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Practice Test: Mechanical Engineering (ME)- 14 - Mechanical Engineering MCQ


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30 Questions MCQ Test - Practice Test: Mechanical Engineering (ME)- 14

Practice Test: Mechanical Engineering (ME)- 14 for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Practice Test: Mechanical Engineering (ME)- 14 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Practice Test: Mechanical Engineering (ME)- 14 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Practice Test: Mechanical Engineering (ME)- 14 below.
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Practice Test: Mechanical Engineering (ME)- 14 - Question 1

A person invests Rs. 1000 at 10% annual compound interest for 2 years. At the end of two years the whole amount is invested at an annual simple interest of 12% for 5 years. The total value of the investment finally is;

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 1
Compound interest for 1st 2 years and simple interest for the next 5 years.

Interest after 1 year = Rs 100 (10% of 1000)

Thus, prime amount after 1 year = RS 1100

Interest after 2 year = Rs 110 (10% of 1100)

Thus, prime amount = Rs 1210

Interest after 5years @12% simple interest on Rs 1210

= 1210 × 0.12 × 5 = Rs 726

Hence total value =1210+726 = RS 1936

Practice Test: Mechanical Engineering (ME)- 14 - Question 2

Direction: Study the information given below and answer the questions based on it.

Kiran walks 20m north, she turns right and walks 30m, then she turns right and walks 35m, then she turns left and walks 15m, then she turns left and walks 15m. She again turns left and walks 15m.

How far Kiran is from her starting point?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 2

As, she started her journey from point A then to B, C, D, then E, F and ended at G. if we observe the figure we could find that the point G (at which she reached in the end) is just at a 30 m distance.

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Practice Test: Mechanical Engineering (ME)- 14 - Question 3

Direction: Study the bar graph carefully and answer the given questions.

The bar graph shows the total number of adult male and the average number of adult female and children together in different villages from A to F in 2017.

The total number of people in a village= Total number of adult male+ Total number of adult female + Total number of children

If in village A, the ratio of the total number of the adult male to the total number of children is 5:3 and the total number of an adult female in village D is 60 more than that of the total number of an adult female in village A then find the total number of an adult female in village D?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 3

Total number of adult male in village A=500

The ratio of the total number of adult male to total number of children is 5:3.

Total number of children in village A= 500/5 × 3=300

Total number of adult female and children together in village A=720

Total number of an adult female in village A=720-300=420

Total number of adult female in village D=420+60=480

Practice Test: Mechanical Engineering (ME)- 14 - Question 4

Direction: In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select ‘No Error’.

If this be overlooked, a wrong (1)/ impression may be derived as (2)/ to the most absolute amplitudes of the changes. (3)/ No error (4)

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 4
The degree adjective ‘most’ can’t be used with absolute as absolute itself means complete or total. So remove most to make the sentence correct. Hence option C would be the correct answer.
Practice Test: Mechanical Engineering (ME)- 14 - Question 5

Which of the following is the meaning of 'Ginger up'?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 5

'Ginger up' means to get excited about something or make someone/something enliven (an activity, group, etc.)

Practice Test: Mechanical Engineering (ME)- 14 - Question 6

Alok drove his car 300m south and took right turn and moved 500m and took left turn and moved 400m and finally, he turned right and drove 600m. Now Alok’s starting point is in which direction of his final point?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 6

We know that

We can show the given data in the following figure:

From the above figure, it can be observed that Alok’s starting point is in the north-east direction of his final point.

So, the correct answer is an option (C).

Practice Test: Mechanical Engineering (ME)- 14 - Question 7

Direction: In the following question, a set of labelled sentences is given. Out of the four alternatives, select the most logical order of the sentences to form a coherent paragraph.

P) Nor do they stomp around in desperate, frenzied rage.

Q) Naturally, a chance glance at 19-year-old Trishna would in no way divulge the trauma she has experienced.

R) Appearances are deceptive for, not all victims of drug abuse look the part they rarely don the dazed, lost countenance of one in the vice-like grip of drugs.

S) Even if temporarily denied their dose of ecstasy.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 7

After reading the sentence it could be inferred that R is the initial sentence as it talks about the victims of the drug. It is a general statement which would take us to a specific subject. P should follow it because it contains ‘nor’ which always follows ‘not’ or ‘neither’. The only option which has this combination RP is option D, hence it is the correct answer.

Practice Test: Mechanical Engineering (ME)- 14 - Question 8

A bag contains 14 red and 6 white balls. Two balls are drawn at random. What is the probability that they are of the same color?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 8

Number of sample space= 20C2= 190

Number of events= 14C2 + 6C2 = 14×13/2 + 6× 5/2= 91+15= 106

Required probability= 106/190= 53/95

Number of sample space= 20C2= 190

Number of events= 14C2 + 6C2 = 14×13/2 + 6× 5/2= 91+15= 106

Required probability= 106/190= 53/95

Practice Test: Mechanical Engineering (ME)- 14 - Question 9

Direction: A sentence with two blanks is given, each blank indicating that something has been omitted. Choose the words that best fit the meaning of the sentence as a whole.

The dispute, according to observers, _________ the overall difference in opinion between developed and developing countries on whether _______ alone should be a part of the NDCs or whether adaptation and the means of implementation should also be included.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 9

Remission- cancellation

dispersed- distribute

extenuation- to lessen or to try to lessen the seriousness or extent of (something, such as a fault or offense) by making partial excuses

commended- praised

condemnation- criticism

accusation- blame

mitigation- reduction

A dispute can expressed or reflect, hence the other options cam be discarded as they are quite inappropriate in the given context. In the second blank, only 'mitigation" can contextually fit. Thus, option d is the correct answer.

Practice Test: Mechanical Engineering (ME)- 14 - Question 10

Direction: A statement with one blank is given below. Choose the set of words from the given options which can be used to fill the given blank.

The actor has seven characters ______________, and all of them are completely diverse from one another.

i. over his belt

ii. over the belt

iii. under his belt

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 10

‘Under one’s belt’ is a phrase which means safely or satisfactorily achieved, acquired. Since, the subject is a person, it should be ‘his’ not ‘the’. Hence, the correct answer is B.

Practice Test: Mechanical Engineering (ME)- 14 - Question 11

A big stone has 60% of its volume projecting above the surface of the sea. The sea water density is 1025 kg/m3. The density of stone is

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 11

v = volume of the stone

for the body to be remain in equilibrium condition, the buoyant force must be equal to the weight of the body

Submerged volume = 0.4 V

FB= 1025 x g x 0.4 V

W = ρ x g x v

Where ρ = density of the stone

ρgv = 1025 x g x 0.4 V

ρ = 410 kg/m3

Practice Test: Mechanical Engineering (ME)- 14 - Question 12

A frictionless fluid of density ρ flow through the circular pipe as shown in the figure. The force (in N) exerted on segment A – B of the pipes.


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 12
The change in momentum is zero hence the force exerted on segment A – B of the pipe is zero
*Answer can only contain numeric values
Practice Test: Mechanical Engineering (ME)- 14 - Question 13

Far a fully developed flow of water in a pipe having diameter 10cm, with velocity 0.2m/s and kinematic viscosity 10−5m2/s. the value of darcy friction factor.


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 13

Practice Test: Mechanical Engineering (ME)- 14 - Question 14

Sand acquires a predetermined shape under pressure and retains the same when pressure is removed. This is due to the property of sand known as:

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 14
Refractoriness is the property related with temperature.

Cohesiveness is force of attraction between similar molecules of sand.

Adhesiveness is sticking property of sand with the wall.

Plasticity is the property due to which Sand acquires a predetermined shape under pressure.

Practice Test: Mechanical Engineering (ME)- 14 - Question 15

The modulus of elasticity of Aluminum is 69 GPa, if material is loaded with tensile stress, find the Yield Stress.


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 15
The Stress- Strain curve of Aluminium in tensile is

Now, we have to find strain by "Offset methad"

i.e ε = 0.2%

ε = 0.002

σy = 69 × 103 × 0.002

σy = 138MPa

*Answer can only contain numeric values
Practice Test: Mechanical Engineering (ME)- 14 - Question 16

For the given figure, calculate the bending moment (in kN-m) at 4m from the right end.


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 16

RA + RF = 7 kN

RA = 2.458 kN

(BM)c = RA x 4 – 2x2 [4m from right end]

(BM)c = 2.458x4 -4 = 5.833kN-m

Practice Test: Mechanical Engineering (ME)- 14 - Question 17

Following is the incomplete final table of simplex procedure:

From this one can conclude that the

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 17

Since, there is no zero in objective function equation corresponding to non basic variable (x1). So, this is an unique optimum solution = 1000

Practice Test: Mechanical Engineering (ME)- 14 - Question 18

Which among the following rotary compressor has high compression ratios as compared to reciprocating compressors?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 18
Screw compressors works with two intermeshing screws known as rotors which revolves making the fluid to draw in inlet port that fills in between lobes with fluid or suction ceases. When the fluid between lobes is forced due to rotation in increasingly small space causes compression. Such compressors need ample lubrication due to meshing of rotors which gets subsequent cooling using special heat exchanger which lead to high compression ratios as compared to reciprocating compressors.
Practice Test: Mechanical Engineering (ME)- 14 - Question 19

Find the volume percentage of H2O when Methane is burned in an 50% oxygen rich atmosphere with respect to stoichiometric requirement.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 19
Given data: oxygen supply is 50% rich.

Chemical reaction for perfect combustion is given by

CH4+2O2=2H2O+CO2

Now, Chemical reaction after 10% rich oxygen is supplied as

compared to perfect combustion is given by

CH4+3O2=2H2O+CO2+O2

volume percentage of H2O in the product =2/2+1+1

=0.50=50%

Practice Test: Mechanical Engineering (ME)- 14 - Question 20

Which assumptions are incorrect in column theory?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 20
Column buckling consists of finding maximum load on column which support before it collapses.

Assumption used are:-

1) The column is initially straight and the applied load is truely axial.

2) The material of column is homogeneous, linear and isotropic.

3) The cross-section of the column is uniform throughout.

4) The length of the column is large as compared to the cross-sectional dimensions of the column.

Practice Test: Mechanical Engineering (ME)- 14 - Question 21

In an axial flow compressor, when the degree of reaction is 50%, it implies that

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 21
For 50% reaction turbine,

α22 and β1= α2

Hence blading design on this basis is called symmetrical blading.

Practice Test: Mechanical Engineering (ME)- 14 - Question 22

A 9m thick steel bar is to be horizontally cast with two correctly top riser of adequate feeding capacity. Assuming end effect without chill what should be the theoretical length to the bar

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 22
In case of minimum thickness and maximum surface area, no. of risers are provided according to surface area, to uniform feeding of liquid metal. Here two risers are used, without end wall effect gradient, so here standard convention has been used to calculate theoretical length.

For end effect without chills (two risers)

(2t + 4t+ 2t)

L = 2t + 4t+ 2t = 8t (for two riser)

L = 8t

L = 72m

*Answer can only contain numeric values
Practice Test: Mechanical Engineering (ME)- 14 - Question 23

A sine bar has a length of 200mm. Each roller has a radius of 15mm. During taper angle measurement, the height from the surface plate to the stacked slip gauges is 150mm. The taper angle in degree is_________.


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 23

L = 200m

Sin ∝ = (150 + 15)/200

∝ = 55.580

Practice Test: Mechanical Engineering (ME)- 14 - Question 24

Maximum number of phase possible in a binary phase diagram is?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 24
P+F = C+1 So, P=C+1-F

We know that degree of freedom (F) cannot be negative. So, minimum value of F is zero So, P=C+1 and for binary system C=2 so, P=3

Practice Test: Mechanical Engineering (ME)- 14 - Question 25

A pressure-crank angle diagram for the SI engine is shown, which is showing different stages of combustion.

The stage BC is

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 25

AB→ ignition Lag

BC→ Propagation of flame

CD→ After burning

In propagation of flame stage, the flame propagates practically at

constant velocity.

Practice Test: Mechanical Engineering (ME)- 14 - Question 26

For a crank and slotted lever mechanism the length of the slotted bar is 750 mm and the length of the fixed link is 250 mm while the radius of the crank is 100mm. The quick return ratio of the mechanism is 2.5 and there is no slip of the ram while it is following translation. Find the stroke length in mm?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 26
For a crank and slotted lever mechanism

=600 mm

Practice Test: Mechanical Engineering (ME)- 14 - Question 27

A 30 mm diameter shaft is driven at 12 Hz by a motor delivering 25 kW of power. The maximum shear stress in the shaft is?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 27

d = 30 mm, f = =12 Hz, P = 25 kW

∴ T = 331.57 Nm

62.5439 N/mm2 ,

= 62.5439 MPa

Practice Test: Mechanical Engineering (ME)- 14 - Question 28

If A = then the sum of eigen values of A3 is__________.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 28

⇒ λ = 3, 9

Using the property that if λ123...........λn are the Eigen values of a matrix A then λ1 n, λn2, λ3n.............λnn are the Eigen values of An .

Hence, the Eigen values of A3 are 33 and 93

∴Sum of Eigen values = 33+93=756

Practice Test: Mechanical Engineering (ME)- 14 - Question 29

A rigid link PQ is 2m long and oriented at 200 to the horizontal as shown in the figure. The magnitude and direction of velocity VQ, and the direction of velocity VP are given. The magnitude of VP in (m/s) at this instant is.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 29

Now using lami’s theorem on triangle IPQ-

∴ x1 = 2. 563 m

and,

x2 = 2. 6578

∴ for instantaneous centre I,

∴ Vp = 0.96 m/s

Practice Test: Mechanical Engineering (ME)- 14 - Question 30

A pulley of radius 500 mm is keyed to 25 mm radius of shaft by a 14 mm square key of length 150 mm. The tension in the tight side of the belt is 5000 N and tension ratio is 2 : 1. If ultimate shear strength is 250 MPa, then what will be the factor of safety in shear for key?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 14 - Question 30
Given,

T1 = 5000N

torque T = (T1 − T2) × rp = (5000 − 2500) × 0. 5

=1250 Nm

T = F × rs = lbr × rs

1250 = 0. 15 × 0. 014 × ζ × 0. 025

⇒ ζ = 023809523 Pa = 23 MPa

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