Let S = {(m, n): m, n ∈ {1, 2, 3, …, 50}}. If the number of eleme… | JEE Main 2026 Mathematics PYQ

NVAMediumJEE Main 2026 · 21 January, Shift 1Applications of P&C

Let $S$ = $\{(m, n): m, n \in \{1, 2, 3, \ldots, 50\}\}$ . If the number of elements $(m, n)$ in $S$ such that $6^m+9^n$ is a multiple of $5$ is $p$ and the number of elements $(m, n)$ in $S$ such that $m + n$ is a square of a prime number is $q$ , then $p + q$ is equal to:

Answer & step-by-step solution

Practice more Applications of P&C questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Applications of P&C

Answer & step-by-step solution

Practice more Applications of P&C questions

Related questions