Solve this multiple-choice question and choose the correct option.

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.

Curioustab

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.

Verbal Reasoning Data Sufficiency Difficulty: Easy

Choose an option

A

Statement I alone is sufficient; Statement II alone is not
B

Statement II alone is sufficient; Statement I alone is not
C

Either Statement I alone or Statement II alone is sufficient
D

Both statements together are necessary
E

Even both statements together are not sufficient

Answer

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.

← Previous Next Question →

Discussion & Comments

No comments yet. Be the first to comment!