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.

Difficulty: Medium

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.

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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