List of top Quantitative Aptitude Questions asked in CAT

What is the sum of the first 20 terms of the arithmetic sequence 3, 7, 11, …?

If $x^2 - 5x + 6 = 0$, what is the value of $x^3 - 3x^2 + 2x$? 
 

The number of ways to arrange 5 distinct books on a shelf is: 
 

If $\log_2 x + \log_4 x = 5$, what is the value of $x$? 
 

The area of a circle is 154 cm². What is its radius? (Use \( \pi = \frac{22}{7} \))
A car travels from A to B at 60 km/h and returns at 40 km/h. If the total time taken is 5 hours, what is the distance between A and B?
A rectangle has an area of 60 cm² and a perimeter of 32 cm. What is the length if it is greater than the width?
A bag contains 4 red, 3 white, and 2 blue balls. Two balls are drawn at random. What is the probability that both are red?

A boat travels 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water? 
 

A sum of Rs. 1000 is divided among A, B, and C in the ratio 2:3:5. How much does C get? 
 

A pipe can fill a tank in 6 hours, and another pipe can empty it in 8 hours. If both are opened together, how many hours will it take to fill the tank? (Enter the answer as a fraction or decimal.)
The ratio of the ages of A and B is 3:4. Five years hence, the ratio will be 4:5. What is the present age of A?
On a certain day, the sum of the date and the square root of the month gives the square of the month. Find the date.
If $a^2 + b^2 = 25$ and $ab = 12$, what is $(a + b)^2$?
The sum of the squares of three consecutive integers is 110. What is the smallest integer?
If $2x + 3y = 15$ and $x - y = 1$, what is the value of $x + y$?
The lengths of the sides of a right-angled triangle are in geometric progression. What is the ratio of the sines of its acute angles?
What is the value of $2^{10}$?
If $\sin \theta + \cos \theta = \sqrt{2}$, what is $\sin \theta \cos \theta$?
Lal divides his garden into several identical squares and places posts at all the corners of all the squares. He then plants one tree per square. If a rectangular garden uses 36 posts in all, find the maximum number of trees that he could have planted.
A series in which any term is equal to the sum of the preceding two terms is called a Fibonacci series. The first two terms are given initially and determine the series. It is known that the difference of the squares of the ninth and eighth terms of a Fibonacci series is $840$. Find the 12th term of that series.
A car travels 240 km in 4 hours. What is its speed in km/h?
A sum of Rs. 2000 is invested at 10% per annum compound interest. What is the amount after 2 years?
The sum of the first $n$ terms of an arithmetic progression is $3n^2 + 2n$. What is the 10th term?
A shopkeeper marks an article 20% above cost price and offers a 10% discount. If the cost price is Rs. 500, what is the profit?