# CAT Quant Practice Problems

Question: Let f(x) be a function satisfying $f(x)\times f(y) = f(xy)$ for all real x, y. If f(2) = 4, then what is the value of ${\rm{f}}\left( {\frac{1}{2}} \right)?$
1. 0
2. $\frac{1}{4}$
3. $\frac{1}{2}$
4. 1
5. cannot be determined

Correct Option:2

$f(1)^2$ = f(1) => f(1) = 1

f(2)×(f(1/2) = f(1) => 4x = 1

So, f(1/2) = 1/4

## CAT Quant Questions with Video Solutions

CAT Quant Practice Problems