Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

The value of $3^{18} (mod\, 4)$ is equal to

Options:

0

3

1

2

Correct Answer:

1

Explanation:

The correct answer is Option (3) → 1

Compute $3^{18}\;(\text{mod}\;4)$

$3\equiv -1\;(\text{mod}\;4)$

$3^{18}\equiv (-1)^{18}\;(\text{mod}\;4)$

$(-1)^{18}=1$

$3^{18}\equiv1\;(\text{mod}\;4)$

The value of $3^{18}\;(\text{mod}\;4)$ is $1$.