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What is the two-digit number? Statement I: When its digits are reversed the number decreases by 36, and the sum of its digits is 10. Statement II: The number is greater than 50. Which statement is sufficient to answer?

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

Step-by-Step Solution

In I, a reversal drop of 36 means the tens digit exceeds the units digit by 4; with a digit sum of 10 the digits are 7 and 3, giving 73. II allows many numbers.
Answer: D) Statement I alone is sufficient but Statement II alone is not

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