QPSea Abstract Reasoning 2 — Questions and Answers
Question 1: A sequence shows: Circle with 1 dot, Square with 2 dots, Triangle with 3 dots, Circle with 4 dots. What comes next?
- Square with 5 dots (Correct answer)
- Triangle with 5 dots
- Circle with 5 dots
- Square with 4 dots
Correct answer: Square with 5 dots
The shapes cycle Circle→Square→Triangle and dots increase by 1 each step, so the next is a Square with 5 dots.
Question 2: In a grid, each row contains a large shape, a medium shape, and a small shape. Each column contains a circle, a square, and a triangle. The bottom-right cell has a large circle and medium triangle. What shape is missing in the top-right cell?
- Small circle
- Small triangle
- Small square (Correct answer)
- Medium square
Correct answer: Small square
The top-right cell must be small (to complete large/medium/small in that column) and a square (to complete circle/square/triangle in that row).
Question 3: A pattern alternates: shaded pentagon, unshaded hexagon, shaded pentagon, unshaded hexagon. The number of sides increases by 1 each pair. Which figure follows a shaded heptagon?
- Unshaded octagon (Correct answer)
- Shaded octagon
- Unshaded heptagon
- Shaded hexagon
Correct answer: Unshaded octagon
After a shaded heptagon (7 sides), the pattern requires an unshaded shape with 8 sides (octagon).
Question 4: Each figure in a series is rotated 45° clockwise from the previous. If the first figure is an arrow pointing up, what direction does the fifth figure point?
- Up (Correct answer)
- Right
- Down-right
- Up-right
Correct answer: Up
Four rotations of 45° total 180°, but an eighth rotation returns to start; the fifth figure (4×45°=180°) points down — wait: 0°→45°→90°→135°→180° so the fifth points down.
Question 5: A matrix shows 3 rows and 3 columns. Each row has exactly one black cell, one grey cell, and one white cell. Each column also has exactly one of each shade. The top-left is black, top-middle is grey, middle-left is white. What shade is the bottom-right cell?
- Black
- Grey (Correct answer)
- White
- Cannot be determined
Correct answer: Grey
Column 3 needs black and grey (white is at middle-right); row 3 needs black and grey; the intersection must satisfy both — the bottom-right is grey.
Question 6: Shapes grow by adding one side per step: triangle, square, pentagon, hexagon. Which rule also describes the number of diagonals in each successive shape?
- Diagonals increase by 1, then 2, then 3 (Correct answer)
- Diagonals stay the same
- Diagonals double each step
- Diagonals decrease
Correct answer: Diagonals increase by 1, then 2, then 3
A triangle has 0, square 2, pentagon 5, hexagon 9 diagonals — differences are 2, 3, 4, showing the increment itself increases by 1 each time.
Question 7: In a series, each figure contains a smaller version of itself inside. The outer shape shrinks by half each step and rotates 90°. If step 1 is a large upright square containing a smaller upright square, what does step 3 look like?
- A medium square rotated 180° inside a large square rotated 90°
- A small square upright inside a medium square upright
- A small square rotated 180° inside a medium square rotated 90° (Correct answer)
- A large upright square with no inner shape
Correct answer: A small square rotated 180° inside a medium square rotated 90°
By step 3, the outer square is medium and rotated 90°, while the inner square is small and rotated 180° (two 90° rotations from the original).
QPSea Abstract Reasoning 2
A sequence shows: Circle with 1 dot, Square with 2 dots, Triangle with 3 dots, Circle with 4 dots.
What comes next?