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What is the two-digit number? Statement I: The sum of its two digits is 9, and the tens digit is twice the units digit. Statement II: The number is greater than 50.

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

Step-by-Step Solution

In I, tens = 2 units and tens + units = 9 give units = 3, tens = 6, so the number is 63. II allows many numbers above 50.
Answer: B) Statement I alone is sufficient but Statement II alone is not

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