UPSC Prelims 2023 · CSAT (Paper 2) · Q36

Basic Numeracy

Hard · Pigeonhole / worst case

A box contains 12 red beads, 18 blue beads, 24 green beads, 30 yellow beads, 36 white beads and 48 black beads. Consider the following statements:

1. The smallest number n such that any n beads drawn from the box at random must contain one full group of at least one colour is 163.

2. The smallest number m such that any m beads drawn from the box at random must contain at least one bead of each colour is 157.

Which of the above statements is/are correct?