CAT/2001

Question . 239

On her walk through the park, Hamsa collected 50 coloured leaves, all either maple or oak. She sorted them by category when she got home, and found the following :

* The number of red oak leaves with spots is even and positive

* The number of red oak leaves without any spot equals the number of red maple leaves without spots

* All non-red oak leaves have spots, and there are five times as many of them as there are red spotted oak leaves

* There are no spotted maple leaves that are not red

* There are exactly 6 red spotted maple leaves

* There are exactly 22 maple leaves that are neither spotted nor red

How many oak leaves did she collect?