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Ashish is given Rs. $158$ in one rupee denominations. He has been asked to allocate them into a number of bags such that any amount required between Re. $1$ and Rs. $158$ can be given by handing out a certain number of bags without opening them. What is the minimum number of bags required?

  1. $11$
  2. $12$
  3. $13$
  4. None of these
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