Multiple choice

Directions: The following problem consists of a question and two statements giving certain data. You have to decide whether the data given in the statements is sufficient for answering the question and then choose the correct option. A thoroughly blended biscuit mix includes only flour and baking powder. What is the ratio of the number of grams of baking powder to the number of grams of flour in the mix? (A) Exactly 9.9 grams of flour is contained in 10 grams of the mix. (B) Exactly 0.3 gram of baking powder is contained in 30 grams of the mix.

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

  2. Statement (B) alone is sufficient but statement (A) alone is not.

  3. Both (A) and (B) together are sufficient, but none of them alone is sufficient.

  4. Both (A) and (B) independently are sufficient.

  5. Both (A) and (B) together are not sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement (A) provides the ratio of flour to the total mix, which allows calculating the ratio of baking powder to flour. Statement (B) provides the ratio of baking powder to the total mix, which also allows calculating the ratio of baking powder to flour. Since both statements independently allow for the determination of the ratio, both are sufficient.

AI explanation

The question asks for the ratio of baking powder to flour, meaning we need the specific amounts of both components in the mixture. Statement (A) provides the amount of flour in a given amount of mix, which allows us to subtract that amount from the total to find the amount of baking powder, making it independently sufficient. Statement (B) provides the exact amount of baking powder in a given amount of mix, allowing us to subtract it from the total to find the amount of flour, which also makes it independently sufficient. Therefore, both statements independently are sufficient to find the required ratio.

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