Gate Aptitude Electrical Engineering Previous Year Questions

As you grow older, an injury to your _________ may take longer to _________.

a) heel / heel
b) heal / heel
c) heal / heal
d) heel / heal

In a 500 m race, P and Q have speeds in the ratio of 3 ∶ 4. Q starts the race when P has already covered 140 m.
What is the distance between P and Q (in m) when P wins the raace?

a) 20
b) 40
c) 60
d) 140

Three bells P, Q, and R are rung periodically in a school. P is rung every 20 minutes; Q is rung every 30 minutes and R is rung every 50 minutes. If all the three bells are rung at 12:00 PM, when will the three bells ring together again the next time?

a) 5:00 PM
b) 5:30 PM
c) 6:00 PM
d) 6:30 PM

Given below are two statements and four conclusions drawn based on the statements.
Statement 1: Some bottles are cups.
Statement 2: All cups are knives.
Conclusion I: Some bottles are knives.
Conclusion II: Some knives are cups.
Conclusion III: All cups are bottles.
Conclusion IV: All knives are cups.
Which one of the following options can be logically inferred?

a) Only conclusion I and conclusion II are correct
b) Only conclusion II and conclusion III are correct
c) Only conclusion II and conclusion IV are correct
d) Only conclusion III and conclusion IV are correct

The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes 1-1, 2-2 or 3-3 chosen uniformly at random. What is the probability that the disc DOES NOT retain the same front and rear views after the flipping operation?

a) 0
b)

a)
b)
c)
d)

The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.
Consider the following statements:

• The line segment joining R and S is longer than the line segment joining P and Q.
• The line segment joining R and S is perpendicular to the line segment joining P and Q.
• The line segment joining R and U is parallel to the line segment joining T and Q.

a) The line segment joining R and T is parallel to the line segment joining Q and S
b) The line segment joining T and Q is parallel to the line joining P and U
c) The line segment joining R and P is perpendicular to the line segment joining U and Q
d) The line segment joining Q and S is perpendicular to the line segment joining R and P

The price of an item is 10% cheaper in an online store S compared to the price at another online store M. Store S charges ₹ 150 for delivery. There are no delivery charges for orders from the store M. A person bought the item from the store S and saved ₹ 100.
What is the price of the item at the online store S (in ₹) if there are no other charges than what is described above?

a) 2500
b) 2250
c) 1750
d) 1500

There are two identical dice with a single letter on each of the faces. The following six letters: Q, R, S, T, U, and V, one on each of the faces. Any of the six outcomes are equally likely.
The two dice are thrown once independently at random. What is the probability that the outcomes on the dice were composed only of any combination of the following possible outcomes: Q, U and V?

a)

Altruism is the human concern for the wellbeing of others. Altruism has been shown to be motivated more by social bonding, familiarity and identification of belongingness to a group. The notion that altruism may be attributed to empathy or guilt has now been rejected.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

a) Humans engage in altruism due to guilt but not empathy
b) Humans engage in altruism due to empathy but not guilt
c) Humans engage in altruism due to group identification but not empathy
d) Humans engage in altruism due to empathy but not familiarity

The people __________ were at the demonstration were from all sections of society.

a) whose
b) which
c) who
d) whom

a)
b)
c)
d)

For a regular polygon having 10 sides, the interior angle between the sides of the polygon, in degrees, is:

a) 396
b) 324
c) 216
d) 144

Which one of the following numbers is exactly divisible by (11¹³ + 1) ?

a) 11²⁶+1
b) 11³³+1
c) 11³⁹-1
d) 11⁵²-1

Oasis is to sand as the island is to ___________
Which one of the following options maintains a similar logical relation in the above sentence?

a) Stone
b) Land
c) Water
d) Mountain

The importance of sleep is often overlooked by students when they are preparing for exams. Research has consistently shown that sleep deprivation greatly reduces the ability to recall the material learned. Hence, cutting down on sleep to study longer hours can be counterproductive.
Which one of the following statements is the CORRECT inference from the above passage?

a) If a student is extremely well prepared for an exam, he needs little or no sleep.
b) LandStudents are efficient and are not wrong in thinking that sleep is a waste of time.
c) Sleeping well alone is enough to prepare for an exam. Studying has lesser benefit.
d) To do well in an exam, adequate sleep must be part of the preparation.

Select the next element of the series:
Z, WV, RQP, _______

a) JIHG
b) KJIH
c) NMLK
d) LKJI

Stock markets _________ at the news of the coup.

a) plunged
b) plugged
c) poised
d) probed

People were prohibited ________ their vehicles near the entrance of the main administrative building.

a) to park
b) to have parked
c) from parking
d) parking

If P, Q, R, S are four individuals. How many teams of size exceeding one can be formed, with Q as a member?

a) 8
b) 6
c) 5
d) 7

In four-digit integer numbers from 1001 to 9999, the digit group “37” (in the same Q.3 sequence) appears ______ times.

a) 299
b) 270
c) 280
d) 279

Non-performing Assets (MPAs) of a bank in India is defined as an asset, which remains unpaid by a borrower for a certain period of time in terms of interest, principal, or both. Reserve Bank of India (RBI) has changed the definition of NPA thrice during 1993-2004. in terms of the holding period of loans. The holding period was reduced by one quarter each time. In 1993, the holding period was four quarters (360 days). Based on the above paragraph, the holding period of loans in 2004 after the third revision was ______ days.

a) 45
b) 135
c) 90
d) 180

Select the word that fits the analogy:
Do : Undo : Trust : ______

a) Untrust
b) Intrust
c) Distrust
d) Entrust

This book, including all its chapters _______ interesting. The students as well as the instructor _______ in agreement about it.

a) are, are
b) is, was
c) is, are
d) were, was

Newspapers are a constant source of delight and recreation for me. The _____ trouble is that I read _______ many of them.

a) only, quite
b) even, quite
c) even, too
d) only, too

It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y, if they work together to mow the lawn?

a) 120
b) 90
c) 60
d) 80

The missing number in the given sequence 343, 1331, _______ 4913 is

a) 2744
b) 2197
c) 3375
d) 4096

I am not sure if the bus that has been booked will be able to ______ all the students

a) deteriorate
b) accommodate
c) fill
d) sit

The passengers were angry __________ the airline staff about the delay

a) on
b) about
c) with
d) towords

Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y. The product of elements having minimum and maximum values in the set Z is ____________.

a) 1/12
b) 1/8
c) 1/6
d) 3/8

Consider five people- Mitra, Ganga, Rekha, Lakshmi and Sana, Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true?

1. Lakshmi is taller than Rekha
2. Rekha is shorter than Mita
3. Rekha is taller than Sana
4. Sana is shorter than Ganga

a) 1 only
b) 1 and 3
c) 3 only
d) 2 and 4

The ratio of the number of boys and girls who participated in an examination is 4 : 3. The total percentage of candidates who passed the examination is 80 and the percentage of a girls who passed is 90. The percentage of boys who passed is _________.

a) 90.00
b) 80.50
c) 55.50
d) 72.50

How many integers are there between 100 and 1000 all of whose digits are even?

a) 100
b) 90
c) 60
d) 80

An award-winning study by a group of researchers suggests that men are as prone to buying on impulse as women but women feel more guilty about shopping.
Which one of the following statements can be inferred from the given text?

a) Some men and women indulge in buying on impulse
b) All men and women indulge in buying on impulse
c) Few men and women indulge in buying on impulse
d) Many men and women indulge in buying on impulse

“Since you have gone off the ________, the _________ sand is likely to damage the car.”
The words that best fill the blanks in the above sentence are

a) course, coarse
b) course, course
c) coarse, course
d) coarse, coarse

"A common misconception among writers is that sentence structure mirrors thought; the more _________ the structure, the more complicated the ideas."
The word that best fills the blank in the above sentence is

a) detailed
b) simple
c) clear
d) convoluted

The three roots of the equation 𝑓(𝑥) = 0 are 𝑥 = {−2, 0, 3}. What are the three values of 𝑥 for which 𝑓(𝑥 − 3) = 0?

a) −5, −3, 0
b) −2, 0, 3
c) 0, 6, 8
d) 1, 3, 6

For what values of 𝑘 given below is

a) 4, 8, 18
b) 4, 10, 16
c) 4, 8, 28
d) 8, 26, 28

Functions 𝐹(𝑎, 𝑏) and 𝐺(𝑎, 𝑏) are defined as follows:
𝐹(𝑎, 𝑏) = (𝑎 − 𝑏)² and 𝐺(𝑎, 𝑏) = |𝑎 − 𝑏|, where |𝑥| represents the absolute value of 𝑥.
What would be the value of 𝐺(𝐹(1, 3), 𝐺(1, 3))?

a) 2
b) 4
c) 6
d) 36

An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible?

a) 6,760
b) 13,520
c) 40,560
d) 1,05,456

In a certain code, AMCF is written as EQGJ and NKUF is written as ROYJ. How will DHLP be written in that code?

a) RSTN
b) TLPH
c) HLPT
d) XSVR

A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?

a) 0
b) 325/864
c) 525/864
d) 5/12

P, Q, R and S crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available.
(i) The boat held two persons on each of the three forward trips across the lake and one person on each of the two return trips.
(ii) P is unable to row when someone else is in the boat.
(iii) Q is unable to row with anyone else except R.
(iv) Each person rowed for at least one trip.
(v) Only one person can row during a trip.

Who rowed twice?

a) P
b) Q
c) R
d) S