UCAT Abstract Reasoning 3 — Questions and Answers
Question 1: In an odd-one-out question, four shapes are squares and one is a rhombus with unequal diagonals. Which is the odd one out?
- Square with 4 equal sides
- Square rotated 45°
- Rhombus with unequal diagonals (Correct answer)
- Square with a dot inside
Correct answer: Rhombus with unequal diagonals
The rhombus with unequal diagonals is not a square, making it the odd one out.
Question 2: A pattern rule states: the total number of sides across all shapes in each box remains constant at 12. A box has one square (4 sides) and one pentagon (5 sides). What shape completes the box?
- Triangle (Correct answer)
- Square
- Pentagon
- Hexagon
Correct answer: Triangle
4 + 5 = 9 sides used; 12 − 9 = 3 sides needed, so a triangle completes the box.
Question 3: Each row in an abstract reasoning question has shapes that increase in shading from 0% to 50% to 100%. The third shape in a row where the first is 0% shaded and the second is 50% shaded is:
- 0% shaded
- 25% shaded
- 75% shaded
- 100% shaded (Correct answer)
Correct answer: 100% shaded
The pattern increases shading by 50% each step: 0% → 50% → 100%.
Question 4: Set A figures all have internal symmetry (at least one line of symmetry). Set B figures have no lines of symmetry. Which set does a regular pentagon belong to?
- Set A (Correct answer)
- Set B
- Neither
- Both
Correct answer: Set A
A regular pentagon has 5 lines of symmetry, so it belongs to Set A.
Question 5: In a series, each figure is produced by connecting every third dot on a circle: 12 dots → 4-pointed star, 15 dots → 5-pointed star, 18 dots → ?
- 6-pointed star (Correct answer)
- 7-pointed star
- 8-pointed star
- 9-pointed star
Correct answer: 6-pointed star
With 18 dots and connecting every third, 18/3 = 6 points, producing a 6-pointed star.
Question 6: A figure is reflected across the y-axis and then rotated 180°. Which single transformation is equivalent to this combination?
- Reflection across the x-axis (Correct answer)
- Reflection across the y-axis
- Rotation 90° clockwise
- No transformation
Correct answer: Reflection across the x-axis
Reflecting across the y-axis and then rotating 180° is equivalent to a single reflection across the x-axis.
In an odd-one-out question, four shapes are squares and one is a rhombus with unequal diagonals.
Which is the odd one out?