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

Data Sufficiency — Reading progress: How many pages of book X did Robert read on Sunday? Statement I: The book has 300 pages, of which two-thirds were read by Robert before Sunday. Statement II: Robert read the last 40 pages of the book on Monday morning. Decide which statements are sufficient to answer the question. Choose the correct sufficiency option.

Verbal Reasoning Data Sufficiency Difficulty: Medium

Choose an option

Statement I alone is sufficient, but Statement II alone is not sufficient.
Statement II alone is sufficient, but Statement I alone is not sufficient.
Both statements I and II together are sufficient, but neither alone is sufficient.
Either statement I or statement II alone is sufficient.
Even both statements I and II together are not sufficient.

Answer

Correct Answer: Both statements I and II together are sufficient, but neither alone is sufficient.

Explanation

LetTotal pages = 300.

From Statement IRead before Sunday = (2/3) × 300 = 200 pages.

From Statement IIRead on Monday morning = last 40 pages.

Compute Sunday pages(Before Sunday) + (Sunday) + (Monday) = Total200 + (Sunday) + 40 = 300 ⇒ (Sunday) = 60 pages.

ConclusionNeither statement alone is enough, but together they yield the exact count.

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