Mechanical Engineering Gate 2016 Set-3 Questions with Answer

Ques 14 GATE 2016 SET-3


For a certain two-dimensional incompressible flow, velocity field is given by 2xy i - y2 j. The streamlines for this flow are given by the family of curves

A

x2y2 = constant

B

xy2 = constant

C

2xy - y2 = constant

D

xy = constant


(b) is the correct answer.

Ques 15 GATE 2016 SET-3


The blade and fluid velocities for an axial turbine are as shown in the figure. The magnitude of absolute velocity at entry is 300 m/s at an angle of 65° to the axial direction, while the magnitude of the absolute velocity at exit is 150 m/s. The exit velocity vector has a component in the downward direction. Given that the axial (horizontal) velocity is the same at entry and exit, the specific work (in kJ/kg) is ________.


(52) is the correct answer.

Ques 16 GATE 2016 SET-3


Based on the given statements, select the appropriate option with respect to grammar and usage.
Statements
(i) The height of Mr. X is 6 feet.
(ii) The height of Mr. Y is 5 feet.

A

Mr. X is longer than Mr. Y.

B

Mr. X is more elongated than Mr. Y.

C

Mr. X is taller than Mr. Y.

D

Mr. X is lengthier than Mr. Y.


(c) is the correct answer.

Ques 17 GATE 2016 SET-3


The students ________ the teacher on teachers' day for twenty years of dedicated teaching.

A

facilitated

B

felicitated

C

fantasized

D

facillitated


(b) is the correct answer.

Ques 18 GATE 2016 SET-3


After India's cricket world cup victory in 1985, Shrotria who was playing both tennis and cricket till then, decided to concentrate only on cricket. And the rest is history.
What does the underlined phrase mean in this context?

A

history will rest in peace

B

rest is recorded in history books

C

rest is well known

D

rest is archaic


(c) is the correct answer.

Ques 19 GATE 2016 SET-3


Given (9 inches)1/2 = (0.25 yards)1/2, which one of the following statements is TRUE?

A

3 inches = 0.5 yards

B

9 inches = 1.5 yards

C

9 inches = 0.25 yards

D

81 inches = 0.0625 yards


(c) is the correct answer.

Ques 20 GATE 2016 SET-3


S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?

A

1:1

B

1:2

C

1:4

D

2:1


(b) is the correct answer.

Ques 21 GATE 2016 SET-3


The Venn diagram shows the preference of the student population for leisure activities. From the data given, the number of students who like to read books or play sports is

A

44

B

51

C

79

D

108


(d) is the correct answer.

Ques 22 GATE 2016 SET-3


Social science disciplines were in existence in an amorphous form until the colonial period when they were institutionalized. In varying degrees, they were intended to further the colonial interest. In the time of globalization and the economic rise of postcolonial countries like India, conventional ways of knowledge production have become obsolete.
Which of the following can be logically inferred from the above statements?
(i) Social science disciplines have become obsolete.
(ii) Social science disciplines had a pre-colonial origin.
(iii) Social science disciplines always promote colonialism.
(iv) Social science must maintain disciplinary boundaries.

A

(ii) only

B

(i) and (iii) only

C

(ii) and (iv) only

D

(iii) and (iv) only


(a) is the correct answer.

Ques 23 GATE 2016 SET-3


Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without number markings seemed to show 1:30. What is the actual current time shown by the clock?

A

8:15

B

11:15

C

12:15

D

12:45


(d) is the correct answer.

Ques 24 GATE 2016 SET-3


M and N start from the same location. M travels 10 km East and then 10 km North-East. N travels 5 km South and then 4 km South-East. What is the shortest distance (in km) between M and N at the end of their travel?

A

18.60

B

22.50

C

20.61

D

25.00


(c) is the correct answer.

Ques 25 GATE 2016 SET-3


A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1:2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?

A

30

B

40

C

120

D

180


(b) is the correct answer.

Ques 26 GATE 2016 SET-3


Steady one-dimensional heat conduction takes place across the faces 1 and 3 of a composite slab consisting of slabs A and B in perfect contact as shown in the figure, where kA, kB denote the respective thermal conductivities. Using the data as given in the figure, the interface temperature T2 (in °C) is ________.


(67.5) is the correct answer.

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