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. The street number where Sunny lives is of 3 digits. Is the street number greater than 500? I. All three digits of the street number are different odd numbers. II. No number larger than the current street number can be formed with the three digits of the street number, by taking any other arrangement of them.

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.

The street number where Sunny lives is of 3 digits. Is the street number greater than 500?

I. All three digits of the street number are different odd numbers.

II. No number larger than the current street number can be formed with the three digits of the street number, by taking any other arrangement of them.

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:

All three digits of the street number are different odd numbers.

Number can be 357 or 573 or 579, and so on. It cannot be concluded if it is greater than 500 or not.

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

From statement II:

No number larger than the current street number can be formed with the three digits of the street number, by taking any other arrangement of them.

It means that if digits of number are 1, 2 and 4, then number will be 421.

Such numbers can be 421, 562, 891, 321, and so on. It cannot be concluded if it is greater than 500 or not.

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

From statements I and II together:

All three digits of the street number are different odd numbers. No number larger than the current street number can be formed with the three digits of the street number, by taking any other arrangement of them.

Smallest possible three digit number with different odd digits and satisfying this property will be 531.

⇒ Number must be greater than 500.

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

Solution

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