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What is the two-digit number? Statement I: The number is a multiple of 7 lying between 20 and 40. Statement II: The sum of its digits is 8. Which statement(s) is/are sufficient to answer?

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

Step-by-Step Solution

I gives {21, 28, 35}; II alone allows many numbers. Together, only 35 has digit sum 8, so both are needed.
Answer: A) Both statements together are needed (neither alone is sufficient)

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