OLSAT OLSAT Nonverbal Reasoning 2 — Questions and Answers
Question 1: In a pattern, each square is shaded one additional quadrant clockwise per step. After 4 steps, how many quadrants are shaded?
- 1
- 2
- 3
- 4 (Correct answer)
Correct answer: 4
Starting unshaded, after 4 steps all 4 quadrants are shaded.
Question 2: Two identical shapes overlap. The overlap region has 4 square units; each shape is 10 square units. What is the combined visible area?
- 16 (Correct answer)
- 20
- 24
- 18
Correct answer: 16
Total visible area = 10 + 10 − 4 = 16 square units.
Question 3: A grid pattern has a dot moving one cell right and one cell down each step. If it starts at position (1,1), where is it after 3 steps?
- (3,3)
- (4,4) (Correct answer)
- (2,4)
- (4,3)
Correct answer: (4,4)
Starting at (1,1) and moving +1,+1 each step: (2,2), (3,3), (4,4) after 3 steps.
Question 4: Which net folds into a cube? A net with 4 squares in a row and 1 square on top and bottom of the second square.
- It cannot form a cube
- It forms a cube (Correct answer)
- It forms a rectangular prism
- It forms a pyramid
Correct answer: It forms a cube
A cross-shaped net of 6 squares (4 in a row, 1 above and 1 below the second) correctly folds into a cube.
Question 5: In a figure analogy, a filled circle becomes an empty circle when the background changes from white to black. A filled square with a white background becomes ___.
- Empty square, white background
- Filled square, black background
- Empty square, black background (Correct answer)
- Filled circle, black background
Correct answer: Empty square, black background
Applying the same rule (filled → empty, white → black), the result is an empty square on a black background.
Question 6: A regular hexagon is divided into 6 equilateral triangles. If 4 triangles are shaded, what fraction is unshaded?
- 1/3 (Correct answer)
- 2/6
- 1/6
- 1/2
Correct answer: 1/3
6 − 4 = 2 unshaded triangles; 2/6 = 1/3 of the hexagon is unshaded.
OLSAT OLSAT Nonverbal Reasoning 2
In a pattern, each square is shaded one additional quadrant clockwise per step.
After 4 steps, how many quadrants are shaded?