GATE CS 2025 | Set 2

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Question 1

Despite his initial hesitation, Rehman’s _________ to contribute to the success of the project never wavered. 

Select the most appropriate option to complete the above sentence.


  •  ambivalence 


  • satisfaction

  •  resolve

  • revolve

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Question 2

Bird : Nest :: Bee : _______ 

Select the correct option to complete the analogy. 


  •  Kennel 


  •  Hammock 


  • Hive

  • Lair


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Question 3

If 𝑃𝑒 π‘₯ = 𝑄𝑒 βˆ’π‘₯ for all real values of π‘₯, which one of the following statements is true? 


  •  π‘ƒ = 𝑄 = 0 


  •  π‘ƒ = 𝑄 = 1 


  • 𝑃 = 1; 𝑄 = βˆ’1 


  • 𝑃/𝑄 = 0


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Question 4

The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?

Note: The figures shown are representative

Open_dice
Figure



  • dice1
    option 1



  • dice2
    option 2



  • dice3
    option 3



  • dice4
    option 4



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Question 5

Let 𝑝1 and 𝑝2 denote two arbitrary prime numbers. Which one of the following statements is correct for all values of 𝑝1 and 𝑝2? 


  •  π‘1 + 𝑝2 is not a prime number


  • 𝑝1𝑝2 is not a prime number


  • 𝑝1 + 𝑝2 + 1 is a prime number


  • 𝑝1 + 𝑝2 + 1 is a prime number


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Question 6

Based only on the conversation below, identify the logically correct inference:

β€œEven if I had known that you were in the hospital, I would not have gone there to see you”, Ramya told Josephine.

  • Ramya knew that Josephine was in the hospital.

  • Ramya did not know that Josephine was in the hospital.

  • Ramya and Josephine were once close friends; but now, they are not.

  • Josephine was in the hospital due to an injury to her leg.

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Question 7

If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?

  • CEADP

  • IDBFC

  • JGIBC

  • IBCEC

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Question 8

Which one of the following options is correct for the given data in the table?

Iteration_table_aptitude
Figure



  • 𝑋(𝑖) = 𝑋(𝑖 βˆ’ 1) + 𝐼(𝑖); π‘Œ(𝑖) = π‘Œ(𝑖 βˆ’ 1)𝐼(𝑖); 𝑖 > 0

  • 𝑋(𝑖) = 𝑋(𝑖 βˆ’ 1)𝐼(𝑖); π‘Œ(𝑖) = π‘Œ(𝑖 βˆ’ 1) + 𝐼(𝑖); 𝑖 > 0

  • 𝑋(𝑖) = 𝑋(𝑖 βˆ’ 1)𝐼(𝑖); π‘Œ(𝑖) = π‘Œ(𝑖 βˆ’ 1)𝐼(𝑖); 𝑖 > 0

  • 𝑋(𝑖) = 𝑋(𝑖 βˆ’ 1) + 𝐼(𝑖); π‘Œ(𝑖) = π‘Œ(𝑖 βˆ’ 1)𝐼(𝑖 βˆ’ 1); 𝑖 > 0

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Question 9

In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square. What is the area (in cm2 ) of the rectangle PLMN? Note: The figure shown is representative.

area_of_PLMN
figure



  • 2√2

  • 2

  • 8

  • 4

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Question 10

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.

Screenshot-2025-03-10-111654


  • Bridges on P, Q, and T

  • Bridges on P, Q, S, and T

  • Bridges on Q, R, T, and V

  • Bridges on P, Q, S, U, and V

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