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big_math_dataset

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Which of the following inequalities is equivalent to −8 < x < 4?
The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 4hrs if the speed of the bike is twice speed of the tractor?
Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 5:1 and 6:4 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
If A:B = 1/3: 1/3 B:C = 1/2:1/3 then A:B:C?
How many different arrangements of letters are possible if three letters are chosen from the letters A through I and the letters E and A must be among the letters selected?
Two trains 135 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Of the 200 stamps in a collection, 90 are foreign and 80 are more than 10 years old. If 20 stamps are both foreign and more than 10 years old, how many stamps are neither foreign nor more than 10 years old?
What percent of a day is 6 hours?
Vijay sells a cupboard at 12% below cost price. Had he got Rs.1500 more, he would have made a profit of 12%. What is the cost price of the cupboard?
A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
If w,x,y,z are consecutive positive integers ; then which of the following is always odd? [1] w*x+(y+2)^2*z [2] w^x + z^y [3] 51y
The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 4 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
If x,y ,and z are positive real numbers such that x(y+z) = 62, y(z+x) =82 , and z(x+y) = 100, then xyz is
If a function f is defined by f(x)= -1/x for all non zero numbers x. If f(a) = -1/3 and f(ab) = 1/9 then b= ?
Nicole cycles at a constant rate of 20 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 40 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
For the symbol, m”n=n^2−m for all values of m and n. What is the value of 5”3?
5 books consisting of 2 financial management, 2 marketing management and 1 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together.
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
The Guests at a football banquet consumed a total of 406 pounds of food. if no individual guest consumed more than 2.5 pounds of food, What is the minimum number of guests that could have attended the banquet?
A man invests some money partly in 12% stock at 108 and partly in 10% stock at 60.To obtain equal dividends from both,he must invest the money in the ratio :
John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $75. What is the percent decrease?
The value of (log9 27 + log8 32) is:
A train 120 m long passed a pole in 12 sec. How long will it take to pass a platform 380 m long?
If 2 + 2/x = 3 - 3/x, then x =
mixture contains alcohol and water in the ratio 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Larry, Michael, and Lily have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed?
A lady starts from P towards Q and realizes that at a point R, if he walks 50 km further he will be at a point S, which is as far away from R as it is from Q. What is the distance between P and Q if the distance between P and R is half the distance from R to Q?( Assume that P, Q, R and S are all on the same straight line)
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
A certain car can travel 32 kilometers on a liter of fuel. If the fuel tank’s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour? (1 gallon = 3.8 liters; 1 mile = 1.6 kilometers)
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
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 O?
If L is the least positive integer that is divisible by every integer from 1 to 9 inclusive, then L/2 is =
A cistern 9 m long and 6 m wide contains water up to a breadth of 2 m 25 cm. Find the total area of the wet surface.
Which number is the odd one out? 159 248 963 357 951 852
In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?
If the average of a sequence of consecutive multiple of 18 is 153, and the greatest term is 270, how many terms W in the sequence are smaller than the average?
150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration Q of the acid in the mixture?
In a simultaneous throw of 2 dice, what is the probability of getting a doublet?
The number 181 can be written as sum of the squares of 2 different positive integers. What is the difference of these 2 different integers?
Three-fourth of two-third of three-seventh of a number is 27. what is 10% of that number?
A merchant marks goods up by 80% and then offers a discount on the marked price. The profit that the merchant makes after offering the discount is 35%. What % discount did the merchant offer?
Anand and Deepak started a business investing Rs. 1500 and Rs. 2000 respectively. Out of a total profit of Rs. 1300, Deepak's share is:
Evaluate: (1 - 1/10)(1 - 1/11)(1 - 1/12)...(1 - 1/99)(1 - 1/100)
Amar takes as much time in running 22 meters as a car takes in covering 58 meters. What will be the distance covered by Amar during the time the car covers 2.6 km?
In a dairy farm, 55 cows eat 55 bags of husk in 55 days. In how many days one cow will eat one bag of husk ?
If $750 is deposited into a savings account at an annual interest rate of 4% that compounds monthly, what is the value of the investment after 6 years?
How many points (x, y) lie on the line segment between (15, 12 2/3) and (7, 17 2/3) such that x and y are both integers?
Two cards are drawn from a pack of 52 cards . the probability that either both are red or both are kings ,is
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 108 km/hr, what is the length of the platform?
A certain office supply store stocks 2 sizes of self-stick notepads, each in 6 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
The strength of a school increases and decreases every alternate year. It starts with increase by 10% and there-after the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2001 as compared to that in 1996?
The area of a square is equal to twice the area of a rectangle of dimensions 32 cm * 64 cm. What is the perimeter of the square?
If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
The average of six numbers is X and the average of three of these is Y.If the average of the remaining three is z, then
L = {3, 4, 5, 5, 6, 7} M = {2, 2, 2, 8, 8, 8} N = {15, 15, 15, 15, 15, 15} Rank those three sets from least standard D eviation to greatest standard deviation.
The arithmetic mean of 5 negative integers is -100. If the average of 3 of these integers is -90, what is the least possible value that one of the other 2 integers can have?
For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 75 terms?
A wheel rotates 20 times every minute and moves 30 cm during each rotation. How many metres does the wheel move in one hour?
In a one km race A gives B a start of 100m and in a one km race B gives a start of 80 m to C. In a 1 km race who will win and by how much distance from the worst performer between two losers?
How many 4-digit numbers contain no.2?
A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 300 revolutions. How many revolutions does the second wheel make in covering d feet?
If you divide 7^84 by 5, which remainder do you get?
In how many ways can 4 boys and 2 girls sit around a table in such a way that no two girls sit together?
A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be?
The sum of three consecutive even numbers is 20 more than the first of these numbers. What is the middle number?
In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 9 men and 9 women?
a number when divided by 899 gives a remainder 63. what remainder will be obtained by dividing the same number by 29
For the integer n, if n*n*n is odd, then what is true
How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 5, and the digit 2 can be used only once?
A fellow borrowed a certain sum of money at 6% per annum at simple interest and in 6 years the interest amounted to Rs.672 less than the sum lent. What was the sum lent?
The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is:
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
The reflex angle between the hands of a clock at 10.25 is
John and David can finish a job together in 3 hours. If John can do the job by himself in 4 hours, what percent of the job does David do?
During a certain week, a seal ate 55% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field?
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 3:1 and 6:4 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
How many two digit numbers of distinct digits can be formed by using digits 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 9?
The G.C.D. of 1.08, 0.36 and 0.9 is:
Set A: {1, 3, 4, 6, 9, 12, 16} If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 4?
There are 12 pieces of radioactive metal K that look identical. 11 of the pieces give the same radiation count when measured, the 12th piece is a counterfeit and gives a different radiation level, which may be more or less than the other 11. We are given a radiation scale, which can take 2 sets of samples and compare their added up radiation levels to tell us if the sums are the same or if different, which set has the higher level of radiation. What is the minimum number of comparisons we need on this scale to identify the counterfeit sample and to also determine whether it has more or less radiation than the other samples ?
The unit digit in the product 1457*7863*4575*9719 is?
A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5.4 hours, then the distance covered at 40 kmph is
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 39 degrees. Find the temperature on Friday?
The distance from City A to City B is 150 miles. While driving from City A to City B, Cara drives at a constant speed of 30 miles per hour. Dan leaves City A 90 minutes after Cara. What is the minimum constant speed in miles per hour that Dan must exceed in order to arrive in City B before Cara?
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 4: 00 p.m., at what time were there 32 million bacteria in the dish?
Three interviewers, E, F, and G are interviewing 40 applicants. Only with three interviewers' admission can an applicant be admitted. If interviewer E admitted F applicants, G admitted 17 applicants, and C admitted 20 applicants, at least how many applicants get the admission?
There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold 7 times as many paperback copies as hardback copies were sold. If a total of 441,000 copies of the novel were sold in all, how many paperback copies were sold?
Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
A glass was filled with 24 ounces of water, and 0.06 ounce of the water evaporated each day during a 12-day period. What percent of the original amount of water evaporated during this period?
Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 40 pages per hour. If Tom starts reading a novel at 4:30, and Jan begins reading an identical copy of the same book at 5:20, at what time will they be reading the same page?
If the sum of the 4th term and the 12th term of an arithmetic progression is 30, what is the sum of the first 15 terms of the progression?
four children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?