Question

A numeric lock has a 3 digit lock
6 1 4 one no. is correct but worngly place

6 8 2 one no. is correct and well place
2 0 6 two no. are correct but wrong place
7 3 8 nothing correct
7 8 0 one no is correct but wrong place

Answer 1

Answer

Code = 0, 4, 2

$\rule{200}2$

There are total 3 positions in all Cases

i.e. ___ , ___ , ____

Case 1)

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

Case 2)

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

From Case 1) and Case 2) we an say that 6 is wrong. Because in both two cases 6 is placed at only one position.

So, 6 is removed from all the cases.

Case 3)

“2-0-6 two no.s are correct but placed wrongly.”

6 is already removed. So, left two numbers are 2-0, which are correct.

From Case 2) and Case 3) we can say that 2 is placed at wrong position. As in Case 1) it is put at the last position.

So, 2 is placed at last or third position.

Case 4)

“7-3-8 nothing is correct.”

As, nothing is correct in above case. So, 7, 3 and 8 are removed from all cases.

Case 5)

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

From Case 4) 7 and 8 are already removed. So, left one is 0. But 0 is placed at wrong position.

From Case 3) and Case 5)

0 is placed at first position.

Now,

Return to the 1st Case again.

Here in, 6-1-4 one number is correct but wrongly placed.

1 is wrong. As it is in middle.

So, 4 is correct but placed at wrong place.

Therefore, 4 is at second position.

So, the correct code is 0 , 4 , 2

Answer 2

||✪✪ GIVEN ✪✪||

• 6-8-2 one no. is correct and well placed.
• 6-1-4 one no. is correct but wrongly placed.
• 2-0-6 two no.s are correct but placed wrongly.
• 7-3-8 nothing is correct.
• 7-8-0 one no. is correct but wrongly placed.

|| ✰✰ ANSWER ✰✰ ||

Hint ❶ :- 6-8-2 one no. is correct and well placed.

Hint ❷ :- 6-1-4 one no. is correct but wrongly placed.

Conclusion ⓵ :- From Both Hint , we can conclude That 6 is a incorrect Number .

_____________

Hint ❸ :- 2-0-6 two no.s are correct but placed wrongly.

From conclusion ⓵ Now, we can say That :-

Conclusion ⓶ :- 2 & 0 are our Correct codes but Both are placed Wrongly.

____________

Hint ❹ :- 7-3-8 nothing is correct.

Conclusion ⓷ :- From Hint 4 & 1 now we can say That , From conclusion 1, 6 is already wrong , and From hint 4 now, 8 is also Wrong , So, we can say That, in Hint 1 our 2 is correct and At well placed .

So, Position of 2 is Fixed :- _ _ 2.

_____________

Hint ❺ :- 7-8-0 one no. is correct but wrongly placed.

Conclusion ⓸ :- Form Hint 3, and 5 now, we can say

conclude That , 0 is wrongly placed in Both..

So, we can say That :-

Position of 0 will be :- 0 _ _ .

_________________

Now, we have Fixed Position of 0 & 2 , and From Hint ❷ now, we conclude That our Third Number is 4. And That will in Position which is left,, middle one.

Hence, Our Final Code will be :- 0 4 2 ...