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What is the two-digit number M? Statement I: M is a multiple of 8. Statement II: M is a perfect square lying between 60 and 70. Which statement(s) is/are sufficient to answer?

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

Step-by-Step Solution

I allows many multiples of 8. II fixes M uniquely: the only perfect square between 60 and 70 is 64.
Answer: A) Statement II alone is sufficient but Statement I alone is not

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