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Question 144

A man has 1044 candles. After burning, he can make a new candle from 9 stubs left behind. Find the maximum number of candles that can be made.

Solution

1 candle is made from 9 stubs, => 116 candles will be made from 1044 stubs

From 116 candles, 12 candles can be made with 8 stubs left.

Now total stubs left = $$12+8=20$$, out of which two candles can be made with two stubs left.

Thus, Maximum number of candles that can be made = $$(116+12+2)=130$$

(or) Number of candles made = $$(\frac{1044}{9^1})+(\frac{1044}{9^2})+(\frac{1044}{9^3})\approx130$$

=> Ans - (C)

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