Crossover Aptitude Spatial Reasoning: Figure Series Questions and Answers — Questions and Answers
Question 1: Observe the sequence of figures. Which of the answer choices correctly completes the series? Problem Figure: 1. A square with a small black circle in the top-left corner. 2. A square with a small black circle in the top-right corner. 3. A square with a small black circle in the bottom-right corner. 4. A square with a small black circle in the bottom-left corner. 5. A square with a small black circle in the top-left corner. 6. ?
- A square with a small black circle in the bottom-right corner.
- A square with a small black circle in the top-right corner. (Correct answer)
- A square with a small black circle in the top-left corner.
- A square with a small black circle in the bottom-left corner.
Correct answer: A square with a small black circle in the top-right corner.
The black circle moves one corner in a clockwise direction with each step. From position 1 (top-left) it moves to 2 (top-right), then 3 (bottom-right), then 4 (bottom-left), and then back to 1 (top-left). The next step in the sequence would be for the circle to move to the top-right corner again.
Question 2: A series of figures shows a transformation. Identify the figure that should come next in the sequence. Problem Figure: 1. A large upright arrow pointing up. 2. A large arrow pointing to the right. 3. A large arrow pointing down. 4. ?
- A large arrow pointing up.
- A large arrow pointing to the right.
- A large arrow pointing to the left. (Correct answer)
- A large arrow pointing down.
Correct answer: A large arrow pointing to the left.
The arrow rotates 90 degrees clockwise in each step of the series. The sequence is Up -> Right -> Down. The next logical step is a 90-degree clockwise rotation from the 'Down' position, which results in the arrow pointing to the Left.
Question 3: Which of the following figures logically continues the established pattern? Problem Figure: 1. A figure with one horizontal line. 2. A figure with one horizontal line and one vertical line, forming a plus sign. 3. A figure with one horizontal line, one vertical line, and a diagonal line from top-left to bottom-right. 4. ?
- A figure with one horizontal line, one vertical line, and a diagonal line from top-right to bottom-left.
- A figure with two horizontal lines and two vertical lines.
- A figure with one horizontal line, one vertical line, a diagonal from top-left to bottom-right, and a diagonal from top-right to bottom-left. (Correct answer)
- A figure with only a horizontal and a vertical line.
Correct answer: A figure with one horizontal line, one vertical line, a diagonal from top-left to bottom-right, and a diagonal from top-right to bottom-left.
The pattern involves adding one new, distinct straight line in a specific order with each step. Step 1 has a horizontal line. Step 2 adds a vertical line. Step 3 adds a diagonal line. The next logical step is to add the remaining primary diagonal line, completing a star or asterisk shape.
Question 4: Analyze the pattern in the figure series and determine the next logical image. Problem Figure: 1. A square containing a small unshaded circle. 2. A square containing a small shaded circle. 3. A square containing a small unshaded square. 4. A square containing a small shaded square. 5. A square containing a small unshaded triangle. 6. ?
- A square containing a small unshaded circle.
- A square containing a small shaded triangle. (Correct answer)
- A square containing a small unshaded square.
- A square containing a small shaded circle.
Correct answer: A square containing a small shaded triangle.
There are two patterns occurring simultaneously. First, the inner shape alternates between unshaded and shaded. Second, a new shape is introduced every two steps (Circle, Circle, Square, Square, Triangle, Triangle). The last figure was an unshaded triangle, so the next figure must be a shaded triangle to continue both patterns.
Question 5: In the following series of figures, one figure is missing. Which of the answer choices correctly replaces the question mark? Problem Figure: 1. A regular pentagon (5 sides). 2. A square (4 sides). 3. A triangle (3 sides). 4. ?
- A hexagon (6 sides).
- A circle.
- A line segment (2 endpoints, often considered 1 or 2 sides depending on context, but visually distinct). (Correct answer)
- A square (4 sides).
Correct answer: A line segment (2 endpoints, often considered 1 or 2 sides depending on context, but visually distinct).
The pattern is a sequence of polygons where the number of sides decreases by one at each step. The series starts with a pentagon (5 sides), moves to a square (4 sides), then a triangle (3 sides). The next logical figure would have two sides or endpoints, which is a line segment.
Question 6: Which figure completes the series by following the established rule? Problem Figure: 1. A clock face showing 3:00. Inside the clock, there is a small square. 2. A clock face showing 6:00. Inside the clock, there is a small circle. 3. A clock face showing 9:00. Inside the clock, there is a small square. 4. ?
- A clock face showing 12:00. Inside the clock, there is a small square.
- A clock face showing 10:00. Inside the clock, there is a small circle.
- A clock face showing 12:00. Inside the clock, there is a small circle. (Correct answer)
- A clock face showing 3:00. Inside the clock, there is a small circle.
Correct answer: A clock face showing 12:00. Inside the clock, there is a small circle.
Two patterns are present. The time on the clock face advances by 3 hours with each step (3:00, 6:00, 9:00). The next time would be 12:00. The shape inside the clock alternates between a square and a circle. Since the last shape was a square, the next one must be a circle. Therefore, the correct figure is a clock face at 12:00 with a circle inside.
Observe the sequence of figures.
Which of the answer choices correctly completes the series?
Problem Figure:
1.
A square with a small black circle in the top-left corner.
2.
A square with a small black circle in the top-right corner.
3.
A square with a small black circle in the bottom-right corner.
4.
A square with a small black circle in the bottom-left corner.
5.
A square with a small black circle in the top-left corner.
6. ?