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Crack the code puzzle brainteaser

It is always fun to play with crack the code puzzles. Some puzzles come with numbers to play with so some others come with pictures where you need to find out the correct code.

Here are some of these puzzles I published earlier. Try these out, I am sure these will challenge you.

Crack the code (3 Digit)

CRACK THE CODE!

Equation1: 726 One number is correct and well placed
Equation2: 329 One number is correct but wrong placed
Equation3: 653 One number is correct and well placed
Equation4: 948 One number is correct but wrong placed

Each of the above hints have one thing in common that one number from these 3 digit numbers is correct. Now, you need to find out what 3 digit numbers are and the correct place for these numbers.

Let’s try to break the code ðŸ™‚

You will need to check all 4 equations every time to see what holds valid.

Step1 : Find All unique numbers

First thing is to check all available numbers which are 2,3,4,5,6,7,8,9

Step2: Check equations with common numbers and try to find numbers as per place condition

Since we have to crack a 3 digit number and have 4 equations, it is clear that at-least 2 equations should have a common number.

Equation1Â and Equation3Â have a common number as 6 however it is told that number is at the correct place so number 6 cannot be part of code since in both equations it is at different places. So, now available numbers areÂ 2,3,4,5,7,8,9

Equation1Â and Equation2Â have a common number as 2 however the other statement of place is contradicting so now it is clear that number 2 also cannot be part of code. So, now available numbers areÂ 3,4,5,7,8,9Â . Also, since we know that numbers 2 and 6 cannot be part of the code so from the first equation, we now know that numberÂ 7Â would be part of code and it is well placed in first position.

Now, we have code as 7 _ _

Step3: Assume a number to be part of code and see how it fits with all conditions

Now, we need to assume a number and see how it works.

From Equation 3, we know that only 5 or 3 can be part of code. So let’s assume 5 to be code which is well placed so it would be in 2nd position. Then only position left is third since we chose 5, so 3 cannot be part of code, from Equation 2 only other number left is number 9 but then it cannot be on 3rd position as per Equation 2 which makes it clear that number 5 can never be part of code.

So it clears that using Equation3 only number which can be part of code is 3 and it is well placed.

Now, we have code as 7 _ 3

From last equation, we have number 9,4 and 8. 9 cannot be part of code, since we already used number 3 from Equation 2. Number 4 cannot be part of code also, since if it wrong placed then only position available for it is 1st or 3rd however both are already occupied which leaves number 8 and that only on 2nd position.

Now, we have code as 7 8 3

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