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GATE Mechanical (ME) Mock Test Engineering - 1 Free Online Test 2026


Full Mock Test & Solutions: GATE Mock Test Mechanical Engineering (ME) - 1 (65 Questions)

You can boost your Mechanical Engineering 2026 exam preparation with this GATE Mock Test Mechanical Engineering (ME) - 1 (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

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

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

Although some think the terms "bug" and "insect" are_______ , the former term actually refers______ group of insects.

Detailed Solution: Question 1

The word "although" indicates that the two parts of the sentence contrast with each other: although most people think about the terms "bug" and "insect" one way, something else is actually true about the terms. Choice (C) logically completes the sentence, indicating that while most people think the terms are "interchangeable," the term "bug" actually refers to a "particular" group of insects.

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 2

Directions: The second figure of the problem figures bears a certain relationship to the first figure. Similarly, one of the figures in the answer figures bears the same relationship to the third figure. You have to select the figure from the set of answer figures which would replace the sign of the question mark (?).

Detailed Solution: Question 2

Figure (1) is rotated 180° about the vertical axis passing through its centre to get figure (2). Figure (3) is rotated 180° about the horizontal axis passing through its centre.

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 3

Directions: Choose the most appropriate alternative from the options given below to complete the following sentence.

Suresh's dog is the one ________ was hurt in the stampede.

Detailed Solution: Question 3

With indefinite pronouns, 'that' is used. Here, 'one' is the indefinite pronoun.

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 4

One of the four words given in the four options does not fit the set of words. The odd word from the group is:

Detailed Solution: Question 4

'Hiatus' means 'a pause or break in continuity of a sequence or an activity'. So, options 1, 2 and 3 refer to gap or rest. But, 'end' means 'a termination of a state or situation', thus the odd one out.

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 5

Kishenkant walks 10 kilometres towards North. From there, he walks 6 kilometres towards south. Then, he walks 3 kilometres towards east. How far and in which direction is he with reference to his starting point?

Detailed Solution: Question 5

The movements of Kishenkant are as shown in figure

A to B, B to C and C to D

AC = (AB - BC) = (10 - 6) km = 4 km

Clearly, D is to the North-East of A .

Kishenkant's distance from starting point A

So, Kishenkant is 5 km to the North-East of his starting point

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 6

Directions: Select the missing number from the given responses.

Detailed Solution: Question 6

The pattern followed is

3 x 5 x 4 = 60

5 x 7 x 2 = 70

8 x 6 x ? = 144 = 144/48 = 3, which is the answer.

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 7

The following question has four statements of three segments each. Choose the alternative where the third segment in the statement can be deduced using both the preceding two but not just from one of them.

A. Sonia is an actress. Some actresses are pretty. Sonia is pretty.

B. All actors are pretty. Manoj is not an actor. Manoj is not pretty

C. Some men are cops. Some men are brave. Some brave people are cops.

D. All cops are brave. Some men are cops. Some men are brave.

Detailed Solution: Question 7

Statements: All cops are brave

Some men are cops

Conclusion: Some men are brave (True)

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 8

Directions: The second figure in the first part of the problem figures bears a certain relationship to the first figure. Similarly, one of the figures in answer figures bears the same relationship to the first figure in the second part of the problem figures. You have to select the figure from the set of answer figures (a, b, c and d) which would replace the sign of the question mark (?).

Detailed Solution: Question 8

The pentagon is inverted and the shaded figure adjacent to it comes inside the pentagon with the upper half shaded.

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

One of the four words given in the four options does not fit the set of words. The odd word from the group is

Detailed Solution: Question 9

  • Coal: A fossil fuel primarily used for energy and heating.
  • Humus: Organic matter in soil, crucial for fertility.
  • Loam: A soil mixture of sand, silt, and clay, ideal for growing plants.
  • Clay: A type of soil with fine particles, retains moisture well.
  • Odd Word: Coal, as it is not a type of soil.

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 10

Find the missing set of letters in the following series.

BAD, DAB, CAE, EAC, _____

Detailed Solution: Question 10

BAD, DAB, CAE, EAC, ...

The middle letter is same in all the options, so no need to check for middle letter.

First-letter series: B, D, C, E

B, B + 2, D - 1, C + 2, E - 1

B, D, C, E, D

The first letter must be D.

Third-letter series: D, B, E, C

D, D - 2, B + 3, E - 2, C + 3

D, B, E, C, F

Hence, the required combination of letters is DAF.

*Answer can only contain numeric values
GATE Mock Test Mechanical Engineering (ME) - 1 - Question 11

A radiator has a cooling pipe of diameter 40 mm and negligible thickness. Fins are attached on the outer surface of the pipe in order to increase the heat transfer surface area on the air side. The heat transfer coefficient on inner and outer surfaces are 2000 W/m2K and 150 W/m2K respectively. If the effective surface area on the finned side is 12 times the inner surface area, the overall heat transfer coefficient of this heat exchanger based on inside surface area (in W/m2K) is_________.


Detailed Solution: Question 11

Given hi= 2000 W/m2K

ho = 150 W/m2K

Ai = inside surface area

Ao = outside surface area = 12Ai

1/ui = 0.0005 + 5.556 x 10-4

⇒ ui = 947.37 W/m2K

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 12

If f(x) = |x|, then

Detailed Solution: Question 12

We have,

f(x) is continuous and differentiable for all x, except zero. We have to check at x = 0.

Left hand limit of f(x) at x → 0,

Right hand limit of f(x) at x → 0,

Value of f(x) at x = 0,

f(x)x = 0 = 0

Thus, f(x) is continuous at x = 0.

Now, check the differentiability.

Left hand derivative:

Right hand derivative:

Since Lf'(x) ≠ Rf'(x), f(x) is not differentiable at x = 0.

Hence, it is not differentiable for all real values of x

*Answer can only contain numeric values
GATE Mock Test Mechanical Engineering (ME) - 1 - Question 13

The ratio of press force required to punch a circular hole of 30 mm diameter in a 1 mm thick sheet to that needed to punch a circular hole of 60 mm diameter in a 2 mm thick steel sheet is_________ . (Rounded to two decimal places)


Detailed Solution: Question 13

Ratio of force = F1max/F2max = 0.25

= 0.25

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 14

Given that u = exyz.

3u/∂x∂y∂z is equal to

Detailed Solution: Question 14

We have u = exyz

∂u/∂x = exyz.yz

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 15

In a numerical control machining operation, the tool has to be moved from point (5,4) to point (7,2) along a circular path with center at (5,2). Before starting the operation, the tool is at (5,4). The correct G and M code for this motion is

Detailed Solution: Question 15

Based on given data, to produce arc from point (5,4) to point (7,2) with center (5,2), the tool has to move in the clockwise direction. Hence G02 is used.

*Answer can only contain numeric values
GATE Mock Test Mechanical Engineering (ME) - 1 - Question 16

Ball bearings are rated by a manufacturer for a life of 106 revolutions. The catalogue rating of a particular bearing is 16 kN. If the design load is 2 kN, the life of the bearing will be p x 106 revolutions, where p is equal to _____. (Answer up to the nearest integer)


Detailed Solution: Question 16

Given that

Catalogue Rating = 16 kN

Design load = 2 kN

We have to find the life of bearing = ?

We know that

L = (C/F)q million revolution

Where C = Dynamic load capacity

F = Equivalent dynamic load

q = 3 For ball bearing

So C = 16 kN, F= 2 kN

L = [16/2]3 = [8]3 = 512 million revolution

Life of bearing = p X 106 revolution

= 512 X 106 revolution

So p = 512

*Answer can only contain numeric values
GATE Mock Test Mechanical Engineering (ME) - 1 - Question 17

A certain water heater operates under steady flow conditions, receiving 4.2 kg/s of water at 75°C temperature and an enthalpy of 313.93 kJ/kg. Water is heated by mixing with steam, which is supplied to a heater at a temperature of 100.2°C and an enthalpy of 2676 kJ/kg. The mixture leaves the heater as liquid water at a temperature of 100°C and an enthalpy of 419 kJ/kg. Then, the mass flow rate of steam to heater (in kg/s) is___________.

Assume it is a steady process and no KE and PE. No heat loss to surroundings.


Detailed Solution: Question 17

This is an adiabatic mixing streams, the steady flow energy

equation is

*Answer can only contain numeric values
GATE Mock Test Mechanical Engineering (ME) - 1 - Question 18

If the Poisson's ratio of an elastic material is 0.4, the ratio of modulus of rigidity to Young's modulus is _______.

(Rounded off to three decimal places)


Detailed Solution: Question 18

Given that for an elastic material poisson's ratio (μ) is 0.4

We know that

E = 2G(1 + μ)

Where

E = Young’s modulus

G = Modulus of rigidity

So

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 19

In a class, 40% students study Mathematics, 25% study Chemistry and 15% study both the subjects. A student is chosen at random. The probability that he studies Mathematics, if it is known that he studies Chemistry, is

Detailed Solution: Question 19

Given,
P(M) = 40/100 = 2/5
P(C) = 25/100 = 1/4
P(M ∩ C) = 15/100 = 3/20
P(M/C) = P(M ∩ C)/P(C) = {3/20}/{1/4} = 3/5

*Answer can only contain numeric values
GATE Mock Test Mechanical Engineering (ME) - 1 - Question 20

A thin gas cylinder with an internal radius of 100 mm is subject to an internal pressure of 10 MPa. The maximum permissible working stress is restricted to 100 MPa. The minimum cylinder wall thickness (in mm) for safe design must be _____. (Answer to the nearest integer)


Detailed Solution: Question 20

In thin cylinder circumferential stress is greater than longitudinal stress_ So minimum cylinder wall thickness for safe design must be calculated from circumferential stress i.e. σ = Pr/t

So t = Pr/σ

Given that,

Internal radius (r) = 100 mm

Internal pressure (P) = l0 MPa

Max permissible working stress

t = 10 mm

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 21

The velocity of water (before mixing with abrasives) at the orifice of the abrasive water jet machining head is 900 m/s. After complete mixing with the abrasive, the velocity of the water abrasive jet is 787.6 m/s. Discharge coefficients considered to be unity. If the water mass flow rate is 2.8 kg/mm by considering velocity of abrasives at entry as 0, the abrasive mass flow rate is nearest to (in kg /min) is

Detailed Solution: Question 21

Given Vw = 900 m/s, V = 787.6 m/s, mw = 2.8 kg/min

∴ maVa + mwVw = V (mw + ma)

mw X Vw = V(mw + ma)

(∵ Va = 0, negligible velocity)

2.8 x 900 = 787.6(2.8 + ma)

⇒ ma = 0.399

≅0.4 kg/min

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 22

Match List I (Fluid properties) with List II (Relate terms) and select the correct answer using the codes given below the lists:

Detailed Solution: Question 22

Capillary action occurs because water molecules bond each other strongly due to forces of cohesion and adhesion where water molecules are attracted and stick to other substances such as glass or paper. Adhesion of water to the surface of a material will cause an upward force on the liquid. The surface tension acts to hold the surface intact. Capillary action occurs when the adhesion to the surface material is stronger than the cohesive forces between the water molecules. The height to which capillary action will take water is limited by surface tension and gravity.

Cavitation may occur when local static pressure in a fluid reach a level below the vapor pressure of the liquid at the actual temperature. According the Bernoulli Equation this may happen when a fluid accelerates in a control valve or around a pump impeller.

For fluids the shear stress, τ is a function of the rate of strain dγ/dt. The property of a fluid to resist the growth of shear deformation is called viscosity.

Specific gravity is the ratio of the density of a substance to the density of a reference substance.

Hence,

Capillarity → Surface tension

Vapour pressure → Cavitation

Viscosity → Shear stress

Specific gravity → Density of water

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 23

If a complex number

then ।z। would be

Detailed Solution: Question 23

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 24

The _______ number is a significant dimensionless parameter for forced parameter convection and the _______ number is a significant dimensionless parameter for natural convection.

Detailed Solution: Question 24

The Reynolds number is a significant dimensionless parameter for forced parameter convection and the Grashof number is a significant dimensionless parameter of natural convection. Reynolds number is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent. The Grashof number (Gr) is a dimensionless number in fluid dynamics and heat transfer which approximates the ratio of the buoyancy to viscous force acting on a fluid. It frequently arises in the study of situations involving natural convection and is analogous to the Reynolds number.

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 25

If the eigen values of a 4 x 4 matrix A are 2, 4, 7, -3 then the rank of a matrix A is

Detailed Solution: Question 25

Given that the eigen values of A are 2, 4, 7, -3

⇒ all the eigen values of A are non-zero number but we know that

IAI = product of eigen values of A

⇒ IAI = (2)(4)(7)(-3) ≠ 0

⇒ IAI ≠ 0

∴ The rank of a matrix A4x4 is 4, ( since if IAnxnI ≠ 0 then ρ(Anxn) = n)

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 26

To reduce consumption of synthetic resins, the ingredient to be added is

Detailed Solution: Question 26

To reduce the consumption of synthetic resins, the ingredient to be added is filler. Owing to their low cost, fillers are important in reducing the overall cost of polymers. Fillers may also improve the strength, hardness, toughness, abrasive resistance, dimensional stability, etc.

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 27

Detailed Solution: Question 27

GATE Mock Test Mechanical Engineering (ME) - 1 - Question 28

Major operations in the manufacture of steel balls used for ball bearings are given below:

Oil lapping

  • Cold heading

  • Annealing

  • Hardening

  • Rough grinding

    The correct sequence of these operations is

    Detailed Solution: Question 28

    The correct sequence of these operations is

    1. Cold heading

    2. Annealing

    3. Hardening

    4. Rough grinding

    5. Oil lapping

    *Answer can only contain numeric values
    GATE Mock Test Mechanical Engineering (ME) - 1 - Question 29

    In this view factor matrix shown below, the sum of missing element is ______________.

    View factor matrix for 3 surfaces =

    (Matrix represent the view factor between 3 surfaces)


    Detailed Solution: Question 29

    View factor matrix =

    Sum of rows are equal to 1,ΣFin = 1

    ⇒x1+0.4+ 0.25 = 1

    ∴ x1 = 0.35

    ⇒ 0.3 + x2 + 0.6 = 1

    ∴ x2 = 0.1

    ⇒ 0.8 + 0.05 +x3 = 1

    ∴ x3 = 0.15

    ⇒ x1 + x2 + x3 = 0.6

    GATE Mock Test Mechanical Engineering (ME) - 1 - Question 30

    Carburised machine components have higher endurance limit, because carburisation

    Detailed Solution: Question 30

    Carburising or Carburisation is a heat treatment process by which carbon is introduced into a metal.

    Carburisation can be used to increase the surface hardness of low carbon steal. Owing to carburisation, a compressive layer is produced on the surface which increases the hardness of the metal.

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