List of top Quantitative Aptitude Questions

A box contains 4 blue, 2 green and 3 red balls and another box contains 4 red, 3 green, and 5 blue balls. A ball is picked up at random from one of the boxes. What is the probability that the ball is blue?

The populations of two cities X and Y is equal. The population of city X increases in two successive years by 15% and 20% respectively and that of city Y increases successively by 10% and 30% respectively. If the difference in the population of two cities after 2 years is 55,980, then what was the total population of the two cities initially?

A committee is to be formed from amongst 9 boys and 6 girls. In how many ways can the boys and girls divide themselves into groups of three so that no group has more than 2 girls and no group has all boys?

The boat will sink when the weight on it increases beyond 350 kg. There is a hole in it through which the water leaks in at the rate of 0.4 kg/s. The weight of the boat is 1200 kg, and the weight of the boatman is 48 kg. The boatman throws out water at the rate of 0.04 kg/s. There are four passengers whose weights are 42.5 kg, 53.5 kg, 43.5 kg and 54.5 kg. How long will the boat float?

Gopi constructed a right-angled triangle. By modifying the dimensions of first triangle, he drew another triangle. The modifications are - the largest side is increased by 5 cm, the smallest side is doubled and the third side is increased by 50%. If the triangle formed with these new dimensions has equal angles, then what is the perimeter of the new triangle?

There are eight persons – P, Q, R, S, T, U, V and W, standing in a row and four distinct articles A, B, C and D are to be given to four people. No four neighboring persons receive an article. How many ways can this distribution be done?

The charge for sending a telegram is constant for the first 10 or less words and an amount proportional to the number of words exceeding 10. If the charge for sending a 15 word telegram is ` 3.00 and that for a 20 word is ` 4.25, how much would it cost to send a 35 word telegram?

Given \(A=x+y^2+z^3\). If x increases by 6300%, y increases by 700% and z increases by 300%, then what is the percentage increase in the value of A?

P, Q and E start a joint venture, where in they make an annual profit. P invested one-third of the capital for one-fourth of the time, Q invested one-fourth of the capital for one-half of the time and R invested the remainder of the capital for the entire year. P is a working partner and gets a salary of `10,000 per month. The profit after paying P’s salary is directly proportional to the sum each one has put and also to the square of the number of months for which each has put their sum in the venture. If in a year P earns ` 60,000 more than Q, then how much does P earn?

Given quadratic equation is \(x^2-|x|-30=0 . \)Then which of the following statements is/are incorrect?

Anu collected certain number of coins of denominations ` 1, ` 2 and ` 5. She has certain number of ` 2 coins, 4 times as many ` 1 coins as ` 5 coins and 15 more ` 2 coins than ` 1 coins. If the total value is ` 490, how many ` 2 coins are there?

An electronic company conducts a survey of 1500 houses for their products. The survey suggested that 862 houses own TV, 783 houses has AC and 736 houses has washing machine. There were 95 houses having only TV, 136 houses having only AC and 88 houses having only washing machine. There were 398 houses having all the three equipments. How many houses have only TV and washing machine but not AC?

What is the value of \(\sqrt{42 + \sqrt{42 + \sqrt{42 + \sqrt{42 + \cdots}}}}∞\) ?

If x is a positive integer satisfying \(64 ≤ x ≤ 121\) and \(y = \frac{x^2 + 4\sqrt{x}(x + 16) + 256}{x + 8\sqrt{x} + 16}\) then which of the following is satisfied by y?

Two numbers are in the ratio 8 : 11 and their LCM is 2816. What would be the difference between the two numbers?

In the given figure, if \(∠CAT = 65°\) and \(∠CAD = 45°\), what is the value of \(∠ACD?\) (Figure not drawn to scale)

The ratio between two numbers is 6 : 5. If 30% of the first number is 12, what would be 60% of the second number?

Krishna has certain number of coins numbered with a series of consecutive natural numbers starting with 1. He found that the sum of squares of all the numbers on the coins is 1753 times the sum of numbers on coins. How many coins does he have?

A certain sum placed at compound interest triples itself in 5 years. In how many years will it amount to nine times at the same rate of interest?

The ratio between the speed of a boat and a stream is 3 : 1 respectively. If the boat covers 24 km in 3 hours downstream, what is the speed of the stream?

Shyam has a square piece of paper of length 15 m. He put four circles on the edges of the square such that the edges of the square are centres of the circles and they touch each other at the midpoint of their respective sides. What is the area of the square which is not covered by the four circles (approx.)?

Simplify the expression \(\frac{\sqrt{\frac{1 - \sin \theta}{1 + \sin \theta}}}{\sqrt{\frac{1 + \cos \theta}{1 - \cos \theta}}} + \frac{\sqrt{\frac{1 + \sin \theta}{1 - \sin \theta}}}{\sqrt{\frac{1 - \cos \theta}{1 + \cos \theta}}}\)

Sugar worth 15 per kg and 16 per kg is mixed with a third variety of some other cost in the ratio 1 : 1 : 2. If the mixture is of worth 20 per kg, what would be the cost of the third variety of sugar per kg?

Padam purchased 30 kg of rice at the rate of Rs. 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20\(\%\) overall profit. At what price per kg did he purchase the lot of another 30 kg rice?

A train whose weight is 16 metric tons, moves at the rate of 72 kmph. After applying brakes it stops in 500 meters. What is the force executed by brakes?