In the following question below are given some statements followed by some conclusions based on those statements. 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. All prime are even. II. Some even are odd. Conclusions: I. Some odd are prime. II. All odd are even. III. No odd is prime.?

Both conclusion II and III follows
Only conclusion III follows
Only conclusion II follows
Either conclusion I or III follows

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : Either conclusion I or III follows

the least possible Van diagram for the given statement is as follows,

[ alt="F1 P.K 10.4.20 Pallavi D 4" src="//storage.googleapis.com/tb-img/production/20/04/F1_P.K_10.4.20_Pallavi_D%204.png" style="width: 184px; height: 56px;">

Conclusion:

I. Some odd are prime → False (No direct relation given, false)

II. All odd are even → False ()

III. No odd is prime → False ()

Conclusion I and III makes complementary pair for either.

Thus, Either conclusion I or III follows.

4 views Answered 2022-09-04 04:29

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