Abstract Reasoning Flashcards

In a matrix, the number in each cell = row number × column number. What is the value in row 3, column 4?

Answer: 12

3 × 4 = 12.

A sequence uses the rule: each shape rotates 45° and loses one side per step. Step 1: octagon at 0°. Step 3 has ___ sides at ___.

Answer: 6 sides at 90°

Sides: 8→7→6. Rotation: 0°→45°→90°. After 2 steps: 6 sides at 90°.

Set A: all figures contain a shape with more than 4 sides. Set B: all figures contain a shape with 4 or fewer sides. Where does a regular hexagon belong?

Answer: Set A

A hexagon has 6 sides, which is more than 4. It belongs to Set A.

An analogy: 3 is to 9 as 4 is to ___?

Answer: 16

3 is squared to get 9 (3² = 9). Applying the same rule: 4² = 16.

In a pattern, black squares appear in a checkerboard arrangement. The grid is 4×4. How many black squares are there?

Answer: 8

In a 4×4 checkerboard, exactly half of the 16 squares are black = 8.

Shapes in a series get darker each step (white → light grey → dark grey → black). A shape in step 6 of an 8-step cycle would be:

Answer: Dark grey

The 4-step darkness cycle repeats: steps 1–4 and 5–8 mirror each other. Step 5=white, 6=light grey, 7=dark grey, 8=black. Step 6 = light grey.