Get Started
Start Free Mocks
CUETMOCK

Ace Your

CUET Preparation Today

Start Free Mocks
Home Questions N7P8VABQPZ
Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Other - Maths Section B1

Question:
What is the remainder when \( { 5 }^{ 49 } \) is divided by 7?
Options:
4
3
5
6
Correct Answer:
5
Explanation:
By Fermat's theorem \( { 5 }^{ 7-1 } \) ≡ 1 (mod 7) \( { 5 }^{ 6 } \) ≡ 1 (mod 7) \( { 5 }^{ 48 } \) ≡ 1 (mod 7) \( { 5 }^{ 49 } \) ≡ 5 (mod 7)

CUET Questions