Electronics & Communication Gate Yearwise 

Electronics and Communication Gate 2014 Set-4 Questions with Answer

Ques 40 GATE 2014 SET-4

Parcels from sender S to receiver R pass sequentially through two post-offices. Each post-office has a probability 1/5 of losing an incoming parcel, independently of all other parcels. Given that a parcel is lost, the probability that it was lost by the second post-office is_________.


(0.44) is the correct answer.

Ques 41 GATE 2014 SET-4

The unilateral Laplace transform of f(t) is 1/(s2+s+1). Which one of the following is the unilateral Laplace transform of g(t) = t·f(t)?

A

−s/(s2+s+1)2

B

−(2s+1)/(s2+s+1)2

C

s/(s2+s+1)2

D

(2s+1)/(s2+s+1)2


(b) is the correct answer.

Ques 42 GATE 2014 SET-4

For a right angled triangle, if the sum of the lengths of the hypotenuse and a side is kept constant, in order to have maximum area of the triangle, the angle between the hypotenuse and the side is

A

12°

B

36°

C

60°

D

45°


(c) is the correct answer.

Ques 43 GATE 2014 SET-4

Which of the following options is the closest in meaning to the word underlined in the sentence below?
In a democracy, everybody has the freedom to disagree with the government.

A

dissent

B

descent

C

decent

D

decadent


(a) is the correct answer.

Ques 44 GATE 2014 SET-4

After the discussion, Tom said to me, "Please revert!". He expects me to _________.

A

retract

B

get back to him

C

move in reverse

D

retreat


(b) is the correct answer.

Ques 45 GATE 2014 SET-4

While receiving the award, the scientist said, "I feel vindicated". Which of the following is closest in meaning to the word 'vindicated'?

A

punished

B

substantiated

C

appreciated

D

chastened


(b) is the correct answer.

Ques 46 GATE 2014 SET-4

Let f(x, y) = xnym = P. If x is doubled and y is halved, the new value of f is

A

2n−mP

B

2m−nP

C

2(n − m)P

D

2(m − n)P


(a) is the correct answer.

Ques 47 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 48 GATE 2014 SET-4

Find the next term in the sequence: 13M, 17Q, 19S, ___

A

21W

B

21V

C

23W

D

23V


(c) is the correct answer.

Ques 49 GATE 2014 SET-4

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

A

MCHTX

B

MXHTC

C

XMHCT

D

XMHTC


(d) is the correct answer.

Ques 50 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 51 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 52 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.

Unique Visitor Count

Total Unique Visitors

Loading......

Question Options

Contributed by: