When m¹² - 1 is divided by m + 1, the remainder is:

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 1)

Answer 1

Given:

m12 - 1

Concept used:

(A²ⁿ - B²ⁿ) is always divisible by (A + B)

Calculation:

m12 - 1

⇒ m^{(2 × 6)} - 1^{(2 × 6)}

According to the concept,

m(2 × 6) - 1(2 × 6) is divisible by (m + 1)

So, when m12 - 1 is divided by m + 1, the remainder is 0.

∴ When m12 - 1 is divided by m + 1, the remainder is 0