GATE CS 2025 | Set 2 (original) (raw)

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.

Question 2

Bird : Nest :: Bee : _______

Select the correct option to complete the analogy.

Question 3

If 𝑃𝑒 𝑥 = 𝑄𝑒 −𝑥 for all real values of 𝑥, which one of the following statements is true?

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

Figure

• 
  option 1
• 
  option 2
• 
  option 3
• 
  option 4

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?

• 𝑝1 + 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

Question 6

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

“Even 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.

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 ?

Question 8

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

Figure

• 𝑋(𝑖) = 𝑋(𝑖 − 1) + 𝐼(𝑖); 𝑌(𝑖) = 𝑌(𝑖 − 1)𝐼(𝑖); 𝑖 > 0
• 𝑋(𝑖) = 𝑋(𝑖 − 1)𝐼(𝑖); 𝑌(𝑖) = 𝑌(𝑖 − 1) + 𝐼(𝑖); 𝑖 > 0
• 𝑋(𝑖) = 𝑋(𝑖 − 1)𝐼(𝑖); 𝑌(𝑖) = 𝑌(𝑖 − 1)𝐼(𝑖); 𝑖 > 0
• 𝑋(𝑖) = 𝑋(𝑖 − 1) + 𝐼(𝑖); 𝑌(𝑖) = 𝑌(𝑖 − 1)𝐼(𝑖 − 1); 𝑖 > 0

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.

figure

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.

• Bridges on P, Q, S, and T
• Bridges on Q, R, T, and V
• Bridges on P, Q, S, U, and V

There are 65 questions to complete.

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