Question

Crack the code?
_ _ _ (code to unlock)
A numeric lock has a 3 digit key

Hint
1. 6 8 2 - one number is correct and well placed
2. 6 1 4 - one number is correct but wrongly placed
3. 2 0 6 - two numbers are correct but wrongly placed
4. 7 3 8 - nothing is correct
5. 7 8 0 - one number is correct but wrongly placed

Answer 1

Answer:

042

Step-by-step explanation:

second statement says one number is correct but wrongly placed .

so it contradicts the first condition.

therefore 6 is out

from 3 rd condition since 6 is not the correct number we got 2 and 0 which are both correct but wrongly placed

first condition says that one number is correct and well placed .it means ones digit is 2

fifth condition says one number is correct but wrongly placed and fourth condition says no one is correct which means neither 7 nor 8 are correct.

from 3rd and 5 th we get the position of 0 as 100th digit.

form 2nd condition we know that either 1 is correct or 4 is correct.

since the ones place and 100th place are already taken by 2 and 0 .

so we are left with 1

so the answer is 042.

hope it helps you

Answer 2

code is 042.

Step-by-step explanation:

1. 6 8 2 - one number is correct and well placed

Rules out 6. It is either 2 or 8.

From hint 4, we rule out 8. So it is 2 that is correct and well placed.

2. 6 1 4 - one number is correct but wrongly placed

Rules out 6, it can be 1 or 4 that is wrongly placed.

3. 2 0 6 - two numbers are correct but wrongly placed

We know one number is 2. The other should be 0 or 6.

From 5, we know that it is 0 that is wrongly placed.

4. 7 3 8 - nothing is correct

5. 7 8 0 - one number is correct but wrongly placed

From 4, we can rule out 7 and 8. So it is 0 that is wrongly placed.

0 should be first because it is wrongly placed in middle and last position.

2 is in the last position.

So the middle  is gotten from hint 2, the wrongly placed number for middle position is 4.

Finally, the code is 042.