Q: 69 (IAS/2006)

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A box contains five set of balls while there are three balls in each set. Each set of balls has one colour which is different from every other set. What is the least number of balls that must be removed from the box in order to claim with certainly that a pair of balls of the same colour has been removed?
question_subject: 
Logic/Reasoning
question_year: 
2006
question_exam: 
IAS
question_sub_subject: 
Reasoning
question_topic: 
Analytical
stats: 
0,176,160,176,64,64,32