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CAT 2019 Set Theory — Previous Year Question

Year

CAT 2019

Section

Quantitative

Topic

Set Theory

Difficulty

Medium

Question

Slot-1

A bag contains marbles of three colours-red, blue and green. There are 88 blue marbles in the bag.

There are two additional statement of facts available:

1)1) If we pull out marbles from the bag at random, to guarantee that we have at least 33 green marbles, we need to extract 1717 marbles.

2)2) If we pull out marbles from the bag at random, to guarantee that we have at least 22 red marbles, we need to extract 1919 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"?

Statement 11 alone is sufficient, but statement 22 alone is not sufficient to answer the question.

Statement 22 alone is sufficient, but statement 11 alone is not sufficient to answer the question.

Statements 11 and 22 together are not sufficient, and additional data is needed to answer the question.

Each statement alone is sufficient to answer the question.

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