GATE Questions

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India has been unanimously elected as the President of the UN-Habitat. UN-Habitat, an organ of the United Nations’ Organisation (UNO) reports to the United Nations General Assembly. UN-Habitat  promotes socially and environmentally sustainable human settlements across the world. India has been elected as the President of UN-Habitat after a gap of 10 years. This is only the third time that India has been elected as the President of UN-Habitat after 2007 and 1988. The UN-Habitat was established in 1978.

The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is

Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!

But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

Energy can be either a potential energy or a kinetic energy.

The energy associated with motion is called Kinetic energy and it can be stored. And the energy associated with position is called Potential energyand it cannot be stored.

The Supreme Court of India was established in the year 1950.

Assume that the number is taken as XYZ.
Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9
Condition 2 => Y = X + Z
X Y Z
1 2 1
4 6 2
9 12 3 => (wrong because it is 4 digit.)

and 121 is not divisible by 2

The answer is 462.

Instructions per second (IPS) is a measure of a computer's processor speed. CPU speed of a personal computer is 32 KIPS (Kilo Instructions per second).

Allotropes are the different physical forms of an element. Here in the given options, diamond and graphite are the pair of allotropes of carbon.

Some more examples are Molecular oxygen and ozone are pair of allotropes, Black and red phosphorous are also pairs of allotropes.

Given two lines are parallel

pa+b=2

b=-pa+2..........(1)

3a+b=4

b=-3a+4 ...........(2)

m₁ = -p

m₂= -3

The condition for the two lines to be parallel is m₁=m₂

p = 3