# CAT 2021 Exam Question Papers Slot 1 | CAT Quants

### CAT Quantitative Aptitude | CAT 2021 Question Papers

CAT Question Papers: Solving CAT Question Papers from prior years will give CAT 2022 applicants invaluable insight into the examination format, question pattern, and level of difficulty. The CAT 2021 exams were held in three slots.

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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:

3).

The number of groups of three or more distinct numbers that can be chosen from 1, 2, 3, 4, 5, 6, 7 and 8 so that the groups always include 3 and 5, while 7 and 8 are never included together is

### Explanation

Out of 1, 2, 3, 4, 5, 6, 7 and 8, the groups always include 3 and 5. So, instead of choosing groups of three or more from the compete set,

choose group of distinct numbers of at  least one out of 1, 2, 4, 6, 7, 8 = 26 - 1 = 63

Out of this, subtract ways of choosing from 1, 2, 4, 6 to form group in which 3, 5, 7, 8 are always there.  Number of such groups = 24  = 16

So, required number of groups i.e., of three or more distinct numbers that can be chosen from 1, 2, 3, 4, 5, 6, 7 and 8 so that the groups always include 3 and 5, while 7 and 8 are never included together is  = 63 – 16 = 47

Ans: (47)