Electrical Engineering GATE 2014 Set-2 Questions with Answer

Ques 27 Engineering Mathematics

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?

e^x

x²

1/x

ln x

Ques 28 Engineering Mathematics

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

∫₀⁴(∫₀² 2u du)dv

∫₀⁴(∫₀¹ 2u du)dv

∫₀⁴(∫₀¹ u du)dv

∫₀⁴(∫₀² u du)dv

Ques 29 Engineering Mathematics

Let X be a random variable with probability density function

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

Ques 30 Engineering Mathematics

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

Ques 31 General Aptitude

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

it was a former British colony

Indian Information Technology professionals have colonized the world

India does not follow any colonial practices

India has helped other countries gain freedom

Ques 32 General Aptitude

Who ________ was coming to see us this evening?

you said

did you say

did you say that

had you said

Ques 33 General Aptitude

Match the columns.

Column 1	Column 2
1) eradicate	P) misrepresent
2) distort	Q) soak completely
3) saturate	R) use
4) utilize	S) destroy utterly

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

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

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

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

Ques 34 General Aptitude

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

100

110

120

Ques 35 General Aptitude

The value of √(12+√(12+√(12+...))) is

3.464

3.932

4.000

4.444

Ques 36 General Aptitude

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?

Kaliningrad was historically Russian in its ethnic make up

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

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

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

Ques 37 General Aptitude

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

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

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

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

Ques 38 General Aptitude

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

2, 4

2, 14

4, 52

14, 52

Ques 39 General Aptitude

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?

1 2 3 4 5

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Electrical Engineering GATE 2014 Set-2 Questions with Answer