2025 · Paper 1

Complete GATE ECE 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 34–36 of 65. Imported answers require review unless explicitly marked reviewed.

Question 34

Open question

ECNAT1 markNeeds review

All the components in the bandpass filter given below are ideal. The lower



frequency of the filter is 1 MHz.

The upper



frequency (in MHz, rounded off to the nearest integer) is ________.



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Question 35

Open question

ECNAT1 markNeeds review

A 4-bit weighted-resistor DAC with inputs



,



,



, and



(MSB to LSB) is designed using an ideal op amp, as shown below. The switches are closed when the corresponding input bits are logic ‘1’ and open otherwise.

When the input



changes from 1110 to 1101, the magnitude of the change in the output voltage



(in mV, rounded off to the nearest integer) is ________.



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Question 36

Open question

ECMCQ2 marksNeeds review

Let



be the transfer function of a second-order system. A controller



is connected to the system



in the configuration shown below.

Consider the following statements.

(i) There exists no controller of the form



, where



is a positive real number, such that the closed loop system is stable.

(ii) There exists at least one controller of the form



, where



and



are positive real numbers, such that the closed loop system is stable.

Which one of the following options is correct?



Your answerChoose one option.

A.

(i) is TRUE and (ii) is FALSE

B.

(i) is FALSE and (ii) is TRUE

C.

Both (i) and (ii) are FALSE

D.

Both (i) and (ii) are TRUE

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