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Practice Test: Mechanical Engineering (ME)- 2 - Mechanical Engineering MCQ


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30 Questions MCQ Test GATE Mechanical (ME) Mock Test Series 2025 - Practice Test: Mechanical Engineering (ME)- 2

Practice Test: Mechanical Engineering (ME)- 2 for Mechanical Engineering 2024 is part of GATE Mechanical (ME) Mock Test Series 2025 preparation. The Practice Test: Mechanical Engineering (ME)- 2 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Practice Test: Mechanical Engineering (ME)- 2 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)- 2 below.
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Practice Test: Mechanical Engineering (ME)- 2 - Question 1

There are two lines made by joining points A, B,C. B lies between the line joining A and C. Is the distance between the A and C passes through the B more then 7 Km.

(i) The distance between A and B is 6 Km

(ii) Distance between B to C is 2 Km long,

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 1

From Statement I

We know the distance between Points B and C but we do not know about the distance between A and B

Statement II

This statement tells us about the distance between A and B and by using Both statement we can calculate the distance between A and C that is longer than the 2 Km.

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

Direction: In the given question, a word/phrase is given followed by three statements; I, II and III. Choose the pair of sentences which can be combined using the given word/ phrase when used at the beginning of the new sentence.

And

I: When Lionel Messi, Ronaldo and Neymar kick and dribble the football, they don’t remain confined to Argentina, Portugal or Brazil, respectively.

II: Let the entire world realise that through sports, especially football, we all can cement our bonds, wash away our bitterness and prejudices.

III: Live with a greater sense of closeness and joy with each other.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 2
‘And’ is used as a conjunction here which is used to introduce an additional comment or interjection.

Here sentences II and III are displaying same sense that is realizing the benefit of football in our lives whereas sentence I is providing entirely different aspect of football as a sport.

Hence option (B) will be the most appropriate choice.

New sentence: Let the entire world realise that through sports, especially football, we all can cement our bonds, wash away our bitterness and prejudices, and live with a greater sense of closeness and joy with each other.

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Practice Test: Mechanical Engineering (ME)- 2 - Question 3

Which of the following is the MOST SIMILAR in meaning to Accreditation?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 3
Accreditation = an acknowledgement of a person's responsibility for or achievement of something.

Certification = an official document attesting to a status or level of achievement.

Meticulous = showing great attention to detail; very careful and precise.

Lurid = very vividly shocking.

Suppressive = tending or acting to suppress.

Agreement = harmony or accordance in opinion or feeling.

Practice Test: Mechanical Engineering (ME)- 2 - Question 4

In how many ways can you place 2 white bishops on an empty chess board?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 4
One white bishop can be placed on any of the 32 white boxes and the other white bishop can be placed on any of the 32 black boxes.

Ways of doing that = 32C1 × 32C1

= 32 × 32 = 1024

Practice Test: Mechanical Engineering (ME)- 2 - Question 5

Direction: In the question below are given statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statement:

No physics is maths.

Some chemistry is maths.

All sciences are chemistry.

Conclusion:

I. No science is physics.

II. Some physics are science.

III. Some physics are chemistry.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 5
The least possible Venn diagram for the given statements is as follows.

Conclusions:

I. No science is physics → False (It is possible but not definite).

II. Some physics are science → False (It is possible but not definite)

III. Some physics are chemistry → False (It is possible but not definite)

Conclusion I and II form complementary pair.

Hence, either conclusion I or II follows.

Practice Test: Mechanical Engineering (ME)- 2 - Question 6

Direction: Read the information carefully and give the answer of the following questions-

(This pie chart shows the percentage of students appear in six different exams in 2016)

(This bar graph shows the percentage of failed students which appear in these six different exams in 2016)

If in 2016, total number of failed students in exam F was 4080, then how many passed students appears in the exam B?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 6

14280 ( Let total number of students be = 100z.

Total number of students appears in exam F = 16% of 100z = 16z;

Total number of failed students in exam F = 30% of 16z = 4.8z = 4080;

=> z = 850;

Total number of passed students appears in the exam B = (100 – 30)% of 24% of 100z = 16.8z

= 16.8 × 850 = 14280 ;)

Practice Test: Mechanical Engineering (ME)- 2 - Question 7

Direction: Two sentences with two blanks in each, followed by five alternatives with two words in each, are given. Choose that option as the answer which can fill both the blanks of both the sentences.

i. A sinking feeling of panic ________ over them and a temporary paralyzing fear engulfed them ________.

ii. Being a cleanliness freak, she ________ the floor and went down to the market only after the house was _________ clean.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 7
‘Sweep’ is to clean (an area) by brushing away dirt or litter. It fits the first blank of the second sentence, as the subject is cleaning the floor. Further, ‘sweep over’ means to overcome or overwhelm, thus fits in the first blank of the first sentence. The second blank of both the sentences can be filled by "completely", thus conveying an appropriate sense. Thus, option D is the correct answer.
Practice Test: Mechanical Engineering (ME)- 2 - Question 8

In the following question, some statements followed by some conclusions are given. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows the given statements.

Statement:

Tension is detrimental to physical and mental health.

Conclusions:

I. To be healthy one should be free from tension.

II. Mental health depends upon the tension one experiences.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 8
Conclusion I. To be healthy one should be free from tension. (Follows as both physical and mental health are affected from tension.)

Conclusion II. Mental health depends upon the tension one experiences. (Follows).

Hence, option B is correct.

Practice Test: Mechanical Engineering (ME)- 2 - Question 9

4 identical solid spheres are melted and reformed into a solid hemisphere. Then, the ratio of the curved surface area of the hemisphere to half of the surface area of a single sphere is -

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 9
Let radius of sphere be ‘r’ and radius of hemisphere be ‘R’.

Then, ATQ, Volume of Spheres = Volume of Hemisphere

4 x (4/3)πr3 = (2/3)πR3

Or, R / r = (8)1/3 = 2 …(1)

C.S.A of hemisphere = 2πR2

And, Surface area of sphere = 4πr2

ATQ, 2πR2 :( ½) of 4πr2

= 2πR2 :2πr2 = R2 :r2 {using (1)} ×

= 4 :1

Practice Test: Mechanical Engineering (ME)- 2 - Question 10

A study of people who reduced the calories they consumed has found the strongest evidence yet that such restrictions slow down metabolism, raising hopes that a low calories lifestyle or treatments stimulating biological effects of restricted eating, could prolong health in old age. The report provides the most robust evidence to date that everything we have learnt in other animals can be applied to humans.

Which of the following argument will prove that the above conclusion is flawed?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 10
The given passage gives the benefits of reducing calories to attain a healthier lifestyle and out of the given options, option B seems to give a contradictory fact stating that the lack of required calories may cause problems to the body. Hence, option B is correct.
Practice Test: Mechanical Engineering (ME)- 2 - Question 11

If two gears have moment of inertia as I1 and I2 respectively and mesh with a speed ratio ω21 = n then equivalent moment of inertia of both gears referred to first one is?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 11
between shaft 1 and shaft 2 the kinetic energy will be same

So equivalent moment of inertia w.r.t to first one = I1 + n2I2

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

A solid body formed by joining the base of a right circular cone of height equals to 150mm to the equal base of a right circular cylinder of height h = 45mm. Calculate the distance of the centre of mass of the solid from its plane face?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 12
As the body is symmetrical about the vertical axis, therefore its centre of gravity will lie on this axis as shown in Fig. Let r be the radius of the cylinder base in cm. Now let base of the cylinder be the axis of reference.

(i). Cylinder

We know that distance between centre of gravity of the section and base of the cylinder

= 54.08 mm

Practice Test: Mechanical Engineering (ME)- 2 - Question 13

Two steel sheet of 1 mm thick are resistance welded in a lap joint with a current of 10000 A for 0.1 sec. The effective resistance of joint can be taken as 100μΩ. The joint can be considered as cylinder φ5 of mm and 1.5 mm height. Ρsteel = 0.00786 g/mm3. The heat lost surroundings if the heat required to melt steel is 10 J/mm3 is?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 13

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

A plate 1 mm distance from a fixed plate, is moving at 500 mm/s by a force induces a shear stress of 0.3 kg(f)/m2. The kinematic viscosity of the fluid (mass density 1000 kg/m3) flowing between two plates (in Stokes) is?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 14
Given, y = 0.001 m, v = 0.5 m/s,

Using Newton’ law of viscosity,

Practice Test: Mechanical Engineering (ME)- 2 - Question 15

For a circular shaft of diameter d subjected to torque T, the maximum value of the shear stress is?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 15

Practice Test: Mechanical Engineering (ME)- 2 - Question 16

Figure shows the cross-section of a cast iron beam. Determine the moments of inertia of the section about horizontal axis passing through the centroid of the section.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 16
Given fig. is symmetrical about X axis and Y axis therefore its center of gravity will lie at the center of the rectangle.

Moment of inertia of the rectangular section about its horizontal axis passing through its centre of gravity, = bd3/12 = 120 x (130/2) = 21.97mm4 and moment of inertia of the circular section about a horizontal axis passing through its centre of gravity,

Moment of inertia of the whole section about horizontal axis passing through the centroid of the section,

IXX = (21.97 × 106) – (2.010 × 106) = 19.97 × 106 mm4

Practice Test: Mechanical Engineering (ME)- 2 - Question 17

A liquid with specific gravity of 0.94 undergoes a reduction in volume of 0.22% when subjected to an increase in pressure of 1400kPa. The velocity of propagation of sound in this liquid will be ___________m/s

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 17

Practice Test: Mechanical Engineering (ME)- 2 - Question 18

Heat flows through a composite slab as shown below, The depth of the slab is 10 cm. The k values are in W/m-K. The heat flow rate through the composite wall in W is?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 18

Equivalent resistance between B and C-

Practice Test: Mechanical Engineering (ME)- 2 - Question 19

A matrix has eigen values of ‒ 1 and ‒ 2 respectively. The corresponding eigen vectors are respectively. The matrix is?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 19

a -b = -1....(i)

c - d = 1.....(ii)

⇒ a - 2b = -2...(iii)

c - 2d = 4.....(iV)

From equation (i) and (iii), a = 0 and b = 1

From equation (ii) and (iv), c = - 2 and d = - 3

Practice Test: Mechanical Engineering (ME)- 2 - Question 20

The turing moment diagram for engine is shown below.If the rotating parts have mass =50 kg, radius of gyration as 2.1 m and the fluctuation of speed is limited to 1.50% of mean speed on either side, find area A1 shaded as shown in figure[A1=A2=A3=A4].Angular speed is 50 rad/s.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 20
we know,

emax=I ks ωavg2

I = m k2

I = 220.5×kgm2

emax = 220.5×ks×502 = 551250×Ks

Ks=1.5 % + 1.5% = 3%= 0.03

emax=551250×0.03

emax =16537.5 Nm/s

∴ A1=A2=A3=A4=16537.5 Nm/s

Practice Test: Mechanical Engineering (ME)- 2 - Question 21

Newton-Raphson method is used to find the roots of the equation. x3+2x2+3x-1 =0If the initial guess is x0 = 1, then the value of x after 2nd iteration is _____?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 21
x3+2x2+3x-1 =0

x0 = 1

As per Newton-Raphson Method

Similarly

Practice Test: Mechanical Engineering (ME)- 2 - Question 22

A thin cylinder of internal diameter 60 mm and wall thickness 2mm is subjected to an internal pressure of 1.25 N/mm2. The cylinder is also subjected to a torque of 60 Nm, the axis of the torque coinciding with that of the cylinder. The minor principal stress is MPa.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 22

Practice Test: Mechanical Engineering (ME)- 2 - Question 23

For the mechanism shown below Find the ratio of angular velocities of the link 2 and link 4.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 23
As shown in the above figure the link 2 and link 4 are perpendicular to link 1 so the coupler will go on translational motion as IC23 will on positive infinity.

Under such case the velocity end link 2 = velocity of end link 4

Practice Test: Mechanical Engineering (ME)- 2 - Question 24

Consider the following linear programming problem:

Maximize Z =2A+3B, Subject to A+B ≤10, 4A+6B≤30, 2A+B≤17, A,B≥0

What can one say about the solution?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 24
Z = 2A + 3B

Maximum value of objective functions = 15 and it has alternative optimal solutions because of same constraint as objective function.

Practice Test: Mechanical Engineering (ME)- 2 - Question 25

For the differential equation dy/dx + ay = 0 with y(0) = 1, solution is?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 25

Taking integration on both sides, we get

or ln y = -ax+c

or y = 1, x = 0 follow initial condition.

ln 1 = -ax 0+c

∴ C = ln 1 = 0

So, ln y = -ax+C

ln y = -ax +0

∴y = e-at .

Practice Test: Mechanical Engineering (ME)- 2 - Question 26

A bullet of weight 1.4g enters a wooden partition block at a velocity of 955 m/s and 0.003s after entering the block. Determine the length penetration of bullet.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 26

Practice Test: Mechanical Engineering (ME)- 2 - Question 27

In a JIT system, demand for a particular product is 2000 units. The safe stock is 15% of authorised inventory. The product spends 0.06 day in handling and 0.04 in processing. How many containers are to be authorised if 1 can contains 10 parts.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 27
Demand during lead time = 2000 × (0.06 + 0.04) = 200

Safety stock = 0.15 × 200 = 30

No. of containers = (200+30)/10 = 23

Practice Test: Mechanical Engineering (ME)- 2 - Question 28

A steel tube having inner radius 1 cm and outer radius 2.5 cm is covered with asbestos of thickness 3cm. the temperature difference between the outer surface of asbestos and inner surface of steel is 600°C. Ksteel=19w/m2k and Kasbestos= 0.2 w/m2k. Calculate the heat transfer rate per unit length of the pipe in W/m

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 28
r1= 1 cm, r2= 2.5 cm, r3= 2.5+3 = 5.5 cm

Heat transfer rate q is given as

= 944.7 W/m

Practice Test: Mechanical Engineering (ME)- 2 - Question 29

The sales of car in a showroom in first, second and third months are 70, 68 and 82 respectively. With the smoothing constant of 0.4, Find the forecast for the next month.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 29
Ft = Ft-1+ α (Dt-1 - Ft-1)

D1 = 70, D2=68, D3= 82 (given)

Note:- If initial forecasting is not given. you can assume it equal to the demand of that month.

Therefore, F1=70

Now according to formula given above,

F2= F1+α(D1-F1)= 70+0.4(70-70)= 70

F3= F2+α(D2-F2)= 70+0.4(68-70)= 69.2

Therefore, F4= F3+α(D3-F3)= 69.2+0.4(82-69.2)= 74.32

Practice Test: Mechanical Engineering (ME)- 2 - Question 30

Square root of ratio of load required to buckle a column fixed on both ends to a column fixed on one end, free at other end is _____. The geometric length of both columns is same.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 2 - Question 30

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