NIMCET 2010
Select the alternative in which the third statement is implied by the first two statements.
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option B — All oranges are black. All figs are oranges. So all figs are black.
Detailed Solution
In (B), figs lie inside oranges and oranges lie inside black things, so all figs are black: the conclusion follows.
(A) Dogs and sick persons are both inside 'mad' but need not overlap. (C) The doors that are dogs may lie outside the windows. (D) Two negative statements give no conclusion.
✓ Check
In the diagram for (B) no fig can be placed outside 'black'.⚠ Common trap
(A) treats 'both groups share a property' as 'one group is the other' (the undistributed middle).
Quick tip
All A are B and all B are C give all A are C; two premises sharing only the predicate give nothing.
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Ask a doubtMore Syllogism Questions
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Syllogism — Preparation
This question tests your understanding of Syllogism, a key topic in the Logical Reasoning section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
Syllogism questions give two or more statements and ask which conclusions follow from them. You must accept the statements as true, even if they contradict real-world facts. This topic covers statements with "All", "Some" and "No", "only a few" type statements, and possibility conclusions such as "Some A can be B". The Venn diagram method is the most reliable approach. Draw every possible arrangement that satisfies the statements, and accept a conclusion only if it holds in every diagram. A possibility conclusion follows if it is true in at least one valid diagram. Knowing the standard rules, such as "All + All = All" and "Some + All = Some", speeds things up once you are confident with the diagrams. Practise the syllogism questions below. Each solution includes a Venn diagram.