TROUBLE WITH FLOWERS
The tourist guide at Parthenon takes you to an abandoned tunnel. And here you fi nd an inscribed stone and a bowl of colored fl owers. Suddenly you hear a deep and ancient gong ringing as you start reading the Stone Of Instructions. The instructions read as follows:
Every person entering the Temple of Athena will be given a bowl with 15 red fl owers and 12 yellow fl owers.
Each time the Gong of Time rings, he/she must do one of two things:
1. Exchange: If he has at least 3 red flowers in his bowl, then he may exchange 3 red fl owers for 2 yellow fl owers.
2. Swap: He may replace each yellow flower in his bowl with a red fl ower and replace each red flower in his bowl with a yellow flower. That is, if he starts with i red flowers and j yellow fl owers, then after he performs this operation, he will have j red fl owers and i yellow flowers.
[You can leave the tunnel only when you make all the combinations (no. of red, no. of yellow) of fl owers that are possible].
Question 4:
After how many operations will you have 5 each of red and yellow flowers?
(A) 5
(B) 10
(C) 15
(D) None of the above
Question 5:
What is the number of combinations you need to make to leave the tunnel?
(A) 27
(B) 52
(C) 54
(D) None of the above
The next day, on your way back from Parthenon, you see an owl injured under a large, old tree. You decide to save the owl and x its wing, so you take it along with you. Later you get to know that owl needs to reach IIT Guwahati, India as soon as possible. Realizing how dangerous it could be for the owl to travel to India, you decide to help the owl reach its destination.
