2025 · Paper 1

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

Questions 10–12 of 65. Imported answers require review unless explicitly marked reviewed.

Question 10

Open question

GAMCQ2 marksNeeds review

The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?

Note: The figure shown is representative.



Your answerChoose one option.

A.

Bridges on P, Q, and T

B.

Bridges on P, Q, S, and T

C.

Bridges on Q, R, T, and V

D.

Bridges on P, Q, S, U, and V

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Question 11

Open question

INMCQ1 markNeeds review

A



matrix



has its elements as



where



is any integer greater than 2 and



is any non-zero real number. The rank of



is

Your answerChoose one option.

A.

1

B.

2

C.

n

D.

2n

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Question 12

Open question

INMCQ1 markNeeds review

The solution of the differential equation



represents

Your answerChoose one option.

A.

a hyperbola

B.

a parabola

C.

an ellipse

D.

a circle

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