NIMCET 2020
If there are no dancers that aren’t slim and no singers that aren’t dancers, then which statements are always true? Choose the correct answer
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option B — All singers are slim
Detailed Solution
'No dancers that aren't slim' means all dancers are slim; 'no singers that aren't dancers' means all singers are dancers.
So Singers lie inside Dancers, which lie inside Slim: all singers are slim, statement (B).
✓ Check
The diagram allows slim people outside the Dancers circle, so (A) 'every slim person is a dancer' and (C) 'every slim person is a singer' are not forced.⚠ Common trap
(A) reverses the first statement: 'all dancers are slim' does not mean 'all slim people are dancers'.Quick tip
, so all singers are slim
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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.