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CAT 1998 — QA Question 18

Even OddEasy
Passage / Data

Direction: Answer the question 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

Answer & solution

Correct answer: 64

  • 64

  • B

    36

  • C

    54

  • D

    `None of these

Solution

For, if any one of them collects the maximum number of coins, the remaining three should collect the minimum number of coins. To have distinct, even, atleast 10 coins; they will have to collect 10, 12, 14 coins. So if the three of them collect (10 + 12 + 14) = 36 coins, the fourth one has to collect (100 – 36) = 64 coins which has to be the maximum by any one person

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CAT 1998 QA Q18: The maximum number of coins collected by any one of them cannot exceed — Solution | TheCATExam