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What is the two-digit number N? Statement I: N is a multiple of both 4 and 6. Statement II: N lies between 20 and 30.

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 means N is a multiple of 12 (12, 24, 36, ...); II alone spans many numbers. Together the only multiple of 12 between 20 and 30 is 24.
Answer: C) Both statements together are needed (neither alone is sufficient)

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