CAT Questions

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It takes four of those little squares -- each one 1/2 inch on a side -- to cover one square inch. That's because each one is 1/2 x 1/2, or 1/4 of a square inch.
In a rectangle that is 48 inches by 48 inches, there are 2304 square inches.(1 ft = 12 inches)
Since it takes 4 little squares to cover 1 sq inch, then it would need 2304 x 4 squares (1/2 inch on a side each) to cover a rectangle 4 feet by 4 feet.

That is 9,216 of those squares.

When two dice are thrown simultaneously, the probability is n(S) = 6x6 = 36

Required, the sum of the two numbers that turn up is less than 12

That can be done as n(E)

= { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5) }

= 35

Hence, required probability = n(E)/n(S) = 35/36.

TAL Manufacturing Solutions, a wholly owned subsidiary of Tata Motors, on 11 April 2017 launched India’s first industrial-articulated robot and it goes by the name “BRABO”.

– BRABO is meant to complement the human workforce and perform repetitive, high volume, dangerous and time-consuming tasks from raw material handling to packaging of finished products.

– This is the first time that an industrial robot has been conceptualised, designed and manufactured in India. It is expected to increase productivity by 15-30%, with a payback period of 15 to 18 months.

We know that, M1 × D1W1 = M2 × D2W2

Here M1 = 1, D1 = 6 min, W1 = 1 and M2 = M, D2 = 90 min, W2 = 1845

1 × 61 = M × 901845 

=> M = 123

There are two major forms of democratic government.

I. Parliamentary
II. Presidential

The citizens elect the leaders in democratic government.

The main difference is legislative and executive branches.

Executive - head of government
Legislative - how laws are made

I. Parliamentary democratic government : (example - United Kingdom )

1. Parliament = Legislature (Laws)
2. Parliament controls the power
3. Head of government is a prime minister chosen by the legislature
4. Prime minister and cabinet are members of the legislature
5. Prime minister answers to the legislature (fusion of powers)
6. The government will stay in office for a specified period unless the prime minister loses support of the majority on an important vote.
7. If this occurs- the P.M. must resign and elections are held immediately.

II. Presidential democratic government : (example - United States of America)

1. The executive and legislative branches are separate bodies elected independently by the citizens.
2. Separation of Powers
3. There are checks and balances where each branch can overrule the other.
4. The president answers to the voters, not the legislature.
5. The people elect the president, and elections are held at set intervals.

The largest proportion of federal revenues comes from personal income taxes. Almost half of all federal revenue (47 percent) comes from individual income taxes.

Abhinav Bindra is an Indian professional shooter who is the world and Olympic champion in the 10 m air rifle event.

Given 0.875 and 0.375

0.875 ::

After decimal point there are 3 digits 875

Now, mutiply and divide 0.875 with 1000

$$\begin{gathered} 0.875 x 10001000 = 8751000 \\ Now, this can be reduced to fraction 78 \\ Therefore, 0.875 as fraction = 78 \end{gathered}$$

Similarly,

0.375 :: 

After decimal point there are 3 digits 375

Now, mutiply and divide 0.375 with 1000

$$\begin{gathered} 0.375 x 10001000 = 3751000 \\ Now, this can be reduced to fraction 38 \\ Therefore, 0.375 as fraction = 38 \end{gathered}$$