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Preliminary Exam CSAT September 24

1. A box contains 14 black balls, 20 blue balls, 26 green balls, 28 yellow balls, 38 red balls and 54 white balls. Consider the following statements:

The smallest number n such that any n balls drawn from the box randomly must contain one full group of at least one colour is 175.

The smallest number m such that any m balls drawn from the box randomly must contain at least one ball of each colour is 167.

Which of the above statements is/are correct?

(a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2

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Some Reference Essays

List of previous year essay topics (1997-2019)

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