List of top Quantitative Aptitude Questions on Integers asked in CAT

Let \(n\) and \(m\) be two positive integers such that there are exactly \(41\) integers greater than \(8^m\) and less than \(8^n\) , which can be expressed as powers of \(2\) . Then, the smallest possible value of \(n +m\) is

The number of integers that satisfy the equality \((x^2-5x+7)^{x+1} = 1\) is

In how many ways can a pair of integers \((x , a)\) be chosen such that \(x^2-2|x|+|a-2|=0\) ?

Let A, B and C be three positive integers such that the sum of A and the mean of B and C is 5. In addition, the sum of B and the mean of A and C is 7. Then the sum of A and B is

If a, b and c are positive integers such that ab = 432, bc = 96 and c < 9, then the smallest possible value of a + b + c is