**Question:**

If one-eighth of a pencil is black, half of remaining is yellow and the remaining 2.5 cm is blue, then find the total length of the pencil ? A) 5 4/7 B) 5 5/7 C) 3 5/7 D) 2 1/2 E) None of these

(1/8) L is black

(7/16)L is yellow

Remaining is (7/16)L is 2.5

L is 40/__7__

40/7 conform

40/__7__

Ans is B i.e. 5 5/7..

40/7 is also right ans.but its not in options but 40/7 means 5 5/7.

Answer is 40/7.

1/8th part of pencil is black.

Remaining 7/8

Then half of 7/8 is yellow.

Means 7/16 is yellow.

Remaing 7/16 is blue whose length is 2.5 cm.

7/16= 2.5cm

Then 7/8= 2.5*2

=5.

Now remaining 1/8 length = 5/(7/8)*1/8(according to unitary method).

Then length of 1/8 th part of pencil is = 5/7

Total length of pencil is 5+5/7= 40/7

So these answer is not in the option.

Answer is None of these.

Its 5