Mechanical Gate 2023 Questions

The minute hand and second hand of a clock cross each other.............times between 09:15:00 AM and 09:45:00 AM on a day

a) 29
b) 30
c) 15
d) 31

Consider the following inequalities p² – 4q < 4; 3p + 2q < 6 where p and q are positive integers. The value of (p + q).

a) 1
b) 2
c) 3
d) 4

How many pairs of sets (S,T) are possible among the subsets of {1,2,3,4,5,6} that satisfy the condition that S is the subset of T?

a) 665
b) 664
c) 729
d) 728

In a recently held parent teacher meeting, the teacher had very few complaints about Ravi. After all Ravi was a hardworking and kind student. Incidentally, almost all Ravi’s friend at school were hard working and king too. But the teacher drew attention to Ravi’s complete lack of interest in sports. The teacher believed that along with some of his friends who showed similar disinterest in sports. Ravi needed to engage in some sports for his overall development, which statement is logically correct.

a) Some of Ravi’s friends are hardworking and kind.
b) None of the Ravi’s friends are interested in sports.
c) All of Ravi’s friends are hardworking and kind.
d) No one who is not a friend of Ravi is hard working and kind.

Which one of the sentence sequences in the given options creates a coherent narrative? (i) I could not bring myself to knock. (ii) There was a murmur of unfamiliar voices coming from the big drawing room and the door was firmly shut. (iii) The passage was dark for a bit, but then it suddenly opened into a bright kitchen. (iv) I decided I would rather wander down the passage

a) (iv), (i), (iii), (ii)
b) (iii), (i), (ii), (iv)
c) (ii), (i), (iv), (iii)
d) (i), (iii), (ii), (iv)

Planting : Seed :: Raising : ____ (By word meaning)

a) Height
b) Temperature
c) Child
d) Lift

He did not manage to fix the car himself, so he ............ in the garage.

a) got it fixed
b) got fixed
c) gets fixed
d) Getting it fixed

The value of k that makes the complex valued function. f(z) = e^–kx [cos2y – i sin2y] analytic:

A machine produces a defective component with a probability of 0.015. The number of defective components in a packed box containing 200 components produced by the machine follows a Poisson distribution. The mean and the variance of the distribution are

a) 3 and 3, respectively
b) √3 and √3, respectively
c) 0.015 and 0.015, respectively
d) 3 and 9, respectively

Consider incompressible laminar fluid flow of constant property Newtonian fluid in an isothermal circular tube. The flow is steady with fully developed temperature and velocity profiles. The Nusselt number for this flow depends on

a) the Prandtl number but not the Reynold number
b) the Reynold number but not the Prandtl number
c) neither the Reynold number not the Prandtl number
d) both the Reynold number and Prandtl number