AAI ATC 2018: Final Revision Quiz 3 for ESE & GATE ME Exams

Question 1

A word is represented by only one set of numbers as given in any one of the alternative. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘P’ can be represented by 32, 44, etc., ‘U’ can be represented by 76, 88, etc. Similarly, you have identify the set for the word “PALE”.

Matrix-I

Matrix-II

Question 2

In the following question, select the related letters from the given alternatives.
DJLQ : WQOJ : : DMSW : ?

Question 3

A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened?

Question 4

Which of the following places in India has shown the highest population growth percentage according to Census 2011?

Question 5

In the sentence, identify the segment which contains the grammatical error. If the sentence has no error, then select 'No error'.

Critics of television often focus on the prevalent of violence in today’s programmes.

Question 6

Given below are four jumbled sentences. Select the option that gives their correct order.

P: The right to privacy "is protected as an intrinsic part of Article 21 that protects life and liberty."
Q: The Supreme Court came out with the landmark verdict of declaring a right to privacy as a fundamental right for all citizens of the country.
R: This essentially means that governments, private companies, cops have no right to snoop on citizens.
S: In the judgment, the Supreme Court categorically pronounces that the state can't dictate individuals on their decisions.

Question 7

A long straight wire carrying current and a π-shaped conductor with sliding connector are placed in the same plane as shown in the figure. The connector of length and resistance R slides to the right with constant velocity. Neglecting resistance of π shaped conductor and the self-inductance of the loop. Find the current induced in the loop as a function of separation r between the connector and the straight wire.

Question 8

What is the ratio of change of time-period when the temperature of the rod of a simple pendulum rises from

to

in one case and from

to

in other case?

Question 9

According to the Zeroth Law of Thermodynamics, which of the are correct?

Question 10

The angle between the asymptotes of the hyperbola is 30 degrees. The eccentricity of hyperbola may be?

Question 11

A tree is broken by the wind and its upper part touches the ground at a point 10 m away from the foot of the tree. This part makes an angle 45 degrees with the ground , the entire length of the tree is?

Question 12

The inequality |z-4| < |z-2| represents the region given by?

Question 13

Which of following is the India’s largest salt lake situated in Rajasthan?

Question 14

In the following question, select the odd number from the given alternatives.

Question 15

A word is represented by only one set of numbers as given in any one of the alternative. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘K’ can be represented by 43, 04 etc and ‘Z’ can be represented by 75, 66 etc.

Similarly, you have identify the set for the word ‘MALE’.

Question 16

Directions: In each of the questions given below, which one of the five Answer Figures on the right should come after the Problem Figures on the left, if the sequence were continued?

Problem Figure

Question 17

Choose the most appropriate option to change the voice (active/passive) form of the given sentence.

I don’t like people telling me what to do.

Question 18

In the sentence, identify the segment which contains the grammatical error.

With God's blessings and hard work, I cleared many hurdles in life and did reasonable well both professionally and personally.

Question 19

The condition on a and b such that the portion of the line ax + by – 1=0 intercepted between the line ax + y +1 = 0 and x + by =0 subtends a right angle at the origin is?

Question 20

If

find

Question 21

Let S={t∈R: f(x)=|x-π|.(e^|x|-1)sin|x| is not differentiable at t}. Then the set S is equal to

Question 22

Raindrops hit the ground with a terminal velocity that is achieved due to a balance between the gravitational force and viscous drag force of air. Assume a raindrop to be perfectly spherical water droplet of radius R. The momentum is transferred when it hits the ground is proportional to

Question 23

A raindrop falling vertically under gravity gathers moisture from the atmosphere at a rate given by , where m is instantaneous mass, t is time and k is constant. The equation of motion of the raindrop is . If the drop starts falling at t = 0, with zero initial velocity and initial mass , find the velocity of the drop after one second is (Given and K =12 gm/s³ )

Question 24

What will be the angle between the plane of circular coil and magnetic meridian if, a neutral point is obtained at the centre of this coil when kept in vertical alignment?