Crossover Aptitude Test Spatial Reasoning: Figure Series 3

Question 1

A series shows a star that loses one point per step: 6-point → 5-point → 4-point → 3-point. If the pattern continues, what shape appears in figure 6?

Accepted Answer

Circle

Answer

The star loses one point each step; by figure 6 it has 1 remaining 'point,' effectively a circle.

Question 2

In a figure series, an X mark moves one cell to the right across a 1×4 row, wrapping to the leftmost cell after reaching the right end. If the X is in cell 2 in figure 1, which cell holds it in figure 7?

Accepted Answer

Cell 1

Answer

Starting at cell 2, moving right 6 steps in a 4-cell wrap gives position (2 + 6 − 1) mod 4 + 1 = 1.

Question 3

A series shows shapes that double in size every two figures. Figure 1 is a small square of side 1 unit, figure 3 is 2 units, figure 5 is 4 units. What is the side length in figure 7?

Accepted Answer

8 units

Answer

The side length doubles every 2 steps: figure 7 is the 4th doubling, giving 2³ = 8 units.

Question 4

In each step of a series, a shape is reflected across the horizontal axis. Figure 1 shows an upward-pointing arrow. Which figure first returns to an upward-pointing arrow?

Accepted Answer

Figure 3

Answer

Reflecting twice (figure 1 → 2 → 3) restores the original orientation, so figure 3 matches figure 1.

Question 5

A figure series shows a pentagon inside a circle. Each step the pentagon rotates 72° clockwise inside the circle. After how many steps does the pentagon return to its starting orientation?

Accepted Answer

5 steps

Answer

360° ÷ 72° = 5 steps to complete a full rotation back to the original orientation.

Crossover Aptitude Test Practice Test

Crossover Aptitude Test Practice Test

Crossover Aptitude Test Spatial Reasoning: Figure Series 3