Read the following statement carefully and identify the conclusion that follows. Statement: All musicians are artists. Some artists are dancers. No dancer is blind. Conclusions: I. Some artists are not blind. II. All blind are not dancers.
- (a)Only I follows
- (b)Only II follows
- (c)Both I and II follow
- (d)Neither I nor II follows
Answer
Why
Correct — B. SSC's key marks Only II follows.
Rule: a 'No' statement reads both ways: No A is B means No B is A.
'No dancer is blind' reversed is no blind person is a dancer.
That is what 'All blind are not dancers' says, so II follows.
The key credits conclusion II alone → option (b). Conclusion I is the step it does not credit; see the key note on this card.
Why the others are wrong
- (a)Only I follows — Only I leaves out conclusion II, which is certain: 'No dancer is blind' reversed says that no blind person is a dancer.
- (c)Both I and II follow — Both I and II is not what the key marks: SSC credits conclusion II alone. Whether I also follows is the point the key note on this card takes up.
- (d)Neither I nor II follows — Neither misses conclusion II, the direct reversal of 'No dancer is blind'. A 'No' statement always converts, so II is certain.
Concept
Conversion: 'No A is B' gives 'No B is A'. Read as 'no blind person is a dancer', conclusion II is the third statement reversed.
Some + No: 'Some A are B' with 'No B is C' gives 'Some A are not C', because the A's that are B's cannot be C's.
The first statement, 'All musicians are artists', is not needed for either conclusion.
Conclusion I has the Some + No shape: some artists are dancers, and no dancer is blind.
SSC's key still marks Only II, and this card is written to the key. The key note on this card records the other reading.
Key facts
- 'No A is B' converts to 'No B is A'.
- 'Some A are B' with 'No B is C' gives 'Some A are not C'.
- 'Some A are B' with 'No B is C' does not give 'No A is C', because the A's outside B are unconstrained.
Study next
Common traps
- Reading 'All blind are not dancers' as a new claim instead of the third statement reversed.
- Looking for blindness in the first statement, when the second and third carry every link that matters.
The same template is set at 20 Sep 2025, 09:00, Reasoning Q.8 (All poets are writers. Some writers are critics. No critic is a fool.), where 'Some writers are not fools' is keyed to follow.
At 24 Sep 2025, 16:00, Reasoning Q.14, with lions, wild, dangerous and tame, 'Some wild are not tame' is keyed to follow.
Related PYQs
No directly related past PYQ was found.