List of top Quantitative Ability Questions on Number System

Let \( A=\{2,4,6,8,10,12\} \), \( B=\{3,6,9,12\} \). How many subsets of B are not subsets of A?

Which of the following statements is/are true?
I. \(4^{10} + 6^{10}\) is divisible by 52.
II. \(7^{15} + 64^5\) is divisible by 11.
III. \(2^{20} - 49^{10}\) is divisible by 9.
IV. \(3^{15} - 8^5\) is divisible by 5.

The least perfect square that is divisible by each of 321, 48 and 66 is:

A number \(1 + 7^{47}\) is divisible by \(x\). Which of the following is also divisible by \(x\)?

There are three ropes of lengths 4 m 50 cm, 9 m 90 cm and 16 m 20 cm, respectively. Each rope can be used to exactly measure the side of a square ground. What is the maximum possible value of each side, in m, if area of the square ground is less than 10,00,000 m\(^2\)?

If \(x\) and \(y\) are two positive integers, and \(m\) is the HCF of \(x\) and \(y\) such that \(mxy = 1080\) and \(3<m<12\), then how many possible ordered pairs of \(x\) and \(y\) exist?

The sum of the numbers from 1 to 100, which are not divisible by 3 and 5.

For \(n = 1, 2, 3, \ldots\), let \(T_n = 1^3 + 2^3 + \cdots + n^3\). Which one of the following statements is correct?

How many numbers between 1 and 1000 (both excluded) are both squares and cubes?