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:

56

60

64

68

Correct Answer:

60

Explanation:

The correct answer is option (2) : 60

$\phi (77) = \phi (7×11)$

$=\phi (7) × \phi (11)$

$= (7-1) (11-1)$

$= 6 × 10 = 60 $