GATE - APTITUDE 2021 GG

 1) The people ___________ were at the demonstration were from all sections of

society.

(A) whose

(B) which

(C) who

(D) whom

Solution : The correct answer is "who" because it is a relative pronoun used to refer to people. Here’s why the other options are incorrect:

• "whose": This is a possessive form and is used to indicate ownership, which doesn’t fit the context of the sentence.

• "which": This is used for non-human objects or animals, so it’s not appropriate when referring to people.

• "whom": This is used as an object of a verb or preposition, but the sentence requires a subject pronoun to describe "the people."

2)

Solution: Ans(C)

• The vertical line of the "K" remains in the same position.

• The left diagonal line of the "K" will be reflected to the right side, forming a mirrored diagonal.

• The right diagonal line of the "K" will be reflected to the left side, forming a mirrored diagonal.

• These two mirrored diagonals will meet at the vertical line, forming a "V" shape.

3) 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

Solution : Sum of Interior Angles of polygon =(n−2)×180​

where n is the number of sides of the polygon.

value of each interior angle = (n-2)180/n

= (10-2 ) 180 /10

= 144

4)

Ans : D

Try to break the options

11⁵² -1 = 11^{13^2^2} -1²

It is divisible by 11¹³ + 1

5) Oasis is to sand as 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

Solution :

• An oasis is a fertile area surrounded by sand in a desert

• An island is a landmass surrounded by water.

• The relationship is based on contrast between a specific entity and its surrounding environment.

6) 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 learnt. 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) Sleeping well alone is enough to prepare for an exam. Studying has lesser

benefit.

(B) Students are efficient and are not wrong in thinking that sleep is a waste of time.

(C) If a student is extremely well prepared for an exam, he needs little or no sleep.

(D) To do well in an exam, adequate sleep must be part of the preparation.

Solution : The passage emphasizes the

• importance of sleep in improving the ability to recall material and highlights that cutting down on sleep can be counterproductive.

• not getting enough sleep can make it harder to remember what you studied. So, sleeping enough helps you prepare better for exams.

7)

Solution : Side of smallest circle = 1.7677

Area of the circle = a² = 3.125

8) Let X be a continuous random variable denoting the temperature measured.

The range of temperature is [0, 100] degree Celsius and let the probability

density function of X be f(x) = 0.01 for 0 ≤ X ≤ 100.

The mean of X is _____

(A) 2.5

(B) 5.0

(C) 25.0

(D) 50.0

Solution : To find the mean (μ) of a continuous random variable X with a probability density function (PDF) f(x), we use the formula:

μ=a to b ∫​x⋅f(x)dx

Here, the PDF f(x)=0.01 for 0≤X≤100, and f(x)=0 otherwise. The range is from 0 to 100.

by calculating the integration, the answer will be 50

9)

Solution :

• In Year-2 : Total no. of students = 60 (pass) + 5 (fail) = 65

• In Year-1 : No of students failed = 10

  So, no. of students giving exam first time in year 2 are : 65-10 = 55

• Similarly in year-3 no. of students giving exam 1st time are = (50+3)-5 = 48

10) Seven cars P, Q, R, S, T, U and V are parked in a row not necessarily in that

order. The cars T and U should be parked next to each other. The cars S and

V also should be parked next to each other, whereas P and Q cannot be

parked next to each other. Q and S must be parked next to each other. R is

parked to the immediate right of V. T is parked to the left of U.

Based on the above statements, the only INCORRECT option given below

is:

(A) There are two cars parked in between Q and V.

(B) Q and R are not parked together.

(C) V is the only car parked in between S and R.

(D) Car P is parked at the extreme end.

Solution :

The arrangement is : Q S V R T U P

So, this arrangement clearly shows that there is only one car is parked in between Q and V