In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: No hockey is a cricket. Some crickets are footballs. All volleyballs are footballs. Conclusions: I. All volleyballs are crickets. II. Some hockeys are footballs. III. All volleyballs are hockeys. IV. Some crickets being volleyballs is a possibility.?

Only I follows.
Only II follows.
Only III follows.
Only IV follows.

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : Only IV follows.

Consider the following least possible Venn diagram,

[ alt="17.07.2018.0069" src="//storage.googleapis.com/tb-img/production/18/07/17.07.2018.0069.PNG">

Conclusions:

I. All volleyballs are crickets. False

II. Some hockeys are footballs. False

III. All volleyballs are hockeys. False

IV. Some crickets being volleyballs is a possibility. True (Possibility is true as shown below)

[ alt="17.07.2018.0070" src="//storage.googleapis.com/tb-img/production/18/07/17.07.2018.0070.PNG">

Hence, only conclusion IV follows.

5 views Answered 2022-09-04 04:29

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