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What is the two-digit number? Statement I: It is a perfect square lying between 20 and 30. Statement II: Its digits add up to 7 and it lies between 20 and 30.

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

Step-by-Step Solution

The only perfect square between 20 and 30 is 25, so I alone works. In the 20s, only 25 has digits summing to 7, so II alone also gives 25.
Answer: D) Either statement alone is sufficient

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