CAT Questions

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A prime number is a whole number greater than 1 whose only factors are 1 and itself.

Factors of 5 are 1, 5

Factors of 11 are 1, 11

Factors of 21 are 1, 3, 7, 21

Factors of 37 are 1, 37.

Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.

15% of 32 is 

15 x 32/100 = 4.8.

Thiruvananthapuram, capital of Kerala has topped in city governance ranking of the Annual Survey of India’s City Systems (ASICS) 2016 conducted by Janaagraha Centre for Citizenship and Democracy. This year it was the fourth edition the annual survey which had evaluated 21 major cities from the 18 states. It highlighted inadequacies in urban governance that could affect public service delivery and quality of life.

Here given formula is 

a2 + b2 + c2 -ab- bc - ca = 0

and it is possible if and only if a = b = c.

From the trial and error method, 

1) Let a = b = c = 1

Now substitute these values of a, b, c in the above formula.

We get 1 + 1 + 1 - 1 - 1 - 1 = 3 - 3 = 0

2) Now, let a = b = c = 4

Now substitute these values of a, b, c in the above formula.

We get 16 + 16 + 16 - 16 - 16 - 16 = 48 - 48 = 0.

Hence, it is possible that 

a2 + b2 + c2 -ab- bc - ca = 0 iff a = b = c.

The physical components of a computer are referred to as Hardware of the computer. 

The hardware components of the computer includes :

• Processor.
• Main memory.
• Secondary memory.
• Input devices.
• Output devices.

chemical energy is contained in the chemical bonds between the reactants in the chemical compounds.