GATE IN year:2025 PYQs & Answers — Page 2

Questions 11–20 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 2 of 7

matrix

has its elements as

where

is any integer greater than 2 and

is any non-zero real number. The rank of

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The solution of the differential equation

represents

Your answerChoose one option.

a hyperbola

a parabola

an ellipse

a circle

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The working of the hand-held metal detector most widely used by security personnel for human frisking is based on the principle of

Your answerChoose one option.

change in reluctance of an iron core in presence of a metallic object

change in conductance of an iron core in presence of a metallic object

electric field induced by a metallic object

eddy current generation in a metallic object

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The primary coil of a linear variable differential transformer (LVDT) is supplied with AC voltage as shown in the figure. The secondary coils are connected in series opposition and the output is measured using a true RMS voltmeter. The displacement

of the core is indicated in mm on a linear scale. At the null position

, the voltmeter reads 0 V. If the voltmeter reads 0.2 V for a displacement of

mm, then for a displacement of

mm, the voltmeter reading, in V, is

Diagram for Instrumentation Engineering question 14

Your answerChoose one option.

−0.3

−0.1

0.3

0.5

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In the force transducer shown in Figure (a), four identical strain gauges S1, S2, S3, and S4 are mounted on a cantilever at equal distance from its base. S1 and S2 are mounted on the top surface and S3 and S4 are mounted on the bottom surface, as shown in the Figure (a). These strain gauges are to be connected to form a Wheatstone bridge consisting of four arms A, B, C, and D, as shown in Figure (b). From the following options, the correct order to maximize the measurement sensitivity is

Diagram for Instrumentation Engineering question 15

Your answerChoose one option.

A → S1, B → S2, C → S4, D → S3

A → S1, B → S4, C → S3, D → S2

A → S1, B → S2, C → S3, D → S4

A → S1, B → S4, C → S2, D → S3

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let a continuous-time signal be

, where

and

is in seconds. The fundamental period of magnitude of

, in seconds, is

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The minimized expression of the Boolean function Y(P, Q, R) implemented by the multiplexer (MUX) circuit shown in the figure is

Diagram for Instrumentation Engineering question 17

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The 4-bit signed 2’s complement form of

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

An infinite sheet of uniform charge

is placed on

plane. The medium surrounding the sheet has a relative permittivity of 10. The electric flux density, in

, at a point P(0, 0, 5) is

Note:

, and

are unit vectors along the x, y, and z directions, respectively.

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

For the ideal opamp based circuit shown in the figure, the ratio

Diagram for Instrumentation Engineering question 20

Your answerChoose one option.

$\left(\frac\right)R_1

$\left(\frac\right)R_3

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE IN year:2025 PYQs

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20