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big_math_dataset

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In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
In how many ways 5 boys and 5 girls can be seated in a row so that boys and girls are alternate?
For how many integers k is (k^2)+3 = 3+(2^k) ?
There are two pipes which are functioning simultaneouly to fill a tank in 12 hours, if one pipe fills the tank 10 hours faster than other then how many hours second pipe will take to fill the tank ?
A train of length 180 metres takes 54 seconds to cross a tunnel of length 270 metres. What is the speed of the train in km/hr?
If 7 ministers are to be seated at a round table conference, then how many different ways can they be seated?
The number which exceeds 12% of it by 52.8 is:
How many prime numbers are between 15/7 and 131/6?
A boy has Rs. 320 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Find the odd man out. 1, 3, 10, 13, 19, 29
What is the probability that their sum of two numbers, randomly selected from the set {3,6,9,12,15,18} will be greater than 9?
Two letters from the word KHANTKAR are selected at random. What is the probability that at least one of the selected letters is a consonant?
Working alone, Jim finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. Jim alone cleans the entire house in 6 hours. How many hours will it take Nick and Jim to clean the entire house if they work together?
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choose the missing terms out of the given alternatives. CMW, HRB, ?, RBL, WGQ, BLV
Which of the following will divide evenly into 407,406,520?
Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
The area of playground is 5700 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.
A man has Rs. 400 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
An design manager has 10patterns of chairs & 9patterns of tables. In how many ways can he make a pair of table & chair?
The perimeter of a square is 52 m. Find the area of the square.
Find the distance covered by a man walking for 36min at a speed of 10km/hr?
A train 2500 m long can cross an electric pole in 100 sec and then find the speed of the train?
The list price of an article is Rs.70. A customer pays Rs.59.22 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
Kail purchased n items from a catalog for $10 each. Postage and handling charges consisted of $4 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
In a school of 850 boys, 46% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
A tank can be filled by pipe A in 5 hours and by pipe B in 8 hours, each pump working on its own. When the tank is full and a drainage hole is open, the water is drained in 20 hours. If initially the tank was empty and someone started the two pumps together but left the drainage hole open, how long does it take for the tank to be filled?
A certain company’s profit in 1996 was 15 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?
What is the value of x? Data 1: x - 2y = 7 Data 2: 4x – 28 = 8y
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is
A box contains 8 apples, 7 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n?
When not moving on the sidewalk, Maya can walk the length of the sidewalk in 7 minutes. If she stands on the sidewalk as it moves, she can travel the length in 4 minutes. If Maya walks on the sidewalk as it moves, how many minutes will it take her to travel the same distance? Assume she always walks at the same speed, and express your answer as a decimal to the nearest tenth.
There are 21 balls in a jar: 14 red, 4 blue and 3 green. If a single ball is drawn from the jar, what is the probability of that it is either blue or red?
A train is walking at 6/7 of its usual speed, the train is 20 minutes too late. Find its usual time to cover the journey.
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
How many meters are there in 770 centimeters?
A shopkeeper sold an article at $1800 with 20% profit. Then find its cost price?
For what values of k will the pair of equations 3(3x + 4y) = 36 and kx + 12y = 30 does not have a unique solution?
A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Workers decided to raise Rs.3lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25lacs. How many workers were they?
In how many ways can 12 different gifts be divided among four children such that each child receives exactly three gifts?
Find the value of x in (8x-6)=10.
The sum of three integers A, B and C is 180. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?
What is (24^7+24) / 24?
A man gets a simple interest of Rs.400 on a certain principal at the rate of 5% p.a in eight years. Find the compound interest the man will get on twice the principal in two years at the same rate?
A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability C that out of the two, one is white and one is blue?
Of 120 applicants for a job, 56 had at least 4 years' experience, 72 had degrees, and 12 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
Eleven books consisting of 5 financial management, 4 marketing management and 2 system management are placed on a shelf at random order. What is the probability that the books of each kind are all together.
The inverse ratio of 3: 2: 1 is?
Which of the following MUST yield an integer when divided by 11?
A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters ?
Barbata invests $2400 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 8% of her entire investment?
One side of the bottom layer of a triangular pyramid has 12 balls. How many are there in the whole pyramid?Note that the pyramid is equilateral and solid.
Marcella has 25 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order Y? (1 cubic meter = 1,000 liters)
A merchant can buy goods at the rate of Rs. 20 per good. The particular good is part of an overall collection and the value is linked to the number of items that are already on the market. So, the merchant sells the first good for Rs. 2, second one for Rs. 4, third for Rs. 6…and so on. If he wants to make an overall profit of at least 40%, what is the minimum number of goods he should sell?
65% of x = 20% of 747.50. Find the value of x?
The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above conditions is:
The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 200,000 bacteria
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 500 m long?
The average temperature of a city in the first four days of a month was 36°. The average for the 2nd, 3rd, 4th and 5th day was 38°. If the temperature of the 1st and 5th day were in the ratio 4 : 5, then what is the temperature on the fifth day ?
A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all?
Find the number which multiplied by 15 is increased by 196.
When Tom works alone he chops 2 lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 2 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tom is what percent lesser than the quantifying chopped by Tammy?.
If a randomly selected non-negative single digit integer is added to {2, 3, 4, 8}. What is the probability that the median of the set will increase but the range still remains the same?
In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 5 people read all three newspapers. Find the minimum number of people who read both A and B but not C.
6% of customers that enter a store on any given day must not pay tax. If 1000 people shop every day, how many people pay taxes in the store every week
A taxi owner buys diesel at Rs.8.50, Rs. 9 and Rs. 9.50 per litre for three successive years. What approximately is the average cost per litre of diesel if he spends Rs. 5000 each year?
With the wind, an airplane travels 1120 miles in seven hours. Against the wind, it takes eight hours. Find the rate of the plane in still air and the velocity of the wind.
x = 13.165 y = 7.496 z = 11.557 The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
If a 3-number code is formed of the integers from 1 to 14 inclusively, and each of the numbers in the code is different, how many possible codes are there?
If a car travels a distance of 300 km in 8 hours, partly at a speed of 40 kmh-1 and partly at 30 kmh-1, what is the distance it travelled at the speed of 40 kmh-1?
If the length of the longest chord of a certain circle is 18, what is the radius of that certain circle?
Nick took a bus from home to market, that travels at 80 kmph. While walking back at 8 kmph, halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 60 kmph. Find the average speed.
At the faculty of Aerospace Engineering, 310 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible A score that Lindsey could have received on her midterm exam?
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 40%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Jill works as a waitress at the local diner where she earns an hourly wage of $8.00 per hour and a standard tip rate of 30% of the cost of the orders she serves. If she worked four 12-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
Which number is a factor of 20?
A and B play a series of 5 games in badminton. A's chance of winning s single game against B is 2/3. Find the chance that A wins exactly 3 games.
852.68 − 4.5 + 108.94 = ? − 2132.54
A bag contains 6 red balls, 5 green balls and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
What will be the cost of building a fence around a square plot with area equal to 49 sq ft, if the price per foot of building the fence is Rs. 58?
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 8 minutes?
Two numbers are in the ratio of 5:8. If 30 be subtracted from each, they are in the ratio of 5:9. Find the numbers?
A cistern of 475 litres is completely filled using pipes A and B, with Pipe A being open for 5 more hours than pipe B. If we are to interchange the operating hours of the two pipes than pipe A would have pumped half the water as much as pipe B, then find the time for which pipe B was open. Also, given that if the two pipes were open simultaneously the tank would fill in 19 hours.
Ram professes to sell his goods at the cost price but he made use of 800 grms instead of a kg, what is the gain percent?
How many three letter words are formed using the letters of the word TIME?
A tradesman by means of his false balance defrauds to the extent of 15%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Rachel and Sarah started out to visit Grandma. They drove for 50 miles and stopped to rest before driving for 30 more miles. They decided to go back 10 miles to a restaurant they had seen. After leaving the restaurant, they drove 80 more miles to Grandma’s house. How many miles did the girls drive on the way to Grandma’s house?
20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours C will it take 12 beavers that work at the same pace, to build the same dam?
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue R, in dollars, from the sale of cars priced at $ 15,000?
In an examination, 300 students appeared. Out of these students; 26 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
If |x| = 4x - 1, then x = ?
In a simultaneous throw of a pair of dice, find the probability of getting a total more than 8