Two statements are given and some conclusions are given as well. Assume the given statements to be true even if they differ from commonly known facts and decide which of the given conclusion(s) is/are logical from the given statements. Statements: I. All houses are locks. II. All locks are shoes. Conclusion: I. Some locks are houses. II. All locks are houses. III. Some shoes are houses. IV. No shoes are houses.?

Only conclusion I is logical.
Conclusions I and III are logical.
Conclusions II and IV are logical.
Only conclusion III is logical.

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : Conclusions I and III are logical.

The least possible Venn diagram using given statements is,

[ alt="F1 S.Y Deepak 18.10.2019 D 6" src="//storage.googleapis.com/tb-img/production/19/10/F1_S.Y_Deepak_18.10.2019_D%206.png" style="width: 137px; height: 138px;">

Conclusion 1: “Some locks are houses” → true (This is definitely true)

Conclusion 2:”All locks are houses” → false (This is possible but not definite)

Conclusion 3: “Some shoes are houses” → true (This is definitely true)

Conclusion 4:”No shoes are houses” → false (This is definitely false)

Hence, only conclusion 1 and conclusion 3 follow.

4 views Answered 2022-09-04 04:29

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