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Answer the question based on the following information.

A young girl Roopa leaves home with x flowers, goes to the bank of a nearby river. On the bank of the river, there are four places of worship, standing in a row. She dips all the x flowers into the river. The number of flowers doubles. Then she enters the first place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the second place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the third place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the fourth place of worship, offers y flowers to the deity. Now she is left with no flowers in hand.

The minimum number of flowers that could be offered to each deity is

  1. $0$
  2. $15$
  3. $16$
  4. Cannot be determined
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Answer$: \text{(C) 16}$

$2(2(2(2x-y)-y)-y)-y=0$

i.e.$16x-15y=0$
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