CAT Questions

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First ten odd numbers form an arithmetic progression of the form
1,3,5,7,9......
here a = first term = 1
d = common difference = 2
Average of first n numbers = (2a + (n - 1)d)/2
n th term of the AP = a + (n - 1)d
Substituting a = 1, d = 2 and n = 10 in the above formulas
average of first 10 numbers = 10
10 th term of the AP = 19
Therefore average of first 10 terms is 19 - 10 = 9 greater than
the last term. Hence the average is greater than the sum by
9/19 X 100 = 900/19 %

Normal Gas welding use oxygen-acetylene.

Depending on what materials you are welding, there are some more options that might be used.

For example - MIG/TIG use Argon, MAG use an argon-something mix.

6 b in an o means 6 balls in an over in cricket.

Metal Aluminium is present in chocolate wrappers.

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.

Given G + B= 41 and B = G-1
Hence, G = 21 and B = 20
Now we have 2 options,
1G and 3M
(or)
3G and 1M
(2G and 2M or 0G and 4M or 4G and oM are not allowed),

Total : C121×C320+C321×C120= 50540 ways.

Ecology is the branch of science which deals with the study of Ecosystem (relation between the Organisms and their Environment.)

The owner first lost Rs. 100 in cash, but after the thief bought Rs. 60 goods, he get back that Rs. 100 but he lost Rs. 60 value of goods and Rs. 40 in change.

So, a total of 60 + 40 = Rs. 100 the owner lose.