In the following question below are given three statements followed by three 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: Some umpires are cricketers. Some cricketers are bowlers. Some bowlers are batsman. Conclusions: I. Some cricketers are batsman. II. No cricketers are batsman. III. No umpires are bowlers.
In the following question below are given three statements followed by three 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: Some umpires are cricketers. Some cricketers are bowlers. Some bowlers are batsman. Conclusions: I. Some cricketers are batsman. II. No cricketers are batsman. III. No umpires are bowlers. Correct Answer Either I or II follows.
The least possible Venn diagram is given below:
[ alt="F1 5dc2e5f1f60d5d0adf76124b Taniya.D 27-07-2020 Savita Dia" src="//storage.googleapis.com/tb-img/production/20/07/F1_5dc2e5f1f60d5d0adf76124b_Taniya.D_27-07-2020_Savita_Dia.png" style="width: 335px; height: 45px;">
Conclusions:
I. Some cricketers are batsman → False (the possibilities are true but not defined).
II. No cricketers are batsman → False (the possibilities are true but not defined).
III. No umpires are bowlers. → False (the possibilities are true but not defined).
As the conclusion I and II are complementary pairs so either or case is followed.
Hence, the correct answer is either I or II follows.