Mechanical Engineering Gate 2016 Set-1 Questions with Answer

Ques 14 GATE 2016 SET-1


A two-member truss PQR is supporting a load W. The axial forces in members PQ and QR are respectively

A

2W tensile and √3W compressive

B

√3W tensile and 2W compressive

C

√3W compressive and 2W tensile

D

2W compressive and √3W tensile


(b) is the correct answer.

Ques 15 GATE 2016 SET-1


The instantaneous stream-wise velocity of a turbulent flow is given as follows:
u(x,y,z,t) = ū(x,y,z) + u'(x,y,z,t).
The time-average of the fluctuating velocity u'(x,y,z,t) is

A

u'/2

B

-ū/2

C

zero

D

ū/2


(c) is the correct answer.

Ques 16 GATE 2016 SET-1


For a floating body, buoyant force acts at the

A

centroid of the floating body

B

center of gravity of the body

C

centroid of the fluid vertically below the body

D

centroid of the displaced fluid


(d) is the correct answer.

Ques 17 GATE 2016 SET-1


Consider two hydraulic turbines having identical specific speed and effective head at the inlet. If the speed ratio (N1/N2) of the two turbines is 2, then the respective power ratio (P1/P2) is ________.


(0.25) is the correct answer.

Ques 18 GATE 2016 SET-1


An inverted U-tube manometer is used to measure the pressure difference between two pipes A and B, as shown in the figure. Pipe A is carrying oil (specific gravity = 0.8) and pipe B is carrying water. The densities of air and water are 1.16 kg/m3 and 1000 kg/m3, respectively. The pressure difference between pipes A and B is ________ kPa. Acceleration due to gravity g = 10 m/s2.


(-2.2) is the correct answer.

Ques 19 GATE 2016 SET-1


Oil (kinematic viscosity, νoil = 1.0x10-5 m2/s) flows through a pipe of 0.5 m diameter with a velocity of 10 m/s. Water (kinematic viscosity, νw = 0.89x10-6 m2/s) is flowing through a model pipe of diameter 20 mm. For satisfying the dynamic similarity, the velocity of water (in m/s) is ________.


(22.25) is the correct answer.

Ques 20 GATE 2016 SET-1


A steady laminar boundary layer is formed over a flat plate as shown in the figure. The free stream velocity of the fluid is Uo. The velocity profile at the inlet a-b is uniform, while that at a downstream location c-d is given by u = Uo[2(y/δ) - (y/δ)2].

The ratio of the mass flow rate, ṁbd, leaving through the horizontal section b-d to that entering through the vertical section a-b is ________.


(0.33) is the correct answer.

Ques 21 GATE 2016 SET-1


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 alone 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?

A

10:11

B

11:10

C

20:21

D

21:20


(c) is the correct answer.

Ques 22 GATE 2016 SET-1


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

A

the highest peak in the world

B

highest peak in the world

C

one of highest peak in the world

D

one of the highest peak in the world


(a) is the correct answer.

Ques 23 GATE 2016 SET-1


The policeman asked the victim of a theft, "What did you ________?"

A

loose

B

lose

C

loss

D

louse


(b) is the correct answer.

Ques 24 GATE 2016 SET-1


Despite the new medicine's ________ in treating diabetes, it is not ________ widely.

A

effectiveness --- prescribed

B

availability --- used

C

prescription --- available

D

acceptance --- proscribed


(a) is the correct answer.

Ques 25 GATE 2016 SET-1


In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe ones, 66% are oranges. If the pile contains a total of 5692000 fruits, how many of them are apples?

A

2029198

B

2467482

C

2789080

D

3577422


(a) is the correct answer.

Ques 26 GATE 2016 SET-1


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?

A

3.00

B

4.99

C

6.02

D

7.01


(c) is the correct answer.

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