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  9. Q80

CGPSC 2011 · Question 80 of 146

A box has 2 marbles each of red, blue, yellow and green colours. The box is kept in a dark room where the colours of the marbles cannot be distinguished. A boy wants 2 marbles of the same colour. How many marbles must he draw from the box so that he is sure that he has got 2 marbles of the same colour?

Pigeonhole Principle

  1. A5Correct
  2. B4
  3. C3
  4. D6

Answer: A. 5

Explanation

By the pigeonhole principle, with 4 colours the worst case is drawing 4 different colours, so 5 draws guarantee a matching pair.

Source: CGPSC PCS Prelims 2011 GS Paper, solved paper via iasexamportal.com

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