Mechanical Engineering Gate 2017 Set-1 Questions with Answer

Ques 14 GATE 2017 SET-1


Consider the two-dimensional velocity field given by V = (5 + a1x + b1y)i + (4 + a2x + b2y)j, where a1, b1, a2 and b2 are constants. Which one of the following conditions needs to be satisfied for the flow to be incompressible?

A

a1 + b1 = 0

B

a1 + b2 = 0

C

a2 + b2 = 0

D

a2 + b1 = 0


(b) is the correct answer.

Ques 15 GATE 2017 SET-1


Water (density = 1000 kg/m3) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of 1 kg/s. If the pressure drop across the pipe is 100 kPa, the minimum power required to pump the water across the pipe, in watts, is ________.


(100) is the correct answer.

Ques 16 GATE 2017 SET-1


Which one of the following is NOT a rotating machine?

A

Centrifugal pump

B

Gear pump

C

Jet pump

D

Vane pump


(c) is the correct answer.

Ques 17 GATE 2017 SET-1


The velocity profile inside the boundary layer for flow over a flat plate is given as u/U = sin(πy / 2δ), where U is the free stream velocity and δ is the local boundary layer thickness. If δ* is the local displacement thickness, the value of δ*/δ is

A

2/π

B

1 - 2/π

C

1 + 2/π

D

0


(b) is the correct answer.

Ques 18 GATE 2017 SET-1


Consider steady flow of an incompressible fluid through two long and straight pipes of diameters d1 and d2 arranged in series. Both pipes are of equal length and the flow is turbulent in both pipes. The friction factor for turbulent flow though pipes is of the form, f = K(Re)-n, where K and n are known positive constants and Re is the Reynolds number. Neglecting minor losses, the ratio of the frictional pressure drop in pipe 1 to that in pipe 2, (ΔP1/ΔP2), is given by

A

(d2/d1)(5-n)

B

(d2/d1)5

C

(d2/d1)(3-n)

D

(d2/d1)(5+n)


(a) is the correct answer.

Ques 19 GATE 2017 SET-1


For a steady flow, the velocity field is V = (-x2 + 3y)i + (2xy)j. The magnitude of the acceleration of a particle at (1,-1) is

A

2

B

1

C

2√5

D

0


(c) is the correct answer.

Ques 20 GATE 2017 SET-1


He was one of my best ________ and I felt his loss ________.

A

friend, keenly

B

friends, keen

C

friend, keener

D

friends, keenly


(d) is the correct answer.

Ques 21 GATE 2017 SET-1


As the two speakers became increasingly agitated, the debate became ________.

A

lukewarm

B

poetic

C

forgiving

D

heated


(d) is the correct answer.

Ques 22 GATE 2017 SET-1


A right-angled cone (with base radius 5 cm and height 12 cm), as shown in the figure, is rolled on the ground keeping the point P fixed until the point Q (at the base of the cone, as shown) touches the ground again. By what angle (in radians) about P does the cone travel?

A

5π/12

B

5π/24

C

24π/5

D

10π/13


(d) is the correct answer.

Ques 23 GATE 2017 SET-1


In a company with 100 employees, 45 earn Rs. 20,000 per month, 25 earn Rs. 30,000, 20 earn Rs. 40,000, 8 earn Rs. 60,000, and 2 earn Rs. 150,000. The median of the salaries is

A

Rs. 20,000

B

Rs. 30,000

C

Rs. 32,300

D

Rs. 40,000


(b) is the correct answer.

Ques 24 GATE 2017 SET-1


P, Q, and R talk about S's car collection. P states that S has at least 3 cars. Q believes that S has less than 3 cars. R indicates that to his knowledge, S has at least one car. Only one of P, Q and R is right. The number of cars owned by S is

A

0

B

1

C

3

D

Cannot be determined


(a) is the correct answer.

Ques 25 GATE 2017 SET-1


"Here, throughout the early 1820s, Stuart continued to fight his losing battle to allow his sepoys to wear their caste-marks and their own choice of facial hair on parade, being again reprimanded by the commander-in-chief. His retort that 'A stronger instance than this of European prejudice with relation to this country has never come under my observations' had no effect on his superiors."

According to this paragraph, which of the statements below is most accurate?

A

Stuart's commander-in-chief was moved by this demonstration of his prejudice.

B

The Europeans were accommodating of the sepoys' desire to wear their caste-marks.

C

Stuart's 'losing battle' refers to his inability to succeed in enabling sepoys to wear caste-marks.

D

The commander-in-chief was exempt from the European prejudice that dictated how the sepoys were to dress.


(c) is the correct answer.

Ques 26 GATE 2017 SET-1


What is the sum of the missing digits in the subtraction problem below?<

A

8

B

10

C

11

D

Cannot be determined


(d) is the correct answer.

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