Multiple choice

Directions: This data sufficiency problem consists of a question and two statements labelled (1) and (2). You have to decide whether the data given in the statements is sufficient for answering the question. Find the total surface area of the cone. (1) Radius of the cone is 7 cm. (2) Slant height of the cone is 14 cm.

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

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

  3. Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

  4. Each statement alone is sufficient.

  5. Statements (1) and (2) together are not sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Surface area of a cone = pi*r*(r + l). We need both radius (r) and slant height (l). Statement 1 gives r, Statement 2 gives l. Both are needed.

AI explanation

The total surface area of a cone is found using the formula pi*r*(r + l), which requires both the radius r and the slant height l. Statement (1) provides the radius but lacks the slant height, while statement (2) provides the slant height but lacks the radius. Therefore, both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

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