Question

If the two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?
1) Each step is $\frac{3}{4}$ foot high.
2) Each step is 1 foot wide.

• 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 A Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Arithmetic Arithmetic operations

(1) If each step in the set of stairs is $\frac{3}{4}$ foot high and the set of stairs rises 9 feet from the first floor to the second, the number of steps must be $9÷\frac{3}{4},or\frac{9}{1}\times \frac{4}{3}=\frac{36}{3}=12$; SUFFICIENT.

(2) This provides no information regarding the height of the steps, and so the question cannot be answered; NOT sufficient.

The correct answer is A;

statement 1 alone is sufficient.