Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

The digit in the unit's place of $13^{37}$ is :

Options:

1

4

0

3

Correct Answer:

3

Explanation:

The correct answer is Option (4) → 3

Unit digit of $13^{37}$ = Unit digit of $3^{37}$

$⇒3^{37}=(3^4)^9.3^1$

and,

Unit digit of $3^4=1$

∴ Unit digit of $3^{37}=1.3=3$

⇒ Unit digit of $13^{37}=3$