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What is the two-digit number? I. The number is 34.
II. The sum of the digits of the number is 7.

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

Step-by-Step Solution

Statement I names the number 34 outright. Statement II (digit sum 7) fits many numbers such as 16, 25, 34 and 43, so it is not sufficient alone.
Answer: C) Statement I alone is sufficient but Statement II alone is not

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