Question : Directions: Two statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
1. All apples are mangoes.
2. Some bananas are mangoes.
Conclusions:
I. Some mangoes are bananas.
II. Some mangoes are apples.
III. No mango is an apple.
Option 1: Only conclusions I and III follow
Option 2: Either conclusion I or III follows
Option 3: Only conclusions I and II follow
Option 4: Only conclusion II follows
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Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some mangoes are bananas – From the Venn diagram, the circle of mango has some part of the circle of banana. Therefore, this conclusion is true.
Conclusion II:
Some mangoes are apples – From the Venn diagram, the circle of the mango covers the circle of mango. Therefore, this conclusion is true.
Conclusion III:
No mango is an apple – From the Venn diagram, there is no direct negative relation given between mango and apple. So, no negative relation can be drawn between mango and apple. Therefore, this conclusion is false.
So, only conclusions I and II follow. Hence, the third option is correct.
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