Crossover Aptitude Test Spatial Reasoning: Figure Series 4 — Questions and Answers
Question 1: A series shows figures with symbols inside a circle. Figure 1 has 1 symbol, figure 2 has 3, figure 3 has 5. Each subsequent figure increases by 2. How many symbols are in figure 8?
- 15 (Correct answer)
- 14
- 16
- 13
Correct answer: 15
The count follows 2n − 1 for figure n, so figure 8 has 2(8) − 1 = 15 symbols.
Question 2: In a figure series, a square rotates 90° clockwise and simultaneously a dot moves from inside the square to outside it (alternating). If figure 1 shows a square with a dot inside, where is the dot in figure 5?
- Inside (Correct answer)
- Outside
- On the edge
- No dot present
Correct answer: Inside
The dot alternates inside/outside: odd figures (1, 3, 5) have the dot inside.
Question 3: A series shows a row of 5 circles, one of which is filled. The filled circle moves 2 positions to the right each step, wrapping around. If position 1 is filled in figure 1, which position is filled in figure 4?
- Position 2 (Correct answer)
- Position 3
- Position 4
- Position 5
Correct answer: Position 2
After 3 moves of +2 positions each (mod 5), the filled circle lands at position (1 + 6 − 1) mod 5 + 1 = 2.
Question 4: A figure series shows rectangles where the width doubles and the height halves each step. Figure 1 is a square with width 4 and height 4. In which figure does the shape become wider than 20 units?
- Figure 4 (Correct answer)
- Figure 3
- Figure 5
- Figure 6
Correct answer: Figure 4
Width doubles each step: 4 → 8 → 16 → 32, so in figure 4 the width is 32 > 20.
Question 5: A series shows a cross (+) shape that gains one block on each arm per step. Figure 1 has a single center block (total 1 block). How many blocks does figure 4 have in total?
- 13 (Correct answer)
- 12
- 9
- 16
Correct answer: 13
Figure 4 has a center plus 4 arms of 3 blocks each: 1 + 4×3 = 13 blocks.
Question 6: In a figure series, alternating figures show a shape in its normal and mirror-image form. Figure 1 is the letter 'R' (normal). Which figure number shows the 3rd occurrence of the mirror-image 'R'?
- Figure 6 (Correct answer)
- Figure 5
- Figure 7
- Figure 4
Correct answer: Figure 6
Mirror images appear at even figures (2, 4, 6), so the 3rd mirror-image occurs at figure 6.
Question 7: A figure series shows a 3×3 grid. In each step, every shaded cell shifts one column to the right; cells in the rightmost column wrap to the leftmost column. Figure 1 has the left column (cells 1, 4, 7) shaded. Which column is shaded in figure 4?
- Left column (Correct answer)
- Middle column
- Right column
- No column
Correct answer: Left column
Three rightward shifts (one per step) cycle through columns: left → middle → right → left, so figure 4 returns to the left column.
Crossover Aptitude Test Spatial Reasoning: Figure Series 4
A series shows figures with symbols inside a circle.
Figure 1 has 1 symbol, figure 2 has 3, figure 3 has 5.
Each subsequent figure increases by 2.
How many symbols are in figure 8?