(i)
(ii)
(iii)
Which of the following options is correct?
B
Step-by-Step Solution
Insight: "A creative person will succeed if disciplined, but not otherwise" means: if creative, then (succeed iff disciplined).
Exam route: Translate the English sentence step by step. "Creative person will succeed if disciplined" gives . "But not otherwise" adds . Together: . Check which option matches.
Learning route:
Step 1: Parse the sentence structure.
"A Creative (C) person will Succeed (S) if the person is also Disciplined (D), but will not succeed otherwise."
The phrase "but not otherwise" is the key. It means the condition is both necessary and sufficient.
Step 2: Translate the "if" part.
"will succeed if disciplined" (within the context of being creative).
Step 3: Translate the "but not otherwise" part.
"will not succeed otherwise" (within the context of being creative).
Step 4: Combine 2 and 3.
.
Step 5: Apply the context.
The whole rule applies to creative people, so: .
Step 6: Evaluate the given statements.
(i) : This means , which is not equivalent. For example, if , the original gives (vacuously), but (i) gives . Wait, let me check : original gives , (i) gives . Let me check : original gives , (i) gives . Not equivalent. So (i) is FALSE.
(ii) : This is exactly what we derived. TRUE.
(iii) : Simplify the right side. . So (iii) becomes , which means must be true. This is not equivalent to . FALSE.
Answer: Only (ii) is TRUE, which is option B.