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Data Sufficiency — Packing Ice Cubes in a Rectangular Tray How many ice cubes fit in a container? I. The container’s length and breadth are 20 cm and 15 cm, respectively. II. The edge of each ice cube is 2 cm.

Difficulty: Medium

Statement I alone is sufficient.
Statement II alone is sufficient.
Both statements I and II together are necessary to answer the question.
Both statements I and II together are not sufficient.
Either statement I alone or statement II alone is sufficient.

Correct Answer: Both statements I and II together are not sufficient.

Explanation:

Introduction / Context:
Fitting unit cubes requires all three container dimensions.

Given Data / Assumptions:

I: Only length and breadth (no height/depth).
II: Cube edge is 2 cm.

Concept / Approach:
Count = floor(L/2) * floor(B/2) * floor(H/2). Height H is missing; hence even I+II are insufficient.

Step-by-Step Solution:

1) From I: L=20, B=15 ⇒ floor(20/2)=10; floor(15/2)=7; height factor absent.2) From II: cube size known but container height unknown.

Why Other Options Are Wrong:
I alone or II alone obviously insufficient; “both together necessary” is incorrect because they still do not suffice.

Data Sufficiency — Packing Ice Cubes in a Rectangular Tray How many ice cubes fit in a container? I. The container’s length and breadth are 20 cm and 15 cm, respectively. II. The edge of each ice cube is 2 cm.

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