SSC CGL 2022 PYQ — Question 70

The correct answer is option 4 i.e. 26.

Given:

27²⁷ + 27

Concept used:

Aⁿ + Bⁿ is divisible by (A + B) when n is odd.

Calculation:

Now, (27 ²⁷ + 27)

⇒ (27 ²⁷ + 1²⁷ + 27 - 1)

⇒ (27²⁷ + 1 ²⁷) + 26

Here, according to the concept, (27 ²⁷ + 1²⁷) is divisible by (27 + 1) i.e. 28.

Hence, the remainder = 26

Therefore The remainder when 27 ^ 27 + 27 is divided by 28 is 26.