Naval Architecture and Marine Engineering Quiz Quiz

Test your understanding of general aptitude, reasoning, and core mathematical concepts relevant to Naval Architecture and Marine Engineering in GATE 2025. This quiz is designed to assess key principles, problem-solving skills, and analytical thinking abilities necessary for the GATE NM paper.

1. Question 1

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

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

2. Question 2

   Bird is to Nest as Bee is to which of the following?

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

3. Question 3

   If Peˣ = Qe⁻ˣ holds for all real values of x, which one of the following must be true?

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

4. Question 4

   Given a paper with squares is folded to form a cube, and each square corresponds to a face, which one of the following best represents the correctly formed cube?

   1. Option A
   2. Option B
   3. Option D
   4. Option C

5. Question 5

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

   1. P1+P2 + 1 is a prime number.
   2. P1P2 is not a prime number.
   3. P1 + p2 is not a prime number.
   4. P1P2 + 1 is a prime number.

6. Question 6

   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 is the logically correct inference?

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

7. Question 7

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

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

8. Question 8

   Given the input and outputs in the table below, which option describes the relation?nIteration: 0 | 1 | 2 | 3nInput (I): 20 | -4 | 10 | 15nOutput (X): 20 | 16 | 26 | 41nOutput (Y): 20 | -80 | -800 | -12000

   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

9. Question 9

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

   1. 2√2
   2. 2
   3. 4
   4. 8

10. Question 10

    Given a river system dividing land into 5 zones (Z1-Z5) and 7 segments (P, Q, R, S, T, U, V), what is the minimal set of bridges to connect all zones?

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

11. Question 11

    What is the value of limₜ→₁ (ln t)/(t²−1)?

    1. 1/2
    2. 1
    3. 0
    4. ∞

12. Question 12

    What is the Fourier series expansion of f(x) = sin²x in the interval (−π, π)?

    1. f(x) = 1/2 - 1/2 cos 2x
    2. f(x) = ∑_{n=1}^∞ (−1)^{n−1} cos nx / n²
    3. f(x) = 1/2 - 4/π² ∑_{n=1}^∞ cos(2n−1)πx / (2n−1)²
    4. f(x) = 2 ∑_{n=1}^∞ sin 2nx / n

13. Question 13

    For all real values of x and y, the partial differential equation ∂²ψ/∂x∂y − 324 = 0 is classified as which type?

    1. parabolic
    2. elliptic within the region, x² − y u003C 0
    3. hyperbolic
    4. elliptic

14. Question 14

    If the sum of the static pressure and dynamic pressure is constant along a streamline in an inviscid and incompressible flow, what fundamental principle does this illustrate?

    1. Newton's second law
    2. Bernoulli's theorem
    3. Pascal's law
    4. Archimedes principle

15. Question 15

    Which one of the following correctly explains the relationship between buoyant force and weight of fluid displaced according to Archimedes’ principle?

    1. Buoyant force is twice the weight of fluid displaced.
    2. Buoyant force is always equal to the total weight of the object.
    3. Buoyant force is unrelated to fluid displacement.
    4. Buoyant force equals the weight of fluid displaced by the object.