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What is the value of the number N? Statement I: N is a two-digit multiple of 12. Statement II: N is a perfect square. Which statement(s) is/are sufficient to answer?

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

Step-by-Step Solution

I allows 12, 24, 36, 48, 60, 72, 84, 96 and II allows many squares. The only two-digit multiple of 12 that is a perfect square is 36, so both are needed.
Answer: D) Both statements together are needed (neither alone is sufficient)

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