What is the value of sum of squares of both the numbers?

    I. The sum of both the numbers is 128.

    II. The H.C.F and L.C.M of the two numbers are 8 and 504 respectively.

  • If the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question
  • If the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question.
  • If the data in both the statements I and II together are sufficient to answer the question.
  • If the data either in statements I or in statement II alone are sufficient to answer the question.
  • If the data in both the statements together are not sufficient to answer the question
  • Explanation:

    From Statement II

    Let the numbers be 8x and 8y

    We know that H.C.F. × L.C.M = Product of two numbers

    8 × 504 = 8x ×8y

    8×8×63 = 8x ×8y

    64 × 63 = 8x ×8y

    Comparing the values, we get the numbers 63 and 64.

     


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What is the value of sum of squares of both the numbers? I. The sum of both the numbers is 128. II
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