Crossover Aptitude Test Spatial Reasoning: Figure Series 4

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?

Accepted Answer

15

Answer

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?

Accepted Answer

Inside

Answer

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?

Accepted Answer

Position 2

Answer

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?

Accepted Answer

Figure 4

Answer

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?

Accepted Answer

13

Answer

Figure 4 has a center plus 4 arms of 3 blocks each: 1 + 4×3 = 13 blocks.

Crossover Aptitude Test Practice Test

Crossover Aptitude Test Practice Test

Crossover Aptitude Test Spatial Reasoning: Figure Series 4