When the birds sat one on a branch, there was one extra bird. When they sat Two to a branch one branch was extra.
Now, we go through the options;
Checking option (a);
If there were 3 branches, there would be 4 birds. (This would leave one bird without branch as per the question.)
When 4 birds would sit Two to a branch there would be one branch free (as per the question.). Hence, the option (a) is correct.
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