List of top Quantitative Aptitude Questions asked in CAT

If $f(x) = x^2 + 2x + 1$, what is $f(3)$?
The cost price of an article is Rs. 400. If it is sold at a profit of 25%, what is the selling price?
A bag contains 3 red and 5 black balls. Two balls are drawn at random. What is the probability that both are red?
A sum of money doubles in 5 years at simple interest. In how many years will it become 4 times?
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?
The area of a rectangle is 48 cm$^2$, and its perimeter is 28 cm. What is the length of the rectangle?
If the roots of the equation $x^2 - 6x + k = 0$ are real and their product is 8, what is the value of $k$?
What is the value of $\log_2 8 + \log_3 9$?
A and B can complete a task in 12 days, B and C in 15 days, and A and C in 20 days. How many days will A alone take to complete the task?
If $2x + 3y = 15$ and $x - y = 1$, what is the value of $x + y$?
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less. What is the speed of the train?
The sum of the first $n$ terms of an arithmetic progression is $3n^2 + 2n$. What is the 10th term?
If $x + y = 10$ and $xy = 21$, what is the value of $x^2 + y^2$?
A shopkeeper sells two types of items, A and B, at a profit of 20% and 30%, respectively. If the cost price of A is Rs. 100 and B is Rs. 200, and he sells 3 items of A and 2 items of B, what is the total profit?
The sum of an infinite geometric series is 12, and the first term is 8. Find the common ratio.
An item is sold for Rs. 1200 at a 20 profit. Find the cost price.
A and B can do a job in 6 days. A alone takes 10 days. How long does B take?
Find the roots of $x^2 - 8x + 15 = 0$.
A car travels 240 km in 4 hours. What is its speed?
Solve for $x$: $3x - 5 = 7 - 2x$.
A price is increased by 15 to Rs. 230. What was the original price?
The area of a circle is 154 cm². Find its radius.
A die is rolled twice. What is the probability of getting a sum of 9?
In how many ways can a committee of 3 be chosen from 6 people?
Find the distance between points (2, 3) and (5, 7).