Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

By how many inches is Heath taller than Stacy?

I. Stacy is 9 inches shorter than Ricky.

II. Heath is neither taller nor shorter than Ricky.

A The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C The data in statement I alone or in statement II alone is sufficient to answer the question.

D The data in both the statements I and II is not sufficient to answer the question.

E The data in both the statements I and II together is necessary to answer the question.

Solution

Correct Answer: Option E

From statement I:

Stacy is 9 inches shorter than Ricky. No comparison between Heath and Stacy can be drawn.

∴ Statement I alone is not sufficient to answer the question.

From statement II:

Heath is neither taller nor shorter than Ricky. So, Heath’s height is equal to Ricky. No comparison between Heath and Stacy can be drawn.

∴ Statement II alone is not sufficient to answer the question.

From statements I and II together:

Stacy is 9 inches shorter than Ricky. Heath is neither taller nor shorter than Ricky. So, Heath’s height is equal to Ricky.

Stacy is 9 inches shorter than Heath; or Heath is 9 inches taller than Stacy.

∴ Using both the statements together, we can answer the given question.

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