In the question below are given two statements followed by three conclusions I, II and III. You have to take 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 conclusions logically follows from the given statements disregarding commonly known facts. Statements: All pens are red. All red are pencils. Conclusions: I. All pens are pencils. II. All pencils are pens. III. At least some pencils are red.?

Only I follow
Only II follow
Only III follow
Both I and III follow
None of these

LohaHridoy

7 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : Both I and III follow

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

[ alt="18.09.2018.001001" src="//storage.googleapis.com/tb-img/production/18/09/18.09.2018.001001.PNG" style="height:124px; width:146px">

Conclusions:

I. All pens are pencils → True (as shown in the diagram)

II. All pencils are pens → False (it is possible but not definite)

III. At least some pencils are red → True (as shown in the diagram)

Therefore, both conclusions I and III follow.

7 views Answered 2022-09-04 04:29

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