Hidden Wallet of Question Mark

After recent events, Question Mark is annoyed with his brother, Skid Mark. Skid thought it would be funny to hide Question's wallet. 

He told Question that he would get it back if he finds it. So, first off, Skid laid five colored keys in a row. One of them is a key to a room where Skid is hiding Question's wallet. 

Using the clues, can you determine the order of the keys and which is the right key? 

Red: This key is somewhere to the left of the key to the door. 

Blue: This key is not at one of the ends. 

Green: This key is three spaces away from the key to the door (2 between).

Yellow: This key is next to the key to the door. 

Orange: This key is in the middle.

Logical Steps to know the RIGHT key are here!

Key to Get Question Mark's Wallet

Why to find Question Mark's Wallet?

Let's take a look at the given clues once again - 

1.Red: This key is somewhere to the left of the key to the door. 

2.Blue: This key is not at one of the ends. 

3.Green: This key is three spaces away from the key to the door (2 between). 

4.Yellow: This key is next to the key to the door.

5.Orange: This key is in the middle. 

Now, let's draw a table of locations and color of keys as below - 

From Clue No.5, it's clear that the orange key is in the middle.

As per Clue No.3, the green key is three spaces away from the key to the door (right key) (2 between). So, the possible positions of green and right keys
are -

Since as per Clue No.4, yellow key is next to the key to the door, the key to the door can't be positioned at 2 or 5. Hence, it might be positioned at 1 or 4 with Green key at 4 or 1.

But as per Clue No.1, red key is somewhere to the left of the key to the door. For that, the right key can't be positioned at 1 as in that case, no position would be left for the red key as per clue.

Hence, Green key must be at 1 and right key at 4.

 
And now as per Clue No. 4, yellow key is next to right key.

As per Clue No.1, red key is somewhere left to the right key,hence it must be at position 2.

And as per Clue No.2, blue isn't at either end. Rather blue key is the only key left. So, the position left for it is position 4 which is of Right key. Hence, Blue key itself is RIGHT key to the door of room where Question Mark's wallet is placed.

Just Try To Crack It!

Can you tell the correct key?

Here is the step-by-step process!

Source 

Cracking of The Code in Steps...

What was the challenge?

Let's number the clues as 1, 2, 3.

Now following step by step process here onward. 

1. The numbers 3 & 1 are common in first & third combinations. Now both must not be the part of original number as in that case Clue 1 will be invalid. 

2. If numbers 3 & 1 are not correct in third combination then the correct 2 numbers must be among 5,7,9.

3. But it can't be both 7 and 9 as again that would make clue 1 invalid! Hence, the 5 is part of the original key & in correct position as in third combination. So we have got first digit of key as a 5.

4. The 1 correct number in clue 2 is 5 & that's in wrong position. If other is assumed to be 9 & to be in right position then it contradict the clue 3. So the second digit must be 7.

5.The only correct number in clue 1 is 7 & that's in wrong position. That means numbers 1,3,4,9 must not be the part of the code.

6. Since 3,4,9 eliminated in previous steps, the only number that is correct and in right position must be 6 in suggestion made by clue 2. So far we have got 3 digits of the code as 576XX.

7. Last 2 digits can be any combination from 0,2,5,7,6,8. Now addition of all digits is equal to the number formed by last 2 digits. It's impossible that the addition of all digits exceeds 50. Hence, the second last digit must be 2.

8. Now both 57620 or 57628 are perfectly valid where sum of all digits equals to number formed by last 2 digits.