MathsJEE Main 21 Jan 2026, Shift 1·Q23·Numerical·Moderate

Permutations & Combinations · Counting ordered pairs

Let

S = \{(m, n) : m, n \in \{1, 2, 3, \ldots, 50\}\}

. If the number of elements

(m, n)

S

such that

6^m + 9^n

is a multiple of 5 is

p

and the number of elements

(m, n)

S

such that

m + n

is a square of a prime number is

q

, then

p + q

is equal to .

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