CS and IT GATE 2025 SET-2 Questions with Answer

Ques 40 Engineering Mathematics

A quadratic polynomial (x-α)(x-β) over complex numbers is said to be square invariant if (x-α)(x-β)=(x-α²)(x-β²). Suppose from the set of all square invariant quadratic polynomials we choose one at random.
The probability that the roots of the chosen polynomial are equal is ______ (rounded off to one decimal place)

Ques 41 Engineering Mathematics

The unit interval (0,1) is divided at a point chosen uniformly distributed over (0,1) in IR into two disjoint subintervals.
The expected length of the subinterval that contains 0.4 is ______ (rounded off to two decimal places)

Ques 42 General Aptitude

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

Ques 43 General Aptitude

Bird: Nest :: Bee: ______
Select the correct option to complete the analogy.

Kennel

Hammock

Hive

Lair

Ques 44 General Aptitude

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

P=Q=0

P=Q=1

P=1; Q=-1

P/Q=0

Ques 45 General Aptitude

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.

Ques 46 General Aptitude

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.

p₁p₂+1 is a prime number.

Ques 47 General Aptitude

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.

Ques 48 General Aptitude

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

Ques 49 General Aptitude

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

Iteration (i)	0	1	2	3
Input (I)	20	-4	10	15
Output (X)	20	16	26	41
Output (Y)	20	-80	-800	-12000

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

Ques 50 General Aptitude

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.

2√2

Ques 51 General Aptitude

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, and T

Bridges on P, Q, S, and T

Bridges on Q, R, T, and V

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

Ques 52 Operating Systems

Processes P1, P2, P3, P4 arrive in that order at times 0, 1, 2, and 8 milliseconds respectively, and have execution times of 10, 13, 6, and 9 milliseconds respectively. Shortest Remaining Time First (SRTF) algorithm is used as the CPU scheduling policy. Ignore context switching times.
Which ONE of the following correctly gives the average turnaround time of the four processes in milliseconds?

1 2 3 4 5

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CS and IT GATE 2025 SET-2 Questions with Answer