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 $\phi (950)$ ?

Options:

240

360

390

290

Correct Answer:

360

Explanation:

The correct answer is option (2) : 360

$\phi(950)= \phi (2×5^2×19)$

$=\phi (2) × \phi (5^2) × \phi (19)$

$=(2-1) (5^2-5^1)(19-1)$

$= 1 × 20 × 18$

$= 360$