GATE 2016 EE – SET 2 – Question 5

$$x(t) \rightarrow 5 kHz$$

The highest frequency component of x(t) is $$f = 5 kHz\left \{ x(t)\cos (2\pi \ast 1000t) \right \}$$

 $$f = 5000 + 1000 = 6 kHz$$