CUET Preparation Today
If $\phi (n)$ represents Euler quotient function, then what is the value of $\phi (2000)$ ? |
800 850 700 900 |
800 |
The correct answer is option (1) : 800 $\phi (2000)= \phi (2^4×5^2)$ $= \phi (2^4) × \phi (5^3)$ $= (2^4-2^3) (5^3-5^2)$ $= (16-8) (125-25)$ $= 8 × 100$ $= 800$ |
