Hudson Abstract Reasoning Ability (A-RAT 3R) Practice 2026

The correct answer is (D).

The operations in this question are:

• Key 2: changes the size of the figures - elongates/shortens
• Key 6: changes the color of the figures
• Key 8: adds/removes a vertical line

This question requires you to find the operations of Keys 2 and 8.

Since row 2 contains only one operation, it is a good starting point. In this row, we can see that applying key 2 changes the size of the figures - from an elongated oval to a circle.

Understanding Key 2 allows us to infer the function of Key 6 from row 1, where applying Keys 2 and 6 changes the figure from a square to an elongated rectangle, alongside a color shift. Thus, Key 6 is responsible for color change.

With this knowledge, Key 8’s role becomes clear from the operations in row 3. Here, applying Keys 6 and 8 results in a color change and the addition of a vertical line, confirming that Key 8 adds or removes vertical lines.

The input is a white rectangle. Applying keys 2 and 8 should change the size of the figure - from a rectangle to a square - and add a vertical line.

The correct answer is (B).

The operations in this question are:

• Key 1: changes the color of the figures
• Key 2: adds/removes a horizontal line
• Key 3: adds/removes a vertical line
• Key 4: changes the shape of the figures - from a pentagon to a triangle

This question requires you to find the operations of Keys 2 and 3.

Since row 3 contains only one operation, it is a good starting point. In this row, we can see that applying key 3 adds or removes a vertical line.

Observation of rows 1 and 2, where Key 1 is consistently used, reveals a common outcome: the color changes from black to white. This change is absent in row 3, confirming that Key 1 is responsible for color change.

Knowing key 1's function we can infer key 4 and key 2's functions. It's important to note that understanding Key 4's function is not essential for this question, particularly because the test is timed. Therefore, our primary focus should be on identifying the role of Key 2. However, for a comprehensive understanding, we will also explain the function of Key 4.

In row 2, applying keys 1 and 2 changes the figures colors and adds or removes a horizontal line. Since color change belongs to key 1, the addition/removal of horizontal lines must belong to key 2.

In row 1, applying keys 1 and 4 changes the figures colors and shape - from a pentagon to a triangle. Since color change belongs to key 1, shape change must belong to key 4.

The input is a white pentagon and a black triangle with vertical and horizontal lines. When applying Keys 2 and 3, the action taken depends on the current state of the lines: if the lines are absent, they will be added; if present, they will be removed. Consequently, for the pentagon, both vertical and horizontal lines should be added, and for the triangle, both lines should be removed.