List of top Quantitative Aptitude Questions asked in CAT

One root of \(x^2 + kx - 8 = 0\) is the square of the other. Then the value of \(k\) is
The sides of a triangle are 5, 12 and 13 units. A rectangle is constructed, which is equal in area to the triangle, and has a width of 10 units. Then the perimeter of the rectangle is
I live X floors above the ground floor of a high-rise building. It takes me 30 s per floor to walk down the steps and 2 s per floor to ride the lift. What is X, if the time taken to walk down the steps to the ground floor is the same as to wait for the lift for 7 min and then ride down?
Two typists undertake to do a job. The second typist begins working one hour after the first. Three hours after the first typist has begun working, there is still \(\frac{9}{20}\) of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours would it take each one to do the whole job individually?
Three consecutive positive even numbers are such that thrice the first number exceeds double the third by 2. Then the third number is
A person who has a certain amount with him goes to market. He can buy 50 oranges or 40 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes, and of the balance he purchases oranges. Number of oranges he can purchase is
Ram purchased a flat at Rs. 1 lakh and Prem purchased a plot of land worth Rs. 1.1 lakh. The respective annual rates at which the prices of the flat and the plot increased were 10% and 5%. After two years they exchanged their belongings and one paid the other the difference. Then
\(5^6 - 1\) is divisible by
ABCD is a square of area 4, which is divided into four non-overlapping triangles as shown in the figure (both diagonals AC and BD are drawn, meeting at the centre). Then the sum of the perimeters of the triangles is

Answer the questions based on the following information.

\(le(x, y) = \text{Least of } (x, y)\)

\(mo(x) = |x|\)

\(me(x, y) = \text{Maximum of } (x, y)\)

Four sisters - Suvarna, Tara, Uma and Vibha - are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game, in alphabetical order. At the end of the fourth game, each sister had Rs. 32.

PQRS is a square. SR is a tangent (at point S) to the circle with centre O and TR = OS. Then the ratio of area of the circle to the area of the square is:

For the product $n(n+1)(2n+1)$, $n \in \mathbb{N}$, which one of the following is not necessarily true?
A man invests Rs.\ 3,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?

AB $\perp$ BC, BD $\perp$ AC and CE bisects $\angle C$, $\angle A = 30^\circ$. Then what is $\angle CED$?

In the adjoining figure, AC + AB = 5AD and AC – AD = 8. Then the area of the rectangle ABCD is

The value of $\frac{55^3 + 45^3}{55^2 - 55 \times 45 + 45^2}$ is:
A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?
72 hens cost Rs.\ ____ 96.7____. Then what does each hen cost, where two digits in place of ‘____’ are not visible or are written in illegible hand?
$\frac{2}{5}$ of the voters promise to vote for P and the rest promised to vote for Q. Of these, on the last day 15% of the voters went back on their promise to vote for P and 25% of voters went back on their promise to vote for Q, and P lost by 2 votes. Then the total number of voters is:
A man can walk up a moving 'up' escalator in 30 s. The same man can walk down this moving 'up' escalator in 90 s. Assume that his walking speed is the same upwards and downwards. How much time will he take to walk up the escalator, when it is not moving?
In a race of 200 m run, A beats S by 20 m and N by 40 m. If S and N are running a race of 100 m with exactly same speed as before, then by how many metres will S beat N?
Which one of the following cannot be the ratio of angles in a right-angled triangle?
The length of a ladder is exactly equal to the height of the wall it is leaning against. If lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then the height of the wall is
The remainder obtained when a prime number greater than 6 is divided by 6 is: