6 replies to this topic

[rookie1ja]

Master Mind - Back to the Number Puzzles
Find the four-digit number designated by asterisks, given the following:

* All four digits of the unknown number are different.
* None of the digits is zero.
* Each “0” on the right of each four-digit number below indicates that the number has a matching digit in a non-matching position with the unknown number.
* Each “+” on the right of each four-digit number below indicates that the number has a matching digit in a matching position with the unknown number.

6152 +0
4182 00
5314 00
5789 +
-------------
****

This old topic is locked since it was answered many times. You can check solution in the Spoiler below.
Pls visit New Puzzles section to see always fresh brain teasers.

Spoiler for Solution

Master Mind - solution
6741

Spoiler for old wording

What is the number replaced by asterisks, if:

* symbol 0 represents a guessed number in the line,
* symbol + represents a guessed number in the line, that is on its right place,
* the result has no number 0,
* no numeral is more than once in the result.

6152 +0
4182 00
5314 00
5789 +
-------------
****

[uggelsome]

I actually got that right!

[BabyGurlV]

How did you arrive at that answer?

[odin787]

yeah, how? I'm confused.

[phillip1882]

Spoiler for how answer is gotten

line1: 6152 +0
line2: 4182 00
line3: 5314 00
line4: 5789 +

based on line 4 and line 3, we know 5 cannot be in the answer.
based on line 4 and line 2, we know 8 cannot be in the answer.
based on line 1 and line 2, we know 1 nor 2 is in the correct spot in line 1.
therefore 6 must be the first number.
based on line 2, either 1 or 2 but not both are in the answer, therefore 4 must be in the answer.
based on line 3, 1 must be in the answer.
therefore the only solution is 6741.

Edited by phillip1882, 18 October 2009 - 02:53 AM.

[dvyes]

6419 also satisfies the conditions

[donhimanshupandey]

6419 also satisfies the conditions

sorry but 6419 violates 5314 00