Difficulty: Medium
Correct Answer: Statement II alone is sufficient to answer the question but Statement I alone is not.
Explanation:
Introduction / Context:
This is an order-comparison Data Sufficiency question. We must decide if the given statements allow us to identify the shortest person uniquely, using the base relations from the stem.
Given Data / Assumptions:
Concept / Approach:
Combine the base facts with each statement independently to see whether a unique shortest person emerges.
Step-by-Step Solution:
With II: Shyam > Vikram and Jay < Vikram ⇒ Jay is shorter than Vikram, who is shorter than Shyam. From the base, Ram > Shyam, so the complete order is Jay < Vikram < Shyam < Ram. The shortest is Jay ⇒ II alone is sufficient.With I: Ram is tallest, and we know Ram > Shyam. But we do not know how Shyam compares to Jay (we only know Jay < Vikram) or how Vikram compares to Shyam. Jay could be shorter than all, or Shyam could be shorter than Jay, leaving ambiguity ⇒ I alone is not sufficient.
Verification / Alternative check:
Construct examples consistent with I where different shortest persons are possible, confirming insufficiency of I alone.
Why Other Options Are Wrong:
Claiming that I suffices contradicts the ambiguity; claiming both are needed is false because II alone already resolves the order.
Common Pitfalls:
Ignoring the base relationships embedded in the stem when evaluating each statement independently.
Final Answer:
Statement II alone is sufficient; Jay is the shortest.
Discussion & Comments