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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. What is the value of two digit natural number N? I. N is a mutiple of 13. II. N is not a composite number.

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. What is the value of two digit natural number N? I. N is a mutiple of 13. II. N is not a composite number. Correct Answer Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.

From statement I:

N is a multiple of 13. It can be 13, 26, 39, and so on. But, N cannot be determined uniquely.

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

From statement II:

N is not a composite number. So, N can be any prime number or it can be 1(note that 1 is neither prime nor composite). But, N cannot be determined uniquely.

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

From statements I and II together:

N is a mutiple of 13. It can be 13 or any multiple of 13 less than 100.

N is not a composite number. So, N can be any prime number or it can be 1(note that 1 is neither prime nor composite).

Any multiple of 13 will be composite, except 13 itself. Also, 1 is not a multiple of 13. So, only possible value N can take is 13.

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

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