Mechanical Engineering Quiz Quiz

This 15-question quiz tests your knowledge of general aptitude, verbal reasoning, probability, coding-decoding, logical sequences, symmetry, and basic mathematics as seen in the GATE 2025 Mechanical Engineering (ME) exam. Sharpen your problem-solving and analytical skills with these medium-difficulty MCQs tailored for mechanical engineering aspirants.

1. Analogy Question

   Fish form a shoal, analogous to lions which form a what?

   1. School
   2. Pride
   3. Forest
   4. Series

2. Grammar Question

   Which sentence is grammatically correct: 'It is ____ who ____ responsible for this fiasco.'?

   1. It is I who am responsible for this fiasco.
   2. It is myself who is responsible for this fiasco.
   3. It is I who are responsible for this fiasco.
   4. It is I who is responsible for this fiasco.

3. Travel and Speed

   Two cars start from point X at 10 AM, car P goes North at 25 km/h, car Q goes East at 30 km/h but stops after one hour. If at 11:30 AM both are equally distant from X, for how long in minutes did car Q stop?

   1. 12
   2. 15
   3. 18
   4. 10

4. Ceiling and Floor Functions

   Which of the following statements is NOT correct for all real values of x: ce(x) ≥ x, fl(x) ≤ x, ce(x) ≥ fl(x), or fl(x) u003C ce(x)?

   1. fl(x) ≤ x
   2. ce(x) ≥ x
   3. ce(x) ≥ fl(x)
   4. fl(x) u003C ce(x)

5. Probability in Games

   P wins 80%, draws 15%, and loses 5% of chess matches vs Q. If they play 3 more matches, what is the probability that P wins exactly 2 of these 3?

   1. 16/125
   2. 48/125
   3. 25/48
   4. 16/25

6. Logical Sequence

   Arrange the following parts to form a coherent paragraph about the discovery of gold in Kolar:nP: At once, people rushed towards the city...nQ: Little did they realize the hardships...nR: All thought they could get gold easily...nS: News of gold discovery spread like wildfire.

   1. P→Q→R→S
   2. S→P→R→Q
   3. S→Q→P→R
   4. Q→S→R→P

7. Coding-Decoding

   If 'HIDE' and 'CAGE' are coded as 19-23-7-11 and 5-2-17-11, respectively, what is the code for 'HIGH'?

   1. 5-17-1-2
   2. 19-23-17-19
   3. 13-3-1-2
   4. 17-19-13-17

8. Mirror and Rotation Reasoning

   A figure is reflected about a horizontal dashed line and then rotated clockwise by 90° about an axis perpendicular to the plane. Which option correctly shows the final figure?

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

9. Lines of Symmetry

   Which option lists the objects in order of increasing number of mirror lines: Isosceles triangle, Equilateral triangle, Square, Circle?

   1. Isosceles triangle; Equilateral triangle; Square; Circle
   2. Circle; Square; Equilateral triangle; Isosceles triangle
   3. Isosceles triangle; Square; Equilateral triangle; Circle
   4. Equilateral triangle; Isosceles triangle; Square; Circle

10. Probability Range

    A student’s probability of receiving job offers from two companies S and T is 0.8 and 0.6 respectively. What is the possible range for the probability p that she receives offer from both companies?

    1. 0.4 ≤ p ≤ 0.6
    2. 0≤p≤0.2
    3. 0.6 ≤ p ≤ 1.0
    4. 0.2 ≤ p ≤ 0.4

11. Properties of Symmetric Matrices

    Let A and B be real symmetric matrices of the same size. Which statement is always true?

    1. AB = BA
    2. A = A
    3. (AB)T = BTAT
    4. AT = A

12. Solutions to Differential Equations

    Given the differential equation ∂u/∂x + ∂u/∂y = 0 for 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, which function is a solution for all x and y?

    1. u = cosx cosy
    2. u = e^(sin y)
    3. u = e^(x+y)
    4. u = sinx siny

13. Basic Probability

    If a fair six-sided die is rolled once, what is the probability of getting a number greater than 4?

    1. 1/2
    2. 2/3
    3. 1/6
    4. 1/3

14. Logical Reasoning

    In a certain code, if CAT is coded as 3120, and DOG as 4157, what would be the code for GOD?

    1. 4715
    2. 7514
    3. 4157
    4. 5741

15. Analogy

    Train is to Track as Boat is to what?

    1. Port
    2. Sail
    3. Water
    4. Ship