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: I. Some pen are black. II. Some pen are blue. III. No black is red. Conclusions: I. No pen is red. II. Some blue are black. III. Some black are pens.?

Only I
Only II
Only III
Only II and III

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : Only III

Consider the following least possible Venn diagram,

[ alt="14 sep 2017 S2 10" src="//storage.googleapis.com/tb-img/production/18/07/14_sep_2017_S2_10.PNG" style="height:100px; width:390px">

Conclusions:

I. No pen is red → False (It is possible but not definite).

II. Some blue are black → False (It is possible but not definite).

III. Some black are pens → True (It is definitely true as some black are pens).

Hence, only III follows.

5 views Answered 2022-09-04 04:29

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