In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.Statements:Some pears are mangoes.All mangoes are grapes.All pears are fruits.Conclusions:I. Some pears are grapes.II. Some mangoes are fruits.
- AOnly conclusion I follows.
- BBoth conclusions I and II follow.
- COnly conclusion II follows.
- DNeither conclusion I nor II follows
Solution & Step-by-step Explanation
Let's analyze the statements using standard Venn diagrams or logical deductions:Some pears are mangoes There is an intersection between Pears and Mangoes.All mangoes are grapes The entire Mango circle lies inside the Grapes circle. Since some pears are mangoes, those pears that are mangoes must also be grapes. Therefore, Some pears are grapes is definitely true. Thus, Conclusion I follows.All pears are fruits The entire Pears circle lies inside the Fruits circle. Since some pears are mangoes, the intersecting part between pears and mangoes must also lie within fruits. Therefore, Some mangoes are fruits is definitely true. Thus, Conclusion II follows.Since both conclusions I and II follow, the correct option is B.