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big_math_dataset

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x percent of y percent of z is decreased by y percent. What is the result?
Ram and Krishna start from A and B respectively at the same time and travel towards each other at constant speeds of 30m/m and 40 m/m respectively along the same route. Ram meets Krishna at point C on the road after 10 minutes. Find the total distance between A to B.
A hall 36m long and 15m broad is to be paved with stones, each measuring 4dm by 5 dm. The number of stones required is:
The market value of a certain machine decreased by 10 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?
On her annual road trip to visit her family in Seal Beach, California, Traci stopped to rest after she traveled 1⁄3 of the total distance and again after she traveled 1⁄2 of the distance remaining between her first stop and her destination. She then drove the remaining 100 miles and arrived safely at her destination. W...
In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 21 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
In how many different number of ways a combination of 3 persons can be selected from 4 men and 2 women?
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. 34 per kg. His profit percent is:
John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment Y that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
The probabilities of solving a question by 3students A, B & C are 1/2,1/3 &1/4, respectively. The probability that the problem will be solved is?
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.
Three consecutive even numbers are such that thrice the first number exceeds double the third number by three. What is the third number?
Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
In what time will a train 250 metres long cross an electric pole, if its speed be 162 km/hr?
At an elementary school, 70% of the faculty members are women and 40% of the faculty members are married. If 1⁄3 of the men are single, what fraction of the men are married?
A man’s current age is (2/5) of the age of his father. After 10 years, he will be (1/2) of the age of his father. What is the age of father at now?
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
When 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.12510168?
If (a-b) is 6 more than (c+d) and (a+b) is 3 less than (c-d), then (a-c)
James took a 3-hour bike ride. In the second hour he traveled 30 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 6 people to do 6 times of that particular work?
Mary is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of white, and 1 morsel of waffle. The pattern repeats after she leaves the morsel of waffle. If Mary drops 2,000 morsels of bread, what are the ...
Average of five numbers is 30 . If one number is excluded the average becomes 26. The excluded number is
Insert the missing number. 2, 7, 8, 17, 16, 27, 22
Ron scored 344 marks out of 400 marks and his elder brother Ben scored 582 marks out of 600 marks. Who scored percentage is better?
The seats in an Engineering college for Computer science, electronics and civil are in the ratio of 5 : 7 : 8. There is a proportion to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?
What is the perimeter of a rectangular field whose diagonal is 10m and length is 3m ?
The average of a set of five distinct integers is 400. If each number is less than 2,000, and the median of the set is the greatest possible value, what is the sum of the two smallest numbers?
A can complete a journey in 1 hours. He travels first half of the journey at the rate of 21km/hr and second half at the rate of 24km/hr. Find the total journey in km?
The average age of an adult class is 40years. 15new students with an avg age of 32years join the class. Therefore decreasing the average by 4year. Find what was theoriginal strength of class?
the cyclist going at a constant rate of 18 miles per hour is passed by a motor-cyclist traveling in the same direction along the same path at 48 miles per hour. the motor-cyclist stops to wait for the cyclist 15 minutes after passing cyclist, while the cyclist continues to travel at constant rate, how many minutes must...
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
A and B can do a piece of work in 12 days. With the help of C they finish the work in 6 days. C alone can do that piece of work in?
If a – 8 = b, then determine the value of | a - b| - | b - a|.
Peter can cover a certain distance in 1 hr. 24 min. by covering two-third of the distance at 4 kmph and the rest at 5 kmph. Find the total distance.
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 7 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?
What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
Two pipes can fill a tank in 8 minutes and 5 minutes. An outlet pipe can empty the tank in 12 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
What is the positive difference between the sum of the squares of the first 3 positive integers and the sum of the prime numbers between the first square and fourth square?
Three rugs have a combined area of 200 square meters. By overlapping the rugs to cover floor area of 138 square meters, the area that is covered by exactly two layers of rug is 24 square meters. What is the area that is covered with three layers of rug ?
Two employees X and Y are paid a total of Rs. 590 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
The sequence a1, a2, a3, a4. a5 is such that an = a n-1 +5 for 2≤ n ≤ 5. If a5 = 39 what is the value of a1 ?
What is the probability that Company Q's advertisement will be one of the first two be shown during the first commercial break?
In a jar there are balls in different colors: blue, red, green and yellow. The probability of drawing a blue ball is 1/8. The probability of drawing a red ball is 2/5. The probability of drawing a green ball is 7/10. If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
In a box, there are 10 blue, 12 white and 10 yellow bulbs. One bulb is picked up randomly. What is the probability that it is neither white nor blue?
A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Edward traveled the entire 60 miles trip. If he did the first 3 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
How many different 6-letter sequences are there that consist of 2A, 7B's and 3C's ?
100 liters of a mixture contains milk and water in the ratio 7:3. If 10 liters of this mixture be replaced by 10 liters of milk, the ratio of milk to water in the new mixture would be?
What is the sum of all digits for the number 10^29 - 41?
The ratio of Red Balls to Blue Balls is 3:7. 70% of the Red balls and 30% of the Blue balls are tennis balls. How many of the balls are tennis balls?
20% loss on the selling price is what percent loss on the cost price?
When the number 9y30012 is exactly divisible by 11, what is the smallest whole number that can replace y?
If 6 persons can do 6 times of a particular work in 6 days, then, 7 persons can do 7 times of that work in ?
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Of the three- digit integers greater than 700, how many have two digits W that are equal to each other and the remaining digit different from the other two?
A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of three cubic feet. If a large block has twice the width, twice the depth, and three times the length of a normal block, what is the volume of cheese in a large block in cubic feet?
A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
The length of the longest tape in cm which can be used to measure exactly, the length 10m; 3m 85cm; and 11m 50cm is:
If y exceeds x by 35%, then x is less than y by?
The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is :
There are 2 sections A and B in a class, consisting of 16 and 14 students respectively. If the average weight of section A is 20kg and that of section B is 25kg, Find the average of the whole class?
A jar full of whiskey contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohols and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is
Two trains of length 300 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 90 kmph. In how much time will the trains cross each other?
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
By selling an umbrella for Rs. 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three have 5 each?
A company has issued 500 preferred shares and 400 common shares both of par value Rs. 100 each. The dividend on a preferred share and a common share is 8% and 12%, respectively. The company had a total profit of 150000 rupees out of which some amount was kept in reverse fund and the remaining disturbed as dividend. Fin...
A waitress's income consists of her salary and tips.During one week ,her tips were 11/4 of her salary.What fraction of her income for the week came from tips?
If the sum of one-third and one-half of a number exceeds two-third of a number by 5, the number is
What least number mustbe subtracted from 427398 so that remaining no.is divisible by 15
The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
A man gets a simple interest of Rs.800 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
How should we mix two rice packets to get one 1kg packet priced at Rs 8 when the prices of 1 kg packets of the two types are Rs 7.1 and Rs 9.2.
If DON is coded as 18 and MASS is coded as 29 Then KING is coded as
A reduction of 30% in the price of oil enables a house wife to obtain 9kgs more for Rs.900, what is the reduced price for kg?
A company bought for its 7 offices 2 computers of brand N and 4 computers of brand M. In how many ways could computers be distributed among the offices if each office can have only 1 computer.
How many 4 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a consonant, and each letter can be used only once?
At a party, there were five times as many girls as boys and three times as many adults as children. Which of the following could NOT be the number of people at the party?
The price of rice falls by 20%. How much rice can be bought now with the money that was sufficient to buy 10 kg of rice previously?
If a population of women in a town is 80% of men . What is the population of men as a % of population of women ?
What proximate value should come in place of the question mark (?) in the following question? 8.595 × 1084 + 2568.34 – 1708.34 = ?
A financier claims to be lending money at simple interest, But he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes.
What percent of 120 are 90?
for doing any work A take 50% more time than B.if both together finish the work in 18 days,then B alone in how much days finish the work?
A shopkeeper has 100 kg of apples. He sells 50% of these at 25% profit and remaining 50% at 30% profit. Find his % profit on total.
Tough and Tricky questions: Word Problems. It takes Sarah 14 minutes to do one oil change, and it takes Alice 10 minutes. If Sarah and Alice both begin doing oil changes at exactly 9:00 a.m. without pausing, when is the first time at which they will finish changing the oil of a car simultaneously?
John’s salary is reduced by 40% and then reduced salary is increased by 40%. Find ,how many percentage his present salary is less as compared to his previous salary?
What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?
What is the least possible product of 4 different integers, each of which has a value between –1 and 10, inclusive?
The average weight of 16 kids in a class is 50.25 kg and that of the remaining 8 kids is 45.15 kg. Find the average weights of all the kids in the class.
At what time between 5.30 and 6 will the hands of a clock be at right angles?
A tradesman by means of his false balance defrauds to the extent of 10%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?
Evaluate: 6502.5 + 650.25 + 65.025 + 6.5025 + 0.65025
A water tank is three-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?
Look at this series: 1,4,9,16,... What number should come next?
4 weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 10 weavers in 10 days?