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What is the two-digit number? Statement I: The number is even and lies between 60 and 70. Statement II: The number is a perfect square lying between 60 and 70. Which statement(s) is/are sufficient to answer the question?

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

Step-by-Step Solution

From II the only perfect square between 60 and 70 is 64. Statement I allows 62, 64, 66 and 68, so it is not sufficient.
Answer: A) Statement II alone is sufficient but Statement I alone is not

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