In the question below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: All Stone are Hammer. No Hammer is a Bell. Some Bell are Door. All Door are Window. Conclusions: I. Some Window are Stone. II. Some Window are Bell. III. No window is a stone. IV. Some Bell are Stone.?

Question

In the question below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: All Stone are Hammer. No Hammer is a Bell. Some Bell are Door. All Door are Window. Conclusions: I. Some Window are Stone. II. Some Window are Bell. III. No window is a stone. IV. Some Bell are Stone.?

None follows
Only II follows
Only either I or III follows
Only IV follows
Only either I or III and II follow

LohaHridoy

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2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 5 : Only either I or III and II follow

The least possible Venn diagram for the given statements is as follows,

[ alt="Q3Q" src="//storage.googleapis.com/tb-img/production/18/08/Q3Q.PNG" style="height:136px; width:328px">

Conclusions:

I. Some Window are Stone → It’s not sure, hence false.

II. Some Window are Bell → It’s sure, hence true.

III. No window is a stone → It’s not sure, hence false.

IV. Some Bell are Stone → It’s not definitely sure, hence false.

Here conclusion I and III form complementary pair, so conclusion II and either I or III follow.