CUET Preparation Today
CUET
-- Applied Mathematics - Section B2
Numbers, Quantification and Numerical Applications
If $\phi (n)$ represents Euler quotient function, then what is the value of $\phi (950)$ ?
240
360
390
290
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$