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 $\phi (420)$ ?

Options:

92

90

96

98

Correct Answer:

96

Explanation:

The correct answer is option (3) : 96

$\phi (420) = \phi (2^3×3×5×7)$

$=\phi (2^2) ×\phi (3) × \phi (5)×\phi (7)$

$= (2^2-2^1) ×(3-1)×(5-1)×(7-1)$

$= 2×2×4×6 = 96 $