CAT Quant Practice Problems

Question: In a tournament, there are n teams T1, T2,..., Tn , with n > 5. Each team consists of ‘k’ players, k > 3. The following pairs of teams have one player in common:

T1 & T2,T2 & T3,...,Tn–1 & Tn, and Tn & T1

No other pair of teams has any player in common. How many players are participating in the tournament, considering all the ‘n’ teams together?

n(k –1)
k(n –1)
n(k –2)
k(n – 2)
(n – 1)(k – 1)
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