# Gate/GATE Mechanical Mcq Sample Test,Sample questions

## Question: A solid disc of radius r rolls without slipping on a horizontal floor with angular velocity Ãâ€° and angular acceleration ÃŽÂ±. The magnitude of the acceleration of the point of contact on the disc is

1.zero

2.rÃŽÂ±

3.âˆš(rÃŽÂ±)2 + (rw2)2

4. rw2

1.0

2.1

3.1.08

4.2.02

1.90.1

2.56.3

3.4.4

4.12.9

1.516 K

2.532 K

3.484 K

4.468 K

## Question: An ideal gas of mass m and temperature T1 undergoes a reversible isothermal process from an initial pressure P1 to final pressure P2. The heat loss during the process is Q. The entropy change Ã¢Ë†â€ S of the gas is

1.mR ln(P2/P1)

2.mR ln(P1/P2)

3.mR ln(P2/P1) - Q/T1

4. zero

1.1

2.2

3.4

4.8

## Question: For an opaque surface, the absorptivity (ÃŽÂ±) , transmissivity (t) and reflectivity (ÃÂ) are related by the equation:

1. ÃŽÂ± + ÃÂ = t

2.ÃŽÂ± + ÃÂ + t = 0

3.ÃŽÂ± + ÃÂ = 1

4. ÃŽÂ± + ÃÂ = 0

1.35.1

2.32.4

3.31.2

4.30.1

## Question: Which one of the following is NOT a decision taken during the aggregate production planning stage?

1.Scheduling of machines

2.Amount of labour to be committed

3. Rate at which production should happen

4.Inventory to be carried forward

## Question: 47. x + 2y + z = 4 2x + y + 2z = 5 x - y + z = 1 The system of algebraic equations given above has

1.a unique solution of x = 1, y = 1 and z = 1

2. only the two solutions of (x = 1, y = 1, z = 1) and (x = 2, y = 1, z = 0).

3.infinite number of solutions.

4.no feasible solution.

1.1/20

2.1/12

3.3/10

4.1/2

1.ML2/2EI

2. ML2/EI

3.2ML2/EI

4.4ML2/EI

1.395

2. 790

3.1580

4.3160

1.120

2.170

3.180

4.240

1. 8 meters

2.10 meters

3.12 meters

4.14 meters

1.67%

2.55%

3.83%

4.71%

1.8

2.16

3.24

4.32

1.0

2.2.07

3.20.7

4.41.4

## Question: A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by Ã¢Ë†â€ T. If the thermal coefficient of the material is ÃŽÂ±, Young's modulus is E and the Poisson's ratio is Ãâ€¦ , the thermal stress developed in the cube due to heating is

1.-[ÃŽÂ±(Ã¢Ë†â€ T)E]/(1 - 2Ãâ€¦)

2.-[2ÃŽÂ±(Ã¢Ë†â€ T)E]/(1 - 2Ãâ€¦)

3.-[3ÃŽÂ±(Ã¢Ë†â€ T)E]/(1 - 2Ãâ€¦)

4.-[ÃŽÂ±(Ã¢Ë†â€ T)E]/3(1 - 2Ãâ€¦)

1.0.288

2.0.334

3.0.667

4.0.720

1.4

2.2

3.0.5

4.0.25

## Question: At x = 0, the function f(x) = x3 + 1 has

1.a maximum value

2. a minimum value

3. a singularity

4.a point of inflection

1.24.83

2.24.89

3. 25.01

4.25.17

## Question: Choose the grammatically INCORRECT sentence:

1.They gave us the money back less the service charges of Three Hundred rupees.

2.This country's expenditure is not less than that of Bangladesh.

3.The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser sum.

4.This country's expenditure on educational reforms is very less.

1.attempts

2.setbacks

3.meetings

4.delegations

## Question: Consider the differential equation x2 d2y/dx2 + x dy/dx - 4y = 0 with the boundary conditions of y(0) = 0 and y(1) = 1. The complete solution of the differential equation is

1.x2

2.sin(Ãâ‚¬x/2)

3.ex sin(Ãâ‚¬x/2).

4.e-x sin(Ãâ‚¬x/2)

## Question: Consider the function f(x) = |x| in the interval -1 Ã¢â€°Â¤ x Ã¢â€°Â¤ 1. At the point x = 0, f(x) is

1.continuous and differentiable

2.non-continuous and differentiable

3.continuous and non-differentiable

4.neither continuous nor differentiable.

## Question: During normalizing process of steel, the specimen is heated

1.between the upper and lower critical temperature and cooled in still air.

2.above the upper critical temperature and cooled in furnace

3.above the upper critical temperature and cooled in still air.

4.between the upper and lower critical temperature and cooled in furnace.

1.OV

2.OW

3.PV

4.PW

1.0.006

2.0.031

3.0.062

4. 0.600

## Question: In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rate

1. increases continuously.

2. decreases continuously.

3.decreases, becomes stable and then increases

4.increases, becomes stable and then decreases.

## Question: Match the following metal forming processes with their associated stresses in the workpiece. Metal forming process Type of stress 1. Coining P. Tensile 2. Wire Drawing Q. Shear 3. Blanking R. Tensile and compressive 4. Deep Drawing S. Compressive

1.1-S, 2-P, 3-Q, 4-R

2.1-S, 2-P, 3-R, 4-Q

3.1-P, 2-Q, 3-S, 4-R

4.1-P, 2-R, 3-Q, 4-S

1.116.18

2.0.116

3.18.22

4. 232.36

1.1/6

2.1/4

3.1/3

4.1/2

1.5

2.10

3.15

4.25

1.1200

2.900

3.875

4.720

## Question: The inverse Laplace transform of the function F(s) = 1/s(s + 1) is given by

1.f (t) = sint

2.f (t) = e-t sint

3. f (t) = e-t

4.f (t) = 1 - e-t

1.40

2.50

3.60

4.100

## Question: Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School-pass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed. Which one of the following is the best inference from the above advertisement?

1.Gender-discriminatory

2.Xenophobic

3.Not designed to make the post attractive

4.Not gender-discriminatory

1.40

2.20

3.10

4.5

1.P, Q

2.Q, R

3.P, D

4. R, S

## Question: Which one of the following configurations has the highest fin effectiveness?

1.Thin, closely spaced fins

2.Thin, widely spaced fins

3. Thick, widely spaced fins

4.Thick, closely spaced fins

1.Diminish

2.Divulge

3.Dedicate

4.Denote

1.Diminish

2.Divulge

3.Dedicate

4.Denote

1.Diminish

2.Divulge

3.Dedicate

4.Denote

1.Diminish

2.Divulge

3.Dedicate

4.Denote

## More MCQS

##### Olete Team
Online Exam TestTop Tutorials are Core Java,Hibernate ,Spring,Sturts.The content on Online Exam Testwebsite is done by expert team not only with the help of books but along with the strong professional knowledge in all context like coding,designing, marketing,etc!