Question:
If \( g = 7 \), what is the minimum possible number of times for which the weighing machine is to be used?
If \( g = 7 \), what is the minimum possible number of times for which the weighing machine is to be used?
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When sample limits restrict encoding all information in one step, divide the problem into smaller narrowing stages.
Updated On: Jul 28, 2025
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The Correct Option is B
Solution and Explanation
If each box contains only 7 coins, you cannot pick 1+2+...+10 = 55 coins total, since total coins available = \( 10 \times 7 = 70 \), but using more than 7 coins from a box is not possible.
Hence, we must design two rounds of weighing. One way is to divide boxes into groups in first weighing and narrow down the group that has the heavier coins. Second weighing then pinpoints the exact box.
Thus, 2 weighings are sufficient and required.
Hence, we must design two rounds of weighing. One way is to divide boxes into groups in first weighing and narrow down the group that has the heavier coins. Second weighing then pinpoints the exact box.
Thus, 2 weighings are sufficient and required.
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