Statements followed by some conclusions are given below. Statements: 1. Some football players are cricketers. 2. Some cricketers are hocky players. Conclusions: I. Some hockey players who are cricketers play football too. II. There is at the most one cricketer who plays football and hockey. Find which of the given conclusions logically follows from the given statements.?

Option 4 : Neither I nor II follows.

The least possible Venn diagram is given below:

[ alt="NTPC" src="//storage.googleapis.com/tb-img/production/19/05/NTPC.PNG" style="width: 269px; height: 101px;">

Conclusions:

I. Some hockey players who are cricketers play football too → False, it is possible but not definite.

II. There is at the most one cricketer who plays football and hockey → False, it is possible but not definite.

Hence, Neither I nor II follows.

Note: It is given that all hockey players love football. But it is not given that all hockey players play football.