Electronics and Communication Gate 2017 Set-1 Questions with Answer

Ques 40 GATE 2017 SET-1


Starting with x=1, the solution of the equation x3+x=1, after two iterations of Newton-Raphson's method (up to two decimal places) is


(0.68) is the correct answer.

Ques 41 GATE 2017 SET-1


She has a sharp tongue and it can occasionally turn ...

A

hurtful

B

left

C

methodical

D

vital


(a) is the correct answer.

Ques 42 GATE 2017 SET-1


I ... made arrangements had I ... informed earlier. The words that best fill the blanks in the above sentence are

A

could have, been

B

would have being

C

had, have

D

had been, been


(a) is the correct answer.

Ques 43 GATE 2017 SET-1


In the summer, water consumption is known to decrease overall by 25%. A Water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%. Which of the following statements is correct?

A

The ratio of household to other consumption is 8/17

B

The ratio of household to other consumption is 1/17

C

The ratio of household to other consumption is 17/8

D

There are errors in the official's statement.


(d) is the correct answer.

Ques 44 GATE 2017 SET-1


40% of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is

A

120

B

144

C

160

D

212


(b) is the correct answer.

Ques 45 GATE 2017 SET-1


Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences?
i. At least one bench is a table
ii. At least one shelf is a bench
iii. At least one chair is a table
IV. All benches are chairs

A

Only i

B

Only ii

C

Only ii and iii

D

Only iv


(b) is the correct answer.

Ques 46 GATE 2017 SET-1


"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".
Here, the word 'antagonistic' is closest in meaning to

A

impartial

B

argumentative

C

separated

D

hostile


(d) is the correct answer.

Ques 47 GATE 2017 SET-1


S. T. U, V W. X. Y. and Z are seated around a circular table. T's neighbours are Y and V. Z is seated third to the left of T and second to the right of S. U's neighbours are S and Y: and T and W are not seated opposite each other. Who is third to the left of V?

A

X

B

W

C

U

D

T


(a) is the correct answer.

Ques 48 GATE 2017 SET-1


Trucks (10 m long) and cars (5 m long) go on a single lane bridge. There must be a gap of at least 20 m after each truck and a gap of at least 15 m after each car. Trucks and cars travel at a speed of 36 km/h. If cars and trucks go alternately, what is the maximum number of vehicles that can use the bridge in one hour?

A

1440

B

1200

C

720

D

600


(a) is the correct answer.

Ques 49 GATE 2017 SET-1


There are 3 Indians and 3 Chinese in a group of 6 people. How many subgroups of this group can we choose so that every subgroup has at least one Indian?

A

56

B

52

C

48

D

44


(a) is the correct answer.

Ques 50 GATE 2017 SET-1


A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot. The path from P to Q is best described by

A

Up-Down-Up-Down

B

Down-Up-Down-Up

C

Down-Up-Down

D

Up-Down-Up


(c) is the correct answer.

Ques 51 GATE 2017 SET-1


Three fair cubical dice are thrown simultaneously. The probability that all three dice have the same number of dots on the faces showing up is (up to third decimal place)


(0.0277) is the correct answer.

When three fair dice are thrown simultaneously, we need to find the probability that all three show the same number.

A fair die has 6 possible outcomes (1, 2, 3, 4, 5, 6).
When three dice are thrown together, the total number of possible outcomes is:
6 ร— 6 ร— 6 = 216

Now let me count the favorable outcomes where all three dice show the same number:
(1, 1, 1) - all three show 1
(2, 2, 2) - all three show 2
(3, 3, 3) - all three show 3
(4, 4, 4) - all three show 4
(5, 5, 5) - all three show 5
(6, 6, 6) - all three show 6

So there are 6 favorable outcomes.

The probability is calculated as:
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 6/216
Probability = 1/36
Probability = 0.027777...

Rounding to three decimal places:
Answer: 0.028 (or 0.027)

Ques 52 GATE 2017 SET-1


The following FIVE instructions were executed on an 8085 microprocessor.
MVI A, 33H
MVI B, 78H
ADD B
CMA
ANI 32H
The Accumulator value immediately after the execution of the fifth instruction is

A

00H

B

10H

C

11H

D

32H


(b) is the correct answer.

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