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big_math_dataset

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A bookseller has two display windows. She plans to display 2 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 display windows?
In an election, candidate A got 70% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate?
John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Primrose wants to buy hot cocoa for her 9 friends who she volunteers with at the Ohio No-Kill Animal Shelter. Hot cocoa costs $2.00 per cup. Primrose has $15.00 in her pocket. How much money will Primrose have to get from her purse to pay for the drinks?
A certain telescope increases the visual range at a particular location from 60 kilometers to 150 kilometers. By what percent is the visual range increased by using the telescope ?
40 is subtracted from 70% of a number, the result is 30. Find the number?
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 17. The larger of the two numbers is:
In digging a pond 20 m * 15 m * 5 m the volumes of the soil extracted will be?
Find the resultant profit if A sells a cupboard at a profit of 6% to B and B sells the same to C at a profit of 9%.
An inspector rejects 0.07% of the meters as defective. How many will he examine to reject 2?
A container holds 4 quarts of diesel and 4 quarts of petrol. How many quarts of water must be added to the container to create a mixture that is 3 parts dieselto 5 parts water by petrol?
Together, Andrea and Brian weigh p pounds; Brian weighs 20 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?
Present ages of X and Y are in the ratio 4:5 respectively. Five years hence this ratio will become 5:6 respectively. What is X's present age in years?
If the sum of a list of consecutive odd integers is 10, which of the following could be true? I. The average (arithmetic mean) of the list is equal to 10. II. The median of the list is equal to 10. III. The range of the list is equal to 10.
If six persons sit around a round table the probability that some specified three of them are always together is
Two trains 140m and 160m long run at the speed of 60kmph and 48kmph in opposite directions in parallel tracks. The time which they take to cross each other is?
Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $51 after it went on sale for 15% off, what is the difference between the original price and the final price?
Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 6% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit?
A room 5 m 44 cm long and 3 m 74 cm broad needs to be paved with square tiles. What will be the least number of square tiles required to cover the floor?
600 men have provisions for 20 days. If 200 more men join them, for how many days will the provisions last now?
A and B started a business investing Rs. 90,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
An article is bought for Rs.695 and sold for Rs.900, find the gain percent?
The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares?
A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5 km/hr, how much time will it take to cover the same distance?
What is the speed of the train? I.The train crosses a tree in 13 seconds. II.The train crosses a platform of length 250 metres in 27 seconds. III.The train crosses another train running in the same direction in 32 seconds.
m men agree to purchase a gift for rs D. if three men drop out how much more will each have to contribute towards the purchase of gift
There are 27 pearls in a bag. One among them is less in weight. You have been given 2 pan weight machine. In how many trials, you will be able to find the defected one?
In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit "5"? A. B. C D. E.
If P represents the product of the first 13 positive integers, which of the following must be true? I. P is an odd number II. P is a multiple of 17 III. P is a multiple of 19
If a > 1, which of the following is equal to (4a + 12)/(a^2 + 2a - 3)?
26 +27+28+29=110. How many such 4 consecutive numbers are there less than 2500 when added gives a sum which is divisible by 10?
A palindrome is a number that reads the same forward and backward, such as 196. How many odd, 4-digit numbers are palindromes?
A shopping cart contains only apples, oranges, and pears. If there are four times as many oranges as apples, and four times as many pears as oranges, then the apples are equivalent to what fraction of the pears?
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 29 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
If A got 80 marks and B got 50 marks, then what percent of A's mark is B's mark?
If it takes 8 identical printing presses exactly 4 hours to print 6,000 newspapers, how long would it take 4 of these presses to print 4,000 newspapers?
Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1340, how much does he invest in 12% stock at Rs. 120?
A man whose speed is 7 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 38?
A cistern 6 m long and 4 m wide contains water up to a breadth of 1 m 25 cm. Find the total area of the wet surface.
A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
A man started running at a distance of 225 metre from the train. If the speed of the man is 6 km/h, then how much time should the train wait so that the man will be just able to catch it ?
If the city centers of Tokyo and Paris are 6035 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)
What least number must be subtracted from 42739 so that remaining no.is divisible by 15
A library branch originally contained 18360 volumes, 30% of which were fiction novels. 1/3 of the volumes were transferred to another location and 1/3 of the volumes transferred were fiction novels. What percent of the remaining collection was fiction novels?
From among the 34 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
A store’s selling price of $2500 for a certain computer would yield a profit of 40 percent of the store’s cost for the computer. What selling price would yield a profit of 50 percent of the computer’s cost?
A wooden box of dimensions 8 m x 3 m x 6 m is to carry rectangularboxes of dimensions 8 cm x 3 cm x 2 cm. The maximum number ofboxes that can be carried in the wooden box, is
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
A pipe can fill a cistern in 20 minutes whereas the cistern when full can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
A large box contains 18 small boxes and each small box contains 28 chocolate bars. How many chocolate bars are in the large box?
Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ?
If X = 2 + 1/(1+1/(1-1/2))then the value of 3x+7/3?
The relationship between quantities m and n is expressed by the equation 25m = 5(n - 42). If the difference between the two chosen values of n is 30, what is the difference in the corresponding values of m?
By selling 99 pencil, a trader gains the cost of 33 Pencil. Find his gain percentage?
An anticraft gun can take a maximum of four shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first, second, third and the fourth shot are 0.4, 0.3, 0.2 and 0.1 respectively. What is the probability that the gun hits the plane.
Evaluate: 20 - 12÷12×2 =
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
In how many seconds will a train 150 meters long pass an oak tree, if the speed of the train is 36 km/hr?
If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
How many plants will be there in a circular bed whose outer edge measure 32 cms, allowing 4 cm2 for each plant ?
On my sister's 15th birthday, she was 159 cm in height, having grown 6% since the year before. How tall was she the previous year?
If in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows. What is the maximum number of runs that a batsman can score in an ideal case scenario?
A sum of money lent out at S.I. amounts to Rs. 780 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?
Three numbers are in the ratio 4 : 5 : 6 and their product is 76680. the largest number is
A present value of a machine is $1100. Its value depletion rate is 10% per annum then find the machine value after 2 years?
Three beakers namely A, B and C each contain 100 ml of spirit in water solution. The ratio of spirit to water in the beakers A, B and C is 1 : 3, 1 : 4 and 2 : 3 respectively. 40 ml of solution is transferred from beaker A to beaker C and than 28 ml of solution is transferred from beaker C to beaker B. Find the final ratio of spirit in the beakers A, B and C.
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.2 the sixth number is?
Jim drove 215 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
M = {-6, -5, -4, -3, -2} T = {-2, -1, 1, 2, 3} If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
When positive integer x is divided by positive integer y, the result is 59.32. What is the sum T of all possible 2-digit remainders for x/y?
A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 4 hours. Working alone, the outlet pipe can empty out the tank in 10 hours. If it is desired that the tank should be filled, from empty, exactly 6 hours after the inlet pipe is turned on at 9:30am, then at what time should the outlet pipe be opened ?
In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
If st > 0, which of the following must be negative?
If the cost price is 92% of sp then what is the profit %
What is the are of an equilateral triangle of side 10 cm?
The product of HCF and LCM of 18 and 15 is
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?
When a student Joe, weighing 45 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. Subsequently, if two students, excluding Joe, leave the group the average weight comes back to 30 kg. What is the difference between the average weight of the two students who left and the weight of Joe?
A number when divided by a certain divisor left remainder 251, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?
A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $60 to incur a loss 20%?
How many shots of 1cm radius can be prepared from a sphere of 4cm radius?
A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
Four usual dice are thrown on the ground. The total of numbers on the top faces of these four dice is 13 as the top faces showed 4, 3, 1 and 5 respectively. What is the total of the faces touching the ground?
M is a certain set of numbers with an average (arithmetic mean) of 10 and a standard deviation of 1. Q is a subset of M consisting of 5 terms. Exactly 80% of the numbers in Q are located within 2 standard deviations from the average of M. Which of the following could Q be?
On increasing the number of lines in a page by 100, they become 240. What is the % of increase in the no. of lines in the page?
A man has $480 in the denominations of one-Dollar, five-Dollar notes and ten-Dollar. The number of Dollars of each denomination is equal. What is the total number of Dollar that he has ?
Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 72 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
The side of a square is increased by 25% then how much % does its area increases?
When positive integer k is divided by 5, the remainder is 2. When k is divided by 6, the remainder is 5. If k is less than 24, what is the remainder when k is divided by 7?
Health insurance Plan C requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
Which of these fractions is equivalent to 15 25?
The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
In an examination 40% failed in Hindi, 45% failed in English. If 25% students failed in both the subjects. Then the percentage of failed students is?
If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 14% per annum then the gain of B in a period of 3 years is?
4/[(1/0.03) + (1/0.37)] = ?
In an examination 60% failed in Math and 40% failed in French. If 32% failed in both. What % of students passed in both.
If y exceeds x by 30%, then x is less than y by?