SSC CGL 2024 Tier-I · 9 September 2024, Shift 2 · General Intelligence and Reasoning · Question 7 of 100

Text as printed on a candidate's response sheet for this shift; answer per SSC's tentative key as marked on that sheet. Solution last reviewed 5 September 2026.

Where this paper and its answers come from

SSC does not publish CGL question papers or a public answer key. The questions and options here are reproduced as printed on a candidate's own response sheet for this shift — the Commission's text, unchanged. Each answer is SSC's tentative key as marked on that sheet; SSC allowed challenges to it and never publishes a final key. The solutions are written by UnlockIAS.

In this question, three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All fans are brown. Some brown are chairs. Some chairs are plastic. Conclusions: I.Some brown are fans. II.Some chairs are brown. III.No chair is plastic.

(a)Only conclusions II and III follow.
(b)Only conclusion III follows.
(c)None of the conclusions follows.
(d)Only conclusions I and II follow.

Answer

Why

Correct — D. Rule: 'All A are B' converts to 'Some B are A'; 'Some A are B' converts to 'Some B are A'.

I. From 'All fans are brown', brown things that are fans exist, so 'Some brown are fans' follows.

II. From 'Some brown are chairs', 'Some chairs are brown' follows — a particular affirmative converts freely.

III. 'No chair is plastic' denies the given statement 'Some chairs are plastic', which you are told to assume true. It cannot follow.

So I and II only.

Why the others are wrong

(a)
Only conclusions II and III follow. — II does follow, but III denies a statement you were instructed to assume true. No option containing III can be right, so this pairing dies on III alone.
(b)
Only conclusion III follows. — It keeps III, the direct denial of 'Some chairs are plastic', and throws away I and II, which are both plain conversions of the statements.
(c)
None of the conclusions follows. — It rejects I and II, but a universal affirmative converts to a particular affirmative and a particular affirmative converts to itself reversed. Both follow.

Concept

Two conversion rules carry this whole item.

'All A are B' converts only to 'Some B are A' — never to 'All B are A'. 'Some A are B' converts to 'Some B are A'. Both are immediate inferences: no second statement, no diagram.

Separately, a conclusion that contradicts a given statement is dead on arrival, because the instruction is to assume the statements true even where they clash with the world.

The three statements form a chain — fans to brown to chairs to plastic — which invites a Venn diagram. Neither valid conclusion needs the chain; each comes from a single statement.

Key facts

'All A are B' converts to 'Some B are A'.
'Some A are B' converts to 'Some B are A'.
A conclusion that denies a given statement never follows, whatever a diagram appears to allow.

Study next

Conversion of 'No A are B' and 'Some A are not B'The Venn method for three statements with possibility conclusionsEither-or complementary pairs, where neither conclusion follows alone but one of them must hold

Common traps

Reading 'All fans are brown' as 'All brown are fans' and then rejecting conclusion I as too strong
Drawing the diagram before striking out the conclusion that contradicts a premise
Confusing what follows with what is merely possible

SSC usually plants one conclusion that simply denies a given statement; strike it out first and the option list often halves. The same shift runs a harder version at Reasoning Q.15, where the keyed answer is that neither conclusion follows.

Related PYQs

No directly related past PYQ was found.