Question 21 & Question 22

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Question 21 & Question 22

Post by TECHNOTHLON on Wed Jul 20, 2016 6:19 pm

Mario finally comes face to face with the evil dragon Bowser, who is ready to kill him, but, like all villains, he likes to play games before killing. So he throws up his favorite L-tromino challenge.
(Hint : An L-tromino is a 2 × 2 tile with one unit square removed)



Question 21 :
He changes the floor into a plate as shown below. And says his L-Tromino has 3 ground squares and 1 hole. He says that he has used 8 L-Trominos on the floor and just 1 1x1 single warp tile, which can take him to the next level. However, the problem is that the warp tile looks like the ground tiles, exactly alike.
How many positions could the warp tile possibly be?
(a)1 (b)5 (c)9 (d)25

Question 22 :
For the final challenge, Bowser asks, “For which integers n, does there exist a shape which can be tiled using 2 × 1 dominoes in exactly n different ways?”
(a) All Natural Numbers (b) n is power of 2 (c) n is an even number (d) n = 2,4

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Re: Question 21 & Question 22

Post by Pulkit on Thu Jul 21, 2016 8:54 pm

21. d)25
26. c)n is an even no.

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Re: Question 21 & Question 22

Post by Swagh on Thu Jul 21, 2016 9:35 pm

Yes 21) d
22) a .....my and partners bad luck we came accross the correct logic and then times up ...but later calmly solved in 25 secs and ans justbwe got!

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Re: Question 21 & Question 22

Post by Ayush1234567 on Thu Jul 21, 2016 9:39 pm

Can someone help em with 21........ And 22 also

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Re: Question 21 & Question 22

Post by Swagh on Thu Jul 21, 2016 9:50 pm

Basically you have get what is meant by L tromino its like a 2*2 square frome which one 1*1 square is removed and rest is the question you get is twisted but was very easy! ... I still regret for not marking 22

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Re: Question 21 & Question 22

Post by Q.E.D on Fri Jul 22, 2016 3:54 pm

Answer of ques. 21 is surely (b.) 9

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Re: Question 21 & Question 22

Post by Himanshu Kumar on Fri Jul 22, 2016 5:42 pm

No, answer of 21 is surely 1. There's only one position the warp tile could possibly be.

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Re: Question 21 & Question 22

Post by Himanshu Kumar on Fri Jul 22, 2016 5:45 pm

And 22) is not c option.
Because n can be 1 and 3 as well. So the answer of 22 is a) all natural numbers.

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Shivam Mittal

Post by Shivam Mittal on Fri Jul 22, 2016 6:15 pm

Definitely QUES 21-A
QUES 22-B

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5 is the answer

Post by shaurya on Fri Jul 22, 2016 10:48 pm

q-21......for all those saying 1,,i assume that u mean only the center piece can be the warp tile......check out for central edge pieces (1,3)(3,1)(5,3)(3,5)  where (row, column)...only for the cases mentioned above,, would L-tromino tiles fit properly.......along with the central tile possibility.... and none of the other possible places of warp tile would result in perfect fitting of el tromino tiles,,,,try it out if you want to by arranging the tiles thus the answr is 5

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Doubt myself.....

Post by Raghib and shaheer on Sat Jul 23, 2016 1:09 am

hey, any techno veteran out there? What is , approximately, the marks I need to get to reach the second round. The ones who attempted the paper previous year may be able to enlighten me. I am expecting 'bout 29 + 3n..... still didnt get the caterers scheme btw.... what does n stand for

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Re: Question 21 & Question 22

Post by Ayush1234567 on Sat Jul 23, 2016 6:23 am

Last year cutoff was around 37-40 and this year the paper being tough, you may have a chance

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Re: Question 21 & Question 22

Post by Q.E.D on Sat Jul 23, 2016 8:44 pm

Sorry I meant (c.) 9

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q 21 and 22

Post by gaurav on Sat Jul 23, 2016 9:22 pm

ans of q21 is 9 and q22 is all natural no surely all natural no
Very Happy Very Happy Very Happy

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Re: Question 21 & Question 22

Post by Vedantsaboo on Sun Jul 24, 2016 3:02 pm

21)c. All the tiles cannot have the warp

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Re: Question 21 & Question 22

Post by JE18010126 on Sun Jul 24, 2016 3:03 pm

No it's 1 is in the center

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Re: Question 21 & Question 22

Post by Niyati on Sun Jul 24, 2016 5:54 pm

I am sure its 9 and all natural numbers

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Re: Question 21 & Question 22

Post by JE18010126 on Sun Jul 24, 2016 5:56 pm

How 9

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Re: Question 21 & Question 22

Post by Tejas on Mon Jul 25, 2016 9:14 am

Answer is 1 for 21 because there will be only 1 tile left in the centre

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Re: Question 21 & Question 22

Post by Parth on Mon Jul 25, 2016 2:42 pm

Answer key where is it

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Re: Question 21 & Question 22

Post by SidRis on Mon Jul 25, 2016 3:00 pm

It is very very surely 9. It ought to be. And the second part must be n=2,4.

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goner

Post by raghib a samee on Mon Jul 25, 2016 3:43 pm

ill get 15 im a goner

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Re: Question 21 & Question 22

Post by JE18010126 on Mon Jul 25, 2016 3:44 pm

Answer key out!!!!
I am getting 14

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QUESTION 21

Post by JE12510084 on Mon Jul 25, 2016 4:07 pm

THE ANSWER TO THE QUESTION NO 21 SHOULD BE (B)
PLEASE REPLY TO TELL ME WHY IT IS (C)

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Score

Post by We Tried on Tue Jul 26, 2016 9:19 am

I scored 15 marks and hence have lost this competition totally and utterly.... We all had dreams of clearing this exam but they were short lived... me and my partner were idiotic and attempted way to many questions, we lost more than 12 marks in stupid negative marking... Good Game, and I hope that I may have a chance at Mains once in my Life lol

P.S Also post your scored here.... if a lot of us post here, then we will have a better idea of our chances of victory in this examination

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Re: Question 21 & Question 22

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