Metallurgical Engineering Quiz Quiz

Test your knowledge with this 15-question quiz on the General Aptitude section of GATE 2025 Metallurgical Engineering. Covering logical reasoning, basic mathematics, coding-decoding, crystal defects, thermodynamics, and more, this quiz helps you prepare for competitive exams in the field.

1. Sentence Completion

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

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

2. Analogy

   Bird : Nest :: Bee : ?

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

3. Exponential Equivalence

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

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

4. Number Theory: Primes

   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 is not a prime number.
   2. p₁+p₂ + 1 is a prime number.
   3. p₁p₂ is not a prime number.
   4. p₁p₂ + 1 is a prime number.

5. Logical Inference

   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', what can we infer about Ramya?

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

6. Coding-Decoding Patterns

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

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

7. Table Data Interpretation

   Given the table with Input (I): 20, -4, 10, 15; Output (X): 20, 16, 26, 41; Output (Y): 20, -80, -800, -12000, which option correctly expresses the relationships?

   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); 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-1); i u003E 0

8. Area Calculation

   A square PQRS has side 2 cm. Rectangle PLMN is drawn such that L is on QR and side MN passes through S. What is the area (in cm²) of rectangle PLMN?

   1. 8
   2. 2
   3. 2√2
   4. 4

9. River System and Zones

   In a river system with 7 segments (P, Q, R, S, T, U, V) splitting land into 5 zones (Z1-Z5), which bridging option connects all zones with the minimum number of bridges?

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

10. Matrix Eigenvalues

    Which one of the following matrices has eigenvalues 1 and 6?n(A) [5 -2]n [-2 2]n(B) [3 -1]n [-2 2]n(C) [3 -1]n [-1 2]n(D) [2 -1]n [-1 3]

    1. [3 -1; -2 2]
    2. [5 -2; -2 2]
    3. [3 -1; -1 2]
    4. [2 -1; -1 3]

11. Thermodynamics: Isobaric Process

    For an isobaric process, the heat transferred is equal to the change in ______ of the system.

    1. Helmholtz free energy
    2. Gibbs free energy
    3. enthalpy
    4. entropy

12. Crystal Defect Matching

    Match each crystal defect in Column I with its type in Column II: P. Edge dislocation, Q. Stacking fault, R. Frenkel defect, S. Porosity.

    1. P-2, Q-4, R-3, S-1
    2. P-3, Q-4, R-1, S-2
    3. P-3, Q-4, R-2, S-1
    4. P-2, Q-3, R-1, S-4

13. Logical Reasoning: Statement Type

    Which type of logical fallacy occurs if someone assumes that because two events happen together, one must cause the other?

    1. Ad hominem
    2. False dilemma
    3. Post hoc fallacy
    4. Circular reasoning

14. Numerical Reasoning: Sequences

    What is the next number in the series: 3, 7, 13, 21, ?

    1. 35
    2. 41
    3. 31
    4. 27

15. Dimensional Analysis

    Which of the following has the dimensions of power?

    1. ML³T⁻²
    2. ML²T⁻³
    3. MT²L⁻³
    4. MLT⁻²