Question

There is a set of parcels A to F to be handled in a logistics company. Find the heaviest parcel among them.
I) B is lighter than E but heavier than D.
II) D is heavier than A, C and F.

• A. Statement I alone is sufficient to answer the question
• B. Statement II alone is sufficient to answer the question.
• C. Statement I and II together are sufficient to answer the question but neither statement alone is sufficient.
• D. Statement I and II together are not sufficient to answer the question and additional data is required.

Hint:

In ranking problems, merge inequalities step-by-step to form a complete chain and identify extremes like highest or lowest.

Answer 1

The Correct Option is C

Concept: In comparison problems, we arrange elements using given inequalities. To find the heaviest, we need a complete or sufficient partial order.
Step 1: Analyze Statement I alone.
Given: \[ D<B<E \] No information about A, C, F. Hence, cannot determine the heaviest.
Statement I alone is NOT sufficient.
Step 2: Analyze Statement II alone.
Given: \[ D>A, C, F \] No comparison with B and E. Hence, cannot determine the heaviest.
Statement II alone is NOT sufficient.
Step 3: Combine both statements.
From I: \[ D<B<E \] From II: \[ D>A, C, F \] Combining: \[ A, C, F<D<B<E \] Thus, E is the heaviest parcel.
Hence, both statements together are sufficient, but neither alone is sufficient.