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big_math_dataset

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Ana climbs up stairs 20 floors building and back. She takes the exact same route both ways. On the trip up she climbs an average speed of 2 steps per second. On the trip back she climbs down at an average speed of 4 steps per second. What is her approximate average speed for the round trip in miles per hour?
A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 6 hats randomly out of the drawer and returning each hat before taking out the next one?
The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 1 year ago?
For any non-zero a and b that satisfy |ab| = -ab and |a| = -a, |b-4| + |ab-b| =
A train passes a 50 metres long platform in 14 seconds and a man standing on the platform in 10 seconds. The speed of the train is:
A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many F ways can the test be completed if every question is unanswered?
A grocer has a sale of Rs. 6400, Rs. 7000, Rs. 6800, Rs. 7200 and Rs. 6500 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
In a room there are 11 people. Each person shook hands with every other person. How many hand shakes were there?
What is the dividend. divisor 16, the quotient is 8 and the remainder is 4
How many total number of ways in which y distinct objects can be put into two different boxes is
Find the number of ways in which 7 different beads can be arranged to form a necklace.
Five pieces of wood have an average length of 126cm and a median length of 140cm. What is the maximum possible length, in cm, of the shortest piece of wood?
A Vendor sells 10 clips for a rupee gaining thereby 40%. How many clips did he buy for a rupee?
If c is an even integer and c/18 is an odd integer, which of the following is NOT an even integer?
Out of nine consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels?
7 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the...
Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is?
If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
The length of a rectangle is halved, while its breadth is tripled. What is the % change in area?
The largest 5 digit number exactly divisible by 91 is?
5^100 is divided by 18 then what is the remainder?
In Smithtown, the ratio of right-handed people to left-handed people is 3 to 1 and the ratio of men to women is 3 to 2. If the number of right-handed men is maximized, then what S percent of all the people in Smithtown are left-handed women?
60kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3:2 and alloy B has tin and copper in the ratio 1:4, then the amount of tin in the new alloy is?
Find the highest common factor of 36 and 84.
In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 5720 votes were polled, then how many valid votes did B get?
People are allowed to add an apple or take an apple from a large barrel. If people are only adding apples, the barrel can be filled in 5 hours. If people only take apples, the barrel can be emptied in 15 hours. If it is desired that the barrel should be filled, from empty, exactly 6 hours after people begin adding appl...
A women walking at 4 Kmph reaches her office 8 minutes late. If she walks at 6 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
A began business with 12500 and is joined afterwards by B with 25000. When did B join, if the profits at the end of the year are divided equally?
At a circular table for ten will sit eight adults and two small children. The two children will sit next to each other, and the two parents of the children will sit next to the children so that there is one parent on each side of the two children. If rotating their positions around the table is not considered changing ...
The perimeters of two squares are 60 cm and 40 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares?
Of the diplomats who attended a summit conference: 20 spoke Latin, 32 did not speak Russian and 20% of the diplomats spoke neither Latin nor Russian. If 10% of the diplomats spoke both Latin and Russian, then how many diplomats attended the conference?
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
If 0.75: x :: 5:7, then x is equal to:
If a man crosses a 650 m long street in 5 minutes. What is his speed?
The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?
Two dogsled teams raced across a 300 mile course in Wyoming. Team A finished the course in 3 fewer hours than team E. If team A's average speed was 5 mph greater than team E's, what was team E's average mph?
Find the largest 6 digit number which is exactly divisible by 88?
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
How many of the positive divisors of 600 are also multiples of 4 not including 600?
A bookseller has two display windows. She plans to display 4 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two ...
How many even 4-digit integers greater than 8000 are there such that all their digits are different?
A marketing firm determined that, of 200 households surveyed, 80 used neither Brand K nor Brand B soap, 60 used only Brand K soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?
John deposited $10,000 to open a new savings account that earned 2 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?
If 3<(7-x)/3, which of the following must be true? I. 5<x II. |x+3|>2 III. -(x+5) is positive
Listed below are the mean temperatures measured in the Tokharian desert in a certain month. What is the median temperature T in that particular month? Mean Temp (C°) No. of days 29 --------------------> 5 30 --------------------> 11 31 --------------------> 8 32 --------------------> 6
Which among the following integers represents a sum of 3 consecutive even integers?
Find the number of terms in the series 8, 12, 16, . . .72
As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 25%, what is the probability that Karen will be accepted to at least one project?
AB +BA ___ 202 In the addition problem above, A and B represent digits in two different two-digit numbers. What is the sum of A and B?
The weight of every type A widget is the same, the weight of every type B widget is the same, and the weight of every type C widget is the same. If the weight of 7 type A widgets is equal to the weight of 2 type B widgets, and the weight of 3 type B widgets is equal to the weight of 7 type C widgets. What is the ratio ...
A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?
The set S consists of 5 numbers: {1,2,3,4,5}. If all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 4 or 5 as its largest number?
What will be 50 percent of a number whose 200 percent is 90 ?
The difference between the local value and the face value of 6 in the numeral 85475641 is
A gambler bought $3,000 worth of chips at a casino in denominations of $30 and $100. That evening, the gambler lost 16 chips, and then cashed in the remainder. If the number of $30 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have receive...
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ? A. 160 B. 175 C. 180 D. 195 Explanation:
When positive integer s is divided by 6, the remainder is 1. Which of the following must be true? I. s is a prime number II. s is odd III. s is divisible by 7
If a carpenter completes 3/8th of his work in 6 days, then how many more days will he require completing his remaining work?
Listed below are the mean temperatures measured in the Tokharian desert in a certain month. What is the median temperature Q in that particular month? Mean Temp (C°) No. of days 29 --------------------> 5 30 --------------------> 11 31 --------------------> 8 32 --------------------> 6
A man can row upstream at 10kmph and downstream at 28 kmph. The speed of the stream is
Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed T?
A certain stock exchange designates each stock with a two-letter or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely des...
Which of the following must be true if b=x^5 I. b is positive. II. x is non-negative. III. If x is positive then b is positive.
If 2 >p > 1> q > 1, which of the following must be greater than 1? I. p/q II. pq III. p-q
The average of 9 numbers is 104. Average of the first 5 of them is 99 and that of the last 5 is 100. Find the 5th number?
There are 28 stations between Kolkatta and Chennai. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
A student,after his teacher's question, chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
If Y > X and XM < YM, what must be true?
The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
A simple interest amount of rs 5000 for six month is rs 200. what is the anual rate of interest?
f n = 3^5 - 2^5, which of the following is NOT a factor of n?
In how many ways can be 6 boys and 6 girls sit around circular table so that no two boys sit next to each other?
A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1480?
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
A car owner buys petrol at 7.50, 8.00 and 8.50 per litre for three successive years. What approximately is his average cost per litre of petrol if he spends 4000 each year?
128% of 5/8 =
0, 1, 2, 4, 6, 9, 12, 16, ? What number should replace the question mark?
The product of x and y is a constant. If the value of x is increased by 60%, by what percentage must the value of y be decreased?
Two trains 300 m and 450 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
By selling 33 metres of cloth , one gains the selling price of 11 metres . Find the gain percent .
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 30%?
a, b, c are non negitive integers such that 28a+30b+31c = 365. a + b + c = ?
Write 880,000,000,000 in scientific notation.
If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
If n is a prime number, which of the following could be true
How many multiples of 4 are there between 20 and 112, inclusive?
If w is 40 percent less than u,u is 40 percent less than y, and z is 46 percent less than y, then z is greater than w by what percent of w?
A certain company’s profit in 1996 was 20 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995?
Pat's watch gains an extra 10 seconds every 3 hours. Kim's watch loses 4 seconds every 2 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 36 hours, what will be the difference in time between Pat's watch and Kim's watch?
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 50 paisa and Z gets 40 paisa. If the share of X is RS. 30, what is the total amount?
Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that,...
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $240, what were her original savings?
A apple costs Rs 20 each and a watermelon costs Rs. 7 each. If I spend Rs 47 on total what is the number of apple I purchased?
Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, 90 are on physics. 30 are on geology, and 100 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately?
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 3000. The difference between the profit shares of A and C is?
In 1979 approximately 1/3 of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport and 5 times the number that used Logan Airport, approximately how many millions of these pas...
What will come in place of the x in the following Number series? 5, 10, 20, x , 55
In a certain pond, 50 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`s the approximate number of fish in the pond?
A man had to make 3 trips to the store because he kept forgetting items his wife had requested. The store was 500 meters from his home. It took the man 45 minutes to complete the store run. What was the man's speed in kilometers per hour.