AAI ATC 2018 Mini Mock -2 for ESE & GATE EC Exams

Question 1

A transmitting antenna at the top of a tower has a height 32 m and the height of the receiving antenna is 50 m. What is the maximum distance between them for satisfactory communication in line of sight (LOS) mode?

Question 2

An alternating voltage E = 100sin376.8t is applied to a circuit consisting of a coil having a resistance of 6 ohm and an inductance of 21.22mH.
The current flowing in the circuit will be given by :

Question 3

A grenade is thrown with velocity 20 m/s making an angle of 30^◦with ground. Calculate the maximum height reached by ball. (g = 10 m/s²)

Question 4

What is the dimension formula of momentum?

Question 5

A lens formed by two curved watch glasses having the same radius of curvature, as shown in the figure. Then the assembly will behave like

Question 6

A point source of light is placed in front of a plane mirror -

Question 7

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships as 30 and 45 degrees respectively. If the light house is 100 m high find distance between the ships.

Question 8

The equation

has how many solutions?

Question 9

If

, then find the magnitude and direction of

.

Question 10

If the angle between the lines ax+by+c=0 and px+qy+f=0 and x-axis are equal then which of the following is true?

Question 11

The area of the triangle having coordinates (0,1,1) , (-1,0,2) and (-1,-2,0) is?

Question 12

Which number completely divides the expression

for all natural numbers n?

Question 13

Select the most appropriate antonym of the given word.

VAGRANT

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 Securities and Exchange Board of India (SEBI) has decreed that all MF schemes must adopt the Total Return variants of their chosen benchmarks to measure and disclose their performance.

Question 15

Choose the most appropriate option to change the narration (direct/indirect) of the given sentence.

"How old is your grandmother?", Navneet asked her.

Question 16

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

In the movie, the gorilla comes to the middle of the screen, thumps it’s chest and then walks off frightening the spectators.

Question 17

In each of the following questions, one/two statements are given followed by two conclusions/assumptions, 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 /assumptions can definitely be drawn from the given statements. Indicate your answer.

Statement: Regular reading of newspapers enhances one's general knowledge.
Assumptions:
I. Newspaper contains a lot of general knowledge.
II. Enhancement of general knowledge enables success in life.

Question 18

In the questions below, two statements are given, followed by two conclusions. You have to consider the given statements as true, even if they are at variance from commonly known facts. From the given options, choose the one that provides the correct combination of conclusions that follow/ can be derived from the given statements.

Statement A:
Peter was a smart lad but nobody initially thought that he was a hero.

Statement B:
You see, people can't tell whether you are hero or not until something happens that calls for courage.

Conclusions:
I. Something that calls for courage had happened with Peter.
II. Smart lads are not likely to be heroes.

Question 19

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

Question 20

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

Question 21

If the square represents dancers, the circle represents the singers, the triangle represents the teachers and the rectangle represents the chefs, then who are the teachers who are not singers?

Question 22

Find the odd one out:

Question 23

Which international film won the best film award at the Cannes Film Festival 2018?

Question 24

Who was the first Indian cricket captain?