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What is the two-digit number N? Statement I: The sum of the two digits of N is 9. Statement II: The number N is 63.

Competition practiceData Sufficiency
  • AEither statement alone is sufficient
  • BStatement II alone is sufficient but Statement I alone is not
  • CStatement I alone is sufficient but Statement II alone is not
  • DBoth statements together are needed (neither alone is sufficient)

Step-by-Step Solution

A digit sum of 9 fits many numbers (18, 27, 36, ...), so I is insufficient. II names the number directly.
Answer: B) Statement II alone is sufficient but Statement I alone is not

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