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big_math_dataset

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A certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 6 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
If mn > 0, which of the following must be negative?
Sourav walks 20 meters towards North. He then turns left and walks 40 meters. He again turns left and walks 20 meters. Further, he moves 20 meters after turning to right. How far is he from his original position?
A set of numbers has the property that for any number t in the set, t + 1 is in the set. If -1 is in the set, which of the following must also be in the set? I. 3 II. 1 III. 5
The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Machines P and Q are two different machines that cover jars in a factory. When Machine P works alone, it covers 1500 jars in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 1500 jars in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its con...
If 2x/|y| = -16 which of the following must be true?
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?
Find the fourth proportion to 6,12,18
A car takes 6 hours to cover a distance of 360 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Two trains start simultaneously from opposite ends of a 160-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 160-km trip in 5 hours. Train Y, travelling at a constant rate, completes the 160-km trip in 3 hours. How many kilometers had Train X traveled when i...
Set S consists of integers {1,2,3,4}. If two numbers are chosen from set S at random, what is the probability that the sum of 2 numbers is more than 6?
What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
One hour after Yolanda started walking from X to Y, a distance of 65 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 5 miles per hour and Bobâs was 7 miles per hour, how many miles had Bob walked when they met?
The greatest possible length which can be used to measure exactly the length 3m ,6m 85cm, 8m 95 cm is?
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 3 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for fi...
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
A sum of money doubles itself at a compound interest in 15 years . In how may years it will become 8 times ??
In a school there are 20 balls for every 200 players. If the school has 600 players, how many balls are required?
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
The compound ratio of 1:4, 3:2 and 4:5?
A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
if v,w,x,y,z are non negative integer, each less than 11,then how many distinct combinations(w,v,x,y,z) satisfy v(11^4)+w(11^3)+x(11^2)+y(11)+z=151001.
If 9 is a factor of 2x, then which of the following may not be an integer?
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 9% microphotonics; 14% home electronics; 10% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportiona...
How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 35 percent alcohol?
3,5,8,13,22,__
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 19-inch screen would be how many square inches greater than the area of a square 17-inch screen?
The banker's gain of a certain sum due 3 years hence at 10% per annum is Rs. 36. What is the present worth ?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
The cost price of a Rs. 100 stock at 4 discount, when brokerage is 1/5% is
If I, J and K are digits and 9IJK is a 4-digit number that is divisible by 5, which of the following is a possible product of I, J and K?
If 2/3 of A=75% of B=0.6 of C, then A:B:C is
The average number of shirts with Salman, Ambani and Dalmiya is 54, if all of them reached a shopping mall in Delhi and purchased 8 shirts each of them then average number of shirt each of them now has
The product of Diana's age, in years, and a third of Rashid's age, in years, is 32. If Diana is 4 years older than Rashid is, then how old is Rashid ?
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Jack and Christina are standing 240 feet apart on a level surface. Their dog, Lindy, is standing next to Christina. At the same time, they all begin moving toward each other. Jack walks in a straight line toward Christina at a constant speed of 3 feet per second and Christina walks in a straight line toward Jack at a c...
Find the area of a parallelogram with base 24 cm and height 16 cm?
There are six cards in which it has two king cards. all cards are turned down and two cards are opened what is the possibility to get at least one king.
In a camp,there is a meal for 120 men or 200 children.If 120 children have taken the meal,how many men will be catered to with the remaining meal ?
For an international Mathematics Olympiad, country D will send six delegates in total — two will be supervisors and four will be contestants. There are 210 ways in which the six delegates can be chosen and there are seven candidates competing for the four contestants’ places available. How many candidates are competing...
What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
A train 100 m long pass a telegraph pole in 5 seconds. Find the speed of the train
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. What is the present age of the mother?
Bill has a collection of new and used trading cards that he stores in two albums. His first album contains 200 cards, 60% of which are used. If 90% of the cards in his second album are used, and 65% of all of his cards are used, what is the total number of trading cards in Bill’s collection?
A phone manufacturer has 4 different types of phones namely: x1, x2, x3, and x4. if x2 costs 12% less than x1 and x3 costs 15% lesser than x2, and x4 costs 5% less than x3. what percent of x1's cost is x4?
If two 2-digit positive integers have their respective tens digits exchanged, the difference between the pair of integers changes by 4. What is the greatest possible difference between the original pair of integers?
find cp when sp =Rs 40.60 : gain=16%
An error 2% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
Find the day of the week on 16th july, 1776.
A train 125 m long passes a man, running at 12 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Rs.2600 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
The value of (.02)2 + (0.52)2 + (0.035)2/ (0.002)2 + (0.052)2 + (0.0035)2
There are 2 sections A and B in a class, consisting of 30and 20 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class?
In Arun's opinion, his weight is greater than 61 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 64 kg. If all of them are correct in their estimation, what is the average...
When a merchant imported a certain item, he paid a 9 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $67.50, what was the total value of the item?
The present age of a father is 4 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father.
A man can row upstream at 10kmph and downstream at 20kmph. Find man's rate in still water ?
The difference between a number and its two-fifth is 510. What is 30% of that number?
By selling an article at Rs.1000, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Out of first 40 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -.
If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,861,997 minutes earlier? (Assume standard time in one location.)
Jacob is now 12 years younger than Michael. If 3 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years?
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:
In a 50-mile trip, the first 10 miles were completed at 50 mph. If the average speed for the whole trip was 60 mph, what was the average speed in the last 40 miles?
The digital sum of a number is the sum of its digits. For how many of the positive integers 24-140 inclusive is the digital sum a multiple of 7?
0.03 x 0.35=?
If x is 20 percent greater than 80, then x =
h, b, c, and d are positive integers. If the remainder is 9 when h is divided by b, and the remainder is 5 when c is divided by d, which of the following is NOT a possible value for b + d?
The average of first 15 natural numbers is?
Evaluate: 30 - 12÷3×2 = ?
the sum of 5th and 21th term of A.P. is equal to the sum of 8th , 15th and 13 th term . find the term which is 0
A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
In a sports club with 30 members, 17 play badminton and 19 play tennis and 3 do not play either. How many members play both badminton and tennis?
In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes
In a basket 7 apples are available. Jack wants to take 5 apples.In how many ways to choose apples?
Two numbers N and 14 have LCM = 56 and GCF = 10. Find N.
The operationis defined for all integers a and b by the equation ab = (a - 1)(b - 1). If x15 = 98, what is the value of x ?
The price of a certain car this year is $ 42,000, which is 25 percent greater than the cost of the car last year. What was the price of the car last year?
Find the odd man out 3, 8, 15, 24, 34, 48, 63
By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
When x divided by 288, the remainder is 47. Find the remainder when the same x is divided by 24?
What is the last digit in(7^95 - 3^58)?
The sector of a circle has radius of 21 cm and central angle 130o. Find its perimeter?
In a camp, there is a meal for 110 men or 180 children. If 145 children have taken the meal, how many men will be catered to with remaining meal?
Find the odd man out. 23, 27, 36, 52, 77, 111, 162
A watch was sold at a loss of 10%. If it was sold for Rs.225 more, there would have been a gain of 5%. What is the cost price?
A train 100 m long crosses a platform 125 m long in 2 sec; find the speed of the train?
If x is an integer, then x(x - 1)(x - m) must be evenly divisible by three when m is any of the following values EXCEPT
A train 400 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
sale of Rs 6835, Rs. 9927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 7000 ?
What is 990*990?