Crossover Aptitude Test Spatial Reasoning: Figure Series 5

Question 1

A figure series shows nested squares. Figure 1 has 1 square, figure 2 has 2 nested squares, and so on. The innermost square is always shaded. In figure 6, how many unshaded squares are there?

Accepted Answer

5

Answer

Figure 6 has 6 nested squares total, with only the innermost shaded, leaving 5 unshaded.

Question 2

A series of figures shows an equilateral triangle that flips upward (△) and downward (▽) alternately, while also rotating 60° clockwise at each step. What orientation does figure 7 show?

Accepted Answer

Upward-pointing (△)

Answer

The flip alternation is independent of rotation; figure 7 is odd, so it points upward like figure 1.

Question 3

In a figure series, a shaded region grows by adding one row from the bottom each step inside a 5-row rectangle. Figure 1 has 1 shaded row; figure 5 is fully shaded. What fraction of the rectangle is shaded in figure 3?

Accepted Answer

3/5

Answer

In figure 3, three of the five rows are shaded, giving a fraction of 3/5.

Question 4

A figure series shows a clock face where the hour hand advances 3 hours each step. If the hand points to 12 in figure 1, where does it point in figure 9?

Accepted Answer

12

Answer

The hand moves 3 × 8 = 24 hours total, which is exactly 2 full rotations, returning to 12.

Question 5

A figure series shows overlapping shapes: in figure 1, a circle overlaps a square with a small overlap; in each subsequent figure the circle moves further right, increasing the overlap area. In figure 5, the circle is entirely inside the square. What does figure 6 show?

Accepted Answer

Circle emerging from the right side of the square

Answer

Continuing the rightward movement past full containment, the circle begins to emerge from the right edge of the square in figure 6.

Crossover Aptitude Test Practice Test

Crossover Aptitude Test Practice Test

Crossover Aptitude Test Spatial Reasoning: Figure Series 5