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A pole is painted as  red, white,  blue, black, violet, yellow and the rest green. If the portion in green has length 12.08 metre, length of the pole is

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WBSSC Group D Official Paper (Held On: 19 Feb, 2017)
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  1. 10 metre
  2. 20 metre
  3. 16 metre
  4. 14 metre

Answer (Detailed Solution Below)

Option 3 : 16 metre
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Detailed Solution

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Given:

Red portion =

White portion =

Blue portion =

Black portion =

Violet portion =

Yellow portion =

Green portion length = 12.08 metre

Formula Used:

Sum of fractions of painted portions = Total painted length / Total length of pole

Remaining portion = 1 - Sum of fractions of painted portions

Calculations:

Sum of the fractions of the pole painted in different colors (excluding green):

⇒

⇒

⇒  

⇒ 

The portion painted green is the rest of the pole:

⇒ Green portion (fraction) = 1 -

⇒ Green portion (fraction) =  = 

We are given that the length of the green portion is 12.08 metre.

Let L be the total length of the pole.

⇒ × L = 12.08

⇒ L =

⇒ L = 16 metres

The correct answer is Option (3).

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