SSC GD 2023 PYQ — Question 49

SSC GD Constable (English) - 24 Jan 2023 - Shift 4 • Quantitative Aptitude • Q49

If N = (243 + 253 + 263 + 273) is divided by 102, then find the remainder.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 0.

N = (243 + 253 + 263 + 273)

⇒ N = 13824 + 15625 + 17576 + 19683

⇒ N = 66708

Now,

⇒ N/102 = 66708/102 = 654

Hence, it is completely divisible by 102 so, the remainder will be zero