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Before leaving, he wants to test whether...

Before leaving, he wants to test whether his friend Captain Haddock is wise enough. So he places three boxes A, B, C contain initially 0, 0, 27 balls respectively. He tells that he wants equality among the boxes, and at every `i^(th)` move you make, you must transfer exactly i balls from one box to another. And you cannot transfer balls between A and B. How many minimum steps (If possible) will Captain take to get to equal number of balls in each box?

A

7

B

9

C

8

D

Not possible

Text Solution

Verified by Experts

To B: `+2, +7` 
To A: `+1, +3, +4, ­5, +6` 
  Hence the Answer is option: `A)7`
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