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.
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. Correct Answer 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.