Question

In Mr.Smith's class, what is the ratio of the number of boys to the number of girls?
(1) There are $3$ times as many girls as boy sin Mr. Smith's class.
(2) The number of boys is $\frac{1}{4}$ of the total number of boys and girls in Mr. Smith's class.

• 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 D Each statement alone is sufficient.

Statement 1 states that there are $3$ times as many girls as boys in Mr. Smith's class. So, boys and girls are in the ratio $1:3$. From statement 2, assuming boys as 'b' and girls as 'g', we get the equation, . Solving this equation, we get the ratio of boys and girls as $1:3$.