CFAT Problem Solving: Figure Series 2 — Questions and Answers
Question 1: In a figure series, a shape rotates 90° clockwise with each step. If the shape points upward in figure 1, which direction does it point in figure 5?
- Upward (Correct answer)
- To the right
- Downward
- To the left
Correct answer: Upward
Four rotations of 90° clockwise total 360°, returning the shape to its original upward position.
Question 2: A series shows: Circle, Square, Triangle, Circle, Square, Triangle, Circle, Square, ___. What shape completes the sequence?
- Circle
- Square
- Triangle (Correct answer)
- Pentagon
Correct answer: Triangle
The pattern repeats every 3 figures (circle, square, triangle), and the 9th position is the 3rd in the cycle: triangle.
Question 3: Each figure in a series has one more side than the previous. Figure 1 is a triangle (3 sides). How many sides does figure 5 have?
- 5 sides
- 6 sides
- 7 sides (Correct answer)
- 8 sides
Correct answer: 7 sides
Starting at 3 sides and adding 1 each step: 3, 4, 5, 6, 7 — figure 5 is a heptagon with 7 sides.
Question 4: A series alternates between a filled (black) circle and an empty (white) circle. If figure 1 is filled, what is figure 8?
- Filled
- Empty (Correct answer)
- Half-filled
- Striped
Correct answer: Empty
Even-numbered figures are empty since the pattern alternates and figure 1 (odd) is filled.
Question 5: In a figure series, the number of dots increases by 2 each step: 1, 3, 5, 7, ... What is the number of dots in figure 6?
- 9
- 11 (Correct answer)
- 13
- 15
Correct answer: 11
The sequence of odd numbers continues: 1, 3, 5, 7, 9, 11 — the 6th figure has 11 dots.
Question 6: A series shows an arrow rotating 45° counterclockwise each step. Starting pointing right (→) in figure 1, what direction does the arrow point in figure 5?
- Upward
- Upper-left
- Left (Correct answer)
- Downward
Correct answer: Left
Each step rotates 45° CCW: right → upper-right → up → upper-left → left; figure 5 points left.
Question 7: In a figure series, a 5-pointed star loses one point with each step. Starting with 5 points in figure 1, how many points remain in figure 4?
- 1 point
- 2 points (Correct answer)
- 3 points
- 4 points
Correct answer: 2 points
Losing 1 point each step: 5, 4, 3, 2 — the fourth figure has 2 points remaining.
CFAT Problem Solving: Figure Series 2
In a figure series, a shape rotates 90° clockwise with each step.
If the shape points upward in figure 1, which direction does it point in figure 5?