AAI ATC 2018: Final Revision Quiz 2 for ESE & GATE ME Exams

Question 1

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

Question 2

Direction: Select the one which is different from the other three responses.

Question 3

In the following question, select the related number from the given alternatives.

243 : 819 : : 163 : ?

Question 4

World immunisation week is observed in

Question 5

Read the following passage and fill in each blank with words chosen from options given.

All conflicts among the participating city-states were postponed until the Olympic Games were finished. This ___________ (1) of hostilities was known as the Olympic peace. This idea is a ___________ (2) because the Greeks never suspended their wars. The ___________ (3) did allow those religious pilgrims who were traveling to Olympia to pass through warring territories ___________ (4) because they were protected by Zeus. The origin of the Olympics is ___________ (5) in mystery and legend.

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

Question 6

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

Acquired immunity is the result of an interaction with our new environment and proper digestion of all that we take off.

Question 7

An ideal gas goes from state A to state B four different processes as indicated in the P-V diagram. If H₁, H₂, H₃, and H₄ indicate the heat absorbed by the gas along the four processes and U₁, U₂, U₃, and U₄ indicate the change in internal energy along the three processes respectively, then

Question 8

Three Loops A, B, and C are placed in a uniform magnetic field directed into the plane of the paper. All current loops lie in the Z = 0 plane perpendicular to the field as shown in the figure

Question 9

A solid sphere of radius 5 cm, made of a material of bulk modulus

, is surrounded by a liquid in a cylindrical container. A massless piston area 20 cm² floats on the surface of the liquid. When a block mass of 6000 Kg is placed on the piston to compress the liquid the fractional change in the radius, Assume

Question 10

Let

then?

Question 11

The probability that A speaks the truth is 3/5, while the probability that B speaks truth is 4/5. The probability that they contradict each other on a fact is?

Question 12

The standard deviation of a variable x is µ . The variation of the variable ax/c + b/c is?

Question 13

From the given options ,which figure can be formed by folding the figure given in the question ?
Question figure :

Answer Figure

Question 14

In the following question, select the odd number from the given alternatives.

Question 15

In the following question, select the odd word pair from the given alternatives.

Question 16

The Saruhashi Prize is an annual prize awarded to a Japanese woman researcher in the ________.

Question 17

Select the incorrectly spelt word.

Question 18

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

And still this turns out to be poor preparation for dealing with the everyday embarrassments of being human.

Question 19

An engineer asked his students that if two masses 3 kg and 5 kg are suspended from a perfectly rigid horizontal support by a system of three taut massless wires W₁, W₂, and W₃ as shown in the figure. All the three wires have identical cross sections and elastic properties and are known to be very strong.

If the mass 5 kg is increased gradually, but without limitation, we should expect the wires to break in the following order.

Question 20

An ideal gas reversible engine operated in a closed cycle. The P-V diagram is shown below. Find out the efficiency of the reversible engine assuming both specific heats, C_P and C_V as constants. Assume

and

Question 21

N sources of current with different emf of cells are connected as shown in figure. The emf of the sources are proportional to their internal resistances, i.e.

, where

is an assigned constant. The lead wire resistance is negligible. Find the current in the circuit and the potential difference between points A and B dividing the circuit in n and N-n links.

Question 22

If 1, w and w² are the cube roots of unity, then the expression (1 – w+

)(1-

)…. upto 2n factors is equal to?

Question 23

If ax² - bx + 5 =0 does not have two distinct roots, then the minimum value of 5a+b is?

Question 24

Which number completely divides the expression

for all natural numbers n?