Electronics & Communication Gate Yearwise 

Electronics and Communication Gate 2014 Set-3 Questions with Answer

Ques 40 GATE 2014 SET-3

The maximum value of f(x) = 2x3 − 9x2 + 12x − 3 in the interval 0 ≤ x ≤ 3 is _______.


(6) is the correct answer.

Ques 41 GATE 2014 SET-3

Which one of the following statements is NOT true for a square matrix A?

A

If A is upper triangular, the eigenvalues of A are the diagonal elements of it

B

If A is real symmetric, the eigenvalues of A are always real and positive

C

If A is real, the eigenvalues of A and AT are always the same

D

If all the principal minors of A are positive, all the eigenvalues of A are also positive


(b) is the correct answer.

Ques 42 GATE 2014 SET-3

A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is ______.


(3) is the correct answer.

Ques 43 GATE 2014 SET-3

Let X1, X2, and X3 be independent and identically distributed random variables with the uniform distribution on [0, 1]. The probability P{X1 + X2 ≤ X3} is ________.


(0.17) is the correct answer.

Ques 44 GATE 2014 SET-3

"India is a country of rich heritage and cultural diversity."
Which one of the following facts best supports the claim made in the above sentence?

A

India is a union of 28 states and 7 union territories.

B

India has a population of over 1.1 billion.

C

India is home to 22 official languages and thousands of dialects.

D

The Indian cricket team draws players from over ten states.


(c) is the correct answer.

Ques 45 GATE 2014 SET-3

The value of one U.S. dollar is 65 Indian Rupees today, compared to 60 last year. The Indian Rupee has ____________.

A

depressed

B

depreciated

C

appreciated

D

stabilized


(b) is the correct answer.

Ques 46 GATE 2014 SET-3

'Advice' is ________________.

A

a verb

B

a noun

C

an adjective

D

both a verb and a noun


(b) is the correct answer.

Ques 47 GATE 2014 SET-3

The next term in the series 81, 54, 36, 24, … is ________


(16) is the correct answer.

Ques 48 GATE 2014 SET-3

In which of the following options will the expression P < M be definitely true?

A

M < R > P > S

B

M > S < P < F

C

Q < M < F = P

D

P = A < R < M


(d) is the correct answer.

Ques 49 GATE 2014 SET-3

Find the next term in the sequence: 7G, 11K, 13M, ___

A

15Q

B

17Q

C

15P

D

17P


(17q) is the correct answer.

Ques 50 GATE 2014 SET-3

The multi-level hierarchical pie chart shows the population of animals in a reserve forest. The correct conclusions from this information are:


(i) Butterflies are birds
(ii) There are more tigers in this forest than red ants
(iii) All reptiles in this forest are either snakes or crocodiles
(iv) Elephants are the largest mammals in this forest

A

(i) and (ii) only

B

(i), (ii), (iii) and (iv)

C

(i), (iii) and (iv) only

D

(i), (ii) and (iii) only


((i), (ii) and (iii) only) is the correct answer.

Ques 51 GATE 2014 SET-3

A man can row at 8 km per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in km per hour.


(4) is the correct answer.

Ques 52 GATE 2014 SET-3

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%. If the company registered a profit of Rs. 10 lakhs in 2012, at what price (in Rs.) was each air purifier sold?


(20000) is the correct answer.

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