CAT Quantitative Ability Questionbank

How many integers between 1 and 100 (inclusive) are divisible by both 3 and 5?

The remainder when $2^{100}$ is divided by 7 is:

A shopkeeper marks an item up by 25% and then offers a 20% discount. His profit percentage is:

The average of 11 numbers is 50. The average of the first six is 49 and of the last six is 52. The sixth number is:

A train 300 m long crosses a pole in 15 seconds. Its speed in km/h is:

A alone finishes a job in 12 days and B alone in 18 days. Working together, they finish it in:

A sum of money doubles in 8 years at simple interest. It becomes 4 times itself in:

If $x + \frac{1}{x} = 5$, then $x^2 + \frac{1}{x^2}$ equals:

The number of real solutions of $|x|^2 - 5|x| + 6 = 0$ is:

The area of an equilateral triangle with side 12 cm is:

A chord of length 8 cm is at a distance of 3 cm from the centre of a circle. The radius of the circle is:

In how many ways can 5 people be seated around a circular table?

Two fair dice are thrown. The probability that the sum is 8 is:

If $f(x) = 2x + 3$ and $g(x) = x^2$, then $g(f(2))$ equals:

The minimum value of $x^2 - 6x + 11$ is:

Three partners share a profit in the ratio 3 : 4 : 7. The largest share exceeds the smallest by ₹8,000. The total profit is: