Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

$5^{100}(mod\, 9)$=

Options:

4

2

0

Correct Answer:

4

Explanation:

The correct answer is Option (1) → 4

$5^{100}=(5^6)^{96}.5^4$

$5^{100}\,mod\,9=(1).(5^4\,mod\,9)$

$⇒5^4\,mod\,9=4$