What is the remainder when \( { 11 }^{ 7 - CUETMOCK

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Other - Maths Section B1

Question:

What is the remainder when \( { 11 }^{ 7 } \) is divided by 7?

Options:

4

11

8

7

Correct Answer:

4

Explanation:

By Fermat's theorem \( {11 }^{ 7-1 } \) ≡ 1 (mod 7) \( { 11 }^{ 6 } \) ≡ 1 (mod 7) \( { 11 }^{ 7 } \) ≡ 11 (mod 7) ≡ 4 (mod 7)

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