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How many students are in the class? Statement I: If 4 more students are added, the total becomes a perfect square lying between 40 and 50. Statement II: The number of students is 45.

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

Step-by-Step Solution

The only perfect square between 40 and 50 is 49, so from I the count is 49 - 4 = 45. II states 45 directly. Each alone works.
Answer: D) Either statement alone is sufficient

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