GATE DA 2025

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Question 1

Courage : Bravery :: Yearning : __________

Select the most appropriate option to complete the analogy.

  • Longing

  • Yelling

  • Yawning

  • Glaring

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Question 2

We __________ tennis in the lawn when it suddenly started to rain.

Select the most appropriate option to complete the above sentence. 

  • have been playing

  • had been playing

  • would have been playing

  • could be playing

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Question 3

A 4 Γ— 4 digital image has pixel intensities (π‘ˆ) as shown in the figure. The number of pixels with π‘ˆ ≀ 4 is:

gata_da_2024_ques_3

  • 3

  • 8

  • 11

  • 9

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Question 4

In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of P, Q, and R?

Screenshot_9-7-2025_145936_

  • P = 6; Q = 5; R = 3

  • P = 5; Q = 6; R = 3

  • P = 3; Q = 6; R = 6

  • P = 5; Q = 3; R = 6

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Question 5

A rectangle has a length L and a width W, where L > W. If the width, W, is increased by 10%, which one of the following statements is correct for all values of L and W?

  • Perimeter increases by 10%.

  • Length of the diagonals increases by 10%.

  • Area increases by 10%.

  • The rectangle becomes a square.

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Question 6

Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk.

Column - I

Column - II

P.

This house is in a mess.

1.

Alright, I won't bring it up during our conversations

Q.

I am not happy with the marks given to me.

2.

Well, you can easily look it up.

R.

Politics is a subject I avoid talking about.

3.

No problem, let me clear it up for you.

S.

I don't know what this word means.

4.

Don't worry, I will take it up with your teacher.


  • P – 2; Q – 3; R – 1; S – 4

  • P – 3; Q – 4; R – 1; S – 2

  • P – 4; Q – 1; R – 2; S – 3

  • P – 1; Q – 2; R – 4; S – 3

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Question 7

Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical for two brothers, and it monotonically increases till the age of 50 years and then it monotonically decreases. Let π‘Ž1 and π‘Ž2 (in years) denote the ages of the brothers and π‘Ž1 < π‘Ž2. Which one of the following statements is correct about their age on the day when they attain the same weight?

  • π‘Ž1 < π‘Ž2 < 50

  • π‘Ž1 < 50 < π‘Ž2

  • 50 < π‘Ž1 < π‘Ž2

  • Either π‘Ž1 = 50 or π‘Ž2 = 50

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Question 8

A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All the triangles (numbered 1 to 12) in the figure are used to form squares of side r cm and each numbered triangle is used only once to form a square.

The number of squares that can be formed and the number of triangles required to form each square, respectively, are:

Note: The figure shown is representative.

1


  • 3; 4

  • 4; 3

  • 3; 3

  • 3; 2

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Question 9

If a real variable π‘₯ satisfies [Tex]3^{x^{2}}=27\times9^{x}[/Tex], then the value of [Tex]\frac{2^{x^{2}}}{(2^{x})^{2}}[/Tex] is:

  • 2-1

  • 20

  • 23

  • 215

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Question 10

The number of patients per shift (𝑋) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is β‚Ή 1000(𝑋 βˆ’ 0.2), what is the average amount (in β‚Ή) she has earned per shift in the past 100 shifts? Note: The figure shown is representative

1

  • 6,100

  • 6,300

  • 6,000

  • 6,500

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