Data Sufficiency: Marbles in a Bag

XAT 2019 · QADI · Medium · Data Sufficiency

All XAT 2019 questionsMore Data Sufficiency questionsAll CAT QADI

A bag contains marbles of three colours—red, blue and green. There are 8 blue marbles in the bag.

There are two additional statement of facts available:

  • Statement 1: If we pull out marbles from the bag at random, to guarantee that we have at least 3 green marbles, we need to extract 17 marbles.
  • Statement 2: If we pull out marbles from the bag at random, to guarantee that we have at least 2 red marbles, we need to extract 19 marbles.

Which of the two statements above, alone or in combination shall be sufficient to answer the question "how many green marbles are there in the bag"?

  1. A.

    Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question.

  2. B.

    Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question.

  3. C.

    Statements 1 and 2 together are not sufficient, and additional data is needed to answer the question.

  4. D.

    Each statement alone is sufficient to answer the question.

  5. E.

    Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace