Letters and Letter BoxesCAT Previous-Year Questions

4 previous-year questions on Letters and Letter Boxes from CAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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4 questions

Letters and Letter Boxes · CAT PYQs

CAT 2022 Slot 1 · QA
Q1.

The number of ways of distributing 20 identical balloons among 4 children such that each child gets some balloons but no child gets an odd number of balloons, is

CAT 2021 Slot 2 · QA
Q2.

The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is 

CAT 2017 Slot 1 · QA
Q3.

In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?

CAT 2017 Slot 2 · QA
Q4.

In how many ways can 8 identical pens be distributed among Amal, Bimal, and Kamal so that Amal gets at least 1 pen, Bimal gets at least 2 pens, and Kamal gets at least 3 pens?