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: A. All papayas are fruits. B. Some fruits are vegetables. C. All vegetables are vegan. Conclusions: i Some vegetables are papayas. ii. Some vegans are fruits. iii. Some vegans are papayas. iv. Some fruits are papayas.

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: A. All papayas are fruits. B. Some fruits are vegetables. C. All vegetables are vegan. Conclusions: i Some vegetables are papayas. ii. Some vegans are fruits. iii. Some vegans are papayas. iv. Some fruits are papayas. Correct Answer Only (ii) and (iv) follow

The least possible Venn diagram is:          

[ alt="F2 Puja T 11-11-21 Savita D2" src="//storage.googleapis.com/tb-img/production/21/11/F2__Puja%20T_11-11-21_Savita_D2.png" style="width: 238px; height: 111px;">

Conclusions:

i Some vegetables are papayas. → False (As, there is no definite relation between vegetables and papayas. Hence, false)

ii. Some vegans are fruits. → True (As, Some fruits are vegetables and All vegetables are vegan → Some vegans are fruits)

iii. Some vegans are papayas. → False (As, there is no definite relation between vegans and papayas. Hence, false)

iv. Some fruits are papayas. → True (As, All papayas are fruits → Some fruits are papayas)

Hence, only (ii) and (iv) follow.

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