Each question is followed by two statements I and II Mark the answer 1 If the questio...........

Math and Mental Ability Data Sufficiency

Each question is followed by two statements, I and II. Mark the answer:

1. If the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.

2. If the question can be answered by using either statement alone.

3. If the question can be answered by using both statements together, but cannot be answered using either statement alone.

4. If the question cannot be answered even by using both statements together.

Radius of base of a cone is 4.2 cm, what is the volume of the cone?

I. The ratio of slant height to the height is 1.25: 1.

II.The ratio of the total surface area to volume is 1.5: 1.

छोटे Courses बड़े Results

Master Data Sufficiency

Prepare through Micro-courses

Try Now

Explanation:

- We are given: Radius (r) = 4.2 cm. Need to find the volume of the cone.

- Statement I: Gives the ratio of slant height (l) to vertical height (h). Using r and this ratio, we can find h (since l = 1.25h and r is known, use Pythagoras).

- Statement II: Gives the ratio of total surface area (TSA) to volume. With r known, and TSA/Volume known, we get an equation with one variable (height), so we can also solve for h.

- Using either statement alone allows us to compute h, and then compute the volume (V = (1/3)pr²h).

- So, each statement is independently sufficient.

Correct answer: Option 2