Question

Question :
a, b and c are three numbers. Which is the largest number? Statements:
I. The sum of the squares of a, b and c is 371 and the difference between the largest and the smallest number is 10.
II. The square of the largest number exceeds the sum of the squares of the other two numbers by 79.

• A. Statement I alone is sufficient
• B. Statement II alone is sufficient
• C. Both the statements I and II together are necessary
• D. Both the statements I and II together are not sufficient

Hint:

In problems involving numbers and their relationships, ensure you have all the necessary details to calculate or determine the exact value, such as specific equations or conditions.

Answer 1

The Correct Option is D

Statement I provides some information about the sum of squares and the difference between the largest and smallest number, but does not directly provide the largest number.
Statement II provides a condition involving the largest number, but it is still not enough by itself to conclusively determine the largest number. Combining both statements does not lead to a sufficient answer.