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Mechanical Engineering Exam  >  Mechanical Engineering Tests  >  GATE Mock Test Mechanical Engineering (ME) - 10 - Mechanical Engineering MCQ

GATE Mock Test Mechanical Engineering (ME) - 10 - Mechanical Engineering MCQ


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30 Questions MCQ Test - GATE Mock Test Mechanical Engineering (ME) - 10

GATE Mock Test Mechanical Engineering (ME) - 10 for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The GATE Mock Test Mechanical Engineering (ME) - 10 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The GATE Mock Test Mechanical Engineering (ME) - 10 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for GATE Mock Test Mechanical Engineering (ME) - 10 below.
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GATE Mock Test Mechanical Engineering (ME) - 10 - Question 1
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Fill in the blank with the correct word.

Since she believed him to be both candid and trustworthy, she refused to consider the possibility that his statement had been

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 1
Because of the use of the conjunction 'since', meaning 'because', the second part of the sentence should corroborate what is stated in the first part. If she had believed that the person was candid (meaning frank) and trustworthy. She would obviously not have considered him to be insincere.
GATE Mock Test Mechanical Engineering (ME) - 10 - Question 2
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There are 60 students in a class. The students are divided into three groups A, B and C of 15, 20 and 25 students, respectively. The groups A and C are combined to form group D. What is the average weight of the students in group D?

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 2
There is no indication of weights of the students in the question. Therefore, it is not possible to find the relation between the weights of students in groups A, B, C, and D.
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GATE Mock Test Mechanical Engineering (ME) - 10 - Question 3
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In a press meet on the recent scam, the minister said, "The buck stops here". What did the minister convey by the statement?

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 3
If you say 'The buck stops here' or 'the buck stops with me' you mean that you have to take responsibility for something and will not try to pass the responsibility onto someone else. Therefore the right option is 'C'. He will assume final responsibility.
GATE Mock Test Mechanical Engineering (ME) - 10 - Question 4
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Directions: In the following question, choose the answer figure which will complete the pattern in the question figure.
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 4

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 5
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If 'DISTEMPER' is coded as 54.5 and 'WALLS' as 33.5 how will you code 'PLASTER' using the same coding scheme?
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 5
Clearly, in the given code, A =1, B = 2, C = 3

DISTEMPER =4+9+19+20+5+13+16+5+18 = 109/2T= 54.5

WALLS = 23 + 1 + 12 + 12 + 19 = 67/2 = 33.5

:. PLASTER = 16 + 12 + 1 + 19 + 20 + 5 + 18 = 91/2= 45.5

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 6
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A man starts at a certain point, walks one km east, then two km north, one km east, one km north, one km east and finally one km north to arrive at the destination. What is the shortest distance (in km) from the starting point to the destination?
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 6

Let us assume that man starts from point O and reaches his destination at point A.

The shortest distance between O and his destination is OA = = 5 km

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 7
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A person travels 340 km in 8 h. The first part of the journey, he travels by car at the speed of 50 km/h and in the second part of the journey he travels by train at the speed of 38 km/h. How many km did he travel by train?
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 7
Average speed of the journey = 340/8 km/h

By the rule of Allegation :

Time spent in car : Time spent in train = 9/2 : 15/2 = 3 : 5

Time spent in train = 5/8 x 8 = 5 h

Distance travelled by train = 38 x 5 = 190 km

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 8
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Directions: Voting is the privilege for which wars have been fought, protests have been organized, and editorials have been written. "No taxation without representation," was a battle cry of he American Revolution. Women struggled for suffrage, as did many minorities. Eighteen year olds clamored for the right to vote, saying that if they were old enough to go to war, they should be allowed to vote. Yet Americans have a deplorable voting history, and many will tell you they have never voted.

What is the meaning of the word 'suffrage' as used in the passage?
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 8
Refer to the context, 'Voting is the privilege for which wars have been fought, protests have been organized, and editorials have been written' and 'Women struggled for suffrage ...', which means 'suffrage' refers to 'the right to vote in elections'.
GATE Mock Test Mechanical Engineering (ME) - 10 - Question 9
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In a class, 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 9
We know that (A U B) = A + B -(A n B), where (A U B) represents the set of people who have enrolled for at least one of the two subjects Math or Economics and (A n B) represents the set of people who have enrolled for both the subjects Math and Economics. (AU B)=A+B- (AnB)

U = 40 + 70 - 15 = 95%

That is 95% of the students have enrolled for at least one of the two subjects Math or Economics.

Therefore, the balance (100 — 95)% = 5% of the students have not enrolled for either of the two subjects.

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 10
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A teacher gave a sum to his class to find the average of 'n' number wiz 1, 2, 3, ... n. But when the teacher checked the solution, he found that during calculation, a student just missed a number for addition and thus his average of 'n' numbers was 15. The least value of n is
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 10
Let the missing number be k.

The sum of series 1, 2, 3, …..n is n(n+1)/2

So, according to problem statement

n2 + n – 2k = 30n

n2 – 29n = 2k

n (n – 29) = 2k

So, at n ≤ 29, the above expression is invalid. Because at n ≤ 29, the value of k become either zero or negative.

So, least value of n is 30.

At n = 30, we have

30(30 – 29) = 2k

k = 15

*Answer can only contain numeric values
GATE Mock Test Mechanical Engineering (ME) - 10 - Question 11
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If A is a matrix of order 5 x 5, with each element as 0 or 1, then determinant of (A- AT) ____

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 11
(A — AT) is a skew-symmetric matrix of order 5. Determinant of any skew-symmetric matrix of odd order is zero.
GATE Mock Test Mechanical Engineering (ME) - 10 - Question 12
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The product of matrix A and adj. A is a
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 12
The product of a matrix A and its adjoint is equal to unit matrix multiplied by the determinate.

Consider A be a square matrix, then

(Adjoint A)・A = A ・(Adjoint A) = , A , ・I

=,A, I

Which is the scalar matrix

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 13
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During heat treatment of steel, the hardness of various structures in increasing order is
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 13

Steel can be cooled from the high temperature region at a rate so high that the austenite does not have sufficient time to decompose into sorbite or troostite.
In this case, austenite is transformed into martensite. Martensite is ferromagnetic, very hard and brittle.

So, the hardness of various structures in increasing order is:
Spheroidite → Coarse pearlite → Fine pearlite → Martensite

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 14
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The function f(t) = xy + iy is
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 14

From the cauchy- Reimann equation

Thus

So that it is not a analytical function.

Since u and v are functions of x and y with non zero values. Thus u,v and hence F(t) are continuous functions.

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 15
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Solve dy/dx = ex-y + x2 e-y
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 15

Given D.E dy/dx = ex-y + x2 e-y

⇒ ey dy = (ex + x2) dx

Integrate both sides

*Answer can only contain numeric values
GATE Mock Test Mechanical Engineering (ME) - 10 - Question 16
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A block of 50 N weight rests in limiting equilibrium on rough inclined plane whose slope is 30°. The plane is raised to slope 60°. What will be the force F (in N) required acting along the plane that will just move the body up? (Answer up to two decimal places)

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 16

R = W cos 60° ...(1)

F = W sin 60° + μR ...(2)

From equation (1) and (2) we get

= 57.74 N

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 17
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Cold working of steel is defined as working
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 17

Cold forming or cold working can be defined as the plastic deforming of metals and alloys under conditions of temperature and strain rate. Theoretically, the working temperature for cold working is below the recrystallization temperature of the metal/alloy (which is about one-half the absolute melting temperature).

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 18
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Two identical springs labelled as 1 and 2 are arranged in series and subjected to force F as shown in the given figure.

Assume that each spring constant is k. The strain energy stored in spring 1 is
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 18

Strain energy stored by system (U)

Strain energy stored by spring …..(I)

= U/2 = F2 /8 k

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 19
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In an MRP system, component demand is
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 19

MRP (Material Requirement Planning):
MRP function is a computational technique with the help of which the master schedule for end products is converted into a detailed schedule for raw materials and components used in the end proudct.
Input to MRP:
(i) Master production schedule.
(ii) The bill of material.
(iii) Inventory records relating to raw materials.

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 20
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A straight bar is fixed at edges A and B. Its elastic modulus is E and cross-section is A. There is a load P = 120 N acting at C. The reactions at the ends are
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 20

R1 - R2 = 120 (i)

∴ R1= - 2R2 (ii)

From equation (i) and (ii) :

R2 = - 40

R2 = 40 N ( opposite direction to our assumption)

and R1= 80 N

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 21
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Two plates of 25mm thickness are connected by double riveted butt joint with two covers. The pitch of outer row is twice the pitch of inner row. Diameter of rivet is 32mm. The shear strength of rivet is 60 MPa. The allowable shear load carrying capacity of joint is
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 21

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 22
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If the energy grade line and hydraulic grade line are drawn for flow through an inclined pipeline, the following four quantities can be directly observed:

  1. Static head

  2. Friction head

  3. Datum head

  4. Velocity head

Starting from the arbitrary datum line, the above types of heads will be in the sequence as
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 22
Total Energy line is the line joining points representing total energy Head (Pressure head + velocity head + datum head), whereas hydraulic grade line is the line joining points representing piezometric head (Pressure head + datum head).

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 23
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A close - coiled spring is cut into 3 parts in a ratio 2:4:3 as shown in figure.

What is the stiffness of part (c) if the stiffness of whole spring is ‘K’
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 23

stiffness of part (c)

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 24
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In turbulent flow, one can estimate the Nusselt number using the analogy between heat and momentum transfer (Colburn analogy). This analogy relates the Nusselt number to the coefficient of friction, Cf, as
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 24
In turbulent flow ,using the analogy between heat and momentum transfer ,the relation between the Nusselt number to the coefficient of friction (cf) is

Nu = 0.5 Cf Re Pr1/3

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 25
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A diesel engine is usually more efficient than a spark ignition engine because
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 25

The compression ratio of diesel engine ranges between 14 to 25 whereas for S.I. engine, it ranges between 6 to 12. Diesel Engine gives more power but efficiency of diesel engine is less as compared to the S.I. engine for same compression ratio.

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 26
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Match List I (A function connected with NC m/c tool) with List II (Associated parameter) and select the correct answer using the codes given below the lists:
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 26
Contour interpolation is an operation which first rasterizes contour lines of a segment map with a value domain, and then calculates values for pixels that are not covered by segments by means of a linear interpolation. Furthermore, on the command line, this operation can also use an input raster map.

The primary function of point to point path control system, also referred to as positioning system, is to move a cutting tool form one point location to another predefined point on the worktable. It is used to perform the drilling, boring, punching operations, etc. This system requires the operator to control the speeds of the machine tool. It is the cheapest tool control system as compared to continuous path control system.

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 27
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For air with a relative humidity of 80%,
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 27

We know that for saturated air, the relative humidity is 100% and the dry bulb temperature, wet bulb temperature and dew point temperature is same. But when air is not saturated, dew point temperature is always less than the wet bulb temperature.
DPT < WBT

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 28
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Consider the following statements:

On heating an elastomer under tensile load, its shrinkage

  1. maximizes the enthalpy

  2. maximizes the entropy

  3. minimizes the free energy

  4. avoids breaking

Which of the above statements are correct?
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 28
In heating an elastomer under tensile load, entropy gets decreased because of only one possible microstate. But by shrinkage, entropy gets increased because of many possible microstates.

By Helmholtz free energy equation, free energy is given by:

A = U – TS, where U = internal energy, T = temperature, S = entropy

So, by increase in entropy, free energy gets reduced.

So, statements 2 and 3 are true.

GATE Mock Test Mechanical Engineering (ME) - 10 - Question 29
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In the winter air conditioning the process on the psychrometric chart is ----------------
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 29
In the winter air conditioning the process is heating and humidification.
GATE Mock Test Mechanical Engineering (ME) - 10 - Question 30
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Match the terms used in connection with heat-treatment of steel with the micro structural/physical characteristics:
Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 10 - Question 30
Pearlite is a two-phased, lamellar (or layered) structure composed of alternating layers of ferrite (87.5 wt%) and cementite (12.5 wt%) that occurs in some steels and cast irons

Martensite is so hard and brittle because:

1) there are relatively few operable slip systems for the body-centered tetragonal crystal structure, and

2) virtually all of the carbon is in solid solution, which produces a solid-solution hardening effect.

Austenite in iron-carbon alloys is generally only evident above 723°C, and below 1500°C, depending on carbon content.

Terms Characteristics

a. Pearlite 3. Alternate layers of Cementite and Ferrite

b. Martensite 1. Extremely hard and brittle phase

c. Austenite 4. Can exist only above 723°C3.

d. Eutectoid 5. Pertaining to state of equilibrium between three solid phases

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