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What is the two-digit number? Statement I: The sum of its two digits is 8. Statement II: Its tens digit is three times its units digit.

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

Step-by-Step Solution

I allows 17, 26, 35, 44, 53, 62, 71, 80; II allows 31, 62, 93. Only 62 satisfies both, so both statements together are needed.
Answer: B) Both statements together are needed (neither alone is sufficient)

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