Mechanical Engineering - Online Test
Q1. A 200 × 100 × 50 mm steel block is subjected to a hydrostatic pressure of 15
MPa.
The Young’s modulus and Poisson’s ratio of the material are 200 GPa and 0.3
respectively. The change in the volume of the block in mm2 is
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. A bolted joint is shown below. The maximum shear stress, in MPa in the bolts
at A and B , respectively are
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. If 
then the initial and final values of f(t) are
respectively
then the initial and final values of f(t) are
respectively
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. A block-brake shown below has a face width of 300 mm and a mean co-efficient
of friction of 0.25. For an activating force of 400 N, the braking torque in Nm is
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. A numerical solution of the equation 
can be obtained using
Newton- Raphson method. If the starting value is x = 2 for the iteration, the
value of x that is to be used in the next step is
can be obtained using
Newton- Raphson method. If the starting value is x = 2 for the iteration, the
value of x that is to be used in the next step is
Answer : Option C
Explaination / Solution:
Substituting x0 = 2 we get
Newton Raphson Method
Substituting all values we have
Q6. The system of equations
x + Y + z = 6
x + 4y + 6y = 20
x + 4y + λz = μ
has NO solution for values of λ and μ given by
Answer : Option B
Explaination / Solution:
Writing A:B we have
Apply R3⟶R3 – R2
For equation to have solution, rank of A and A:B must be same. Thus for no
solution; λ = 6, μ ≠ 20
Q7. A fair dice is tossed two times. The probability that the second toss results in a value that is higher than the first toss is
Answer : Option C
Explaination / Solution:
Total outcome are 36 out of which favorable outcomes are :
(1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6);
(3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6) which are 15.
P(E) = (No of favourable outcomes/No of total outcomes) = 15/36
= 5/12
Q8. Three friends, R, S and T shared toffee from a bowl. R took 1/3rd of the toffees, but returned four to the bowl. S took 1/4th of what was left but returned three toffees to the bowl. T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees-were originally there in the bowl?
Answer : Option C
Explaination / Solution:
Let total no of toffees be x . The following table shows the all calculations.
Q9. Given that 
and q is any non-zero real number, the value
of |f(q) - f(-q)| is
and q is any non-zero real number, the value
of |f(q) - f(-q)| is
Answer : Option D
Explaination / Solution:
Q10. The sum of n terms of the series 4 + 44 + 444 + .... is
Answer : Option C
Explaination / Solution:
