CFAT Problem Solving: Figure Series 3

Question 1

In a 3×3 grid, one cell is shaded and moves one position to the right each step, wrapping from column 3 back to column 1. Starting at row 1, column 1 in figure 1, where is the shaded cell in figure 4?

Accepted Answer

Row 1, Column 1

Answer

The cell moves right: column 1→2→3→1 (wrap); figure 4 completes the full cycle and returns to column 1.

Question 2

A figure series shows a rectangle divided by horizontal lines. Figure 1 has 1 line (2 sections), figure 2 has 2 lines (3 sections). How many sections does figure 6 contain?

Accepted Answer

7 sections

Answer

Each figure n has n lines and n+1 sections, so figure 6 has 6 lines creating 7 sections.

Question 3

A series shows a black square moving diagonally down-right one step at a time in a 4×4 grid. Starting at row 1, column 1 in figure 1, where is the square in figure 3?

Accepted Answer

Row 3, Column 3

Answer

Moving diagonally down-right: (1,1)→(2,2)→(3,3), placing the square at row 3, column 3 in figure 3.

Question 4

In a figure series, the shaded region alternates between the top half and bottom half of a square. Starting with the top half shaded in figure 1, which figure first shows the bottom half shaded?

Accepted Answer

Figure 2

Answer

The shading alternates each step, so figure 2 is the first to show the bottom half shaded.

Question 5

A triangular arrangement shows circles in rows: row 1 has 1 circle, row 2 has 2, row 3 has 3, and so on. How many circles total appear in a figure showing 5 complete rows?

Accepted Answer

15

Answer

The total follows triangular numbers: 1+2+3+4+5 = 15.

(CFAT) Canadian Forces Aptitude Test Practice Test

(CFAT) Canadian Forces Aptitude Test Practice Test

CFAT Problem Solving: Figure Series 3