In the question below are given four statements followed by four conclusions I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: Some apples are bananas. All bananas are mangoes. No mango is a fruit. All vegetables are fruits. Conclusions: I. No banana is a fruit. II. No mango is a vegetable. III. No fruit is an apple. IV. All fruits are apples.?

Option 5 : Only I and II follow.

The least possible Venn diagram for the given statements is as follows,

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Conclusions:

I. No banana is a fruit → True (All bananas are mangoes and No mango is a fruit).

II. No mango is a vegetable → True (All vegetables are fruits and no mango is a fruit).

III. No fruit is an apple → False (It is possible but not definite).

IV. All fruits are apples → False (It is possible but not definite).