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What is the three-digit number? I. Three-fifths of the number is less than the number by 90. II. One-fourth of the number equals 25% of the number.

Difficulty: Easy

Statement I alone is sufficient; Statement II alone is not
Statement II alone is sufficient; Statement I alone is not
Either Statement I alone or Statement II alone is sufficient
Both statements together are necessary
Even both statements together are not sufficient

Correct Answer: Statement I alone is sufficient; Statement II alone is not

Explanation:

Introduction / Context:
We must determine a unique 3-digit number.

Reasoning:

I: Let N be the number. N − (3/5)N = 90 ⇒ (2/5)N = 90 ⇒ N = 225 (valid 3-digit). Sufficient.
II: “One-fourth equals 25%” is an identity true for any N, giving no information. Insufficient.

Final Answer:
Statement I alone is sufficient; Statement II alone is not.

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