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big_math_dataset

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The car A has 1.5 times the price of car B which is Rs.250000 more. What is the price of car B?
A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 40,000. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?
In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 1) lies inside the circle and the point (4, -3) lies outside the circle. If the radius r of the circle r is an integer then diameter ?
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 10 cm.
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 30 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
R campers fished for 6 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour?
If 0 < x < 5 and -2 < y < 9, then the lowest possible value for xy is
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 70 km downstream.
There is a clock which shows false timing ie it shows 10 minutes less for each 1 hour....if the clock shows 12 noon now how many minutes will be lost when it shows 3 pm ?
A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $7.50. If the company’s latest order required a truck with at least 336,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
In a group of 8 semifinalists, all but 2 will advance to the final round. If in the final round only the top 3 will be awarded medals, then how many groups of medal winners are possible?
In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum?
Which of the following inequalities is equivalent to −8 < x < 6?
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag WITH replacement. What is the probability that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/6 the total number of upgraded sensors on the entire satellite, what fraction...
Sakshi can do a piece of work in 30 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
If n = 8^8 – 8, what is the units digit of n?
By mixing two qualities of pulses in the ratio 2: 3 and selling the mixture at the rate of Rs 22 per kilogram, a shopkeeper makes a profit of 10 %. If the cost of the smaller quantity be Rs 14 per kg, the cost per kg of the larger quantity is:
In a stream running at 2kmph,a motor boat goes 6km upstream and back again to the starting point in 33 minutes.find the speed of the motorboat in still water.
Four years ago,the father’s age was three times the age of his son.The total of the ages of the father and the son after four years,will be 64 years.What is the father’s age at present ?
In a certain game, you pick a card from a standard deck of 52 cards. If the card is a spade, you win. If the card is not a spade, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a spade, and the point is to measure how many draws did it take ...
The population of a town is 15000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?
Virat buys an old car for Rs. 50000 and spends Rs. 6000 on its repairs. If he sells the scooter for Rs. 70000, his gain percent is:
A pipe can fill a cistern in 88 minutes. Find the time in which 1/11 part of the cistern will be filled?
A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6000?
John has on his shelf four books of poetry, four novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
City A's population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have same population?
Alex deposited x dollars into a new account that earned 7 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 ...
For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 1/5, what are the odds of it burning out during the period from...
Arrange the following in a logical order: 1. Birth 2. College 3. Marriage 4. School 5. Employment
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is
The average of seven numbers is 55. If one number is excluded, the average becomes 52. The excluded number is:
Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?
For how many values of Q, is |||Q - 5| -10| -5| = 2? (Those ls are mods)
It takes Avery 3 hours to build a brick wall while Tom can do it in 3 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
If n + 11 is a positive odd integer, which of the following must be true about the sum of the next four integers?
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?
If 213 × 16 = 3408, then 1.6 × 21.3 is equal to :
Mary is about as many days as John in weeks, and Mary is as many months as Robert in years. Mary, John and Robert together are 144 years. Can you tell me Robert’s age in years?
A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 100 more than A :
A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours?
For what value of x will the function f(x) = -3(x - 10)(x - 4) have a maximum value? Find the maximum value.
The odds against ram solving the problem are 4 to 3 and the odds in favour of krishna solving the same are 6 to 5. What is the chance that it will be solved when they both try?
A jogger running at 9 km/hr along side a railway track is 200 m ahead of the engine of a 200 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a rate of 3 feet per second. Once Bill reaches the grou...
If x is a positive integer, which of the following could NOT be the square of x?
The product of two successive numbers is 4556. Which of the following is the larger of the two numbers?
If x^2 + 1/x^2 = 2,what is the value of x^4 + 1/x^4 ?
If (5)(x^2) has three different prime factors, at most how many different prime factors does x have?
A palindrome is a number that reads the same forward and backward, such as 242. How many even five-digit numbers are palindromes?
At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 1/2 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
If 7/6 of a pencil is purple, 4/3 of the remaining is black and the remaining 1/2 is blue, what is the total length of the pencil?
Given 2 integers a and b, if a is negative and b is positive, which of the following options must be positive?
Sn = n^2 + 5n + 94 and K = S6 – S5 + S4 + S3 + S2 – S1. What is the value of K?
Find the invalid no.from the following series 15 46 63 71 75 77 78
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 15%, then the cost price of the article is:
A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the bag, how many coins are there in that bag?
James just found out that has to work a 12 hour shift on Christmas Day, from 3pm until 3am. Since that day is a national holiday, he will get paid 2 times his normal hourly rate for the entire shift. Additionally, the state he lives in has a law that requires an overtime rate, equal to 1.5 times the shift's hourly rate...
Shop Offered 25% offer for every Shirt, Smith bought a shirt at Rs. 560. and What was the shop's original selling Price?
When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.05, what is value of J?
A, B, K start from the same place and travel in the same direction at speeds of 30km/hr, 40km/hr, 60km/hr respectively. B starts four hours after A. If B and K overtake A at the same instant, how many hours after A did K start?
Find the compound interest and the amount on Rs.3000 at 5% per annum for 3 years when C.I is reckoned yearly?
How many three-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number.
A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length W of the fence including the fence posts on each end?
If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/25, then the reciprocal of n must be
A rainstorm increased the amount of water stored in State J reservoirs from 130 billion gallons to 160 billion gallons. If the storm increased the amount of water in the reservoirs to 80 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the s...
In a office work is distribute between p persons. If 1/7 members are absent then work increased for each person is?
Two persons start running simultaneously around a circular track of length 500 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
A certain telescope increases the visual range at a particular location from 80 kilometers to 150 kilometers. By what percent is the visual range increased by using the telescope ?
The volumes of two cones are in the ratio 1 : 20 and the radii of the cones are in the ratio of 1 : 5. What is the length of the wire?
A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have ?
The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
What is cost price of an article sold by a trader at 15% loss, given that the trader would have made a profit of 6% if he had sold it for $30 more?
Mangala completes a piece of work in 20 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
If the terms of a series are either2or24and the sum of all the terms F of the series is 124, then which of the following could be the number of2sin the series?
The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is
In the rectangular coordinate system, if the line x = 4y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?
One out of every 500 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 14 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 10 years older than Larry, how old is Annie?
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
A watch passes through three hands and each gains 25%. If the 3rd sells it for Rs250, what did the 1st pay for it?
The mean proportional between 4 and 16 is?
In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what X percentage of those asked favoured mo...
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?
Max owns 200 shares of stock A and 180 of stock b. Last month the stocks had gained and lost the amounts shown below. What was Max's net gain or loss for the month? Stock Gain/Loss A 200 -18 B 180 40
A can run 4.5 km distance in 1 min 30 seconds, while B can run this distance in 3 min. By how much distance can A beat B?
Which of the following equations describes a line that is perpendicular to y=x+4?
The ratio of ages of Aman, Bren, and Charlie are in the ratio 5:8:7 respectively. If 5 years ago, the sum of their ages was 75, what will be the age of Aman 10 years from now?
A man borrowed Rs.10000 from a lender at 9% p.a rate of interest. Find the amount to be paid by the man after 2years 6months?
The amount of water (in ml) that should be added to reduce 18 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 35. Find the profit percentage?
If Tim had lunch at $50.50 and he gave 10% tip, how much did he spend?
Two pipes can fill a tank in 15 hours and 30 hours. While the 3rd pipe empties the full tank in 45hours. If all the 3 pipes are open in how much time will the tank be filled?
Cara and Dan drive at constant speeds toward each other on a highway. Cara drives at a constant speed of 32 km per hour. At a certain time they pass by each other, and then keep driving away from each other, maintaining their constant speeds. If Cara is 110 km away from Dan at 7 am, and also 110 km away from Dan at 11 ...
Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Of the 3,600 employees of Company X, 16/25 are clerical. If the clerical staff were to be reduced by 1/4, what percent of the total number of the remaining employees would then be clerical?
What is the probability of getting at least one six in a single throw of three unbiased dice ?