AAI ATC 2018 Mini Mock-1 for ESE & GATE EC Exams

Question 1

A series circuit consists of a resistance

, an inductance

, a capacitor of capacitance

and an alternating voltage source of 20 V. Calculate the resonance frequency of the circuit.

Question 2

A constant voltage 50 V is maintained between points X and Y of the circuit are shown below in the figure. Find the magnitude of the current flowing through the segment PQ.

Question 3

A magnetic field

exists at a point. If a test charge moving with velocity

experiences no force at a certain point, the electric field at that point in SI unit is

Question 4

A galvanometer has a coil resistance 150 Ω showing a full-scale deflection at

. What resistance should be added to use it as an ammeter of range

?

Question 5

In a diatomic gas system, molecules are free to translate, rotate and vibrate. The average kinetic energy per molecule is

Question 6

The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is

Question 7

cos⁻¹(sin x), 0 <= x < 1, is equal to:

Question 8

The top of a hill observed from the top and bottom of a building of height h is at angles of elevation α & β respectively. The height of the hill is ______

Question 9

The shortest distance between the lines (x-4/3)/2 = (y + 6/5)/3 = (z-3/2)/4 and (5y+6)/8 = (2z-3)/9 = (3x-4)/5 is?

Question 10

Find

Question 11

Find the value of

Question 12

Number of ways of dividing 80 cards in a group of 16 such that there are 5 groups.

Question 13

Select the most appropriate antonym of the given word.

QUASH

Question 14

Identify the best way to improve the underlined part of the given sentence. If there is no improvement required, select ‘no Improvement’.

The student of human history can draw on many more natural experiments than just comparisons among the five inhabited continents.

Question 15

Find the plural form of the given word.

Loaf

Question 16

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

Liberalism societies have not always lived up to these principles, which in some respects are always aspirational.

Question 17

In the following question, some statements followed by some conclusions are given. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows the given statements.

Statement:
Aggressive animals can be trained with care and affection to behave as the occasion demands.
Conclusions:
I. Trained dogs cannot be aggressive.
II. Animals are always aggressive unless care and affection are given to them.

Question 18

In the given question, two statements are followed by two conclusions I and II. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions can definitely be drawn from the give en statements and indicate your answer accordingly.

Statements:
1. People who live in the big city crowd into jammed trains or buses.
2. They cross the street in competition with Difficult powered motor cars.
Conclusions:
I. Travelling is very difficult for big-city people.
II. Traffic jam is inevitable in big cities.

Question 19

Which answer figure will complete the pattern in the question figure?

Question figure:

Answer figure:

Question 20

From the given answer figures, select the one in which the question figure is hidden/embedded.

Question 21

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, ‘R’ can be represented by 23, 31, etc., ‘O’ can be represented by 75, 98, etc. Similarly, you have identify the set for the word “TRAY”.

Question 22

Find the odd one out.

Question 23

What is the name of the novel for which Olga Tokarczuk has won the prestigious Man Booker International Prize 2018?

Question 24

Who invented Space Pen?