Question Details

Detailed explanation and options for the selected question.

What is the remainder when 5^100 is divided by 3?

A. 0
B. 1
C. 2
D. 3

Explanation:

By Fermat’s theorem or modular arithmetic, 5 ≡ 2 (mod 3). Then 2^100 mod 3 = 1. Other options miscalculate the remainder.

Related Topics

How to Use Basic Identities for Hyperbolic Functions (sinh, cosh, tanh)

Revision Notes

How to Solve Angle Chasing Problems

Revision Notes

How to Work with Mutually Exclusive and Non-Mutually Exclusive Events

Revision Notes

How to Identify Functions vs. Relations

Revision Notes

How to Convert Between Different Number Bases

Revision Notes

How to Estimate Roots Using the Newton-Raphson Method (Intro)

Revision Notes

How to Calculate Combinations (Unordered Selections)

Revision Notes

How to Solve Direct and Inverse Variation Problems

Revision Notes

How to Calculate Variance and Standard Deviation

Revision Notes

How to Factor the Sum or Difference of Cubes

Revision Notes