# Question 5

## Question 5

Question 5 :

To escape Quacky Turtle, Mario used a tunnel which was full of dirty water. To go out, he realized he had to drain all the water away, and immediately, he noticed that the valve box was locked by the lock shown below.15 plates numbered 1 to 15 were kept in the nearby rack, with the instruction, “The distance from plate numbered 1 to plate numbered 2 will be less than the distance from plate numbered 2 to plate numbered 3, which is less than the distance from 3 to 4, and so on”. Placing the plates on the unshaded circles, satisfying the conditions on board, find out the value of a+b (where a and b are the numbers to be filled in the indicated circles).

Note : Here Distance is calculated from centre of One Circle to centre to another Circle

(a)10 (b)12 (c)14 (d)16

To escape Quacky Turtle, Mario used a tunnel which was full of dirty water. To go out, he realized he had to drain all the water away, and immediately, he noticed that the valve box was locked by the lock shown below.15 plates numbered 1 to 15 were kept in the nearby rack, with the instruction, “The distance from plate numbered 1 to plate numbered 2 will be less than the distance from plate numbered 2 to plate numbered 3, which is less than the distance from 3 to 4, and so on”. Placing the plates on the unshaded circles, satisfying the conditions on board, find out the value of a+b (where a and b are the numbers to be filled in the indicated circles).

Note : Here Distance is calculated from centre of One Circle to centre to another Circle

(a)10 (b)12 (c)14 (d)16

**TECHNOTHLON**- Admin
- Posts : 39

Join date : 2016-07-19

## Re: Question 5

I am 100% sure that answer of this particular question will be 16..I will tell the method tomorrow

**Ayush**- Guest

## Re: Question 5

If we see from the centre then the the maximum distance horizontally and vertically can be 4 and minimum can be 0.

Possiblities with A^2 + B^2 for finding the order

0,4 16

1,4 17

2,4 20

3,4 25

4,4 32

0,3 09

1,3 10

2,3 13

3,3 18

0,2 04

1,2 05

2,2 08

0,1 01

1,1 02

which are 14 possibilities and that means all will be used in this puzzle as no two distance can be equal.

So there will be 4,4 difference in 14,15... 3,4 in 13 ,14 and so on...

Now we start from the sides and write variable for which positions are possible, then we see different positions possible and continue till we reach one solution. WE go back from it to fill all the remaining squares and we will get a=6 and b=10 Answer will be 16

I will post other solutions soon

Possiblities with A^2 + B^2 for finding the order

0,4 16

1,4 17

2,4 20

3,4 25

4,4 32

0,3 09

1,3 10

2,3 13

3,3 18

0,2 04

1,2 05

2,2 08

0,1 01

1,1 02

which are 14 possibilities and that means all will be used in this puzzle as no two distance can be equal.

So there will be 4,4 difference in 14,15... 3,4 in 13 ,14 and so on...

Now we start from the sides and write variable for which positions are possible, then we see different positions possible and continue till we reach one solution. WE go back from it to fill all the remaining squares and we will get a=6 and b=10 Answer will be 16

I will post other solutions soon

**Ayush1234567**- Posts : 30

Join date : 2016-07-21

## Re: Question 5

thank you for the solution,,,,that 8 mark mark full or nil question was really tempting

**shaurya**- Posts : 11

Join date : 2016-07-21

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