AAI ATC 2018: Final Revision Quiz 1 for ESE & GATE ME Exams

Question 1

In each of 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: Darkness is necessary to appreciate the light.
Statement B: We need to experience the opposite of what we want so we can appreciate and experience the thing we desire.
Conclusions:
I. Light is better than darkness.
II. One does not always get what he desires.

Question 2

Two positions of a cube are shown below. What will come opposite to face containing ‘3’?

Question 3

Find the number of triangles in the given figure

Question 4

Who is not amongst the winners of Nobel Prize 2016 for Chemistry?

Question 5

Select the word which means the same as the group of words given.

Bitter quarrel between two families existing for a long period.

Question 6

Read the following passage and fill in each blank with words chosen from options given.
"Licence raj has been (1) _______ by approval raj. Today, it is about (2) _______ which are also time-consuming. Both licenses and approvals are (3) _______ with potential corruption and speed money. Hence, the only way to (4) _______ this is self-regulation and deemed approvals on an online platform which removes the human element and (5) _______ reduces corruption," Biocon CMD Kiran Mazumdar-Shaw said in an interview.

Select the most appropriate option to fill in blank No.1

Question 7

An electric field

in a region of space. If the potential at the origin is taken to be zero then the potential at

is:

Question 8

A fixed long horizontal wire A is carrying 25 A current. Another fine wire B of 0.060 N/m carrying current of 10 A is placed directly above and parallel to the fixed one. What would be the position of wire B from A so that B remains suspended?

Question 9

The density (ρ) versus temperature (T) graph of an ideal gas undergoing a process AB is as shown in the figure. Choose the incorrect option

Question 10

y =

, then (dy/dx)*(1-y*log(sinx)) is?

Question 11

The equation of motion of a body is given by s = -1 + ln(t+1) + (t+1)³ (s is in cm and t is in s), the kinetic energy of the body after a second of the start of its motion is? (take mass of the body = 6g)

Question 12

There is a family of ellipse using to study the Copernicus solar system model. The semi-major axis and semi-minor axes are rotated in such a way that they ultimately become of the same value.The resulting figure has an equation of their family.Find the differential equation of the above family of curve having a common centre

Question 13

In the question three statements are given, followed by four conclusions. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statements
I. Some elephants are goats.
II. Some goats are sharks.
III. Some sharks are animals.

Conclusion

I. Some elephants are sharks.
II. Some goats are animals.
III. Some animals are sharks.
IV. Some animals are goats.

Question 14

One morning after sunrise, A and B were standing in a park with their backs toward each other. A’s shadow fell exactly on his right side. In which direction was B facing?

Question 15

A man is facing the west direction and from there he walks 10 km in the right and then turns left and walks another 6 km. Then, he turns 90^o clockwise and walks for another 6 km and finally walks 6 km in the east. Find the distance between his initial and final position.

Question 16

How does a moss plant reproduce?

Question 17

Select the most appropriate synonym of the given word.

NAUSEOUS

Question 18

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

Radium is so expensive that you could be a millionaire if you own only half a pound of it!

Question 19

Young's modulus of a wire is given by measuring the ratio of force applied to it and the extension in the wire. If the percentage error in the measurement of the force, radius, and extension each are 1

, then the error in the value of Young’s modulus is

Question 20

An ideal monatomic gas is taken through a process in which supplied is thrice of change in internal energy. Then the molar heat capacity of the process is

Question 21

Three friends Richard, Newton, and Jim choose a sphere, cube, and a thin circular plate respectively. All have the same material and same mass are initially heated to same high temperature. Then

Question 22

The area in the first quadrant bounded by y = 4

, x=0 , y=1 and y=4 is?

Question 23

The value of I if I =

dx is?

Question 24

The order of the differential equation of all the tangent to the parabola y = x² is?