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Ranjeet has a stick, he cuts that stick into 3 parts, length of the first stick is the average of prime numbers between 10 and 15, the length of 2nd stick is twice the third stick and the third stick is 5/6th in length of the first stick. Find half the length of the original stick. 
1. 17 cm 
2. 19 cm 
3. 21 cm 
4. 24 cm 

1 Answer

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Correct Answer - Option 3 : 21 cm 

Given :

Ranjeet has a stick, he cuts that stick into 3 parts

The length of first stick is the average of prime numbers between 10 and 15,

The length of the 2nd stick is twice the third stick and the third stick is (5/6)th in length of the first stick

Calculations :

Length of first stick = (11 + 13)/2    (11 and 13 are two prime number between 10 and 15)

⇒ 12 cm 

Length of third stick = (5/6) of 12 

⇒ 10 cm 

Lenghth of 2nd stick = 2 × 10 

⇒ 20 cm 

Total length of the stick = 12 + 10 + 20 

⇒ 42 cm 

Half the length of the stick = 42/2 

⇒ 21 cm 

∴ The correct answer will be option 3

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