Question

Do at least 60 percent of the students in Pat's class walk to school?
(1) At least 60 percent of the female students in Pat's class walk to school.
(2)The number of students in Pat's class who walk to school is twice the number of students who do not walk to school.

• A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
• B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
• C. Both statements together are sufficient, but neither statement alone is sufficient.
• D. Each statement alone is sufficient.
• E. Statements (1) and (2) together are not sufficient.

Answer 1

The correct option is B Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

From statement 2, the number of students in Pat's class who walk to school is twice the number of students who do not walk to school. Assuming the total number of students as $100$ and $x$ as the number of students who do not walk to school, we get the equation $x+2x=100;x=33$. This concludes that more than $60\%$ of the students in Pat's class walk to school. Thus, statement 2 alone is sufficient to answer the question.