Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow[s] from the statements. Statements: Some mangoes are apples. All apples are grapes. No pear is a mango. Conclusions: (I) Some grapes are mangoes. (II) No grape is a pear.
Option 1: Both conclusions (I) and (II) follow
Option 2: Neither conclusion (I) nor (II) follows
Option 3: Only conclusion (I) follows
Option 4: Only conclusion (II) follows
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Correct Answer: Only conclusion (I) follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some grapes are mangoes – From the Venn diagram, it is evident that the two circles representing grapes and mangoes overlap and have a part of their area in common. So, this conclusion follows. Conclusion (II): No grape is a pear – From the Venn diagram, it is evident that there is no direct relation between grapes and pears. Thus, no definite relation can be drawn. So, this conclusion does not follow.
So, the only conclusion I follows. Hence, the third option is correct.
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Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow[s]
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from
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