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Practice Test: Mechanical Engineering (ME)- 7 - Mechanical Engineering MCQ


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30 Questions MCQ Test GATE Mechanical (ME) Mock Test Series 2025 - Practice Test: Mechanical Engineering (ME)- 7

Practice Test: Mechanical Engineering (ME)- 7 for Mechanical Engineering 2024 is part of GATE Mechanical (ME) Mock Test Series 2025 preparation. The Practice Test: Mechanical Engineering (ME)- 7 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Practice Test: Mechanical Engineering (ME)- 7 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)- 7 below.
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Practice Test: Mechanical Engineering (ME)- 7 - Question 1

Choose the most approximate word from the options given below to complete the following sentence.

If I had known that you were coming, I _______ you at the airport

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 7 - Question 1

The sentence talks about a past incident and a condition has been mentioned. Thus option 2 fits here correctly. 'Would have' is the correct tense to be used here. Option 1 is illogical. 'Would' must be used here and not 'will' as it is in the past tense. Past perfect tense is incorrect here.

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

Choose the most approximate word from the options given below to complete the following sentence.

I believe in the _____ of positive thinking thus always recommend these books to my clients.

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

The word that fits here is a noun thus options 3 and 4 are eliminated. The form should be singular as for abstract nouns we do not use the plural form. Option 1 is thus the correct answer.

The word powerful is an adjective and 'empowering' is a verb.

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Practice Test: Mechanical Engineering (ME)- 7 - Question 3

Consider a circle of radius r. Fit the largest possible square inside it and the largest possible circle inside the square. What is the radius of the innermost circle?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 7 - Question 3

The radius of outer circle = r

∴ Diagonal of square = 2r

 

Side of square (a)=√2r

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

A bird files along the three sides of a field in the shape of an equilateral triangle at speeds of 3, 6, 8 km/hr respectively. The average speed of the bird is

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

Average speed = Total distance/Total time

Practice Test: Mechanical Engineering (ME)- 7 - Question 5

Choose the most appropriate words from the options given below to fill in the blanks.

She was ______ to travel abroad and _____ in the field of commerce as per her wishes.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 7 - Question 5

The sentence mentions a person doing something as per her wishes thus the first word must be a positive reaction. 'Restive' which means 'restless' and 'jinxed' which means 'cursed' are incorrect here. Between options 1 and 3,the word 'elated' which means 'too happy' and the word 'venture' which means 'undertake a risky or daring journey or course of action' fit here correctly. The word 'cease' means 'stop' and does not convey a proper meaning. Thus option 3 is the correct answer.

Practice Test: Mechanical Engineering (ME)- 7 - Question 6

In a 1600 m race around a circular track of length 400 m, the faster runner and the slowest runner meet at the end of the sixth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at twice the speed of the slowest runner. Find the time taken by the faster runner to finish the race

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 7 - Question 6

As, the faster runner is twice as fast as the slowest runner, the faster runner would have complete two rounds by the time the slowest runner completes one round.

Their first meeting takes place after the fastest runner takes 6 min to complete two rounds and the slowest runner completes one round.

Time taken to complete one round by fastest runner = 6/2 = 3 minutes

Rounds needed to complete the race = 1600/400 = 4

Time taken to complete the race = 4 × 3 = 12 min

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

Select the pair that best expresses a relationship similar to that expressed in the pair:

Horse: Foal

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

The young one of a horse is called a foal. Similarly, the young one of a goose is known as gosling. Thus, option 2 contains the pair that best expresses a relationship similar to that expressed in the given pair. In all the other pairs, the first word expresses the male form of the latter.

Practice Test: Mechanical Engineering (ME)- 7 - Question 8

Juvenile delinquency is also termed as Teenage Crime. Basically, juvenile delinquency refers to the crimes committed by minors. These crimes are committed by teenagers without any prior knowledge of how it affects the society. These kind of crimes are committed when children do not know much about outside world.

Which of the following Inferences is correct with respect to above passage?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 7 - Question 8

Since teenagers here have tender age and commit crimes unknown to its consequences, clearly they should not be treated as any criminal. They need to be taught so that they can make difference between right and wrong and do not commit these crimes in future. Hence inference in option 1 is correct.

Practice Test: Mechanical Engineering (ME)- 7 - Question 9

If n and y are positive integers and 450 y = n³, which of the following must be an integer? 

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 7 - Question 9

450 y = n³ implies that 450 y is the cube of an integer. 

When we prime-factorize the cube of an integer, we get 3 (or a multiple of 3) of every prime factor.

8 is the cube of an integer because 8 = 2³ = 2*2*2.

Thus, when we prime-factorize 450 y, we need to get at least 3 of every prime factor. 

Here's the prime factorization of 450 y:

450 y = 2 * 3² * 5² * y 

Since 450 provides only one 2, two 3's, and two 5's, and we need at least 3 of every prime factor, the missing prime factors must be provided by y. Thus, y must provide at at least two more 2's, one more 3, and one more 5. 

Smallest possible case: 

y = 2² * 3 * 5

Practice Test: Mechanical Engineering (ME)- 7 - Question 10

The graph shows cumulative frequency % of research scholars and the number of papers published by them. Which of the following statements is true?

Practice Test: Mechanical Engineering (ME)- 7 - Question 11

For which value of x, the following matrix A is a singular matrix.

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

Find the laplace transform of t2sin (2t).

Practice Test: Mechanical Engineering (ME)- 7 - Question 13

Consider the following function:

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

Practice Test: Mechanical Engineering (ME)- 7 - Question 15

The integrating factor of equation y log y dx + (x – log y) dy = 0 is

Practice Test: Mechanical Engineering (ME)- 7 - Question 16

The Mohr’s circle given below corresponds to which one of the following stress condition.

Practice Test: Mechanical Engineering (ME)- 7 - Question 17

For a laminar flow over a flat plate, the local heat transfer coefficient ‘hx’ varies as x-1/2, where x is the distance from the leading edge (x = 0) of the plate. The ratio of the average coefficient ‘ha’ between the leading edge and some location ‘A’ at x = x on the plate to the local heat transfer coefficient ‘hx’ at A is:

Practice Test: Mechanical Engineering (ME)- 7 - Question 18

A vapour absorption refrigeration system is a heat pump with three thermal reservoirs as shown in the figure. A refrigeration effect of 100 W is required at 250 K when the heat source available is at 400 K. Heat rejection occurs at 300 K. The minimum value of heat required (in W) is

*Answer can only contain numeric values
Practice Test: Mechanical Engineering (ME)- 7 - Question 19

The heat loss from a fin is 8 W. The effectiveness and efficiency of the fin are 4 and 0.8, respectively. The heat loss (in W) from the fin, keeping the entire fin surface at base temperature, is ________.


Practice Test: Mechanical Engineering (ME)- 7 - Question 20

An activity has an early start date of the 10th and a late start date of the 19th. The activity has a duration of four days. There are no non-workdays. From the information given, what can be concluded about the activity?

Practice Test: Mechanical Engineering (ME)- 7 - Question 21

In Fig. 1-12, assume that a 20-mm-diameter rivet joins the plates that are each 110 mm wide. The allowable stresses are 120 MPa for bearing in the plate material and 60 MPa for shearing of rivet. Determine (a) the minimum thickness of each plate; and (b) the largest average tensile stress in the plates.

Practice Test: Mechanical Engineering (ME)- 7 - Question 22

The coeffcient of thermal expansion of steel is 12 × 10-6/°C and that of stainless steel is 18 × 10-6/°C. Length of steel bar is twice the length of stainless steel bar. The ratio of expansion of steel bar to expansion of stainless steel bar, when there is rise of temperature is-

Practice Test: Mechanical Engineering (ME)- 7 - Question 23

At room temperature, pure titanium possesses which of the following crystal structure _______?

*Answer can only contain numeric values
Practice Test: Mechanical Engineering (ME)- 7 - Question 24

A 400 mm long sprue carries molten metal to fill a cylindrical mould of diameter 20 mm & height of 30 mm by top gating system. If the molten metal flow rate through the sprue is 600 mm3/sec, & it is maintained constant by maintaining constant metal head in pouring basin. Then find the mould filling time (in Seconds) ________?


Practice Test: Mechanical Engineering (ME)- 7 - Question 25

A cup is drawn in a deep drawing operation. The inside diameter of cup is 100 mm. If sheet thickness and blank diameter is 4 mm and 240 mm respectively then find percentage reduction ________?

*Answer can only contain numeric values
Practice Test: Mechanical Engineering (ME)- 7 - Question 26

A turbine develops 900 kW when running at 200 r.p.m. The head on the turbine is 30 m. If the head on the turbine is reduced to 18 m, determine the speed of the turbine (in rpm).


*Answer can only contain numeric values
Practice Test: Mechanical Engineering (ME)- 7 - Question 27

The frequency of a spring-mass suspension becomes 60 percent of the resonant frequency when a damper is added to it. What will be the damping ratio?


Practice Test: Mechanical Engineering (ME)- 7 - Question 28

Square blanks of 8 mm side lengths are blanked from an aluminium sheet of 3 mm thickness. The shear strength of the aluminium is 85 MPa. The minimum blanking force (in kN) is _________?

Practice Test: Mechanical Engineering (ME)- 7 - Question 29

A cold rolled steel shaft is designed on the basis of maximum shear stress theory. The principal stresses induced at its critical section are 60 MPa and -60 MPa respectively. If the yield stress for the shaft material is 360 MPa, the factor of safety of the design is:

Practice Test: Mechanical Engineering (ME)- 7 - Question 30

Which of following related fluid flow parameters exist both in rotational and irrotational flows?

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