Electrical Engineering GATE 2015 Set-1 Questions with Answer

Ques 40 Engineering Mathematics

A solution of the ordinary differential equation d²y/dt² + 5(dy/dt) + 6y = 0 is such that y(0)=2 and y(1) = -(1-3e)/e³. The value of dy/dt(0) is ________.

Ques 41 Engineering Mathematics

Two players, A and B, alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player A starts the game, the probability that A wins the game is

Ques 42 General Aptitude

Didn't you buy ________ when you went shopping?

Ques 43 General Aptitude

Which of the following options is the closest in meaning to the sentence below?
She enjoyed herself immensely at the party.

Ques 44 General Aptitude

Which one of the following combinations is incorrect?

Ques 45 General Aptitude

Based on the given statements, select the most appropriate option to solve the given question.
If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?
Statements:
(I) Each step is 3/4 foot high.
(II) Each step is 1 foot wide.

Ques 46 General Aptitude

Given Set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equals 16?

Ques 47 General Aptitude

Select the alternative meaning of the underlined part of the sentence.
The chain snatchers took to their heels when the police party arrived.

Ques 48 General Aptitude

The given statement is followed by some courses of action. Assuming the statement to be true, decide the correct option.
Statement:
There has been a significant drop in the water level in the lakes supplying water to the city.
Course of action:
(I) The water supply authority should impose a partial cut in supply to tackle the situation.
(II) The government should appeal to all the residents through mass media for minimal use of water.
(III) The government should ban the water supply in lower areas.

Ques 49 General Aptitude

The pie chart below has the breakup of the number of students from different departments in an engineering college for the year 2012. The proportion of male to female students in each department is 5:4. There are 40 males in Electrical Engineering. What is the difference between the numbers of female students in the Civil department and the female students in the Mechanical department?

Ques 50 General Aptitude

The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p, and c respectively. Of these subjects, the student has 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Following relations are drawn in m, p, c:
(I) p+m+c = 27/20
(II) p+m+c = 13/20
(III) (p)x(m)x(c) = 1/10

Ques 51 General Aptitude

The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. The marks for each question are also listed. There is no negative or partial marking.

Ques 52 Power Electronics

In the following chopper, the duty ratio of switch S is 0.4. If the inductor and capacitor are sufficiently large to ensure continuous inductor current and ripple free capacitor voltage, the charging current (in Ampere) of the 5 V battery, under steady-state, is ________.