GATE 2022 Toppers Weekly Quiz 4

In a family, there are total consumption of 35 kg wheat and 12 kg of sugar every month. If the price of sugar is  more than that of wheat. And if he spends total Rs. 765 on the wheat and sugar every month. If the price of sugar in increased by %. Find the percentage of reduction on the wheat consumption so the expenditure remains the same.

A feedback control system is shown below which has ζ = 0.5 and ω_n = 4 rad/sec. The values of K and K_t are respectively:

Which letter—cluster will replace the question mark (?) in the following series?

HQCF, MVHK, JSEH, OXJM, ?

Match the following Lists

In the following diagram, the triangle represents 'Dentists‘, the circle represents 'Professors' and the rectangle represents ‘Doctors’. The numbers in different segments show the number of persons.

How many professors are dentists but not doctors?

If the line shown below is operating at 400 MHz, then its input impedance Z_in will be

A square wave with frequency = 5 kHz

This signal is passed through an ideal low-pass filter with 0 dB of passband gain and 10 kHz of cut-off frequency. The filtered signal is subsequently buried additively into a zero mean noise processed with one-sided power spectral density (PSD) of 20 nW Hz ^{– 1}. Upto a frequency of 2.5 MHz. The PSD of noise is zero beyond 2.5 MHz. The signal to noise ratio of the output is _______dB.

The formula of density of a gas is defined by , where  density,  mass,  Volume. Find the percentage change in density if the mass is increased by 35% and volume is decreased by 20%.

For a given P⁺ - N Si junction diode with N_D = 10¹⁵ cm^-3 and n_i= 10¹⁰ cm^-3 Find the electric field at the midpoint of the depletion region on the n-side. (let reverse bias voltage = 100V)