GATE Electrical Engineering (EE) 2023 Solved Paper

A signal 𝑥(𝑡) = 2𝑐𝑜𝑠(180𝜋𝑡)𝑐𝑜𝑠(60𝜋𝑡) 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).