Practice Test: Mechanical Engineering (ME)- 15 - Mechanical Engineering MCQ

Conclusion I and II are complementary. So either conclusion I or conclusion II follows the statement.

Man does not live by bread alone.

Extraneous – irrelevant or unrelated to the subject being dealt with

A deaf person doesn't hear well, irrespective of any language. Tongue is not necessary to produce sound. Every voice doesn't produce vibration. But..... if a person doesn't speak anything, he is considered to be dumb. Hence, a is correct.

Log(a/b) + log(b/a) =log(a+b)
loga- logb+logb-loga=log(a+b)
0=log(a+b)
exp(0)=a+b
1=a+b

Let number of candidates be n
50 × n – 100 × 30 = 45 × n
n = 600

Number of cubes with 3 faces red = 8
Number of cubes with 2 faces red = 24
Number of cubes with 1 face red = 24
Number of cubes with no face red = 64-(24+24+8) = 8

This is clearly the best answer because the paragraph directly states that warm weather affects consumers inclination to spend. It furthers states that the sales of single-family homes was at an all-time high. There is no support for choice a or c. Choice b is wrong because even though there were high sales for a particular February, this does not mean that sales are not higher in other months. Choice d presents a misleading figure of 4 million. The paragraph states that the record of 4.75 million was at an annual, not a monthly, rate.

Let Amit’s age be n years
Age of his father = (4n+n) = 5n years
After 8 years:
Amit’s age = n+8
Father’s age =
3(n+8) = 5n+8
3n+24 = 5n+8
16 = 2n
n = 8 years
After further 8 years:
Amit’s age = 24 years
Father’s age = 5n+16 = 56 years
So father is 2.33 times older than Amit

A and B together can fill the tank completely in t minutes. A alone can fill it in 3t minutes.
A and B together can fill 1/t of the tank in a minute. A alone can fill 1/3t of the tank in a minute. So, in a minute, B can fill 1/t - 1/3t = 2/3t. Or, B takes 3t/2 minutes to fill an entire tank.
To fill one-third the tank, B will take t/2 minutes. B is kept open for t - 10 minutes.
t/2 = t - 10, t = 20 minutes.
A takes 60 minutes to fill the entire tank, B takes 30 minutes to fill the entire tank. A is kept open for all 20 minutes. B is kept open for 10 minutes.
C, which is kept open for 8 minutes also fills one-third the tank. Or, C alone can fill the tank in 24 minutes.

has 2 repeated eigen values 1 and 1. There is only one linearly independent eigen vector corresponding to eigen value  =1

P (7< <10) = = 0.3 

Hint p.d.f is f(x) =

θ = 50°  

force A = 200 N

  force B = 300 N

Formula: Resultant force = √A² + B² + 2 AB cos 50^o

Solution: Resultant force = √A² + B² + 2 AB cos 50⁰ = √200² + 300² + 2 x 200 x 300

= 455.12 N

f(x) = |5x - 3|


f(x) is everywhere continuous but not differentiable at the corner point

Since X is uniformly distributed over [0, 6]
Its pdf is
E(X+1) = - (x+1) f(x)dx
=(x+1)dx = 4

A =
Characteristic equation is =0
=0

=0

=

An autocollimator is an optical instrument that is used to measure small angles with very high sensitivity. As such, the autocollimator has a wide variety of applications including precision alignment, detection of angular movement, verification of angle standards, and angular monitoring over long periods.

The direct labour cost for the job is = 100 × 10 = $ 1000
The allocated factory overhead charge, at 250% of direct labour is = 1000 × 2.5 = $2500
The allocated corporate overhead charge = 1000 × 6 = $ 6000
Total cost = $ 9500

Figures are sometimes used to deceive people.

- The paragraph states that mathematics has the power to expose the truth, but it can also perpetuate misunderstandings and untruths.
- It mentions that figures have the power to mislead people, indicating that they can be used to deceive.
- This supports the idea that figures, such as statistical data or graphs, can be manipulated or presented in a way that distorts the truth or misleads people.
- Therefore, the best statement supported by the paragraph is that figures are sometimes used to deceive people (option D).

Mis run is a defect which occurs due to the low pouring temperature of the liquid metal

satisfies Laplace equation as shown below:
=(2??-2) (-2?? 2)=0
Hence, it is irrotational flow and satisfies equation of continuity

Note: Number of basic cell = m + n - 1 (Non-degenerate problem)
Number of basic cell < m + n - 1 (Degenerate problem) 6 < 3 + 5 - 1
(So, it is degenerate problem)
To obtain optimal solution, we need to convert the degenerate problem into nondegenerate
problem. So, we need to allocate E, to the least cost cell which shouldn’t form
a closed loop.

G71 – Dimensioning in metric units
G90 – Absolute dimensions
G94 – Feed rate mm/min

Isobaric process is a constant pressure process....so the pressure is given to the cylinder in the constant loading and the volume changes....then the option A is rght

Shear strength = 230/2 = 115 N/mm^2.When ductile metal bar is subjected to pure shear test, maximum permissible shear stress is 115 N/mm²

Inclined lines shows enthalpy and wbt
Horizontal lines shows specific humidity and dpt
Curved lines shows relative humidity