Question

The question contains six statements followed by four sets of combination of three. Choose the set in which the statements are logically related.

Statements:
(i) All mangoes are fruits.
(ii) All mangoes are green.
(iii) All mangoes are oval shaped.
(iv) All fruits are sweet.
(v) All mangoes are sweet.
(vi) All fruits are expensive.

• A. i, ii, iii
• B. i, iv, v
• C. ii, iii, iv
• D. iv, v, vi

Hint:

Look for two statements sharing one common class that links them, then see which statement is the result of that chain with the common class removed.

Answer 1

The Correct Option is B

Every statement in this question has the shape All A are B, which is the easiest kind to handle. Picture each class as a circle. All A are B means circle A sits fully inside circle B. A logically related set is one where two such placements force a third one.

1. Option (A), i, ii, iii: Mangoes are fruits, mangoes are green, mangoes are oval. Three separate facts about the same circle, with nothing linking fruits to green or to oval. No conclusion can be drawn, so this fails.
2. Option (B), i, iv, v: The mango circle sits inside the fruit circle by (i). The fruit circle sits inside the sweet circle by (iv). A circle inside a circle inside a third circle must lie in the outermost one, so the mango circle lies inside the sweet circle. That is exactly (v), all mangoes are sweet. Valid.
3. Option (C), ii, iii, iv: Green mangoes and oval mangoes on one side, sweet fruits on the other. Colour and shape have no link to sweetness in these statements, so nothing follows.
4. Option (D), iv, v, vi: Statements (iv) and (vi) both start from fruits, so fruits is a shared subject and not a bridge. They give no route to mangoes, which do not appear in either. So (v) cannot be derived.

Only option (B) has premises whose circles nest into the conclusion, so it is the answer.

Let us summarize:

• All A are B means circle A lies inside circle B, and nested circles chain together.
• Mangoes inside fruits, and fruits inside sweet things, forces mangoes inside sweet things.
• The linking term, fruits here, must appear in both premises and disappear from the conclusion.

So the correct set is i, iv, v.