Question

If W4^100=Wx^200, then what is the value of x?

(a) 2

(b) 4

(c) 8

(d) 16

I had been asked this question during an internship interview.

I need to ask this question from Frequency Domain Sampling DFT in chapter Discrete Fourier Transform – Properties and Applications of Digital Signal Processing

Answer 1

The correct answer is (c) 8

Easiest explanation: We know that according to the periodicity and symmetry property,

100/4=200/x=>x=8.