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big_math_dataset

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If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 35 men in 3 days?
The area of a rectangle plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot?
If x = 4^16 and x^x = 4^k, what is k?
If x=1/8, which expression has the greatest value?
Find the greatest number that exactly divides 35, 91 and 840?
A man buys a cycle for Rs. 1900 and sells it at a loss of 18%. What is the selling price of the cycle?
The average of the marks of 12 girls in a class is 36. If the marks of each girl are doubled, find the new average?
A hollow spherical metallic ball has an external diameter 6 cm and is 1/2 cm thick. The volume of metal used in the metal is:
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.6, what is the probability that Malachi will return home at the end of the day on the following Monday?
A school having five classes only have student strength of 10, 10, 20, 20 and 40 respectively. The pass percentages of these classes are 20%, 30%, 60%, 90% and 100% respectively. What is the pass percentage for the entire school?
A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
63.2 is what percent of 867?
If x > y^4 > z^5, which of the following statements could be true? I. x>y>z II. x>z III.y=z
What is the sum of 59 consecutive integers from -29 inclusive, in a increasing order?
In how many ways can a group of 5 men and women be made out of a total of 7 men and 3 women?
At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 11 charts have been brought to the meeting, how many pe...
What approximate value should come in place of the question mark(?) in the following equation? 6.39 × 15.266 + 115.8 of 2⁄5 = ?
A girl purchased “m” number of pens of type “A” at the unit price of “Rs. x” each, “n” number of pens of type “B” at the unit price of “Rs. y” each and “p” number of pens of type “C” at the unit price of “Rs. z” each. Which of the following represents the average price of all the pens taken together?
By selling an umbrella for Rs. 200, a shop keeper gains 50%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
List K consists of 12 consecutive integers. If -5 is the least integer in list K, what is the range of the positive integers in list K?
The radius of the wheel of a bus is 250 cms and the speed of the bus is 66 km/h, then the r.p.m. (revolutions per minutes)of the wheel is
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
If d=(10^10)-47, what is the sum of all the digit of d?
The average weight of a group of boys is 30 kg. After a boy of weight 36 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
80 is what percent of 40? .
9 years ago I was five times as old as my eldest son. Today I am 3 times his age. How old am I now?
A certain university will select 1 of 7 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 ...
How many days will there be from 26th January,1996 to 15th May,1996(both days included)?
2^(20) + 2^(21) + 2^(22) + ... + 2^(49) + 2^(50) =
A company bought for its 5 offices 2 computers of brand N and 3 computers of brand M. In how many ways could computers be distributed among the offices if each office can have only 1 computer.
A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest .What is the rate of interest ?
Carl drove from his home to the beach at an average speed of 80 kilometers per hour and returned home by the same route at an average speed of 70 kilometers per hour. If the trip home took 1/2 hour longer than the trip to the beach, how many kilometers o did Carl drive each way?
Convert 0.35 in to a vulgar fraction ?
A train speeds past a pole in 20 seconds and a platform 100 m long in 25 seconds. Its length is?
A shopkeeper labeled the price of his articles so as to earn a profit of 20% on the cost price. He then sold the articles by offering a discount of 10% on the labeled price. What is the actual percent profit earned in the deal?
One night 16 percent of the female officers on a police force were on duty. If 160 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
If 5% more is gained by selling an book for $ 350 than by selling it for $ 340, the cost of the book is:
A librarian has a set of twelve books, including four different books about Abraham Lincoln. The librarian wants to put the twelve books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other eight books. How many different arrangements of the twelve books are possible?
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
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 52 people bought tickets to the concert, what was the total revenue from ticket sales?
In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
There are 350 zebras at a large zoo near city. The number of zebras is 5 times the number of all the other animals combined. How many more zebras are there than non zebra animals at the zoo?
A pair of articles was bought for Rs. 37.40 at a discount of 15%. What must be the marked price of each of the articles ?
A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 7.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
An express train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the express train is 54 km/hr, what is the length of the platform?
Given that √12 = 3.464 and √120 = 10.95, find the value of √1.2 + √1200 + √0.012.
X, Y, and Z are consecutive numbers and X > Y > Z. Also, X + 3Y + 3Z = 5Y + 6. What is the value of Z?
Excluding the stoppages, the speed of a bus is 64 km/hr and including the stoppages the speed o the bus is 48km/hr. For how many minutes does the bus stop per hour?
A group of medical interns at Bohemus Medical School want to go on dates. There are 4 girls and 4 guys. Assuming girls go on dates with guys, how many possible ways can these 8 medical interns date each other?
A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 70,000, C receives :
A seller of used cars has 15 cars to sell and each of his clients selected 3 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?
Faiza has 14 purses, she gives 3 purse as gift. Now how many purse did she have ?
At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score W of team B?
In how many different ways can the letter of the word 'LEADING ' be arranged in such a way that the vowels always come together?
In covering a distance of 42 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
If m is an integer such that (-2)^2m=2^(18-m) then m=?
A and B undertake to do a piece of work for Rs. 1200. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of A.
Dacid obtained 86, 85, 92, 87 and 95 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 34?
Sixty men complete a work in 25 days. One man starts working it at and thereafter one more man joins him every day. In how many days the work will be completed?
If the mean of numbers 28, x, 42, 78 and 104 is 90, then what is the mean of 128, 255, 511, 1023 and x?
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.288. Find the principal?
The area of one square is x^2 + 8x + 16 and the area of another square is 4x^2 − 20x + 25. If the sum of the perimeters of both squares is 44, what is the value of x?
A watch was sold at a loss of 10%. If it was sold for Rs.200 more, there would have been a gain of 4%. What is the cost price?
The average of 21 numbers is 25. The average of first ten numbers is 18 and the average of last ten numbers is 32. What is the middle number?
A committee of two people is to be chosen from 5 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
A sum of money amounts to Rs.9800 after 5 years and Rs.12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
In 30 years, A will be twice as old as B was 30 years ago. If A is now 5 years older than B, the present age of B is?
John Purchased 1375 large bottles at $1.75 per bottle and 690 small bottles at $1.35 per bottle. What was the approximate average price paid per bottle?
Mala purchased a cooker and a stove for Rs. 6000 &Rs. 9000 respectively. He sold the cooker at a loss of 4% and the mobile stove at a profit of 8%. Overall how much he make a profit.
How much time will it take for an amount of Rs. 1400 to yield Rs. 140 as interest at 5% per annum of simple interest?
An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?
Alice picked a number of pears, each of which she sold, canned, or poached. She canned 20 percent more than she poached, and she poached 50 percent less than she sold. If there were a total of 42 pears, then how many pears did she sell?
If the average of 20,21, 23, 24, 25, 28, 28, 29, 31 and x is 26, what is the value of x?
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
A tank is filled in TWELVE hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
P is a positive integer and 225 and 216 are both divisors of P. If P=(2^x)*(3^y)*(5^z), where x, y and z are positive integers, what is the least possible value of x+ y+ z?
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
What is the least number to be subtracted from 11, 15, 21 and 30 each so that resultant numbers become proportional?
The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?
The food in a camp lasts for 25 men for 55 days. If five more men join, how many days will the food last?
A construction company wants to number new houses using digit plates only. If the company puts an order for 522 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).
What is the remainder when the number W=14^2 * 15^8 is divided by 5?
A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train?
At the foot of a mountain the elevation of its summit is 45 degrees. After ascending one KM towards the mountain upon an incline of 30 degrees, the elevation changes to 60 degrees. Find the Height of the mountain?
A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 100 feet of lake frontage. If 1/9 of the lots are to have 80 feet of frontage each and the remaining 56 lots are to have 100 feet of frontage each, what is the value of x ?
There are 50 students in a class. If 12% are absent on a particular day, find the number of students present in the class.
Three machines, each working at the same constant rate, together can complete a certain job in 18 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 9 days?
In a meeting of 3 representatives from each of 7 different companies, each person shook hands with every person not from his or her own company. If the representatives did not shake hands with people from their own company, how many handshakes took place?
What is the unit digit in 12^100?
A fellow borrowed a certain sum of money at 3% per annum at simple interest and in 3 years the interest amounted to Rs.1820 less than the sum lent. What was the sum lent?
If R = {1, 7, 18, 20, 29, 33}, how much less is the mean of the numbers in R than the median of the numbers in R?
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
Equal weights of two alloys containing tin, copper and lead in the ratio 3:2:7 and 4:11:3 are melted and mixed together. What is the ratio of tin, copper and lead in the resultant alloy?
The cost of fuming the engine of an army tank is proportional to the square of the speed and Rs 64 per hour for a speed of 16km/hr. Other costs amount to Rs 400 per hour. The tank has to make a journey of 400km at a constant speed.The most economical speed for this journey is :
Two tains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 125 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
Antony can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Antony has in his herd?
What is the product of all the prime factors of 12?