Fill in the box

Logic Level 2

This box has 8 blanks. It should be filled using 1 to 8 exactly once so that connected boxes(side by side, up and down or corner) does not have consecutive numbers. For example:

This is an incorrect solution as 7 and 8 are side by side.

If A>B of the 1st image, what is the value of C?


The answer is 7.

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2 solutions

Saad Khondoker
Jan 10, 2021

If we look closely, box A and B are both connected with every box except for one. So these boxes must contain a number which has only 1 consecutive number from 1 to 8.

These numbers are 1 and 8. So no matter how many solutions there are, 1 and 8 will be in the middle in every solution and 2 and 7 will be in the boxes that are not connected with 1 and 8 respectively.

As A>B then A=8 and B=1. So C has the value 7.

One of the solutions looks like this:

Hongqi Wang
Jan 10, 2021

A, B each touch all six boxes except only one, so must be filled with 1, 8 respectively. Since A > B, A must be 8, then C is 7.

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