Mechanical Engineering Quiz Quiz

Test your skills in general aptitude, logical reasoning, mathematics, and basic problem-solving with this 15-question quiz designed for Mechanical Engineering and GATE exam preparation.

1. Question 1

   Fish is to shoal as lion is to which of the following?

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

2. Question 2

   Which of the following sentences is grammatically correct?

   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. Question 3

   Car P travels north at 25 km/h and car Q travels east at 30 km/h from point X at 10 AM. If Q stops for a while and both are the same distance from X at 11:30 AM, how many minutes did car Q stop?

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

4. Question 4

   Which of the following statements is NOT correct for all real numbers x, considering the ceiling function ce(x) and floor function fl(x)?

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

5. Question 5

   If player P wins 80% of chess matches, draws 15%, and loses 5%, what is the probability that P wins exactly 2 out of the next 3 matches?

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

6. Question 6

   Which sequence forms a coherent paragraph about the discovery of gold in Kolar?

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

7. Question 7

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

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

8. Question 8

   A figure is reflected about a horizontal dashed line and then rotated 90° clockwise. Which option shows the correct resultant figure?

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

9. Question 9

   Which sequence arranges these shapes by increasing number of lines of symmetry: isosceles triangle, equilateral triangle, square, circle?

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

10. Question 10

    A student estimates her probability of job offers from companies S and T as 0.8 and 0.6. If p is the probability of getting offers from both, which range is most suitable for p?

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

11. Question 11

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

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

12. Question 12

    For the differential equation u_xx + u_yy = 0 for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1, which function is a solution for all x and y?

    1. u = sin x sin y
    2. u = e^(sin y)
    3. u = e^(x+y)
    4. u = cos x cos y

13. Question 13

    If a cube has a side length of 3 units, which is the total surface area of the cube?

    1. 27
    2. 18
    3. 54
    4. 36

14. Question 14

    If log(a) + log(b) = log(20), and a = 4, what is the value of b?

    1. 6
    2. 5
    3. 3
    4. 16

15. Question 15

    A train travels 60 km at 30 km/h and then 60 km at 60 km/h. What is the average speed for the entire journey?

    1. 40
    2. 45
    3. 48
    4. 42