GATE Questions

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SHORT is the required five letter word, which becomes SHORTER when two letters 'ER' are added to it.

Let assume the value of a,b &c that will satisfy the equation.
so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1
here all three cases satisfy the equation
assume any one a=1,b=1,c= -1

Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0

Let the required two numbers be a, b

From the given data,

2a + 3b = 36 .....(1)

3a + 2b = 39 .....(2)

Now, by solving 1 and 2 eqnts, we get

5a = 45

a = 9 ....(3)

Put (3) in (1), we get

2(9) + 3b = 36

=> 18 + 3b = 36

3b = 36 - 18

=> b = 18/3 = 6

Required, difference between the numbers = a + b = 9 + 6 = 15.

The part of the earth and its atmosphere in which living organisms exist or that is capable of supporting life is called Biosphere.

The United Nations (UN) has declared 2017 as the "International Year of Sustainable Tourism for Development" to celebrate and advance the commitment of the tourism division to building a superior world.The International Year aims to support a change in policies, business practices and consumer behavior towards a more sustainable tourism sector that can contribute effectively to the Sustainable Development Goals (SDGs).

The given inequality is 3p - 16 < 20

For solving this inequality, follow these steps

Now add 16 on both sides

we get 3p - 16 + 16 < 20 + 16

=> 3p  < 36

Now divide the above eqn with 3 on both sides

we get, 3p/3 < 36/3

p < 12.