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).

Rafi told Mary, "I am thinking of watching a film this weekend."

The following repots the above statement in indirect speech:

Rafi told Mary that he _________ of watching a film that weekend.

Permit : __________ : : Enforce : Relax

(By word meaning)

Given a fair six-faced dice where the faces are labelled '1', '2', '3', '4', '5', and '6', what is the probability of getting a '1' on the first roll of the dice and a '4' on the second roll?