Crossover Aptitude Test Spatial Reasoning: Figure Series 2 — Questions and Answers
Question 1: A series shows triangles with an internal dot that moves clockwise by one corner each step: top → right → bottom → left. If the dot starts at the top in figure 1, where is it in figure 5?
- Top (Correct answer)
- Right
- Bottom
- Left
Correct answer: Top
The dot cycles through 4 positions (top, right, bottom, left), so figure 5 returns to the top.
Question 2: In a figure series, each shape gains one side per step: circle (0 sides) → triangle → square → pentagon. What shape comes 6th in this sequence?
- Heptagon (Correct answer)
- Hexagon
- Octagon
- Pentagon
Correct answer: Heptagon
Starting from circle at step 1, each step adds one side, so step 6 is a heptagon (7 sides).
Question 3: A series shows alternating black and white squares arranged in a 2×2 grid. In figure 1 the top-left is black; in figure 2 the pattern rotates 90° clockwise. What color is the top-left square in figure 4?
- Black (Correct answer)
- White
- Gray
- Checkered
Correct answer: Black
Each full 360° rotation (4 steps) returns the grid to its original orientation, so figure 4 matches figure 1 with black at top-left.
Question 4: Figures show a 3×3 grid where shaded cells increase by one per step, filling left-to-right, top-to-bottom. If figure 1 has 1 shaded cell, how many unshaded cells remain in figure 6?
- 3 (Correct answer)
- 4
- 5
- 2
Correct answer: 3
Figure 6 has 6 shaded cells, leaving 9 − 6 = 3 unshaded cells.
Question 5: In each figure an arrow rotates 45° counterclockwise. Figure 1 points right (0°). In which figure does the arrow first point straight left (180°)?
- Figure 5 (Correct answer)
- Figure 4
- Figure 6
- Figure 3
Correct answer: Figure 5
Four 45° counterclockwise rotations from 0° reach 180° (left), which is figure 5.
Question 6: A series of squares shows a diagonal line that flips horizontally each step. In figures 1, 3, 5 the line runs top-left to bottom-right. In figures 2, 4, 6 it runs top-right to bottom-left. Which describes figure 7?
- Top-left to bottom-right (Correct answer)
- Top-right to bottom-left
- Vertical
- Horizontal
Correct answer: Top-left to bottom-right
The diagonal alternates every step; odd figures (1, 3, 5, 7) always show top-left to bottom-right.
Question 7: A series shows concentric rings: figure 1 has 1 ring, figure 2 has 2, figure 3 has 3. Every other ring is shaded. In figure 5, how many shaded rings are there?
- 3 (Correct answer)
- 2
- 4
- 5
Correct answer: 3
Figure 5 has rings 1–5; rings 1, 3, and 5 are shaded, giving 3 shaded rings.
Crossover Aptitude Test Spatial Reasoning: Figure Series 2
A series shows triangles with an internal dot that moves clockwise by one corner each step: top → right → bottom → left.
If the dot starts at the top in figure 1, where is it in figure 5?