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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. A set of 7 consecutive natural numbers is chosen. What will be the square of their sum? I. All numbers have 3 digits except the smallest number. II. Largest number is a multiple of 15.

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. A set of 7 consecutive natural numbers is chosen. What will be the square of their sum? I. All numbers have 3 digits except the smallest number. II. Largest number is a multiple of 15. Correct Answer 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.

From statement I:

All numbers have 3 digits except the smallest number. So, smallest number must be 99, as numbers are consecutive. Numbers will be from 99 to 105. Their sum be found and then square of the sum can be found.

∴ Statement I alone is sufficient to answer the question.

From statement II:

Largest number is a multiple of 15. Largest number can be 45, 60, 75 and so on. Numbers cannot be found uniquely, and hence square of their sum.

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

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