### Brain Teasers

# CrossDigit 3

This teaser is similar to a crossword puzzle, but there is a twist. Instead of words, it uses digits 1-9 and empty (black in crossword puzzles) spaces in a 4 by 4 grid. The grid is arranged as follows:

A1 A2 A3 A4

B1 B2 B3 B4

C1 C2 C3 C4

D1 D2 D3 D4

With the help of the given rules and clues, you have to figure out which box contains which digit.

The rules are:

1: No row or column can have the same digit appearing more than once.

2: 0 (Zero) is not permissible.

3: Empty spaces cannot contain any digits. They are empty.

And the clues are:

1. The empty spaces are B4, C2, C3 and D3.

2. The sum of digits in row A equal 10.

3. The sum of digits in row B equal 21.

4. The sum of digits in row C equal 12.

5. The sum of digits in row D equal 19.

6. The sum of digits in column 1 equal 10.

7. The sum of digits in column 2 equal 19.

8. The sum of digits in column 3 equal 13.

9. The sum of digits in column 4 equal 20.

Now figure out which box contains which digit and do not forget the rules.

A1 A2 A3 A4

B1 B2 B3 B4

C1 C2 C3 C4

D1 D2 D3 D4

With the help of the given rules and clues, you have to figure out which box contains which digit.

The rules are:

1: No row or column can have the same digit appearing more than once.

2: 0 (Zero) is not permissible.

3: Empty spaces cannot contain any digits. They are empty.

And the clues are:

1. The empty spaces are B4, C2, C3 and D3.

2. The sum of digits in row A equal 10.

3. The sum of digits in row B equal 21.

4. The sum of digits in row C equal 12.

5. The sum of digits in row D equal 19.

6. The sum of digits in column 1 equal 10.

7. The sum of digits in column 2 equal 19.

8. The sum of digits in column 3 equal 13.

9. The sum of digits in column 4 equal 20.

Now figure out which box contains which digit and do not forget the rules.

### Hint

A number can be present more than once in the grid, but not the same row or column.### Answer

The solution grid looks like this:The digits are laid out as follows:

A1: 1, A2: 2, A3: 4, A4: 3

B1: 4, B2: 8, B3: 9, B4: Blank

C1: 3, C2: Blank, C3: Blank, C4: 9

D1: 2, D2:9, D3: Blank, D4: 8

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