Electronics and Communication Gate 2017 Set-2 Questions with Answer

Ques 40 GATE 2017 SET-2


The values of the integrals ∫01(∫01(x-y)/(x+y)3dy)dx and ∫01(∫01(x-y)/(x+y)3dx)dy are

A

same and equal to 0.5

B

same and equal to - 0.5

C

0.5 and 0.5, respectively

D

0.5 and 0.5, respectively


(c) is the correct answer.

Ques 41 GATE 2017 SET-2


An integral I over a counterclockwise circle C is given by
I=∮C(z2-1)/(z2+1)ezdz.
If C is defined as |z|=3, then the value of I is

A

-πi sin(1)

B

-2πi sin(1)

C

-3πi sin(1)

D

-4πi sin(1)


(d) is the correct answer.

Ques 42 GATE 2017 SET-2


If the vector function
F=âx(3y-k1z)+ây(k2x-2z)-âz(k3y+z)
is irrotational, then the values of the constants k1, k2 and k3, respectively, are

A

0.3, 2.5, 0.5

B

0.0, 3.0, 2.0

C

0.3, 0.33, 0.5

D

4.0, 3.0, 2.0


(b) is the correct answer.

Ques 43 GATE 2017 SET-2


The minimum value of the function f(x)=1/3x(x2-3) in the interval -100≤x≤100 occurs at x =


(-100) is the correct answer.

Ques 44 GATE 2017 SET-2


The ninth and the tenth of this month are Monday and Tuesday...

A

figuratively

B

retrospectively

C

respectively

D

rightfully


(c) is the correct answer.

Ques 45 GATE 2017 SET-2


It is ________ to read this year's textbook _________ the last year's. The words that best fill the blanks in the above sentence are

A

easier, than

B

most easy, than

C

easier, from

D

easiest, from


(a) is the correct answer.

Ques 46 GATE 2017 SET-2


A rule states that in order to drink beer, one must be over 18 years old. In a bar, there are 4 people. P is 16 years old, Q is 25 years old. R is drinking milkshake and S is drinking a beer. What must be checked to ensure that the rule is being followed?

A

Only P's drink

B

Only P's drink and S's age

C

Only S's age

D

Only P's drink. Q's drink and S's age


(b) is the correct answer.

Ques 47 GATE 2017 SET-2


Fatima starts from point P. goes North for 3 km, and then East for 4 km to reach point Q. She then turns to face point P and goes 15 km in that direction. She then goes North for 6 km. How far is she from point P. and in which direction should she go to reach point P?

A

8 km. East

B

12 km. North

C

6 km. East

D

10 km, North


(a) is the correct answer.

Ques 48 GATE 2017 SET-2


500 students are taking one or more courses out of Chemistry. Physics, and Mathematics. Registration records indicate course enrolment as follows: Chemistry (329). Physics (186). Mathematics (295). Chemistry and Physics (83), Chemistry and Mathematics (217), and Physics and Mathematics (63). How many students are taking all 3 subjects?

A

37

B

43

C

47

D

53


(d) is the correct answer.

Ques 49 GATE 2017 SET-2


"If you are looking for a history of India, or for an account of the rise and fall of the British Raj. or for the reason of the cleaving of the subcontinent into two mutually antagonistic parts and the effects this mutilation will have in the respective sections, and ultimately on Asia. you will not find it in these pages: for though I have spent a lifetime in the country. I lived too near the seat of events, and was too intimately associated with the actors, to get the perspective needed for the impartial recording of these matters."
Which of the following statements best reflects the author's opinion?

A

An intimate association does not allow for the necessary perspective.

B

Matters are recorded with an impartial perspective.

C

An intimate association offers an impartial perspective.

D

Actors are typically associated with the impartial recording of matters.


(a) is the correct answer.

Ques 50 GATE 2017 SET-2


Each of P. Q. R. S. W. X. Y and Z has been married at most once. X and Y are married and have two children P and Q. Z is the grandfather of the daughter S of P. Further. Z and W are married and are parents of R. Which one of the following must necessarily be FALSE?

A

X is the mother-in-law of R

B

P and R are not married to each other

C

P is a son of X and Y

D

Q cannot be married to R


(d) is the correct answer.

Ques 51 GATE 2017 SET-2


1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?

A

3000

B

3300

C

3600

D

3900


(c) is the correct answer.

Ques 52 GATE 2017 SET-2


The number of 3-digit numbers such that the digit 1 is never to the immediate right of 2 is

A

781

B

791

C

881

D

891


(c) is the correct answer.

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