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(Diagrams are attached)

Sedimentation:-

Sedimentation is a process of settling down of the heavier particles present in a liquid mixture. For example, in a mixture of sand and water, sand settles down at the bottom.

Decantation:-

The pouring out of a liquid from a vessel without disturbing the sediments is called decantation. There are some mixtures which contain insoluble solid particles suspended in a liquid. The solid particles which are insoluble in a liquid can be separated by decantation.

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Answer:

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Explanation:

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4 comes in place of x in 3,x,5,5,9,8,15,13

Series 3,x,5,5,9,8,15,13

What comes in place of x

Understand the series:

Arrange in pairs

(3 , x) , ( 5 , 5) , ( 9 , 8) , ( 15 , 13)

Note the difference between numbers in pairs

3 - x  = ?

5 - 5 = 0

9 - 8  = 1

15 - 13 = 2

Notice that This difference is increasing by 1  

Hence 3 - x must be - 1

=> 3 - x = - 1

=> x = 4

Hence , 4 comes in place of x

Another way to understand the series

Break in two alternate series

3    5    9   15

  2    4     6

     2     2            

(2nd Difference is constant 2)

x        5       8      13

   1         3        5

      2           2

(Keeping 2nd Difference  constant 2)

Hence  x + 1 = 5  => x = 4

4 comes in place of x

Answer:

Let x=P (computer turns out to be defective given that it is produced in plant T

2

),

100

7

=

5

1

×(10x)+

5

4

×x⇒7=200x+80x⇒x=

280

7

Event A = computer is produced in T

2

Event B = computer is not defective

P (produced in T

2

not defective) =

P(B)

P(A∩B)

=

5

1

(1−10x)+

5

4

(1−x)

4/5(1−x)

=

5

1

(

280

280−70

)+

5

4

(

280

273

)

5

4

(

280

273

)

=

210+4×273

4×273

=

105+2×273

2×273

=

651

546

=

93

78