Question

A. If Kumar sings, then the audiences sleep.
B. If Kumar sings, then the audiences dance.
C. Unless audience do not dance, the concert will be successful.
D. Only if the audience dance, the concert will be successful.
E. If Vina dances, then Kumar sings.
F. Kumar sings only if Vina dances.
G. Vina dances
H. The concert is successful.

• A. C, F, G, B and H
• B. A, C, F, G and H
• C. E, C, G, B and H
• D. Both (2) and (3)

Answer 1

The Correct Option is C

To solve this logical reasoning problem, we will analyze each statement provided and identify the consistent ones that logically lead to the conclusion without any contradictions. 

1. A: If Kumar sings, then the audience sleeps.
   We know Kumar sings, but we need to examine other outcomes derived from it.
2. B: If Kumar sings, then the audience dances.
   This suggests the audience dances as Kumar sings.
3. C: Unless the audience does not dance, the concert will be successful.
   Rephrased: The concert is successful if the audience dances. This is consistent as we assume the audience dances and thus, the concert is successful.
4. D: Only if the audience dances, the concert will be successful.
   This reaffirms that dancing leads to a successful concert.
5. E: If Vina dances, then Kumar sings.
   Given Vina dances, Kumar also sings which aligns with the scenario.
6. F: Kumar sings only if Vina dances.
   Again consistent because Vina dancing is a premise.
7. G: Vina dances.
   A confirmed statement.
8. H: The concert is successful.
   Achieved by the audience dancing.

Upon analyzing, sequences E (Vina dances, so Kumar sings), C (the concert succeeds if the dance happens), G (Vina dances), B (with Kumar singing, the audience also dances), and H (the result of a successful concert) are constant. Thus, the correct solution aligns with the option:

E, C, G, B, and H