Which panel best completes the matrix?

The answer is A! Why?

There is a progression on the number of shapes along the panels within a row.

Only panel A has 4 circles in it.

Which panel best completes the matrix?

The answer is A! Why?

This matrix has two relations

First, each column contains a panel with one shape, five shapes, and seven shapes. We call this sort of relation a consistent union.

However, this only narrows the choices down to five options: A, C, D, E and H. We need to find the other relation to narrow it down further.

The second relation is that along each row, lines that occur both in the first and second column appear in the third column. We call this an AND relation.

Panels A, B, and G all satisfy the AND relation.

Since only panel A also satisfied the consistent union relation, the answer must be A!

Which panel best completes the matrix?

The answer is A! Do you know why?

This matrix has three relations.

First, there’s a progression on the number of shapes along each column.

Panels A, B, C, E, F, and H all have five shapes, so they all satisfy the progression relation.

Similar to the last problem, the second relation is an AND on lines in each row.

Panels A, D, E, and H all satisfy this relation.

The final relation is a consistent union on color along each column. Each column contains a panel with shapes that are light gray , dark gray , and black .

The rightmost column only contains panels with shapes of light gray and dark gray, so the answer must contain black shapes. Only panels A, B, and C contain black shapes.

Combining across the progression, AND, and consistent union relations, only panel A satisfies all relations!

That's it!