Technothlon'16 Prelims Discussion Forum
Would you like to react to this message? Create an account in a few clicks or log in to continue.

Question 4

3 posters

Go down

Question 4 Empty Question 4

Post by TECHNOTHLON 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

TECHNOTHLON
Admin

Posts : 39
Join date : 2016-07-19

https://technothlon2016.forumotion.com

Back to top Go down

Question 4 Empty I think

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

I think the answer should be a.10

Parth
Guest


Back to top Go down

Question 4 Empty Re: Question 4

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

It is like Mario will kill 5 dogs from both

Parth
Guest


Back to top Go down

Question 4 Empty Re: Question 4

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

yes it is coorect it would be 10 only

Pulkit

Posts : 10
Join date : 2016-07-21

Back to top Go down

Question 4 Empty Re: Question 4

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

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

Ayush
Guest


Back to top Go down

Question 4 Empty Re: Question 4

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

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

Himanshu Kumar
Guest


Back to top Go down

Question 4 Empty THE answer

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

I think the answer should be 16.

Utdal
Guest


Back to top Go down

Question 4 Empty Shivam Mittal

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

Ya 10 is correct

Shivam Mittal
Guest


Back to top Go down

Question 4 Empty Re: Question 4

Post by The answers.org 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

The answers.org
Guest


Back to top Go down

Question 4 Empty My opinion

Post by Aryan Mundada 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).

Aryan Mundada
Guest


Back to top Go down

Question 4 Empty Re: Question 4

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

What is the page no on this book??

JE18010126
Guest


Back to top Go down

Question 4 Empty Come on!!

Post by SidRis 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!

SidRis
Guest


Back to top Go down

Question 4 Empty Re: Question 4

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

i am getting 20 marks.Will i get selected

logicalruler
Guest


Back to top Go down

Question 4 Empty Re: Question 4

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

The Answer should be 10 .

AmolB

Posts : 1
Join date : 2016-07-26

Back to top Go down

Question 4 Empty Re: Question 4

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

I also think it would be 14

saptarshi
Guest


Back to top Go down

Question 4 Empty Re: Question 4

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

I also think it would be 14

saptarshi
Guest


Back to top Go down

Question 4 Empty Re: Question 4

Post by Sponsored content


Sponsored content


Back to top Go down

Back to top

- Similar topics

 
Permissions in this forum:
You cannot reply to topics in this forum