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big_math_dataset

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Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
All the faces of cubes are painted with red colour.It is then cut into 64 equal small cubes.Find How many small cubes have no faces coloured ?
In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs.157300 was their profit, how much amount did B receive?
The profits of QRS company rose 10% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
For what values of 'k' will the pair of equations 3x + 4y = 12 and kx + 12y = 30 NOT have a unique solution?
If two positive numbers are in the ratio 1/6 : 1/5, then by what percent is the second number more than the first?
Two trains of length 100 m and 200 m are 90 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
If the annual increase in the population of a town is 10% and the present number of people is 14000, what will the population be in 2 years?
A reduction of 30% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
If a /2= b/3 = c/5, then the value of (a + b + c)/c is :
In how many of ways can 4 balls be placed in 5 tins if any number of balls can be placed in any tin?
In how many ways Chief Minister and Minister be elected from a team of 12 members?
When positive integer N is divided by positive integer J, the remainder is 26. If N/J = 150.40, what is value of J?
The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 21 minutes is:
The simple form of the ratio 4/3:2/5 is?
During a sale, the price of a pair of shoes is marked down 15% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
The train 160 m long is running with a speed of 80 km/hr. In what time will it pass a man running in same direction with the speed of 8 km/hr.
In a college, 70 percent of students study math, 75 percent of students study English, 85 percent study French and 80 percent study German. Can you find out the percentage of students who study all 4 subjects ?
If the perimeter of a rectangular garden is 950 m, its length when its breadth is 100 m is?
A man is walking at a speed of 10 km per hour. After every kilometre, he takes rest for 5 minutes. How much time will be take to cover a distance of 5 kilometres?
A caterer ordered 200 ice-cream bars and 200 sundaes. If the total price was $200.00 and the price of each ice-cream bar was $0.40, what was the price of each sundae?
A card is drawn from a pack of 52 cards.The probability of getting a queen club or a king of heart?
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?
M is a certain set of numbers with an average (arithmetic mean) of 10 and a standard deviation of 3. 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?
At a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint.Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 35 liters of forest green to change it to Verdant green?
Which of these numbers is not divisible by 3?
If (t-8) is a factor of t^2-kt-40, then k=
A man buys a cycle for Rs. 1750 and sells it at a loss of 8%. What is the selling price of the cycle?
A train passes a station platform in 42 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
The value of Underrot 72pi/9 + Underrot 4 is most nearly equal to which of the following integers? (Please refer to the picture below for the exact version of the question)
A boy swims downstream 91 km and upstream 21 km taking 7 hours each time, what is the speed of the boy in still water?
Pipes A and B can fill a tank in 5 hours and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in.
If 1/(6 + 3/x) = 1, then x =
How many 7-letter words can be formed using the letters of the English alphabet that contain 2 different vowels and 5 different consonants?
A box contains 90 nuts each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg., then the weight of the empty box is
January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008 ?
a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. 4a = 2b = c, and a > 0. What is the difference between the two greatest possible values of x? Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.
If (c - a)/(c - b) = 1, then (5b - 2a)/(c - a) =
Michael cashed a check for $1,300 and received only $10 and $50 bills in return. During the course of a day, he used 15 bills and then lost the rest of the money. If the number of $10 bills used was either one more or one less than the number of $50 bills used, what is the minimum possible amount of money that was lost?
A baseball team won 55 percent of the first 80 games it played. How many of the remaining 82 games will the team have to win in order to have won exactly 50 percent of all the games it played?
If there are 9 horizontal lines and 9 vertical lines in a chess board, how many rectangles can be formed in the chess board?
In the coordinate plane, Line A has a slope of -2 and an x-intercept of 2. Line B has a slope of 5 and a y-intercept of -10. If the two lines intersect at the point (a,b), what is the sum a+b?
A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
How many numbers between 190 and 580 are divisible by 4,5 and 6?
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 20 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
The equation x = 2y^2 + 5y - 16, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at x = -5, the equation for l is
If four coins are tossed, the probability of getting heads only?
Rs.1040 is divided amongst A, B, C so that 2 times A's share, 3 times B's share and 4 times C's share are all equal. Find A's share?
A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 250 passengers. Find the no of passengers in the beginning?
A bag contains 5 green balls and 9 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour?
In the xy-coordinate plane, the graph of y = -x^2 + 9 intersects line L at (p,5) and (t,7). What is the least possible value of the slope of line L?
A wheel of a car of radius 21 cms is rotating at 800 RPM. What is the speed of the car in km/hr?
{330, 380, 350, n} Which of the following could be the median of the 4 integers listed above? I. 340 II. 360 III. 380
A certain team has 11 members, including Joey. A three-member relay team will be selected as follows: one of the 11 members is to be chosen at random to run first, one of the remaining 10 members is to be chosen at random to run second, and one of the remaining 9 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
A sum of Rs.5000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits T are in s(99)?
A, B, and C working alone can finish constructing a house in 6, 9, and 12 hours respectively. A starts alone and works for 1 hour. He is then joined by B and they work together for 1 hour. Finally C joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish?
It costs $5 for the first 1/3 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $12 per hour. If a certain customer uses the laundry machine for 2 hours and 30 minutes, how much will it cost him?
The C.P of 10 pens is equal to the S.P of 13 pens. Find his gain % or loss%?
A boat moves upstream at the rate of 1 km in 40 minutes and down stream 1 km in 12 minutes. Then the speed of the current is :
For all real numbers v, an operation is defined by the equation v* = v - v/3. If (v*)* = 12, then v=
Lucia's sells kale at x dollar per pound for the first 20 pounds and .8x for every subsequent pound. Amby's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Lucia's becomes an equal or better deal?
The average weight of 8 students decreases by 5 kg when one of them weighing 86 kg is replaced by a new student. The weight of the student is
If x = -1/8 and y = -1/2, what is the value of the expression -2x – y^2?
To celebrate a colleague's retirement, the T coworkers in an office agreed to share equally the cost of a catered lunch. If the lunch costs a total of L dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of the lunch is completely paid?
18 times a positive integer is more than its square by 80, then the positive integer is
At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to x grams at 4:00 pm, and 25.6 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 4:00 pm?
The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?
If the number 653 xy is divisible by 90, then (x + y) = ?
What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052,3158, x
A and B enter into partnership with capitals in the ratio 3 : 4. At the end of 10 months A withdraws,and the profits now are divided in the ratio of 3 : 2. Find how long B remained in the business?
An air conditioner can coo the hall in 40 miutes while another takes 45 minutes to cool under similar conditions. if both air conditioners are switched on at same instance then how long will it take to cool the room?
A rope of which a calf is tied is increased from 12 m to 25 m, how much additional grassy ground shall it graze?
The average temperature of the town in the first four days of a month was 56 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
There was two trains from calcutta to kanyakumari one train is fast service travels with a speed 75km per hour another travels with a speed of 44km per hour the time taken to reach from calcutta to kanyakumari is 4hours less than the first train...find the distance b/w calcatta to kanyakumari
The arithmetic mean and standard deviation of a certain normal distribution are 16.2 and 2.3, respectively. What value is exactly 2 standard deviations less than the mean?
If 4a = 16b and 9b = 11c, Find a:b:c?
A wooden cube whose edge length is 8 inches is composed of smaller cubes with edge lengths of one inch. The outside surface of the large cube is painted red and then it is split up into its smaller cubes. If one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face?
The speed of the boat in still water in 12 kmph. It can travel downstream through 39 kms in 3 hrs. In what time would it cover the same distance upstream?
Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
If a certain sample of data has a mean of 20.0 and a standard deviation of 5.0, which of the following values is more than 2.5 standard deviations from the mean?
A store’s selling price of $2240 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?
The sum of 2 consecutive numbers is definitely:
A train leaves station X at 5 a.m. and reaches station Y at 9 a.m. Another train leaves station Y at 7 a.m. and reaches station X at 10 : 30 a.m. At what time do the two trains cross each other ?
An article is bought for Rs.575 and sold for Rs.900, find the gain percent?
There are 100 boys in a hostel. Each plays either cricket or softball or both. If 60% play cricket and 50% play softball, how many play both?
How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a consonant and the last letter has to be a consonant, and each letter can be used only once?
A batsman scored 120 runs which included 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
Hyderabad Chennai Mumbai Delhi Bangalore Trivandram ; Hyderabad Chennai Mumbai Delhi Bangalore Trivandram In the table above, what is the least number of table entries that are needed to show the mileage between each city and each of the other five cities?
The average age of a group of 20 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?
A train traveled the first d miles of its journey it an average speed of 40 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 96 miles per hour, what is the value of y?
When ticket sales began, Pat was the mth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?
Which of the following coordinates are on the line segment connecting (5, 6) and (21, 18)?
Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 40 percent ?
If a = 4p, where p is a prime number greater than 2, how many different positive even divisors does a have, including a ?
Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he: