Thursday 23 July 2015

Hauts and Junior: Trouble With Flowers


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.

10 comments:

  1. The answers are
    4) D
    5) B
    Kindly check and reply

    ReplyDelete
    Replies
    1. Your answers are correct.

      Delete
  2. Solution to Question 1.
    You have total 27 flowers. You need to have 5 red and 5 yellow flowers, i.e., total 10 flowers. If you use "exchange", you will reduce 1 flower from your total flowers. If you use " swap", the total number of flowers will remain the same. Therefore, to reduce number of flowers from 27 to 10, you need to make at least 17 moves. So the number of moves is greater than or equal to 17.. So the answer is none of these.

    ReplyDelete
  3. My all of the answers here are probably correct.
    Check and see i've answered the rest too.
    I will post all solutions 1 by 1 on days -- Tuesday, Wednesday, Saturday i.e., tomorrow.
    Stay tuned.

    ReplyDelete
  4. For solutions go to www.technothlonanswers.blogspot.com

    ReplyDelete
  5. For the second ques, if you perform d operations alternately itself there will be 54 combinations. If one operation is repeated continuously there will be combinations that dont repeat. Please provide the solution. I think it will be none of these

    ReplyDelete
    Replies
    1. yes even i got the same answer so i marked none of these

      Delete
  6. @Technothlon He can only leave the tunnel when he makes all possible combinations.
    I would like to use two of the combinations.
    1) 12-14
    When he uses Exchange
    2)9-17
    When he first does swap and then exchange.

    If we choose one of the ways,We cannot bring the other combination.So it is not possible for him to come out.So,the answer should be None of these.

    Please check this out and reply as soon as possible.

    ReplyDelete
    Replies
    1. If solution is what you all need then please wait for a few days till the discussion ends.

      Delete