Medium MCQ +4 / -1

The last digit of 7¹⁰⁰ is:

  1. A 1 Correct answer
  2. B 7
  3. C 9
  4. D 3

Solution

7⁴ ≡ 1 (mod 10). 7¹⁰⁰ = (7⁴)²⁵ ≡ 1²⁵ ≡ 1 (mod 10). So last digit = 1.

About this question

Subject: Mathematics · Chapter: Binomial Theorem · Topic: Applications of Binomial Theorem

This question is part of PrepWiser's free JEE Main question bank. 16 more solved questions on Binomial Theorem are available — start with the harder ones if your accuracy is >70%.

Drill 25 more like these. Every day. Free.

PrepWiser turns these solved questions into a daily practice loop. Chapter-wise drills, full mocks, AI doubt chat. No auto-renew.

Start free →