ead the given statements and find which of the conclusions given below, follows them: Statements: All G’s are B’s All B’s are W’s Conclusions: i. Some B’s are G’s. ii. Some W’s are G’s. iii. Some G’s are not W’s. iv. All W’s are B’s.Choices:- i and ii follow i and iii follow iii and iv follow iii follows
Question
ead the given statements and find which of the conclusions given below, follows them: Statements: All G’s are B’s All B’s are W’s Conclusions: i. Some B’s are G’s. ii. Some W’s are G’s. iii. Some G’s are not W’s. iv. All W’s are B’s.Choices:- i and ii follow i and iii follow iii and iv follow iii follows
Solution
The correct answer is "i and ii follow".
Here's the step by step reasoning:
Statements:
- All G’s are B’s
- All B’s are W’s
From these statements, we can infer that all G's are also W's because all G's are B's and all B's are W's.
Conclusions: i. Some B’s are G’s. - This is true because all G's are B's, so at least some B's are G's. ii. Some W’s are G’s. - This is true because all G's are W's, so at least some W's are G's. iii. Some G’s are not W’s. - This is false because all G's are W's. iv. All W’s are B’s. - This is false because while all B's are W's, not all W's are necessarily B's.
So, only conclusions i and ii follow from the given statements.
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