find the least number of trees required Answer Choice: (A) 22 (B) 84 (C) 28 (D) 76 (E) 21
Answer: B
A woman buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is: Answer Choice: (A) 12% (B) 45% (C) 20% (D) 34% (E) 78%
Answer: C
The arithmetic mean of the set S = {8, K, 7, 13, M, 8} is 9. If K and M are integers, and K ≠ M, what is the median of the numbers in the set? Answer Choice: (A) 7 (B) 7.5 (C) 8 (D) 8.5 (E) 9
Answer: C
In an election, candidate X got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate? Answer Choice: (A) 280000 (B) 300000 (C) 355000 (D) 356000 (E) 357000
Answer: E
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 6 kmph, then the speed of
the boat in still water is Answer Choice: (A) 12 kmph (B) 13 kmph (C) 14 kmph (D) 15 kmph (E) None of these
Answer: E
A person is traveling at 40 km/hr and reached his destiny in 6 hr then find the distance? Answer Choice: (A) 260 km (B) 240 km (C) 280 km (D) 340 km (E) 350 km
Answer: B
How many odd and even numbers are there between 42 and 400?? Find the sum of odd numbers and the sum of even numbers! Answer Choice: (A) 2 (B) 8 (C) 27 (D) 9 (E) 21
Answer: D
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed? Answer Choice: (A) 4787 (B) 2876 (C) 2876 (D) 5040 (E) 1082
Answer: D
The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube? Answer Choice: (A) 33 (B) 12 (C) 66 (D) 77 (E) 88
Answer: B
Dick and Jane each saved $3,000 in 1989. In 1990 Dick saved 8 percent more than in 1989, and together he and Jane saved a total of $5,000. Approximately what percent less did Jane save in 1990 than in 1989? Answer Choice: (A) 8% (B) 25% (C) 41% (D) 59% (E) 70%
Answer: C
A candidate got 10% of the votes polled and he lost to his rival by 16000 votes. How many votes were cast? Answer Choice: (A) 7500 (B) 20000 (C) 2775 (D) 5496 (E) 6851
Answer: B
In a certain pond, 80 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? Answer Choice: (A) 400 (B) 625 (C) 1,250 (D) 2,000 (E) 10,000
Answer: D
The second of two numbers is two less than three times the first. Find the numbers if there sum is
42. Answer Choice: (A) 7-19 (B) 8-20 (C) 10-16 (D) 11-31 (E) 20-6
Answer: D
O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(8.3) + E(–8.7) + o(–7.3) + e(6.6) is: Answer Choice: (A) -2 (B) -1 (C) 0 (D) 1 (E) 2
Answer: A
Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 8 hours. How long would it take for both hoses to fill up two-thirds of the pool? Answer Choice: (A) 5/12 hours (B) 5/8 hours (C) 8/5 hours (D) 16/7 hours (E) 12/5 hours
Answer: D