th part of a pencil is black and  part of the remaining is white. If the remaining part is blue and length of this blue part is 3 cm, then find the length of the pencil.

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  1. 6 cm
  2. 7 cm
  3. 8 cm
  4. 9 cm

Answer (Detailed Solution Below)

Option 3 : 8 cm
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Detailed Solution

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Given:

Part of Black Pencil = 

Part of white Pencil = 

the remaining is blue 

Calculation:

Let the total length of the pencil be LCM of  and  = 16x

Length of black colour =× 16x = 2x

Remaining = 16x - 2x  = 14x

Length of white colour =  × 14x = 7x

The remaining   is blue.

Remaining = 14x - 7x = 7x = 

⇒ x = 

Total length of the pencil = 16x = 16 ×  = 8m

∴ Option 3 is the correct answer.

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