If 1 8 of a pencil is black 1 2 of the remaining is white and the remaining 3 2cm is blue Find the t...........

Quantitative Aptitude ( CCS) Simplification

If 1/8 of a pencil is black, 1/2 of the remaining is white and the remaining, 3/2cm is blue. Find the total length of the pencil?

8 cms

7 cms

9 cms

11 cms

Let the total length of the pencil = x cms

From the given data,

'x/8' is black

Remaining part = x - x/8 = 7x/8

1/2 of 7x/8 is white

=> 7x/16 is white (Remaining part is 7x/16)

And given that the remaining part is blue and is 3 1/2 cm = 7/2 = 3.5 cm

That remaining part = 7x/16

Therefore,

7x/16 = 7/2

x = 16/2 = 8

the total length of the pencil = x = 8 cm.

Hence, option 1 is the correct answer.

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