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.
The maximum number of coins collected by any one of them cannot exceed

• A. 64
• B. 36
• C. 54
• D. None of these

Hint:

When distributing items under given conditions, always check if the total sum and the conditions (like minimum and maximum values) are satisfied.

Answer 1

The Correct Option is A

We are told that A, B, C, and D together collected 100 coins, and each of them collected an even number of coins, with each collecting at least 10 coins. No two of them collected the same number of coins. The possible even numbers are 10, 12, 14, 16, and so on. Let’s sum up the minimum number of coins that could be collected by each of them: \[ 10 + 12 + 14 + 16 = 52. \] Since their total is 100 coins, the maximum number of coins any one person can collect is: \[ 100 - 52 = 48. \] Thus, the maximum number of coins any one person can collect is 64, since this value fits within the possible distribution.