Metallurgical Engineering Quiz Quiz

Test your understanding of key metallurgical engineering concepts and general aptitude with this 15-question quiz, inspired by recent GATE Metallurgical Engineering (MT) questions. Enhance your aptitude, coding, logic, and foundational knowledge for competitive exams.

1. Question 1

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

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

2. Question 2

   In the analogy Bird : Nest :: Bee : ?, which option best completes the pair?

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

3. Question 3

   If P·eˣ = Q·e⁻ˣ for all real values of x, what must be the values of P and Q?

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

4. Question 4

   Given two arbitrary prime numbers p₁ and p₂, which statement is correct for all values of p₁ and p₂?

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

5. Question 5

   Based only on this statement, select 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.

   1. Ramya did not know that Josephine was in the hospital.
   2. Ramya and Josephine are former friends.
   3. Ramya knew that Josephine was in the hospital.
   4. Josephine was hospitalized due to a leg injury.

6. Question 6

   If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively, which of the following is the correct code for BEACH?

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

7. Question 7

   Given 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. Which relation fits X(i), Y(i) for i u003E 0?

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

8. Question 8

   In a geometry problem, PQRS is a square of side 2 cm, and rectangle PLMN is such that one corner lies on side QR, while side MN passes through S. What is the area (in cm²) of the rectangle PLMN?

   1. 8
   2. 4
   3. 2
   4. 2√2

9. Question 9

   In a river system with 7 segments splitting the land into 5 zones (Z1-Z5), what is the minimum set of segments needing bridges to connect all zones?

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

10. Question 10

    Which one of the following 2x2 matrices has eigenvalues 1 and 6: (A) [5 -2; -2 2], (B) [3 -1; -2 2], (C) [3 -1; -1 2], (D) [2 -1; -1 3]?

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

11. Question 11

    For an isobaric process, the heat transferred to the system is equal to the change in which thermodynamic property?

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

12. Question 12

    Match each crystal defect with its type: P. Edge dislocation, Q. Stacking fault, R. Frenkel defect, S. Porosity; with options 1. Zero-dimensional, 2. One-dimensional, 3. Two-dimensional, 4. Three-dimensional. Which is correct?

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

13. Question 13

    Which logical inference can you draw if a person always chooses buses over trains for their commute?

    1. The person prefers buses to trains.
    2. Buses are always faster than trains.
    3. The person cannot afford train tickets.
    4. Trains are not available on their route.

14. Question 14

    Given that a material's density is 8 g/cm³ and its mass is 400 g, what is its volume in cm³?

    1. 32
    2. 40
    3. 100
    4. 50

15. Question 15

    What is the main crystal structure found in pure iron at room temperature?

    1. Face-centered cubic
    2. Hexagonal close-packed
    3. Body-centered cubic
    4. Simple cubic