Electrical Engineering Gate Yearwise 




Electrical Engineering Gate 2014 Set-2 Questions with Answer

Ques 27 GATE 2014 SET-2

Consider the differential equation x2d2y/dx2 + x(dy/dx) - y = 0. Which of the following is a solution to this differential equation for x > 0?

A

ex

B

x2

C

1/x

D

ln x


(c) is the correct answer.

Ques 28 GATE 2014 SET-2

To evaluate the double integral ∫08(∫y/2(y/2)+1((2x-y)/2)dx)dy, we make the substitution u = (2x-y)/2 and v = y/2. The integral will reduce to

A

∫04(∫02 2u du)dv

B

∫04(∫01 2u du)dv

C

∫04(∫01 u du)dv

D

∫04(∫02 u du)dv


(b) is the correct answer.

Ques 29 GATE 2014 SET-2

Let X be a random variable with probability density function

The probability P(0.5 < X < 5) is ________.


(0.4) is the correct answer.

Ques 30 GATE 2014 SET-2

The minimum value of the function f(x) = x3 - 3x2 - 24x + 100 in the interval [-3, 3] is

A

20

B

28

C

16

D

32


(b) is the correct answer.

Ques 31 GATE 2014 SET-2

Choose the most appropriate phrase from the options given below to complete the following sentence.
India is a post-colonial country because

A

it was a former British colony

B

Indian Information Technology professionals have colonized the world

C

India does not follow any colonial practices

D

India has helped other countries gain freedom


(a) is the correct answer.

Ques 32 GATE 2014 SET-2

Who ________ was coming to see us this evening?

A

you said

B

did you say

C

did you say that

D

had you said


(b) is the correct answer.

Ques 33 GATE 2014 SET-2

Match the columns.

Column 1Column 2
1) eradicateP) misrepresent
2) distortQ) soak completely
3) saturateR) use
4) utilizeS) destroy utterly

A

1:S, 2:P, 3:Q, 4:R

B

1:P, 2:Q, 3:R, 4:S

C

1:Q, 2:R, 3:S, 4:P

D

1:S, 2:P, 3:R, 4:Q


(a) is the correct answer.

Ques 34 GATE 2014 SET-2

What is the average of all multiples of 10 from 2 to 198?

A

90

B

100

C

110

D

120


(b) is the correct answer.

Ques 35 GATE 2014 SET-2

The value of √(12+√(12+√(12+...))) is

A

3.464

B

3.932

C

4.000

D

4.444


(c) is the correct answer.

Ques 36 GATE 2014 SET-2

The old city of Koenigsberg, which had a German majority population before World War 2, is now called Kaliningrad. After the events of the war, Kaliningrad is now a Russian territory and has a predominantly Russian population. It is bordered by the Baltic Sea on the north and the countries of Poland to the south and west and Lithuania to the east respectively. Which of the statements below can be inferred from this passage?

A

Kaliningrad was historically Russian in its ethnic make up

B

Kaliningrad is a part of Russia despite it not being contiguous with the rest of Russia

C

Koenigsberg was renamed Kaliningrad, as that was its original Russian name

D

Poland and Lithuania are on the route from Kaliningrad to the rest of Russia


(b) is the correct answer.

Ques 37 GATE 2014 SET-2

The number of people diagnosed with dengue fever (contracted from the bite of a mosquito) in north India is twice the number diagnosed last year. Municipal authorities have concluded that measures to control the mosquito population have failed in this region. Which one of the following statements, if true, does not contradict this conclusion?

A

A high proportion of the affected population has returned from neighbouring countries where dengue is prevalent

B

More cases of dengue are now reported because of an increase in the Municipal Office's administrative efficiency

C

Many more cases of dengue are being diagnosed this year since the introduction of a new and effective diagnostic test

D

The number of people with malarial fever (also contracted from mosquito bites) has increased this year


(d) is the correct answer.

Ques 38 GATE 2014 SET-2

If x is real and |x2 - 2x + 3| = 11, then possible values of |-x3 + x2 - x| include

A

2, 4

B

2, 14

C

4, 52

D

14, 52


(d) is the correct answer.

Ques 39 GATE 2014 SET-2

The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students doubled in 2009, by what percent did the number of male students increase in 2009?


(140) is the correct answer.

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