Among the four men in an office- Raj, Vaibhav, Sunil, and Anshul, who is the…

Concept: In a data-sufficiency question, a statement (or a combination of statements) is sufficient only when it lets you determine one single, unambiguous answer to the question asked. If, even after using the given information, more than one outcome remains possible, that data is insufficient.

Application

1. From Statement I alone: Sunil is shorter than Raj, and Raj is shorter than Vaibhav, giving the partial order Sunil < Raj < Vaibhav. Anshul's height is not mentioned at all, so we cannot tell whether Anshul is the tallest of all four or the shortest — Statement I alone does not fix a unique tallest person.

2. From Statement II alone: Anshul is taller than Vaibhav. Nothing here connects Raj or Sunil to Anshul, so either of them could still be taller than Anshul for all this statement tells us — Statement II alone also does not fix a unique tallest person.

3. Combine both statements: Statement I gives Sunil < Raj < Vaibhav, and Statement II adds Vaibhav < Anshul. Chaining these together produces one continuous order: Sunil < Raj < Vaibhav < Anshul.

4. This combined order names exactly one person, Anshul, as strictly taller than the other three — a single, unambiguous answer to “who is tallest.”

Cross-check: Try to build any alternative arrangement that still satisfies both statements (Sunil < Raj < Vaibhav and Vaibhav < Anshul) without Anshul being tallest — it is not possible, since Anshul must sit above Vaibhav, who already sits above both Raj and Sunil. This confirms the combined data is sufficient and gives exactly one outcome.

Result: Since neither statement alone fixes a unique tallest person, but the two together do, “Both the statements when put together are sufficient” is the correct choice.