AAI ATC 2018: Final Revision Quiz 10 for ESE & GATE ME Exams

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, then how long will it take to cool a body from 35.1^oC to 39.3^oC if it cools from 48^oC to 50.1^oC in 6s? Assume the surrounding temperature is equal to 30^oC.

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.

Question 13

The award given for outstanding performance in sports is

Question 14

What number should come in place of question mark?

5,6,12,18,24,30,?

Question 15

Direction: From the given words, select the word which cannot be formed using the letters of the given word.
CONSTRUCTION

Question 16

Simplify : ⇒

5711 + 0.5 × 540 + 12.5% of 872 =? × 15

Question 17

Equivalent resistance of the network shown

Question 18

An ideal gas is the one for which

Question 19

An artificial satellite is moving in a circular orbit around the earth with a speed equal to one-sixth the magnitude of escape velocity from the earth. If the satellite is stopped suddenly in its orbit and allowed to fall freely onto the earth, find the speed with which it hits the surface of the earth. (Assume radius of earth is 6400 Km and acceleration due to gravity

)

Question 20

What is the set of a numbers that is neither prime nor composite?

Question 21

Out of 8 points in a plane 5 are collinear. Find the probability that 3 point selected at random form a triangle.

Question 22

If in a triangle, s denotes the semi perimeter and a,b,c denotes the sides of triangle ,then value of

Question 23

Select the most appropriate meaning of the given idiom.

To clip one’s wings

Question 24

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

The servant is keeping my house tidy.