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What is the two-digit number N? Statement I: The sum of the digits of N is 12. Statement II: The tens digit of N is three times its units digit, and its digits sum to 12. Which statement(s) is/are sufficient to answer?

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

Step-by-Step Solution

Statement I allows many numbers (39, 48, 57, 66, 75, 84, 93). Statement II gives tens = 3 × units with a digit sum of 12, so units = 3 and tens = 9, i.e. N = 93.
Answer: A) Statement II alone is sufficient but Statement I alone is not

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