Mechanical Engineering - Online Test
Q1. Point mass M is released from rest and slides down a spherical bowl
(of radius R) from a height H as shown in the figure below. The
surface of the bowl is smooth (no friction). The velocity of the mass
at the bottom of the bowl is
Answer : Option C
Explaination / Solution:
From the principle of energy conservation,
Kinetic energy at the bottom = Potential energy at height H
1/2 mv2 = mgH ⇒ v = √2gH
Q2. Match the CORRECT pairs:
Answer : Option D
Explaination / Solution:
No Explaination.
Q3. Maximize Z=15X1 + 20X2 subject to
12X1 + 4X2 ≥ 36
12X1 – 6X2 ≤ 24
Xv X2 ≥ 0
The above linear programming problem has
Answer : Option B
Explaination / Solution:
Max z = 15x1 + 20x2 
Converting constraints equation, we get
12x1 + 4x2 = 36 ___________(1)
12x1 - 6x2 = 24 ___________(2)
We cannot optimize the constraints, as these does not have any
bounded region.
Hence, solution is unbounded.
Q4. If a2 + b2 + c2 = 1, then ab + bc + ac lies in the interval
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. If any two columns of a determinant 
are interchanged, which one of the following
statements regarding the value of the determinant is CORRECT?
are interchanged, which one of the following
statements regarding the value of the determinant is CORRECT?
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. The value of 
is
is
Answer : Option A
Explaination / Solution:
= 0/48 = 0
Q7. Given two complex numbers 
the argument of z1/z2 in
degrees is
the argument of z1/z2 in
degrees is
Answer : Option A
Explaination / Solution:
Q8. The Blasius equation related to boundary layer theory is a
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. The probability of obtaining at least two “SIX” in throwing a fair dice 4 time is
Answer : Option B
Explaination / Solution:
n = 4; p = 1/6
q = 1 - 1/6 = 5/6
Q10. A triangular facet in a CAD model has vertices: P1(0, 0, 0); P2(1, 1, 0) and P3(1, 1, 1). The area of the
facet is
Answer : Option B
Explaination / Solution:
No Explaination.
