On which day of the week did Sohan reach Mumbai? I. Sohan left Delhi by train…
2025
On which day of the week did Sohan reach Mumbai?
I. Sohan left Delhi by train on Wednesday.
II. Sohan stayed in Jaipur for one day and completed his journey in two days
- A.
Statement I alone is sufficient, but statement II alone is not sufficient
- B.
Statement II alone is sufficient, but statement I alone is not sufficient
- C.
Either I or II is sufficient
- D.
Both I and II are needed
Show answer & explanation
Correct answer: D
Concept: In Data Sufficiency questions, a statement is sufficient only when it alone supplies enough information to reach one definite answer. When neither statement alone reaches a unique answer but together they do, the correct choice is that both statements are needed.
Application: Statement I fixes only the day Sohan left Delhi (Wednesday); it says nothing about how long the journey took, so the arrival day cannot be found from it alone. Statement II fixes only the length of the journey (a one-day halt in Jaipur as part of an overall two-day journey); it says nothing about which day the journey started, so the arrival day cannot be found from it alone either. Combining the two, start day Wednesday plus a two-day journey, the arrival day works out to Wednesday + 2 days, which is Friday.
Cross-check: Testing each statement in isolation confirms neither is enough: Statement I alone leaves the duration unknown, and Statement II alone leaves the start day unknown. Only the combination pins down a single day.
Conclusion: Both statements I and II, taken together, are needed to determine that Sohan reached Mumbai on Friday.