Question 4

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Question 4

Post by TECHNOTHLON on Thu Jul 21, 2016 10:45 am

Question 4 :
Impressed by Mario's answer, Quacky drags him into a chamber for a challenge. Chamber has two cells, A and B, with m dogs in one cell and n dogs in another. He also has a magical Dog Killer, which allows him to kill any number of dogs from any one of the cells or kill equal number of dogs from both the cells. For example, he can kill 4 dogs from A or 7 dogs from B or 3 dogs from both A and B. For winning the challenge, Mario must be the one killing the last dog. However, he realises that Quacky also has the same magical Dog Killer, and would take turns with him in order to try and get him killed.Quacky asks Mario to do the first move.How many dogs should Mario kill in his first move if cell A houses 12 dogs and B 15 dogs so that he can survive?
(a) 10 (b) 14 (c) 16 (d) 12

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I think

Post by Parth on Thu Jul 21, 2016 7:32 pm

I think the answer should be a.10

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Re: Question 4

Post by Parth on Thu Jul 21, 2016 7:37 pm

It is like Mario will kill 5 dogs from both

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Re: Question 4

Post by Pulkit on Thu Jul 21, 2016 8:43 pm

yes it is coorect it would be 10 only

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Re: Question 4

Post by Ayush on Thu Jul 21, 2016 9:25 pm

I got the answer as 10 too.....I will try to post my solution tomorrow...

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Re: Question 4

Post by Himanshu Kumar on Fri Jul 22, 2016 5:18 pm

No, 10 is wrong.
The answer is 12, I'm sure.

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THE answer

Post by Utdal on Fri Jul 22, 2016 7:36 pm

I think the answer should be 16.

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Shivam Mittal

Post by Shivam Mittal on Sat Jul 23, 2016 10:07 pm

Ya 10 is correct

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Re: Question 4

Post by The answers.org on Sat Jul 23, 2016 10:18 pm

Answer is sure 16.Note that both 2,1 and 5,3 are winning pairs.So if he eats 8 dogs from both then
4 and 7 dogs are left
If Quacky eats 1 dog from the room with 4 dogs then it becomes 3
and mario can convert the no.of dogs in room b to 5
If he eats 2 or 3 dogs from room A then Mario can covert no. of dogs in second room to 1 or 2 Making him win
So U can make cases like this and observe he will always win Very Happy Very Happy Very Happy Very Happy Very Happy Exclamation

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My opinion

Post by Aryan Mundada on Sun Jul 24, 2016 4:18 pm

The answer must be 14. This can be easily found out by using a method known as 'Winning Position Method". The way is by removing 7 and 7 from both the sides.

Reference: Mathematical Circles(*Russian Experience).

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Re: Question 4

Post by JE18010126 on Sun Jul 24, 2016 4:39 pm

What is the page no on this book??

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Come on!!

Post by SidRis on Mon Jul 25, 2016 2:41 pm

The answer is 10. The turtle is not a fool (as you may have guessed while solving the paper) and so will always try to win, and in all the cases except 10, Mario loses. Try this game out with matchsticks with some wise person and get the answer for yourself!

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Re: Question 4

Post by logicalruler on Tue Jul 26, 2016 6:11 am

i am getting 20 marks.Will i get selected

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Re: Question 4

Post by AmolB on Tue Jul 26, 2016 10:11 pm

The Answer should be 10 .

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Re: Question 4

Post by saptarshi on Fri Jul 29, 2016 7:58 pm

I also think it would be 14

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Re: Question 4

Post by saptarshi on Fri Jul 29, 2016 7:58 pm

I also think it would be 14

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