# Question 21 & Question 22

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## Question 21 & Question 22

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

(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

**TECHNOTHLON**- Admin
- Posts : 39

Join date : 2016-07-19

## Re: Question 21 & Question 22

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!

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!

**Swagh**- Guest

## Re: Question 21 & Question 22

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

**Ayush1234567**- Posts : 30

Join date : 2016-07-21

## Re: Question 21 & Question 22

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

**Swagh**- Posts : 3

Join date : 2016-07-21

## Re: Question 21 & Question 22

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

**Himanshu Kumar**- Guest

## Re: Question 21 & Question 22

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.

Because n can be 1 and 3 as well. So the answer of 22 is a) all natural numbers.

**Himanshu Kumar**- Guest

## 5 is the answer

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**shaurya**- Posts : 11

Join date : 2016-07-21

## Doubt myself.....

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

**Raghib and shaheer**- Guest

## Re: Question 21 & Question 22

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

**Ayush1234567**- Posts : 30

Join date : 2016-07-21

## Re: Question 21 & Question 22

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

**Tejas**- Guest

## Re: Question 21 & Question 22

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

**SidRis**- Guest

## QUESTION 21

THE ANSWER TO THE QUESTION NO 21 SHOULD BE (B)

PLEASE REPLY TO TELL ME WHY IT IS (C)

PLEASE REPLY TO TELL ME WHY IT IS (C)

**JE12510084**- Guest

## Score

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

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

**We Tried**- Guest

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