Question

A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all?

• A. $9$
• B. $18$
• C. $27$
• D. $36$

Answer 1

The correct option is A $9$

There were all sparrows but six means that six birds were not sparrows but only pigeons and ducks.
Similarly, number of sparrows $+$ number of ducks $=6$ and number of sparrows $+$ number of pigeons $=6$.
This is possible when there are $3$ sparrows, $3$ pigeons and $3$ ducks i.e. $9$ birds in all.