Computer Science and Information Technology Quiz-2 Quiz

Challenge your understanding of GATE 2025 Computer Science and Information Technology (CS2) general aptitude and analytical reasoning with these medium-difficulty questions. Test your skills in English proficiency, coding patterns, analogies, mathematics, logic, and deductive reasoning.

1. Dedication in the Project

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

   1. satisfaction
   2. resolve
   3. ambivalence
   4. revolve

2. Analogy: Bee's Home

   Bird is to Nest as Bee is to ____?

   1. Lair
   2. Kennel
   3. Hammock
   4. Hive

3. Exponential Equation

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

   1. P = 1; Q = -1
   2. P = Q = 0
   3. P = Q = 1
   4. ᴾ/Q = 0

4. Prime Numbers Operation

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

   1. p₁ + p₂ + 1 is a prime number.
   2. P1P2 is not a prime number.
   3. P1P2 + 1 is a prime number.
   4. p₁ + p₂ is not a prime number.

5. Inferring from Statements

   Based only on the conversation, 'Even if I had known that you were in the hospital, I would not have gone there to see you', which inference is logically correct?

   1. Josephine was in the hospital due to an injury to her leg.
   2. Ramya and Josephine were once close friends; but now, they are not.
   3. Ramya knew that Josephine was in the hospital.
   4. Ramya did not know that Josephine was in the hospital.

6. Coding Pattern

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

   1. JGIBC
   2. IDBFC
   3. CEADP
   4. IBCEC

7. Table Pattern Recognition

   Given the table:n| Iteration (i) | 0 | 1 | 2 | 3 |n| Input (I) | 20 | -4 | 10 | 15 |n| Output (X) | 20 | 16 | 26 | 41 |n| Output (Y) | 20 | -80| -800| -12000|nWhich one of the following best describes the pattern?

   1. X(i) = X(i-1)I(i); Y(i) = Y(i-1) + I(i); i u003E 0
   2. X(i) = X(i-1) + I(i); Y(i) = Y(i - 1)I(i - 1); i u003E 0
   3. X(i) = X(i-1) + I(i); Y(i) = Y(i-1)I(i); i u003E 0
   4. X(i) = X(i-1)I(i); Y(i) = Y(i-1)I(i); i u003E 0

8. Area of Rectangle in Square

   If PQRS is a square of side 2 cm, and PLMN is a rectangle such that L is on side QR and side MN passes through S, what is the area (in cm²) of rectangle PLMN?

   1. 4
   2. 2√2
   3. 8
   4. 2

9. River System Bridges

   Given a river system with 7 segments dividing the land into 5 zones (Z1 to Z5), what is the least number of bridges required to connect these zones?

   1. Bridges on P, Q, and T
   2. Bridges on Q, R, T, and V
   3. Bridges on P, Q, S, U, and V
   4. Bridges on P, Q, S, and T

10. Matrix Powers

    If A = [[1, 2], [2, -1]], then which one of the following is A⁸?

    1. [[3125, 0],[0, 3125]]
    2. [[625, 0],[0, 625]]
    3. [[125, 0],[0, 125]]
    4. [[25, 0],[0, 25]]

11. Integral Equation

    What is the value of x u003E 1 that satisfies the equation ∫₁ˣ t ln t dt = ¼ ?

    1. e - 1
    2. √e
    3. e
    4. e²

12. Binary Tree Node Count

    Consider a binary tree in which every node has either zero or two children. If n u003E 0 is the total number of nodes, what is the number of nodes that have exactly two children?

    1. n/2
    2. (n-1)/2
    3. (n+1)/2
    4. (n-2)/2

13. Logical Reasoning Sequence

    If every square is a rectangle and every rectangle is a quadrilateral, what can be inferred?

    1. Every square is a quadrilateral.
    2. Every quadrilateral is a square.
    3. Some rectangles are not squares.
    4. No rectangles are quadrilaterals.

14. Numerical Series

    What is the next number in the sequence: 3, 8, 15, 24, 35, ___?

    1. 50
    2. 40
    3. 48
    4. 46

15. Reading Comprehension

    If someone is described as meticulous in their work, what does this suggest about their approach?

    1. They disregard all instructions.
    2. They are careless and negligent.
    3. They pay great attention to detail.
    4. They are quick but sloppy.