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AAI ATC 2018 Crash Quiz 19

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Question 1

Who is known as the 'Columbus of the Space Age'?

Question 2

Facing the East, Rahul turned backward direction and walked 10 m, then he turned to his right and walked 10m, then he turned to left and walk 10 m. He then turned towards his right and went straight to cover 25m. In which direction is he from his starting point?

Question 3

For how many values of n are n-8, n, n+12 all prime numbers between 1 and 60?

Question 4

There are two cylindrical containers of equal capacity and equal dimensions. If the radius of one of the container is increased by 12 ft. and the height of another container is increased by 12 ft. then the capacity of both the container is equally increased by k cubic ft. if the actual heights of each of the container are 4 ft. Then find the new volume of each container.

Question 5

In an a.c. circuit, the instantaneous e.m.f. and current are given by

In one cycle of a.c., the average power consumed by the circuit and the wattless current are, respectively :

Question 6

If Newton’s law’s of cooling is valid how long will it take to cool a body from 35.1

to 39.3

if it cools from 48

to 50.1

in 6s.

Question 7

A projectile is fired at a speed of 100 m/s at an angle of 37^o from the horizontal. At the highest point, the projectile breaks into two parts in the ratio of 1:3. The smaller particle comes to rest without any further displacement in horizontal direction. Find the distance from the launching point to the point where the heavier piece lands.

Question 8

Find the number of ways in which 5 people sit on a bench of capacity 5, in a row with two particular persons sitting next to each other.

Question 9

Find the value of

if the lines

and

are coplanar.

Question 10

If p, q and r are positive rational numbers such that p>q>r and the quadratic equation

has a root in (-1,0) then what is the nature of the roots of the Q. E p

+2qx+r=0?

Question 11

Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select No improvement.

It is revealing that the gender divide in cognition levels worsens with rise in age, as girls are often compelled to drop in of school for a variety of reasons.

Question 12

In the given question, a sentence is given with a blank to be filled in with an appropriate word(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four.

Everybody will listen, if you ___________ your voice.

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ESE & GATE EC General

May 5ESE & GATE EC