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Practice Test: Mechanical Engineering (ME)- 12 - Mechanical Engineering MCQ


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30 Questions MCQ Test - Practice Test: Mechanical Engineering (ME)- 12

Practice Test: Mechanical Engineering (ME)- 12 for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Practice Test: Mechanical Engineering (ME)- 12 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Practice Test: Mechanical Engineering (ME)- 12 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)- 12 below.
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Practice Test: Mechanical Engineering (ME)- 12 - Question 1

Mr. Rammurthy starts a business investing 250000 in year 1998. In year 1999 he invested an additional amount of 100000 and Mr. Siddharth Rau joined him with an amount of 350000. In year 2000. Mr. Rammurthy invested another additional amount of 100000 and Mr. Rajan Babu joined them with an amount of 350000. What will be Siddharth Rai’s share in the profit of 1500000 earned at the end of three years from the start of the business in 19988?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 1
Rammurthy’s investments for 3 yr

= (250000 × 3 + 100000 × 2 + 100000 × 1)

=1005000

Siddharth’s investment for 3 yr

= 350000 × 2 =700000

Ranhan’s investment for 3 yr

=350000 × 1 = 350000

Ratio = 1005000:700000:350000

= 3 :2 :1

Siddhartha’s profit

Practice Test: Mechanical Engineering (ME)- 12 - Question 2

What is the difference between the compound interest and simple interest on Rs. 4000 at 5% per annum for 2 years?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 2
Difference = Principal (r/100)2

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Practice Test: Mechanical Engineering (ME)- 12 - Question 3

In the following question, out of the five alternatives, select the word similar in meaning to the given word.

Sedition

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 3
Sedition (n.): conduct or speech inciting people to rebel against the authority of a state or monarch.

Allegiance (n.): loyalty or commitment to a superior or to a group or cause.

Homage (n.): special honour or respect shown publicly.

Adulation (n.): excessive admiration or praise.

Allaying (v.): diminish or put at rest (fear, suspicion, or worry).

Insurrection (n.): a violent uprising against an authority or government.

So, the correct answer is option D.

Practice Test: Mechanical Engineering (ME)- 12 - Question 4

Two pipes A and B can fill a tank in 36 min and 45 min respectively. A waste pipe C can empty the tank in 30 min. If all the pipes are opened together then the tank will be full in how much time?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 4
Part filled by pipe A in 1 min = 1/36

Part filled by pipe B in 1 min = 1/45

∴ Total water dropped in the tank in 1 min = 1/36 + 1/45

Water leaked out in 1 min by C = 1/30

∴ Total tank filled in 1 min

Hence, the tank will be filled in 60 min.

Practice Test: Mechanical Engineering (ME)- 12 - Question 5

Direction: In each question, a sentence with four words printed in bold are given. These are numbered as (1), (2), and (3). One of these four words printed in bold may be either wrongly spelt or inappropriate in the context of the sentence. Find out the word, if any, which is wrongly spelt or inappropriate. The number of that word is the answer. If all the words printed in bold are correctly spelt and appropriate in the context of the sentence, mark (4), i.e., 'All correct' as the answer.

No incidence of violence (1)/ occurred during the protests (2)/ against the Government’s (3)/ All correct (4)

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 5
Replace ‘No incidence of violence’ by ‘No incident of violence’, which means no serious event, such as a crime or an attack. Hence option A is correct.
Practice Test: Mechanical Engineering (ME)- 12 - Question 6

In the following question, select the related word pair from the given alternatives.

? : Sun :: Rain : ?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 6

Here the related word pairs are- (Light, Cloud)

Sun gives us light in same way Cloud gives us rain (so, Light : Sun :: Rain : Cloud).

Hence, option (B) is the correct response.

Practice Test: Mechanical Engineering (ME)- 12 - Question 7

72% of the students of a certain class took Biology and 44% took Mathematics. If each student took at least one of Biology or Mathematics and 40 students took both of these subjects, the total number of students in the class is?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 7

Percentage of students opting for both subjects

= 72 + 44 - 100 = 16%

If the total number of students be x, then

x = 4000/16 = 250

Practice Test: Mechanical Engineering (ME)- 12 - Question 8

Study the following paragraph and answer the given questions.

Fashion has become one of the largest fads among the youth. The amount of time wastage and expenditure on fashion is very large. What bothes however is the fact that fashion is here to stay despite countless arguments against it. What is required therefore is that strong efforts should be made in order to displace excessive craze of fashion from the minds of today's youth.

Which of the following statements finds least support by the argument made by the author in the given paragraph?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 8

Fashion usually is neither named nor noted but is simply the lens through which our society perceives itself and the mold to which it increasingly shapes itself. This hidden, powerful, mental sort of fashion is thus worth taking stock of. In spite of its great parade of intellect, its support in influential places, and its mellifluous accompaniment of self-promoting public relations, the new variety of fashion pretty much shares the creed and the limitations of the frivolous, pirouetting old variety of fashion—that of dress.

Option C is correct.

Practice Test: Mechanical Engineering (ME)- 12 - Question 9

Direction: Find out the number of students who play only cricket.

Note : Total number of students - (25 +22) = 47

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 9

The number of students who play only cricket

= 25 - 16 = 9

Practice Test: Mechanical Engineering (ME)- 12 - Question 10

If the uncle of the father of Rani is the grandson of the father of Anup and Anup is the only son of his father, then what is the relation of Anup with Rani?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 10

There are 3 lines (1 line for each generation) between Anup and Rani, So this is clear that Anup is the great grandfather of Rani.

Practice Test: Mechanical Engineering (ME)- 12 - Question 11

A copper rod 400mm long is pulled in tension to a length of 401.2 mm by applying a tensile stress of 330 MPa. Then Young’s modulus of copper is


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 11
given,

Lf = 401.2mm, Li = 400mm

σ = 330MPa

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

Find optimum order quantity where annual demand is 400 and ordering cost is 250 per order Carrying cost per unit 2%.


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 12

Which is in Range, this is order quantity.

Practice Test: Mechanical Engineering (ME)- 12 - Question 13

Consider the following statements:

P: Casting yield is kept minimum while designing a gating system.

Q: Gating ratio of 4:1:1 corresponds to a pressurised gating system.

R: Possibility of air aspiration effect is more in unpressurised gating system

S: Pressurised gating system can only be used for non ferrous castings

Which of above statements are correct?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 13
Casting yield is kept as high as possible

Pressurised gating system is used for ferrous castings

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

The general solution of the differential equation with C1 and C2 as constants are:

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 14
m2 - 4m + 4 = 0

m = 2, 2

Complementary function = (C1 + C2x)e2x

Particular Integral

Put D = 2 (case fails)

(case fails)

General solution = C.F+P.I

Practice Test: Mechanical Engineering (ME)- 12 - Question 15

A square bar with tapered length having circular cross section area having diameter 10 cm and 20 cm at two ends and length of the bar is 80 cm is subjected to a tensile force of 50 KN. If the bar is made up of steel having modulus of elasticity 200GPa, Find the elongation of the tapered bar (in mm) _______.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 15
Given,

P = 50 kN,

L = 80cm,

D1 = 10cm

D2 = 20 cm

Elongation of tapered bar is given as

Practice Test: Mechanical Engineering (ME)- 12 - Question 16

A stone is dropped from a balloon going up with a uniform velocity of 10 m/s. if the balloon was 40 m high when the stone was dropped, the height of balloon from the ground when the stone hits the ground is (take g = 10 m/s2)

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 16
The stone was going up with 10m/s velocity and after that it falls freely under gravity.

Considering vertically downward as +ve and upward -ve.

S = ut+1/2gt2

S = 40m

u = −10m/s

40 = − 10t + 1/2 × 10 × t2

t2 − 2t − 8 = 0

t2 − 4t + 2t − 8 = 0

t = −2 (no significance in this problem)

t = 4s

Distance covered by balloon in 4 s in upward direction

= 10t = 40m

Total height of balloon = 40 + 40 = 80m

Practice Test: Mechanical Engineering (ME)- 12 - Question 17

A banner hoarding having dimensions 2m × 2m is kept vertical by a 5m long pillar. Air blowing at 5 m/s is striking directly to the banner. If the maximum moment the pillar can withstand is 100 Nm. To reduce the drag force holes need to be cut out from the hoarding with a punch of 10 cm diameter. If the air drag coefficient is 0.5, then the total number of holes need to be cut out are

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 17
Bending moment at the bottom of the pillar.

M= F × (5 + 1)

⇒ F= 100/6 = 16.67

That much amount of force can be applied by air, hence it should be equal to drag force,

F= 1/2 CDρAV2

16.67=1/2 (0.5)(1.2) × A × (5)2

A = 2.223 M2

The excess area need to cut from the hoarding

Area of hoarding – A

= 2 × 2 – 2.223

= 1.777 m2

Number of holds need to cut,

Practice Test: Mechanical Engineering (ME)- 12 - Question 18

An double slider chain mechanism with the slotted link of length 5 units FIXED. A point on the link traces a curve which has a slope dy/dx = -2√3 eat the point (√3/2,1). Find the equation of the curve.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 18
We know in this elliptical trammel, a point on the link will have a locus of ellipse

x2/a2 + y2/b2 = 1

Since the point (√3/2,1) lies on a curve, substituting in the above equation we get

(3/4a2) + (1/b2) = 1

Again differentiating we get 2x/a2 + 2y/b2dy/dx = 0

Putting point (x, y) = (√3/2,1) and dy/dx = -2√3

We get b2 = 4a2

Solving both we get a = 1,b = 2

The curve traced by a point on the link is 4x2 + y2 = 4

Practice Test: Mechanical Engineering (ME)- 12 - Question 19

A slender bar of 100 mm2 cross-section is subjected to loading as shown in the figure. If the modulus of elasticity is taken as 200 × 109 Pa, then the elongation produced in the bar will be ____ mm.


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 19
Elongation of the bar

= 0

Practice Test: Mechanical Engineering (ME)- 12 - Question 20

The resultant of two vectors when acting at right angles is 10kN. If they act at 600 their resultant is 5√6 kN. Find the magnitude of individual vectors.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 20
Resultant of two vectors is

Practice Test: Mechanical Engineering (ME)- 12 - Question 21

Two coins are tossed once, where E :no tail appears, F : no head appears. Find P(E/F).


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 21
Here, E: = no tail appears' and F: 'no head appears'

i.e., E = {H H} and F = {T T}

⇒ E ∩ F = { } = ϕ

Hence, P (E ∩ F) = 0 and P(F) = 1/4

Practice Test: Mechanical Engineering (ME)- 12 - Question 22

For a beam simply supported at ends, carrying UDL, the ratio of maximum principal stress at extreme fibre to maximum principal stress at neutral axis is___. The beam is square and length is 10 times the side of square.


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 22

Maximum stress on extreme fibre will be on point of maximum bending stress.

Max principal stress at N.A = τmaxNA

At point of maximum

Practice Test: Mechanical Engineering (ME)- 12 - Question 23

A body is said to be provided optimum amount of streamlining when ______.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 23
A streamlined body is a shape that lowers the friction drag between a fluid, like air and water, and an object moving through that fluid.
Practice Test: Mechanical Engineering (ME)- 12 - Question 24

At a production machine, parts arrive according to a Poisson process at the rate of 0.35 parts per minute. Processing time for parts have exponential distribution with mean of 2 min. What is the probability that a random part arrival finds that there are already 8 parts in the system (in machine + in queue)?


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 24
Given that

λ = 0.35 per minute

µ = 1 /2 = 0.5 per minute

Hence,

ρ = λ/ µ = 0.7

The probability that a random part arrival finds that there are already 8 parts in the system is Pn = ρn (1−ρ) = 0.78 (1−0.7) = 0.01729

Practice Test: Mechanical Engineering (ME)- 12 - Question 25

A Circular beam, 50 mm in diameter, is welded to the support by means of circumferential fillet weld as shown in the diagram. It is subjected to a eccentric load of 20kN at a distance of 100mm parallel to support and at distance of 200mm away from the support. Thickness of the weld is 10mm. Find Maximum principal stress at weld on X-X plane.


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 25

Primary shear will act upward

Secondary shear will act anti-clockwise so right side of the section equivalent shear will be the summation of primary and secondary shear.

The polar moment of Inertia of circular beam

As at X-X plane, there will not be any bending stress

So max principal stress = T1 + T2 = 63.66 MPa

Practice Test: Mechanical Engineering (ME)- 12 - Question 26

The turbine rotor of a ship has a mass of 5000 kg and its radius of gyration is 500 mm. The turbine rotor rotates at 1500 rpm in counter-clockwise direction (view from stern or rear end). If the ship travels at a speed of 90 km/h and steer to the left in a curve of 100 m then the gyroscopic couple on the ship and its effect respectively are

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 26
Given, m = 5000kg,k = 0.5m,N = 1500rpm, V = 90

km/h = 25m/s,R = 100m

The gyroscopic couple, C = IωωP

I = mk2 = 5000 × 0.52 = 1250kg − m2

ωp = ∨/R = 25/100 = 0.25m/s

C = 1250 × 157.08 × 0.25 = 49087.5N − m = 49.0875

kN−m

As rotor rotates in anticlockwise direction, when view from rear end and steering is towards left, so, the effect of gyroscopic couple will be to lower the bow and raise the stern end.

Practice Test: Mechanical Engineering (ME)- 12 - Question 27

Consider following statements:

I) A gas is said to be an ideal gas when intermolecular forces are zero.

II) A gas behaves as an ideal gas under high temperature and high pressure.

III For an ideal gas, the temperature variation w. r. t. pressure during throttling condition is zero.

IV) A gas cools during expansion only when the Joule Thomson coefficient is negative.

Which of the following statements is/are correct?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 27
A gas behaves as an ideal gas under high temperature and low pressure and a gas cools during expansion only when the Joule Thomson coefficient is positive. If negative then upon expansion it heats (refer inversion curve).

Practice Test: Mechanical Engineering (ME)- 12 - Question 28

Two castings of the same metal have the same surface area. One castings is in the form of a sphere and the other is a cube. What is the ratio of the solidification time for the sphere to that of the cube?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 28
As surface area are equal 4πr2 = 6a2

Practice Test: Mechanical Engineering (ME)- 12 - Question 29

The uniform rod in figure weighs 400 N, length of the rod is 12 m

Determine the angle ɵ in degrees.


Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 29
From the figure-

Fram 1 & 2

cos3 θ = 2/3

θ = 29.12

Practice Test: Mechanical Engineering (ME)- 12 - Question 30

The system of equations x - 4y + 7z = 12 , 3x + 8y - 2z = 10, 26 z - 8y = 6

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 12 - Question 30

Here, Rank [A:B] = Rank⁡[A] = 3 = n

And n = 3

Therefore, the system has unique solution.

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