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Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - GATE MCQ


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30 Questions MCQ Test - Mechanical Engineering - ME 2016 GATE Paper (Practice Test)

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Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 1

Q. 1 – Q. 5 carry one mark each

Q. Which of the following is CORRECT with respect to grammar and usage? Mount Everest is
______

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 1

Before superlative article ‘the’ has to be used. “One of” the expression should take plural noun and so option ‘C’ and ‘D’ can’t be the answer.

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 2

The policeman asked the victim of a theft, “What did you __________ ?”

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 2

‘lose’ is verb

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Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 3

Despite the new medicine’s ______in treating diabetes, it is not ________ widely

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 3

‘effectiveness’ is noun and ‘prescribed’ is verb. These words are apt and befitting with the word ‘medicine’.

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 4

Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place?

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 5

Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7km away from where I live Arun is farther away than Ahmed but closer than susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place?

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 5

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 6

Q. 6 – Q. 10 carry two marks each.

Q. A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease?

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 6

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 7

In a world filled with uncertainty he was glad to have many good friends. He had always assisted them in times of need and was confident that they would reciprocate. However, the events of the last week proved him wrong?
Which of the following inference (s) is/are logically valid and can be inferred from the above passage?
(i) His friends were always asking him to help them
(ii) He felt that when in need of help, his friends would let him down
(iii) He was sure that his friends would help him when in need
(iv) His friends did not help him last week

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 7

The words ‘was confident that they would reciprocate’ and ‘last week proved him wrong’ lead to statements iii and iv as logically valid inferences.

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 8

Leela is older than her cousin Pavithra. Pavithra’s brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins often than Leela does.
Which one of the following statements must be TRUE based on the above?

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 8

From given data, the following arrangement is possible
Shiva
Leela
Pavithra
Among four alternatives, option D is TRUE.

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 9

the value of abc is______

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 9

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 10

P,Q,R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working along for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project?

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 10

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 11

Q. 11 – Q. 35 carry one mark each:

Q. The solution to the system of equations is

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 11

x = 6, y = –2 is the solution of equation

2x+5y = 2 and –4x + 3y = –30

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 12

If f(t) is a function defined for all t > 0, its laplace transform F(s) is defined as

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 12

By the definition of Laplace transform of f(t)  , we have

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 13

f(z) = u(x,y) + i v(x,y) is an analytic function of complex variable z = x + iy where i = . If u(x,y) = 2 xy, then v(x,y) may be expressed as 

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 13

Given u =2xy, v = ?
The Cauchy-Riemann equation
ux = vy & vx = – uy are satisfying with option (a) –x2+ y2 + constant
V(x,y) = –x2 + y+ constant

 

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 14

Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is μ. The standard deviation for this distribution is given by

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 14

For Poisson distribution mean = variance
given mean = μ
variance = μ
 standard deviation =

*Answer can only contain numeric values
Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 15

Solve the equation x = 10 cos (x) using the Newton-Raphson method. The initial guess is x = π/4.
The value of the predicted root after the first iteration, up to second decimal, is __________.

(Important - Enter only the numerical value in the answer)


Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 15

 

*Answer can only contain numeric values
Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 16

A rigid ball of weight 100 N is suspended with the help of a string. The ball is pulled by a horizontal force F such that the string makes an angle of 30? with the vertical. The magnitude of force F (in N) is _____


Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 16

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 17

A point mass M is released from rest and slides down a spherical bowl (of radius R ) from a height H as shown in the figure below. The surface of the bowl is smooth (no friction). The velocity of the mass at the bottom of the bowl is

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 17

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 18

The cross sections of two hollow bars made of the same material are concentric circles as shown in the figure. It is given that r3 > r1 and r4 > r2, and that the areas of the cross-sections are the same. J1 and J2 are the torsional rigidities of the bars on the left and right, respectively. The ratio J2/J1 is

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 18

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 19

A cantilever beam having square cross-section of side a is subjected to an end load. If a is increased by 19%, the tip deflection decreases approximately by

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 19

*Answer can only contain numeric values
Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 20

A car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car. The combined moment of inertia of the rotating masses is 10 kg-m2. The magnitude of the gyroscopic moment (in N-m) is_____


Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 20

*Answer can only contain numeric values
Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 21

A single degree of freedom spring mass system with viscous damping has a spring constant of 10 kN/m. The system is excited by a sinusoidal force of amplitude 100 N. If the damping factor (ratio) is 0.25, the amplitude of steady state oscillation at resonance is ________mm


Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 21

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 22

The spring constant of a helical compression spring DOES NOT depend on

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 23

The instantaneous stream-wise velocity of a turbulent flow is given as follows:

The time – average of the fluctuating velocity u' (x,y, z, t)

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 23

Time average of fluctuating velocity is zero.

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 24

For a floating body, buoyant force acts at the

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 24

For floating body Buoyancy force acts through the centre of buoyancy which is C.G for displaced volume.

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 25

A plastic sleeve of outer radius ro = 1 mm covers a wire (radius r = 0.5 mm) carrying electric current. Thermal conductivity of the plastic is 0.15 W/m-K. The heat transfer coefficient on the outer surface of the sleeve exposed to air is 25 W/m2-K. Due to the addition of the plastic cover, the heat transfer from the wire to the ambient will

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 25

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 26

Which of the following statements are TRUE with respect to heat and work?
(i) They are boundary phenomena
(ii) They are exact differentials
(iii) They are path functions

*Answer can only contain numeric values
Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 27

Propane (C3H8) is burned in an oxygen atmosphere with 10% deficit oxygen with respect to the stoichiometric requirement. Assuming no hydrocarbons in the products, the volume percentage of CO in the products is ____

(Important -  Enter only the numerical value in the answer)


Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 27

C3H8 + xO2 → aCO2 + bH2O
Carbon balance :
a = 3
hydrogen balance:
2b = 8 → b = 4
Oxygen balance:
2x = 2a + b

For chemically correct or stoichiometric burning, no. of moles of O2 required are = 5.
As it is burnt with 10% deficient oxygen, it will generate CO.
The new equation is
C3H8 + 0.9 x 5O2 → aCO2 + bCO + cH2O
Carbon balance:
a + b = 3
Hydrogen balance:
2c = 8 → c = 4
Oxygen balance:
2a + b + c = 0.9 x 5 x 2 = 9
2a + b + c = 9
⇒ 2a + b + 4 = 9 ⇒ 2a + b = 5 … (1)
a + b = 3 … (2)
By solving (1) & (2)
a = 2 & b = 1
in the exhaust products the no. of moles of CO are 1.% by volume of CO in exhaust.

*Answer can only contain numeric values
Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 28

Consider two hydraulic turbines identical specific speed and effective head at the inlet. If the speed
ratio  of the two turbines is 2, then the respective power ratio   _________.


Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 28

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 29

The INCORRECT statement about regeneration in vapor power cycle is that

Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 30

The “Jominy test” is used to find

Detailed Solution for Mechanical Engineering - ME 2016 GATE Paper (Practice Test) - Question 30

The depth upto which the required hardness is obtained is called as hardenability and it is
determined by using jomney end quench test.

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