Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

If $\phi (n)$ represents Euler quotient function, then what is the value of $\phi (77)$ ?

Options:

3940

950

3840

3740

Correct Answer:

3840

Explanation:

The correct answer is option (3) : 3840

$\phi (9650)= \phi ( 2×5^2×193)$

$=\phi (2) ×\phi (5^2)×\phi (193)$

$=(2-1)(5^2-5^1)(193-1)$

$=1× 20 ×192$

$= 3840$