Mechanical Engineering - Online Test
Q1. Which one of the following is the general solution of the first order differential equation 
where x, y are real?
where x, y are real?
Answer : Option D
Explaination / Solution:
Q2. There are two points P and Q on a planar rigid body. The relative velocity
between the two points
Answer : Option C
Explaination / Solution:
No Explaination.
Q3. A mono-atomic ideal gas ( γ = 1.67, molecular weight = 40) is compressed
adiabatically from 0.1MPa, 300K to 0.2MPa . The universal gas constant is
8.314kJkmol-1K-1. The work of compression of the gas (in kJ kg-1) is
Answer : Option A
Explaination / Solution:
No Explaination.
Q4. Let 
for real x. From among the following, choose the Taylor series approximation of f(x) around x = 0, which included all powers of x less than or equal to 3.
for real x. From among the following, choose the Taylor series approximation of f(x) around x = 0, which included all powers of x less than or equal to 3.
Answer : Option C
Explaination / Solution:
Q5. Suppose A and B are two independent events with probabilities P(A) ≠ 0 and P(B) ≠ 0. Let 
and 
be their complements. Which one of the following statements is FALSE?
and be their complements. Which one of the following statements is FALSE?
Answer : Option C
Explaination / Solution:
A and B are two independent events with probabilities, P(A) ≠ 0 and P(B) ≠ 0
True
True
False
True
Now, we check the given options.
True True False True
Q6. The state of plane-stress at a point is given by
σx = −200MPa, σy = 100MPa and τxy = 100MPa. The maximum shear stress in MPa is
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. Consider the following two processes:
a. A heat source at 1200K loses 2500kJ of heat to sink at 800K
b. A heat source at 800K loses 2000kJ of heat to sink at 500K
Which of the following statements is TRUE?
Answer : Option B
Explaination / Solution:
No Explaination.
Q8. Let z = x + iy be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of the following statements is NOT TRUE?
Answer : Option D
Explaination / Solution:
No Explaination.
Q9.
Answer : Option A
Explaination / Solution:
No Explaination.
Q10. A fin has 5mm diameter and 100mm length. The thermal conductivity of fin
material is 400Wm-1K-1. One end of the fin is maintained at 130ºC and its
remaining surface is exposed to ambient air at 30ºC. if the convective heat
transfer coefficient is 40Wm-2K-1, the heat loss (in W) from the fin is
Answer : Option B
Explaination / Solution:
No Explaination.
