Coin Distribution

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(CAT 1998)

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.

1. The maximum number of coins collected by any one of them cannot exceed
a. 64 
b. 36 
c. 54 
d. None of these

2. 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
a. 12 
b. 24 
c. 30 
d. None of these

3. If A collected 54 coins and B collected two more coins than twice the number of coins collected by C, then the number of coins collected by B could be
a. 28 
b. 20 
c. 26 
d. 22

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