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CAT 1999 — QA Question 14

MiscellaneousEasy

Three labelled boxes containing red and white cricket balls are all mislabelled. It is known that one of the boxes contains only white balls and another one contains only red balls. The third contains a mixture of red and white balls. You are required to correctly label the boxes with the labels red, white and red and white by picking a sample of one ball from only one box. What is the label on the box you should sample?

Answer & solution

Correct answer: red and white

  • A

    white

  • B

    red

  • red and white

  • D

    Not possible to determine from a sample of one ball

Solution

Test the boxes labelled — Red and White.

Now if the ball is Red, label the box — Red

Now the box which has the label White is either Red or Red and White.

However, it cannot be Red.

Hence, it is Red and White.

The last box is White.

Hence, option (c).

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CAT 1999 QA Q14: Three labelled boxes containing red and white cricket balls are all mislabelled. It is known that one of the b — Solution | TheCATExam