There are five tea manufacturing companies namely A B C D and E I The production of Company B i...........

Logical Reasoning(Master ) Data Sufficiency

There are five tea manufacturing companies namely A, B, C, D and E.

I. The production of Company B is more than that of Company A but not more than that of company E.

II. Production of Company C is more than the production Company B but not as much as that of company D.

III. Production of E is not as much as the production of company D.

Which of these statements is/are sufficient to answer the question that production of which of the following companies is the highest?

Statement (I) and Statement (II) together are sufficient.

Any two statements together are sufficient.

Either statement (I) and statement (II) together or statement (III) are statement

All the statement (I), statement (II) and statement (III) together are sufficient.

None is sufficient.

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Explanation:

Statement 1: The production of Company B is more than that of Company A but not more than that of company E.
Inference: E > B > A
Statements 2: Production of Company C is more than the production Company B but not as much as that of company D.
Inference: D > C > B
Statement III: Production of E is not as much as the production of company D.
Inference: D > E
Taking statements I and II together, we get that there are three possibilities, as show below:
Possibility 1: E > D > C > B > A;
Possibility 2: D > C > E > B > A;
Possibility 3: D > E > C > B > A
Taking all three statements we get that there are two possibilities, as show below
Possibility 1: D > C > E > B > A
Possibility 2: D > E > C > B > A
Here we get that D’s production is highest.
Hence, all three statement are sufficient to the answer the question.