Mechanical Engineering Gate 2014 Set-4 Questions with Answer

Ques 14 GATE 2014 Set-4


In a sequence of 12 consecutive odd numbers, the sum of the first 5 numbers is 425. What is the sum of the last 5 numbers in the sequence?


(495) is the correct answer.

Ques 15 GATE 2014 Set-4


If 'KCLFTSB' stands for 'best of luck' and 'SHSWDG' stands for 'good wishes', which of the following stands for 'ace the exam'?

A

XMHCDF

B

XMHCD

C

XMHCT

D

XMHTC


(c) is the correct answer.

Ques 16 GATE 2014 Set-4


Industrial consumption of power doubled from 2000-2001 to 2010-2011. Find the annual rate of increase in percent assuming it to be uniform over the years.

A

5.6

B

7.2

C

10.0

D

12.2


(b) is the correct answer.

Ques 17 GATE 2014 Set-4


A firm producing air purifiers sold 200 units in 2012. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in 2012. The expenditure on labour in 2012 is Rs. 4,50,000. In 2013, the raw material expenses increased by 30% and all other expenses increased by 20%. What is the percentage increase in total cost for the company in 2013?


(22) is the correct answer.

Ques 18 GATE 2014 Set-4


A five digit number is formed using the digits 1,3,5,7 and 9 without repeating any of them. What is the sum of all such possible five digit numbers?

A

6666660

B

6666600

C

6666666

D

6666606


(b) is the correct answer.

Ques 19 GATE 2014 Set-4


In a statically determinate plane truss, the number of joints (j) and the number of members (m) are related by

A

j=2m-3

B

m=2j+1

C

m=2j-3

D

m=2j-1


(c) is the correct answer.

Ques 20 GATE 2014 Set-4


If the Poisson's ratio of an elastic material is 0.4, the ratio of modulus of rigidity to Young's modulus is ________.


(0.357) is the correct answer.

Ques 21 GATE 2014 Set-4


Which one of the following is used to convert a rotational motion into a translational motion?

A

Bevel gears

B

Double helical gears

C

Worm gears

D

Rack and pinion gears


(d) is the correct answer.

Ques 22 GATE 2014 Set-4


The number of independent elastic constants required to define the stress-strain relationship for an isotropic elastic solid is ________.


(2) is the correct answer.

Ques 23 GATE 2014 Set-4


A point mass is executing simple harmonic motion with an amplitude of 10 mm and frequency of 4 Hz. The maximum acceleration (m/s2) of the mass is ________.


(6.31) is the correct answer.

Ques 24 GATE 2014 Set-4


Ball bearings are rated by a manufacturer for a life of 106 revolutions. The catalogue rating of a particular bearing is 16 kN. If the design load is 2 kN, the life of the bearing will be p×106 revolutions, where p is equal to __________.


(512) is the correct answer.

Ques 25 GATE 2014 Set-4


As the temperature increases, the thermal conductivity of a gas

A

increases

B

decreases

C

remains constant

D

increases up to a certain temperature and then decreases


(a) is the correct answer.

Ques 26 GATE 2014 Set-4


A reversed Carnot cycle refrigerator maintains a temperature of -5°C. The ambient air temperature is 35°C. The heat gained by the refrigerator at a continuous rate is 2.5 kJ/s. The power (in watt) required to pump this heat out continuously is ________.


(373) is the correct answer.

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