Question

How many pages of book X did Robert read on Sunday?
I. The book has 300 pages out of which two-thirds were read by him before Sunday.
II. Robert read the last 40 pages of the book on the morning of Monday.

• A. If the statement I alone is sufficient to answer the question.
• B. If the statement II alone is sufficient to answer the question.
• C. If the statements I and II together are sufficient to answer the question but neither statement alone is sufficient.
• D. If the statements I and II together are not sufficient to answer the question and additional data is required.

Hint:

When solving problems involving fractions of a total, break the problem into manageable steps. First calculate the known quantities and then subtract from the total to find the unknown.

Answer 1

The Correct Option is C

Let the total number of pages in the book be 300.
- From condition I, two-thirds of the book was read by Robert before Sunday. Therefore, the number of pages read by him before Sunday is:
\[ \frac{2}{3} \times 300 = 200 \, \text{pages} \] - From condition II, Robert read the last 40 pages on Monday. This means that the number of pages Robert read on Sunday is the remainder of the book after subtracting the 200 pages read before Sunday and the 40 pages read on Monday:
\[ 300 - 200 - 40 = 60 \, \text{pages} \] Thus, Robert read 60 pages on Sunday.
Therefore, the correct answer is \( \boxed{3} \).