AAI ATC 2018: Final Revision Quiz 6 for ESE & GATE ME Exams

Question 1

Which of the following scheme has recently been launched by Hon’ble Minister Shivraj Singh Chouhan for the upliftment of framers?

Question 2

If + means x, – means ÷ , x means + and ÷ means – , then

25 x 5 – 3 ÷ 2 + 5 = ?

Question 3

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-Iare numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘K’ can be represented by 30, 41, etc. and ‘Z’ can be represented by 77, 68, etc. Similarly, you have to identify the set for the word ‘NEST’.

Question 4

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

Answer Figure

Question 5

The question below consists of a set of labelled sentences. These sentences, when properly sequenced form a coherent paragraph. Select the most logical order of sentences from among the options.

P. It also informed the team that work is being done towards identifying
Q. Policy which will focus on increasing the warehousing capacity, an official
statement said
R. The commerce and industry ministry is working on a national integrated
logistics
S. Specific products and markets to increase India’s exports by $100 billion

Question 6

Identify the best way to improve the underlined part of the given sentence. If there is no improvement required, select ‘no Improvement’.

The Centre can’t afford to procrastinate any further at framing rules to regulate the trading and use of bitcoin and other virtual currencies.

Question 7

Let E and F be two independent events such that P(E)<P(F). The probability that both E and F happens is

and the probability that neither E nor F happens is 0.5. Then P(E/F) is given by _____

Question 8

If ω is the cube root of unity then find the value of

Question 9

If

find

Question 10

Equations of two waves performing SHM is given by,
y= 10sin(100t – 30) and y=20cos(100t- 70)
Find the phase difference between the two waves performing SHM.

Question 11

A homogenous rod AB of length L=2m and mass M=10 kg is pivoted at the center O in such a way that it can rotate freely in the vertical plane as shown in the figure. The rod is initially in the horizontal position. An insect S of the same mass M lands vertically with speed V= 20m/s on the point C midway between the point O and B. Immediately after falling, the insect moves towards the end B such that the rod rotates with constant angular velocity

. Determine the

in terms V and L.

Question 12

In a fun fair, a ferry wheel was rotating about an angular speed of 15 rad/s. It was brought to rest by a constant torque in 6 s. If the moment of inertia of the wheel about the axis of rotation is 0.15 kgm², find the work done by the torque in first 3 s.

Question 13

Which of the following is the second highest civilian award of India given for exceptional and distinguished service in any field including service rendered by the government servants?

Question 14

In the following question, from the given alternative words, select the word which cannot be formed using the letters of the given word.
Representation

Question 15

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.

E, H, L, O, S, ?

Question 16

Which of the following figure can be created by folding the following figure?
Question figure:

Answer figure:

Question 17

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

My father will write a letter.

Question 18

Select the most appropriate option to fill in the blank.

The vision of _______ Almighty is full of majesty and peace.

Question 19

For two events A and B, if P(A)=P(A/B)=0.25 & P(B/A)=0.5, then P(B’/A’) is _____

Question 20

If the sum of the roots of the equation

is equal to the sum of the squares of their reciprocals, then

are in

Question 21

If f(x) = {x

when x

and 0 when x=0} , then f(x) is?

Question 22

If a Sportsman throws a javelin in the sky leftwards at an 30◦ with velocity 20 m/s. If a man descends vertically downwards in an air balloon at a speed of 5 m/s. Find the height of the Javelin at which the man in the balloon feels that the Javelin is going horizontally. (g =10 m/s²)

Question 23

The figure illustrates electric field lines corresponding to an electric field produced by a live electric wire. According to you what does the figure suggest?

Question 24

In a swimming competition, how much time should a man of 60 kg take if his speed in still water is 4 km/h and he wants to cross a river which is 300 m wide flowing at 2 km/h while keeping himself at an angle of 120˚?