Mechanical Engineering - Online Test
Q1. A function f(x) is defined as 
. Which one of the
following statements is TRUE?
. Which one of the
following statements is TRUE?
Answer : Option A
Explaination / Solution:
Q2. The principal stresses at a point inside a solid object are σ1 =
100 MPa, σ2 = 100 MPa and σ3 = 0MPa. The yield strength of the
material is 200 MPa. The factor of safety calculated using Tresca
(maximum shear stress) theory is nT and the factor of safety
calculated using von Mises (maximum distortional energy) theory is
nV. Which one of the following relations is TRUE?
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. For an ideal gas with constant values of specific heats, for calculation of the specific enthalpy,
Answer : Option A
Explaination / Solution:
No Explaination.
Q4. A CNC vertical milling machine has to cut a straight slot of 10 mm width and 2 mm depth by a
cutter of 10 mm diameter between points (0, 0) and (100, 100) on the XY plane (dimensions in
mm). The feed rate used for milling is 50 mm/min. Milling time for the slot (in seconds) is
Answer : Option B
Explaination / Solution:
Given data: width (b) = 10 mm 
depth (t) = 2 mm
points (0, 0) & (100, 100)
Q5. The tool life equation for HSS tool is 𝑉𝑇0.14𝑓0.7𝑑0.4 = Constant.
The tool life (T) of 30 min is obtained using the following cutting
conditions:
V = 45 m/min, f = 0.35 mm, d = 2.0 mm
If speed (V), feed (f) and depth of cut (d) are increased individually
by 25%, the tool life (in min) is
Answer : Option B
Explaination / Solution:
Given tool lite equation
𝑉𝑇0.14𝑓0.7𝑑0.4 = C
T = 30 min
And V = 45 m/min, f = 0.35 mm, d = 2.0 mm
After increasing 25%, we get
v’ = 56.25 m/min,
f’ = 0.4375 mm
d’= 2.5 mm
Q6. Consider the line integral 
The line C is shown in the figure
below.
The line C is shown in the figure
below.
Answer : Option B
Explaination / Solution:
Q7. For flow of viscous fluid over a flat plate, if the fluid temperature is the same as the plate
temperature, the thermal boundary layer is
Answer : Option D
Explaination / Solution:
No Explaination.
Q8. Which one of the following is NOT a decision taken during the aggregate production planning
stage?
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. A cylindrical job with diameter of 200 mm and height of 100
mm is to be cast using modulus method of riser design. Assume that
the bottom surface of cylindrical riser does not contribute as cooling
surface. If the diameter of the riser is equal to its height, then the
height of the riser (in mm) is
Answer : Option A
Explaination / Solution:
Given that 
for casting dc = 200 mm, hc = 100 mm
for river dr = hr
According to modules method
Q10. The probability that a k-digit number does NOT contain the digits 0.5, or 9 is
Answer : Option C
Explaination / Solution:
