List of top Quantitative Aptitude Questions on Integers

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 \(x^2-2|x|+|a-2|=0\) ?

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

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

What is the largest positive integer n such that \(\frac{n^2+7n+12}{n^2-n-12}\)  is also a positive integer?

For any positive integer n, let f(n) = n(n + 1) if n is even, and f(n) = n + 3 if n is odd. If m is a positive integer such that 8f(m + 1) - f(m) = 2, then m equals

Consider a function ƒ satisfying ƒ(x + y) = ƒ(x)ƒ(y) where x,y are positive integers , and ƒ(1) = 2 . If ƒ(a+1) + ƒ(a+2) + ... + ƒ(a+n) = 16(2n - 1) then a is equal to