Direction: The following consists of a question and two statements numbered I…
2023
Direction: The following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
It is 8.00 pm, when can Hemant get the next bus for Ramnagar from Dhanpur?
I. Buses for Ramnagar leave after every 30 minutes, till 10 pm.
II. Fifteen minutes ago, one bus has left for Ramnagar.
- A.
If the data in Statement I alone are sufficient to answer the question.
- B.
If the data in both the statements together are needed to answer the question.
- C.
If the data in Statement II alone are sufficient to answer the question.
- D.
If the data in either Statement I or Statement II alone are sufficient to answer the question.
Attempted by 1 students.
Show answer & explanation
Correct answer: B
Concept: In a Data Sufficiency question, a statement (or set of statements) is 'sufficient' only when it lets you compute one unique answer to the question. When one statement supplies a fixed reference point (an anchor) and another supplies a rule or rate that is meaningful only relative to that anchor, neither piece is independently decisive — both must be combined to fix a single answer.
From Statement I alone: buses run "every 30 minutes, till 10 pm" — this fixes only the interval between buses, not the clock time of any actual departure, so Statement I alone cannot tell us exactly when today's next bus leaves.
From Statement II alone: a bus left 15 minutes before 8.00 pm, i.e. at 7.45 pm — this fixes one reference (anchor) time, but without knowing the interval, we cannot say how long after 7.45 pm the next bus leaves.
Combining both: the last bus left at 7.45 pm (Statement II) and buses run every 30 minutes (Statement I), so the next bus leaves at 7.45 pm + 30 minutes = 8.15 pm.
Cross-check: 8.15 pm falls before the last service at 10 pm from Statement I, confirming the combined reading is consistent.
Since only the combination of Statement I (interval) and Statement II (anchor time) pins the exact next-departure time of 8.15 pm, both statements together — and neither alone — are necessary to answer the question.