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big_math_dataset

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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?
What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9. I.The number is multiple of 51. II.The sum of the digits a and b is 6.
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?
The average monthly salary of 8 workers and one supervisor in a factory was 430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.Whenthesupervisor,whosesalarywas430. When the supervisor, whose salary was 870 per month, retired, a new person was appoin...
The speed of the boat in still water in 12 kmph. It can travel downstream through 54 kms in 3 hrs. In what time would it cover the same distance upstream?
Best friends Sprite and Icey have are playing a game of marbles. They invite 7 of their friends to play with them. There are 36 marbles in the bag. If all 9 people are playing, how many marbles does each person get?
There are 10 chickens in a poultry firm and a pair of chicken is to be selected for a meal. At most, how many different pairs are possible?
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 200. The dividend from the stock is :
Rick deposited $700 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 35% profit?
A computer manufacturer produces a certain electronic component at a cost of $100 per component. Shipping costs for delivering the components are $2 per unit. Further, the manufacturer has costs of $10,000 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and s...
A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 3,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
A worker is paid a regular rate of Rs.10 for completing a survey. The worker completes 100 surveys per week. For any survey involving the use of her cellphone, she is paid at a rate of that is 30% higher than her regular rate. If she completed 60 surveys involving the use of her cellphone, how much did she get that wee...
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?
If 4 boys can color 60 m long cloth in 3 days, then 6 boys can color 36 m long cloth in
If k^3 is divisible by 180, what is the least possible value of integer k?
An automobile financier claims to be lending money at S.I., 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?
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?
The average weight of A, B and C is 45 kg. If the average weight of A and B be 41 kg and that of B and C be 43 kg, then the weight of B is:
reema has 25 mangoes.srujana has 13 mangoes. Totally how many mangoes they have in all?
A drama group that must consists of 7 members is to be formed from a pool of 10 candidates. How many different groups are possible?
If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is
What is the sum of all the multiples of 3 between 30 and 80?
A man’s current age is (2/5) of the age of his father. After 6 years, he will be (1/2) of the age of his father. What is the age of father at now?
How much is 80% of 40 is greater than 4/5 of 25?
There are 18 teams in the hockey league, and each team faces all the other teams 10 times each. How many games are played in the season?
A freight elevator can carry a maximum load of 1100 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between the...
If A and B can do a piece of work in 7.5 days. If B works 1/2 of work and remaining work was completed by A, taking total time of 20 days to complete the work. If b is more efficient then B can do work in how many days?
There are three different hoses used to fill a pool: hose x, hose V, and hose z. Hose x can fill the pool in a days, hose V in b days, and hose z in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true? I. d<c II. d>b III. ...
Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 5 less, he would have made a profit of 10%. The C.P. of the article was
If A speaks the truth 40% of the times, B speaks the truth 80% of the times. What is the probability that at least one will tell the truth
Three coins are tossed. What is the probability of getting at most two tails?
The greatest possible length which can be used to measure exactly the length 6m, 4m 30cm, 4 m is
Set A consists of all the prime numbers between 62 and 85. What is the range of set A?
For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the mean score T for the exam?
How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 25 percent butterfat to obtain milk that is 20 percent butterfat?
A security guard at a certain store is instructed to check the receipt of one out of every five customers as they are leaving the store. If, on the guard's shift, 16 customers leave the store, how many different samples of customers could have been selected to have their receipts checked?
The average salary of all the 60 employees in an office is Rs. 12,000 per month. if the number of executives is twice the number of non executives employees, then the average salary of all the non executives employees is
A is a working partner and B is a sleeping partner in a business. A puts in 80,000 and B 70,000. A gets 25% of the profit for managing the business, and the rest is divided in proportion to their capitals. Find the profit if B get 14000.
What is the least whole number that should be added to 625573 if it is to be divisible by 3?
Seven fencers participate in a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount R in 1996 as they paid in 1995?
In how many ways can you seat 5 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band?
The average age of a husband, wife and their child 19 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
It is currently 7:16 PM. At what time in the morning was it exactly 19,443 minutes earlier?
A man has some hens and cows. If the number of heads be 46 and the number of feet equals 140, then the number of hens will be:
Sony and Johnny caught 60 fishes. Sony caught four times as many as Johnny. How many fishes did Johnny catch?
Set M contains number that satisfy the condition that, if integer x is in the set then x + 1 will also be in the set M. If -4 is one value in the set, which of the following values must also be present in the set M? I) -6 II) -2 III) 2
3 candidates in an election and received 2136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
In one year, the population, of a village increased by 12% and in the next year, it decreased by 12%. If at the end of 2nd year, the population was 14784, what was it in the beginning?
How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
In a certain match all the teams were to play with each other. If there are 15 teams, how many matches will have to be played?
The area of a circle is increased by 1500%. By what percent has the diameter of the circle increased?
If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/w, which of the following statements could be false?
Solve the inequality {(x^2)-7|x|+10}/{(x^2)-6x+9}
A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ?
There are 66 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Wednesday, what was the expected day when both the brothers were to return home and when did Rohit Return?
A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
Total value of the quantity sold for item C is what per cent of the total value of the quantity sold for Item E?
P can do a work in 12 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.
If m and n are positive integers and m^2 + n^2 = 58, what is the value of m^3 + n^3?
A man can row downstream at 28 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
A man has Rs. 640 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
The owner of a furniture shop charges his customer 25% more than the cost price. If a customer paid Rs. 4800 for a computer table, then what was the cost price of the computer table?
M is the sum of the reciprocals of the consecutive integers from 501 to 600, inclusive. Which of the following is true?
A train 200 m long passed a pole in 20 sec. How long will it take to pass a platform 610 m long?
A bag contains 6 black and 6 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Two trains are moving in the same direction at 162 kmph and 18 kmph. The faster train crosses a man in the slower train in 33 seconds. Find the length of the faster train?
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?
By mixing two brands of coffee and selling the mixture at the rate of $177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing $200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
6 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
A 260 metres long train runs at a speed of 55 Kmph.How much time will it take to cross a Platform 290 meters long?
For every positive integer n, the nth term of a sequence is the total sum of three consecutive integers starting at n. What is the total sum of terms 1 through 70 of this series?
A rectangular circuit board is designed to have width w inches, perimeter p inches, and area r square inches. Which of the following equations must be true?
The length of a rectangular floor is more thanits breadth by 200%. If Rs.324 is requiredto paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium. If his company declares 5% dividend at the end of the year, then how much does he get?
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 90?
Count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?
Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 87 floors per minute. At the same time Joyce gets on an elevator on the 71st floor of the same building and rides down at a rate of 93 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
Suppose the operation * is dened on the set of integers by a*b = a+2b. Then for every two integers a and b, the value of a*(b*a) is the same as
What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, 43 , 46 x
Heena covers a distance in 40 min , if she drives at a speed of 60 km/h on an average. Find the speed at which she must drive at to reduce the time of the journey by 60%.
If a and b are consecutive integers (b>a), which of the following statements could be false? 1. a^4+b is always even number. 2. a^2*b is always even number 3. (a + b) is always an odd number.
a,b,c,d, sitting in a row what is the probability that a & b sitting adjacent.
A classroom has equal number of boys and girls. SEVEN girls left to play kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially?
9 - 3 ÷ 1/3 + 4 = ?
A cistern is fille in 8 hours and it takes 12 hours when there is a leak in its bottom. If the cistern is full, in what time shall the leak empty it?
A cube is divided into 343 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colo...
The average (arithmetic mean) of the integers from 25 to 225, inclusive, is how much lower than the average of the integers from 50 to 1050 inclusive?
If 10! × 10!/10^n is an integer, what is the largest possible value of n?
What least number mustbe subtracted from 427398 so that remaining no.is divisible by 15
The perimeter of a semi circle is 144 cm then the radius is?