Question:
Answer the questions based on the following information.
A, B, C and D collected one-rupee coins following the given pattern.
Together they collected 100 coins. Each one of them collected even number of coins.
Each one of them collected at least 10 coins. No two of them collected the same number of coins.
If A collected 54 coins, then the difference in the number of coins between the one who collected maximum number of coins and the one who collected the second highest number of coins must be at least
Answer the questions based on the following information.
A, B, C and D collected one-rupee coins following the given pattern.
Together they collected 100 coins. Each one of them collected even number of coins.
Each one of them collected at least 10 coins. No two of them collected the same number of coins.
If A collected 54 coins, then the difference in the number of coins between the one who collected maximum number of coins and the one who collected the second highest number of coins must be at least
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When working with distribution problems, check the conditions and constraints carefully to find all possible values that meet the requirements.
Updated On: Aug 4, 2025
- 12
- 24
- 30
- None of these
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The Correct Option is C
Solution and Explanation
If A collected 54 coins, the total number of coins is 100. This means the sum of the coins collected by B, C, and D is:
\[
100 - 54 = 46.
\]
Since the number of coins collected by each person must be even and at least 10, the only possible even values for B, C, and D are 10, 12, 14, and so on.
Thus, the coins collected by B, C, and D could be:
\[
\{10, 12, 14\}, \{10, 12, 16\}, \{10, 14, 16\}, \{12, 14, 16\}.
\]
The largest difference occurs when the second highest is 14, and the highest is 54, so the difference is 30.
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