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Answer to the third puzzle: D. 

The simplest solution is to treat each line independently. Ignore everything else. Find the pattern in columns and rows. Is the line there? Is it not there?

Give it a try! :)

Solution rule and steps below


Rule: In all rows and all columns, each line will appear exactly once or twice. Never zero, and never three times.

How to Find Clues: In our solution column and row, we need lines that appear twice, or lines that are missing twice. If a line appears twice, it will not appear in our solution. If a line is missing twice, it will appear in our solution. Ignore everything else.

Solve:

Step 1 - Narrow our answers

Look down column 3 for a common line or common missing line.

There are two top line segments, so we cannot have an answer with a top line. That eliminates A, B, E and F, leaving only C and D as possible solutions.

Step 2 - Find our solution

Look across row 3 for a common line or common missing line.

The left vertical line is missing twice, so our answer must have a left vertical line. C has no left vertical line. Therefore the answer is D.

Step 3 - Verify our solution

We can then "work backwards" and verify the solution both horizontally and vertically for all other individual lines

D. The simplest solution is to treat each line independently. Ignore everything else. Find the pattern in columns and rows. Is the line there? Is it not there?

Give it a try! :)

Solution rule and steps below


Rule: In all rows and all columns, each line will appear exactly once or twice. Never zero, and never three times.

How to Find Clues: In our solution column and row, we need lines that appear twice, or lines that are missing twice. If a line appears twice, it will not appear in our solution. If a line is missing twice, it will appear in our solution. Ignore everything else.

Solve:

Step 1 - Narrow our answers

Look down column 3 for a common line or common missing line.

There are two top line segments, so we cannot have an answer with a top line. That eliminates A, B, E and F, leaving only C and D as possible solutions.

Step 2 - Find our solution

Look across row 3 for a common line or common missing line.

The left vertical line is missing twice, so our answer must have a left vertical line. C has no left vertical line. Therefore the answer is D.

Step 3 - Verify our solution

We can then "work backwards" and verify the solution both horizontally and vertically for all other individual lines

Answer to the third puzzle: D 

The simplest solution is to treat each line independently. Ignore everything else. Find the pattern in columns and rows. Is the line there? Is it not there?

Give it a try! :)

Solution rule and steps below


Rule: In all rows and all columns, each line will appear exactly once or twice. Never zero, and never three times.

How to Find Clues: In our solution column and row, we need lines that appear twice, or lines that are missing twice. If a line appears twice, it will not appear in our solution. If a line is missing twice, it will appear in our solution. Ignore everything else.

Solve:

Step 1 - Narrow our answers

Look down column 3 for a common line or common missing line.

There are two top line segments, so we cannot have an answer with a top line. That eliminates A, B, E and F, leaving only C and D as possible solutions.

Step 2 - Find our solution

Look across row 3 for a common line or common missing line.

The left vertical line is missing twice, so our answer must have a left vertical line. C has no left vertical line. Therefore the answer is D.

Step 3 - Verify our solution

We can then "work backwards" and verify the solution both horizontally and vertically for all other individual lines

Separated spoilers for those who would like to try themselves as the answer unfolds
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D. The simplest solution is to treat each line independently. Ignore everything else. Find the pattern in columns and rows. Is the line there? Is it not there?

Give it a try! :)

Solution rule and steps below


Rule: In all rows and all columns, each line will appear exactly once or twice. Never zero, and never three times.

How to Find Clues: In our solution column and row, we need lines that appear twice, or lines that are missing twice. If a line appears twice, it will not appear in our solution. If a line is missing twice, it will appear in our solution. Ignore everything else.

Solve:

Step 1 - Narrow our answers

Look down column 3 for a common line or common missing line.

There are two top line segments, so we cannot have an answer with a top line. That eliminates A, B, E and F, leaving only C and D as possible solutions.

Step 2 - Find our solution

Look across row 3 for a common line or common missing line. The

The left vertical line is missing twice, so our answer must have a left vertical line. C has no left vertical line. Therefore the answer is D.

Step 3 - Verify our solution

We can then "work backwards" and verify the solution both horizontally and vertically for all other individual lines

D. The simplest solution is to treat each line independently. Ignore everything else. Find the pattern in columns and rows. Is the line there? Is it not there?

Give it a try! :)

Solution rule and steps below


Rule: In all rows and all columns, each line will appear exactly once or twice. Never zero, and never three times.

How to Find Clues: In our solution column and row, we need lines that appear twice, or lines that are missing twice. If a line appears twice, it will not appear in our solution. If a line is missing twice, it will appear in our solution. Ignore everything else.

Solve:

Step 1 - Narrow our answers

Look down column 3 for a common line or common missing line.

There are two top line segments, so we cannot have an answer with a top line. That eliminates A, B, E and F, leaving only C and D as possible solutions.

Step 2 - Find our solution

Look across row 3 for a common line or common missing line. The left vertical line is missing twice, so our answer must have a left vertical line. C has no left vertical line. Therefore the answer is D.

Step 3 - Verify our solution

We can then "work backwards" and verify the solution both horizontally and vertically for all other individual lines

D. The simplest solution is to treat each line independently. Ignore everything else. Find the pattern in columns and rows. Is the line there? Is it not there?

Give it a try! :)

Solution rule and steps below


Rule: In all rows and all columns, each line will appear exactly once or twice. Never zero, and never three times.

How to Find Clues: In our solution column and row, we need lines that appear twice, or lines that are missing twice. If a line appears twice, it will not appear in our solution. If a line is missing twice, it will appear in our solution. Ignore everything else.

Solve:

Step 1 - Narrow our answers

Look down column 3 for a common line or common missing line.

There are two top line segments, so we cannot have an answer with a top line. That eliminates A, B, E and F, leaving only C and D as possible solutions.

Step 2 - Find our solution

Look across row 3 for a common line or common missing line.

The left vertical line is missing twice, so our answer must have a left vertical line. C has no left vertical line. Therefore the answer is D.

Step 3 - Verify our solution

We can then "work backwards" and verify the solution both horizontally and vertically for all other individual lines

edited body
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D. The simplest solution is to treat each line independently. Ignore everything else. Find the pattern in columns and rows. Is the line there? Is it not there?

Give it a try! :)

Solution rule and steps below


Rule: In all rows and all columns, each line will appear exactly once or twice. Never zero, and never three times.

How to Find Clues: In our solution column and row, we need lines that appear twice, or lines that are missing twice. If a line appears twice, it will not appear in our solution. If a line is missing twice, it will appear in our solution. Ignore everything else.

Solve:

Step 1 - Narrow our answers

Look down column 3 for a common line or common missing line.

There are two top line segments, so we cannot have an answer with a top line. That eliminates A, B, E and F, leaving only C and D as possible solutions.

Step 2 - Find our solution

Look across row 3 for a common line or common missing line. The left verticalThe left vertical line is missing twice, so our answer must have a left vertical line. C has no left vertical line. Therefore the answer is D.

Step 3 - Verify our solution

We can then "work backwards" and verify the solution both horizontally and vertically for all other individual lines

D. The simplest solution is to treat each line independently. Ignore everything else. Find the pattern in columns and rows. Is the line there? Is it not there?

Give it a try! :)

Solution rule and steps below


Rule: In all rows and all columns, each line will appear exactly once or twice. Never zero, and never three times.

How to Find Clues: In our solution column and row, we need lines that appear twice, or lines that are missing twice. If a line appears twice, it will not appear in our solution. If a line is missing twice, it will appear in our solution. Ignore everything else.

Solve:

Step 1 - Narrow our answers

Look down column 3 for a common line or common missing line.

There are two top line segments, so we cannot have an answer with a top line. That eliminates A, B, E and F, leaving only C and D as possible solutions.

Step 2 - Find our solution

Look across row 3 for a common line or common missing line. The left vertical line is missing twice, so our answer must have a left vertical line. C has no left vertical line. Therefore the answer is D.

Step 3 - Verify our solution

We can then "work backwards" and verify the solution both horizontally and vertically for all other individual lines

D. The simplest solution is to treat each line independently. Ignore everything else. Find the pattern in columns and rows. Is the line there? Is it not there?

Give it a try! :)

Solution rule and steps below


Rule: In all rows and all columns, each line will appear exactly once or twice. Never zero, and never three times.

How to Find Clues: In our solution column and row, we need lines that appear twice, or lines that are missing twice. If a line appears twice, it will not appear in our solution. If a line is missing twice, it will appear in our solution. Ignore everything else.

Solve:

Step 1 - Narrow our answers

Look down column 3 for a common line or common missing line.

There are two top line segments, so we cannot have an answer with a top line. That eliminates A, B, E and F, leaving only C and D as possible solutions.

Step 2 - Find our solution

Look across row 3 for a common line or common missing line. The left vertical line is missing twice, so our answer must have a left vertical line. C has no left vertical line. Therefore the answer is D.

Step 3 - Verify our solution

We can then "work backwards" and verify the solution both horizontally and vertically for all other individual lines

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