Naval Architecture and Marine Engineering Quiz Quiz

Test your knowledge of GATE 2025 Naval Architecture and Marine Engineering with this comprehensive quiz that covers general aptitude, logical reasoning, coding-decoding, mathematics, and fundamental engineering principles. Ideal for those preparing for competitive exams in marine engineering.

1. Completing Sentences

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

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

2. Analogy

   Bird is to Nest as Bee is to ____.

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

3. Mathematical Statements

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

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

4. Prime Numbers

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

5. Logical Reasoning

   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 you logically infer about Ramya?

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

6. Coding-Decoding

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

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

7. Data Interpretation

   Given the table with Iteration (i): 0, 1, 2, 3; Input (I): 20, -4, 10, 15; Output (X): 20, 16, 26, 41 and Output (Y): 20, -80, -800, -12000, which set of equations describes X(i) and Y(i) best for i u003E 0?

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

8. Area Calculation

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

   1. 4
   2. 2
   3. 8
   4. 2√2

9. Bridges and River System

   In a river system with segments P, Q, R, S, T, U, V, and five land zones Z1-Z5, what is the least number of bridges needed to connect all zones?

   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. Limits in Calculus

    What is the value of lim (t→1) [ln t / (t² - 1)]?

    1. 0
    2. 1
    3. 1/2
    4. ∞

11. Fourier Series

    The Fourier series expansion of f(x) = sin²x in the interval (-π, π) is which of the following?

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

12. Type of Differential Equation

    For all real values of x and y, the partial differential equation ∂²ψ/∂x∂y - 3 = 0 is of which type?

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

13. Fluid Mechanics

    The sum of the static pressure and dynamic pressure at a point in a fluid flow is called the ____.

    1. stagnation pressure
    2. vacuum pressure
    3. kinematic pressure
    4. kinetic pressure

14. Analytical Reasoning

    If a cube is made by folding a paper where each square corresponds to a face, which of the following must be considered when determining the resulting cube's configuration?

    1. Assuming all sides are identical due to symmetry
    2. Matching edge patterns only
    3. Relative positions of the squares in the net
    4. Relying only on color of each face

15. Number Properties

    If p is a prime number, which of the following expressions can never result in a prime number for all primes p u003E 2?

    1. p + 1
    2. 2p
    3. p + 2
    4. p^2