GATE Questions

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Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.

Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35

Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105

Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35

Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21

We know that,

1 year = 365 days

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds.

Then, 1 year = 365 x 24 x 60 x 60 seconds.

= 8760 x 3600

1 year = 31536000 seconds.

Hence, 10 years = 31536000 x 10 = 315360000 seconds.

The iodine test is used to test for the presence of starch i.e, Carbohydrate.

 Using pythagorus rule, 

 x2=122+52

 --> x = 13

Let the distance be d.

 d8-2-d8+2 = 4

=> 2d = 120 

=> d = 60 kms.

x128 = 162x

Then x² = 162x128

   = Sqrt of 8² x 6² x 3²

   = 8 x 6 x 3

   x²  = 144.

 x  = 12.

A spoofing attack is a situation in which one individual or program effectively disguises or mask as another by falsifying information and thereby gaining up an ill-conceived advantage. It may use for stealing password or IP addresses.

One word substitute for A person who loves everybody is Altruist. Altruism is the belief that the well-being of others is equally, if not more, important than the well-being or survival of the self. Further, altruism involves selfless acts or undertakings that put the welfare of others before one's own.