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Practice Test: Mechanical Engineering (ME)- 4 - Mechanical Engineering MCQ


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30 Questions MCQ Test GATE Mechanical (ME) Mock Test Series 2025 - Practice Test: Mechanical Engineering (ME)- 4

Practice Test: Mechanical Engineering (ME)- 4 for Mechanical Engineering 2024 is part of GATE Mechanical (ME) Mock Test Series 2025 preparation. The Practice Test: Mechanical Engineering (ME)- 4 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Practice Test: Mechanical Engineering (ME)- 4 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)- 4 below.
Solutions of Practice Test: Mechanical Engineering (ME)- 4 questions in English are available as part of our GATE Mechanical (ME) Mock Test Series 2025 for Mechanical Engineering & Practice Test: Mechanical Engineering (ME)- 4 solutions in Hindi for GATE Mechanical (ME) Mock Test Series 2025 course. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free. Attempt Practice Test: Mechanical Engineering (ME)- 4 | 65 questions in 180 minutes | Mock test for Mechanical Engineering preparation | Free important questions MCQ to study GATE Mechanical (ME) Mock Test Series 2025 for Mechanical Engineering Exam | Download free PDF with solutions
Practice Test: Mechanical Engineering (ME)- 4 - Question 1

Choose the word or phrase which is nearest in meaning to the key word:

            Pilfer

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

The following question comprises two words that have a certain relationship between them followed by four pairs of words. Select the pair that has same relationship as the original pair of words

            Fox : Cunning

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Practice Test: Mechanical Engineering (ME)- 4 - Question 3

Replace the phrase printed in bold to make it grammatically correct?

A twenty-first-century economy "cannot be held" hostage by power cuts nor travel on nineteenth-century roads.

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

Improve the sentence with suitable options by replacing the underlined word.

He "lay" on the grass enjoying the sunshine.

Practice Test: Mechanical Engineering (ME)- 4 - Question 5
  1. Fill in the blanks :

            At times, we are all ______ to be mistaken.

Practice Test: Mechanical Engineering (ME)- 4 - Question 6

There are two solutions of wine and water, the concentration of wine being 0.4 and 0.6 respectively. If five liters of the first solution be mixed with fifteen liters of the second, find the concentration of wine in the resultant solution.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 6

Resultant concentration of wine

 

           

Practice Test: Mechanical Engineering (ME)- 4 - Question 7

Rajiv bought some apples at the rate of 25 for Rs. 400 and an equal number at the rate of 30 for Rs. 270. He then sold all at the rate of 10 for Rs. 180. Find his profit/loss percentage

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 7

Let Rajiv bought x apples of each kind.

Total cost price of Rajiv =  

Total selling price of Rajiv =

SP > CP , Hence he makes profit;

Profit percentage  =

Practice Test: Mechanical Engineering (ME)- 4 - Question 8

The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -.

Practice Test: Mechanical Engineering (ME)- 4 - Question 9

2 men and 3 boys can do a piece of work in 10 days, while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work ?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 9

Let work done by 1 man in 1 day = x units

Let work done by 1 boy in 1 day = y units

 

2 men and 1 boy can finish work

No. of days taken by 2 men and 1 boy = = 12.5 days

Practice Test: Mechanical Engineering (ME)- 4 - Question 10

In an exam, 60% of the candidates passed in Maths and 70% candidates passed in English and 10% of the candidates failed in both the subjects, 300 candidates passed in both the subjects. Find the total number of candidates appeared in the exam, if they took test in only two subjects that is Math and English.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 10

Let total number of students appear be X.

X = 750

Practice Test: Mechanical Engineering (ME)- 4 - Question 11

    is equal to

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 11

Thus 1 in determinant form occurs adding and subtracting 1

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

A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those obtained in the first four tosses. 

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

Let  E1   be the event that head occurs in fifth toss

E2   be the event that first four heads and fifth tail

Practice Test: Mechanical Engineering (ME)- 4 - Question 13

Other Roots of the equation

if one root is same as one root of x2 + 10x + 9 = 0

 

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 13

Given determinant on expansion reduces to the equation
?    x3 – 67x+ 126 = 0  -------------(1)
?    Given equation x2+10x+ 9 has roots -9, -1
?    {– 9 is also a root of (1)}
?        So L.H.S of (1) is exactly divisible by x 9. On dividing x3 – 67x+ 126  by  x+ 9 we get quotient  x2 – 9x+ 14  Roots of x2– 9x +14 which are 2 and 7 are also roots of (1)

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

A speaks truth in 60% cases and B speaks truth in 70% cases. The probability that they will say the same thing while describing a single event is

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

P (A) = Probability that A speaks truth = 0.6

P(B) = Probability that B speaks the truth = 0.7

    E1 : Both speaks truth
    E2 : Both speak false
    E : Both speaks the same thing

Practice Test: Mechanical Engineering (ME)- 4 - Question 15

While water passes through a given pipe at mean velocity V1. The flow is found to change from Laminar to turbulent. If another fluid of specific gravity 0.8 and coefficient of viscosity 20% of that of water, is passed through the same pipe, the transition of flow from Laminar to turbulent is expected if the flow velocity is

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 15

Practice Test: Mechanical Engineering (ME)- 4 - Question 16

A cylinder contains 0.12 m3 of air at 1 bar and 900c  . It is compressed to 0.03 m3, the final pressure being 6 bar. The index of compression will be   

 

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 16

n = 1.292

 

Practice Test: Mechanical Engineering (ME)- 4 - Question 17

The rpm of steel bar of 150 mm diameter which is turned at 50 m/min speed with carbide tool is.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 17

N = 106.1 rpm

Practice Test: Mechanical Engineering (ME)- 4 - Question 18

 A nuclear fuel element is in the form of a solid sphere of 12.5 mm radius. It’s thermal conductivity is 24.2 W/mK. The heat generation rate is 50 × 106 W/m3. The heat generated is     absorbed by a fluid at 2000C . If the maximum temperature is limited to 3600C , the convection coefficient (W/m2K) required is

 

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 18

  Amount of heat generated = Heat convected

h = 1302.08 watt / m2 k  

Practice Test: Mechanical Engineering (ME)- 4 - Question 19

Consider the PERT network shown  below:

The desired completion date for the project if probability of finishing the project is 19% (Z(0.87) = 0.19) is.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 19

Critical path
    A - B - D - F - G
    Project time = 38

TS = 35 Weeks

Practice Test: Mechanical Engineering (ME)- 4 - Question 20

    In rolling process, roll diameter is 800 mm. The thickness of 60 mm strip is to be reduced to 40 mm in single pass. Coefficient of friction is

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 20

m = 0.223

Practice Test: Mechanical Engineering (ME)- 4 - Question 21

A gas expands from an initial state where the pressure is 340 kPa and volume is 0.0425 m3 to a final pressure of 136 kPa. If the gas follows PV2 = c, then the work for the process (in kJ) will be.   

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 21

Practice Test: Mechanical Engineering (ME)- 4 - Question 22

An item is produced at the rate of 50 items per day. The demand occurs at the rate of 25 items per day. If the setup cost is Rs. 100 per setup and holding cost is Rs 0.01 per unit of item per day. The economic lot size is:

 

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 22

= 1000 items

Practice Test: Mechanical Engineering (ME)- 4 - Question 23

In a pipe flow, the head loss due to friction is 6m. If the power transmitted through the pipe has to be maximum then the total head at the inlet will have to be maintained as. 

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 23

Head lost due to friction is 6 m. Power transmitted is maximum when the friction head is 1/3rd of the supply head supply head is 18 m

Practice Test: Mechanical Engineering (ME)- 4 - Question 24

In a cutting operation, angle of approach is 750  and feed is 0.32 mm/rev. The value of underformed chip thickness is.

 

Practice Test: Mechanical Engineering (ME)- 4 - Question 25

 

Portion BC is semi-circular . If after several oscillation ball of mass 10 kg comes to rest. The bending moment at A when ball is at rest will be ? Take g = 9.81 m/s2

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 25

At rest, ball is at lower most potion of semi circle
     BM at A = l0g × (10 2.5)
            = 10 × 9.81 × 12.5
            = 1226.25 N-m

Practice Test: Mechanical Engineering (ME)- 4 - Question 26

    An orthogonal cutting operation is being carried out under following conditions. Cutting speed = 4m/s, depth of cut = 0.5 mm,Chip thickness = 0.6 mm,Chip velocity is:-

 

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 26

Chip velocity, VC = V × r

= 3.33 m/s

Practice Test: Mechanical Engineering (ME)- 4 - Question 27

A two stage compressor takes in air at 1.1 bars and discharges at 20 bars. For max efficiency, the intermediate pressure is.   

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 27

P2 = 4.7 bar    

Practice Test: Mechanical Engineering (ME)- 4 - Question 28

In case of Partial bearing, the angle of contact between the bush and journal is  

Practice Test: Mechanical Engineering (ME)- 4 - Question 29

    In a tool life test, doubling the cutting speed reduces the tool life to   of the original. Taylor’s tool life index is. 

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 29

(4)n = 2

n = 0.5

Practice Test: Mechanical Engineering (ME)- 4 - Question 30

A fluid jet is discharging from a 100 mm nozzle and the vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle is.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 4 - Question 30

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