Mechanical Engineering Exam  >  Mechanical Engineering Test  >  GATE Mechanical (ME) Mock Test Series 2027  >  GATE Mock Test Mechanical Engineering (ME) - 9 - Mechanical Engineering MCQ

GATE Mechanical (ME) Mock Test Engineering - 9 Free Online Test 2026


Full Mock Test & Solutions: GATE Mock Test Mechanical Engineering (ME) - 9 (65 Questions)

You can boost your Mechanical Engineering 2026 exam preparation with this GATE Mock Test Mechanical Engineering (ME) - 9 (available with detailed solutions).. This mock test has been designed with the analysis of important topics, recent trends of the exam, and previous year questions of the last 3-years. All the questions have been designed to mirror the official pattern of Mechanical Engineering 2026 exam, helping you build speed, accuracy as per the actual exam.

Mock Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 180 minutes
  • - Total Questions: 65
  • - Analysis: Detailed Solutions & Performance Insights
  • - Sections covered: General Aptitude, Mechanical Engineering

Sign up on EduRev for free and get access to these mock tests, get your All India Rank, and identify your weak areas to improve your marks & rank in the actual exam.

GATE Mock Test Mechanical Engineering (ME) - 9 - Question 1

Directions: Fill in the blank.

Dare ______ mistakes.

Detailed Solution: Question 1

With 'dare' as a main verb, to-infinitive will be used. Option (2) is the correct answer.

GATE Mock Test Mechanical Engineering (ME) - 9 - Question 2

Pick the odd one out.

Detailed Solution: Question 2

Swimming is done in a large water body. All the other words relate to activities involving smaller volume of water.

GATE Mock Test Mechanical Engineering (ME) - 9 - Question 3

In a certain code language, if the word DISTANCE is coded as EDCINSAT then ACQUIRE is coded as

Detailed Solution: Question 3

In this coding language, the letters are written such that one letter from right end followed by one letter from left end.

GATE Mock Test Mechanical Engineering (ME) - 9 - Question 4

Directions: The first figure in the first unit of the Problem Figures bears a certain relationship to the second figure. Similarly one of the figures in the Answer Figures bears the same relationship to the second figure. Locate the figure which would fit in the question mark.

Detailed Solution: Question 4

In each step, inner square is rotated 90° clockwise and dot is on the corner which is empty.

GATE Mock Test Mechanical Engineering (ME) - 9 - Question 5

Find the number to be placed as X in figure-iv:

Detailed Solution: Question 5

The number at centre is sum of squares of all other numbers.

GATE Mock Test Mechanical Engineering (ME) - 9 - Question 6

SBI lent 1 lakh to farmer Kishan Singh at 6% per annum, at simple interest for a period of 10 years. Meanwhile, the bank offered a discount in the rate of interest, according to the Govt. policy for farmers. Thus, the rate of interest is decreased to 4% p.a. In this way, Kishan Singh had to pay a total amount 1.48 lakh. After how many years did Kishan Singh got the discount in the rate of interest?

Detailed Solution: Question 6

Suppose that 6% per annum be the rate of interest for x years, then the 4% per annum be the rate of interest for (10 - x) years.

Interest paid by Kishan Singh = Rs. 48,000

Now,

48 = 6x + 40 - 4x

2x = 8

x = 4 years

It means Kishan Singh availed the discount after 4 years.

option (3) is correct.

GATE Mock Test Mechanical Engineering (ME) - 9 - Question 7

In a class, some students play cricket and some play hockey. The students who play cricket is twice in number than those who play only hockey. The students who takes hockey are double in number than those who play only cricket. Consider the following statements and find correct ones:

Sum total of those students who play either cricket or hockey or both is thrice of those who play both cricket and hockey.

  • Sum total of those who play only cricket and only hockey, is twice the number of students playing both cricket and hockey.

    Detailed Solution: Question 7

    Let number of students who play cricket =x

    Let number of students who play hockey = y

    Let number of students who play both cricket and hockey = C

    Now as per information in questions:

    x = 2 (y- C) …………(i)

    y = 2 (x- C) ………….(ii)

    Putting value of y from equation (ii) in equation (i)

    x= 2 [2 (x- C)- C] = 2 [2x - 3C]

    = 4x- 6C

    or ax = 2C (iii)

    Now, putting value in equation (ii)

    y= 2c ... (iv)

    Sum total of those students who play either cricket or hockey or both;

    S, = (x - C)+ (y- C)+ C = (2C- C)+ (2C- C)+ C

    = C + C = 3C

    Some total of those who play only cricket and only hockey

    S2 = - + (y- C)= (2C- C)+ (2C- C)= C + C = 2C

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 8

    Daniel starts his morning walk in a straight line. After going 10 meters straight, he starts walking towards his right and walks for 25 meters straight. He then takes his left turn and finds that the sun is to his left. He walks in this direction for another 10 meters and then takes another right turn and after walking 25 meters straight, he ends his morning walk.

    When Daniel started his morning walk, in which direction was he facing?

    Detailed Solution: Question 8

    From the given information, we have

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 9

    The following pie charts show the break-up of the sales of ‘5’ different models of KK automobiles. Solve the question based on it.

    What is the percentage change in the sales of K-800 from 1997 to 1998?

    Detailed Solution: Question 9

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 10

    Four cities are connected by a road network, as shown in the figure. In how many ways can you start from any city and come back to it without travelling on the same road more than once?

    Detailed Solution: Question 10

    Suppose that a man starts from a city. The condition is that there should be no repetition of path during his journey. So, two paths are restricted for one pass only.

    Thus, the total number of possible cases = 12.

    Travelling with each node in one direction only will give 6 possible routes. There are another 6 routes, when travelling in opposite direction from the first one. So, the total possible ways are 12 only.

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 11

    Consider the given data for a porter governor:

    Power of the governor = 3.48 Nm

  • Mass of fly ball =3.9 kg

  • Mass of the sleeve = 19.1 kg

  • Maximum rise of the sleeve = 240 mm

  • K = 1

    The fraction change in speed is

    Detailed Solution: Question 11

    Power of porter governor =

    Solving by options,

    Taking option (a) first,

    C = 0.1438

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 12

    Inverse Laplace Transform of is

    Detailed Solution: Question 12

    We know

    Thus

    *Answer can only contain numeric values
    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 13

    For an involute rack and pinion arrangement, the value of pressure angle and module is kept fixed at 20° and 5 mm. If the addendum of the rack is 6 mm, then minimum number of teeth on pinion to avoid interference is


    Detailed Solution: Question 13

    5AR = 6

    ⇒AR= =1.2

    =20.517

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 14

    If a2 + b2 + c2 = 1, then ab + bc + ac lies in the interval

    Detailed Solution: Question 14

    We know (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
    Given a2 + b2 + c2 = 1
    So, (a + b + c)2 = 1 + 2 (ab + bc + ca)
    Since, square is always positive quantity, so
    1 + 2(ab + bc + ca) ≥ 0
    ab + bc + ca ≥ - 1/2

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 15

    Two vessels contain mixtures of spirit and water. In the first vessel, the ratio of spirit to water is 8 : 3 and in the second, the ratio is 5 : 1. A 35 litre cask is filled from these vessels, so as to contain a mixture of spirit to water in the ratio of 4 : 1. How much mixture is taken from the first vessel?

    Detailed Solution: Question 15

    Suppose X litres are taken from the first vessel. Then, (35 - X) litres are taken from the second vessel.
    In the first vessel, 8/11 th of the mixture is spirit; while in the second vessel, 5/6th of the mixture is spirit.
    The spirit in the 35 litres cask is 4/5th of the mixture.

     X = 11
     11 litres of the mixture is taken from the first vessel.

    *Answer can only contain numeric values
    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 16

    A bell-crank lever ABC is pivoted at B and carries a weight 14 kN at C as shown in figure. Take AB = 21 cm and BC = 30 cm. The horizontal force F (in kN) necessary to prevent turning of the lever, is _______. (Answer up to two decimal places)


    Detailed Solution: Question 16

    Consider the figure If lever is in equilibrium then moment about point B must be zero

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 17

    For the stability of a floating body, under the influence of gravity alone, which of the following is TRUE?

    Detailed Solution: Question 17

    Concept:
    The partially submerged body resembles the floating body, where the weight of the body is balanced by the buoyancy force acting in the upwards direction. The stability of the floating is governed by the metacenter of the floating body.
    Metacenter is the point about which a body starts oscillating when the body is tilted by a small angle. It is the point where the line of action of buoyancy will meet the normal axis of the body when the body is given a small angular displacement.


    Stable equilibrium: Metacenter is above the center of gravity of the body, then the disturbing couple is balanced by restoring the couple, the body will be in stable equilibrium.

    Unstable equilibrium: Metacenter is below the center of gravity of the body, then the disturbing couple is supported by restoring the couple, the body will be in unstable equilibrium.

    Neutral equilibrium: The metacenter and the center of gravity coincides at the same point, then the body is in neutral equilibrium.

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 18

    In a beam of circular cross-section, the shear stress variation across a cross - section

    Detailed Solution: Question 18

    Shear stress in circular cross-section

    We observe the following

    (i) Variation of versus is parabolic curve

    (ii) increases as decreases

    (iii) at

    (iv) at , is maximum

    *Answer can only contain numeric values
    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 19

    In an orthogonal cutting, cutting force is 350 N and the thrust force is 250 N. Rake angle is 10°. The effective coulomb's coefficient is . (Round off to two decimal places)


    Detailed Solution: Question 19

    Given Fc=350N, Ft=250N,

    Effective coulomb’s coefficient,

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 20

    A cantilever beam of length is subjected to a concentrated load P at a distance of l/3 from the free end. What is the deflection of the free end of the beam? (EI is the flexural rigidity)

    Detailed Solution: Question 20

    Now deflection at free end

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 21

    A flat plate of 15 cm wide and 45 cm long placed longitudinally in a stream of oil of RD = 0.925 and kinematic viscosity of 0.9 stoke, flowing with a free stream velocity of 6 m/s. The friction drag on the plate (in N) is____________.

    Take

    Detailed Solution: Question 21

    Reynolds number at the trailing edge is

    Drag on the plate = 2 X FD

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 22

    The total number of instantaneous centres for a mechanism consisting of 'n' links is

    Detailed Solution: Question 22

    The number of pairs of links or the number of instantaneous centres is the number of combinations of 'n' links taken two at a time.

    Mathematically,

    Total No. of I.C.R. =

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 23

    In the isothermal transformation diagram for a 0.45 wt% C steel alloy, when we rapidly cool a small austenite specimen to 200°C and keep it there for about 1000 s, the major constituent in the final micro structure is

    Detailed Solution: Question 23

    200°C is below martensite start point in cooling, so martensite will get formed. Moreover, the term rapid cooling suggest that it will not enter the nose of curve.

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 24

    If 'n' variables in a physical phenomenon contained 'm' fundamental dimensions, then the variables can be arranged into

    Detailed Solution: Question 24

    Buckingham π theorem: The theorem states that if there are `n` variable involved contain physical phenomenon and if these variable contain `m` primary dimensions (e.g. M, L, T) then the variable quantities can be expressed in terms of an equation containing (n - m) dimensionless groups of parameters.

    *Answer can only contain numeric values
    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 25

    A body rotating at 20 rad/s is acted upon by a constant torque providing it a deceleration of 2 rad/s2. The time (in s) at which the body have same kinetic energy as the initial if the torque continues to act is


    Detailed Solution: Question 25

    First the body will come to rest due to angular deceleration.

    t1 = time taken for body to come rest

    0 = 20 - 2 x t1

    ⇒ t2 = 10s

    Again the torque will increase the angular velocity in reverse direction.

    t2 = time taken for angular velocity to become 20 rad/s

    20 = 2 x t2

    ⇒t2 = 10s

    Total time = t1 + t2

    = 10 + 10

    = 20 s

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 26

    Which one of the following is the correct expression for one-dimensional, steady-state, constant thermal conductivity heat conduction equation for a cylinder with heat generation?

    Detailed Solution: Question 26

    The one-dimensional, steady state constant thermal conductivity heat conduction equation for a cylinder with heat generation is

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 27

    By application of tensile force, the cross-sectional area of a bar P is first reduced by 30% and then by an additional 20% of initial original area. Another bar Q of the same material is reduced in cross-sectional area by 50% in a single step by applying tensile force. After deformation, the true strains in bar P and bar Q will respectively be

    Detailed Solution: Question 27

    Case-1: Bar P

    A0L0 = A1L1 = A2L2

    ⇒ A1 = 0.7A0

    A2 = 0.5A0

    L2 = 2L0 = 2 x 0.7L1

    Case-2: Bar Q

    A0L0 = A1L1

    ⇒ A1 = 0.5A0

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 28

    In the design of beams for a given strength, consider that the conditions of economy of used of the material would avail as follows:

    Rectangular cross-section is more economical than square section of the same cross-sectional area of the beam.

  • Circular section is more economical than square section.

  • I-section is more economical than a rectangular section of the same depth.

    Which of the above are correct?

    Detailed Solution: Question 28

    Equating area of rectangle and square:

    rectangular cross-section is more economical than square cross-section.

    Square is economical than circular cross-section.

    I-section is more economical than rectangular section.

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 29

    The resultant force acting at a tool point is 1200 N and its angle of inclination to the horizontal is 58°. The plan approach angle to which it acts perpendicularly is 28°. The required feed force to turn the component (in N) is

    Detailed Solution: Question 29

    Cutting force, Fc = Fr x sin 58°

    = 1200 x sin 58°

    = 1017.657 N

    Feed force, Fr = Ft x tan 28° ......... (1)

    Where Ft = thrust force

    Resultant force at a pool point is

    Fr2 = Fc2 + Ff2 +Ft2.

    (1200)2 = (1017.65)2 + Ft2 x tan2 18° + Ft2

    ⇒ Ft = 561.469 N

    (1) ⇒ Ff = 561.469 x tan 28°

    = 298.53 N

    GATE Mock Test Mechanical Engineering (ME) - 9 - Question 30

    Size of a shaper is given by

    Detailed Solution: Question 30

    Shaper size is designated by its longest nominal cutting stroke. On most horizontal shapers, the table can be fed cross-wire a distance at least as large as the stroke.

    View more questions
    30 docs|220 tests
    Information about GATE Mock Test Mechanical Engineering (ME) - 9 Page
    In this test you can find the Exam questions for GATE Mock Test Mechanical Engineering (ME) - 9 solved & explained in the simplest way possible. Besides giving Questions and answers for GATE Mock Test Mechanical Engineering (ME) - 9, EduRev gives you an ample number of Online tests for practice
    Download as PDF