Mechanical Engineering - Online Test
Q1. A machine produces 0, 1 or 2 defective pieces in a day with associated probability of 1/6, 2/3
and 1/6, respectively. The mean value and the variance of the number of defective pieces
produced by the machine in a day, respectively, are
Answer : Option A
Explaination / Solution:
Let ‘x’ be no. of defective pieces.
Q2. Consider the given project network, where numbers along various activities represent the
normal time. The free float on activity 4-6 and the project duration, respectively, are
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. The maximum value of F(x) = x3 – 9x2 + 24x + 5 in the interval [1, 6] is
Answer : Option C
Explaination / Solution:
Q4. Consider a simply supported beam of length, 50h, with a rectangular cross-section of depth,
h, and width, 2h. The beam carries a vertical point load, P, at its mid-point. The ratio of the
maximum shear stress to the maximum bending stress in the beam is
Answer : Option D
Explaination / Solution:
Given, b = 2h, d = h, l = 50h, force = p
Q5. A certain amount of an ideal gas is initially at a pressure P1 and temperature T1. First, it
undergoes a constant pressure process 1-2 such that T2 = 3T1/4. Then, it undergoes a constant
volume process 2-3 such that T3 = T1/2. The ratio of the final volume to the initial volume of
the ideal gas is
Answer : Option B
Explaination / Solution:
For (1-2)process : Cons tan t pressureprocess {P2 = P1}
For (2-3) process : Cons tan t Volume process{V3 = V2}
Q6. A cylindrical blind riser with diameter d and height h, is placed on the top of the mold cavity
of a closed type sand mold as shown in the figure. If the riser is of constant volume, then the
rate of solidification in the riser is the least when the ratio h/d is 
Answer : Option A
Explaination / Solution:
Q7. 
Answer : Option B
Explaination / Solution:
Q8. An annular disc has a mass m, inner radius R and outer radius 2R. The disc rolls on a flat
surface without slipping. If the velocity of the centre of mass is v, the kinetic energy of the
disc is
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. A siphon is used to drain water from a large tank as shown in the figure below. Assume that
the level of water is maintained constant. Ignore frictional effect due to viscosity and losses at
entry and exit. At the exit of the siphon, the velocity of water is
Answer : Option B
Explaination / Solution:
Applying Bernoulli’s equation between the points ‘P’ and ‘R’.
Since the level of liquid in tank remains the same, Vp = 0
Q10. Which pair of following statements is correct for orthogonal cutting using a single-point
cutting tool?
P. Reduction in friction angle increases cutting force
Reduction in friction angle decreases cutting force
R. Reduction in friction angle increases chip thickness
S. Reduction in friction angle decreases chip thickness
Answer : Option D
Explaination / Solution:
No Explaination.
