List of top Signals and Systems Questions on Sampling Theorem and Nyquist Rate

A signal \(x(t) = 2\cos(180\pi t)\cos(60\pi t)\) is sampled at 200 Hz and then passed through an ideal low pass filter having cut-off frequency of 100 Hz. The maximum frequency present in the filtered signal in Hz is .......... (Round off to the nearest integer).

Match List I with List II

List I (Message Signal)		List II (Related Units/Parameters)
A	$4sin2\pi×5×10^3t-3 cos 2\pi ×8×10^3t  $	I	40 kHz
B	$m(t)=2cos^2 2\pi×10^4t $	II	16 kHz
C	$ m(t)=2sinc(2× 10^4 t) $	III	6 kHz
D	$m(t)=5sinc^2(3x10^3t) $	IV	20 kHz

Choose the correct answer from the options given below: