Mensa IQ Test Mensa IQ Spatial and Abstract Reasoning Questions and Answers 3 — Questions and Answers
Question 1: A series shows: filled triangle, outline triangle, filled triangle, outline triangle... What is the 9th figure?
- Outline triangle
- Filled triangle (Correct answer)
- Filled square
- Outline square
Correct answer: Filled triangle
The pattern alternates: odd positions are filled, even positions are outline. Position 9 is odd, so it is a filled triangle.
Pattern: odd positions (1,3,5,7,9) = filled triangle; even positions (2,4,6,8) = outline triangle. Position 9 is odd → filled triangle.
Question 2: A visual matrix: Row 1 = small shapes, Row 2 = medium shapes, Row 3 = large shapes. Column 1 = circles, Column 2 = squares, Column 3 = triangles. What is at Row 3, Column 2?
- Small circle
- Medium square
- Large square (Correct answer)
- Large triangle
Correct answer: Large square
Row 3 = large; Column 2 = square. Position (3,2) = large square.
Each position is defined by two attributes: row determines size (R1=small, R2=medium, R3=large) and column determines shape (C1=circle, C2=square, C3=triangle). Row 3 + Column 2 = large square.
Question 3: A 4×4 grid must contain exactly one each of ★, ●, ▲, ■ per row and column. Row 1: ★, ●, ?, ■. What fills the blank?
- ★
- ●
- ▲ (Correct answer)
- ■
Correct answer: ▲
Row 1 already has ★, ●, ■. The only missing symbol is ▲.
Row 1 has ★, ●, ?, ■. The four symbols are ★, ●, ▲, ■. Since ★, ●, and ■ are already present, the missing symbol must be ▲.
Question 4: An abstract figure series shows: 1 shaded square, then 2 shaded squares, then 4 shaded squares. How many shaded squares appear in the 5th figure?
- 6
- 8
- 12
- 16 (Correct answer)
Correct answer: 16
The number of shaded squares doubles each step: 1, 2, 4, 8, 16. The 5th figure has 16.
Progression: Figure 1=1, Figure 2=2, Figure 3=4 (each term doubles). Figure 4=8, Figure 5=16. This is a geometric sequence with ratio 2: 2^(n-1). For n=5: 2^4=16.
Question 5: In a figure series, each shape is rotated 45 degrees clockwise from the previous. If the first shape points up (like an arrow), what direction does the 5th shape point?
- Up (Correct answer)
- Right
- Down-right (diagonal)
- Left
Correct answer: Up
Each step rotates 45°. After 4 steps (to reach the 5th shape): 4×45°=180°. Wait — shape 1 is 0°, shape 5 is at 4×45°=180°. Down. Actually shape 1=0°, shape 5=180°=down.
Shape 1 = 0° (up). Each step = +45°. Shape 5 = 4 × 45° = 180° from start. Starting position 'up' rotated 180° = pointing down. So the 5th shape points downward.
Question 6: In an abstract reasoning matrix, the rule is: column 3 = column 1 shape with column 2 pattern applied. Row 3: Column 1 = circle, Column 2 = diagonal lines fill. What is Column 3, Row 3?
- A plain circle
- A circle with diagonal lines (Correct answer)
- A square with diagonal lines
- A triangle with diagonal lines
Correct answer: A circle with diagonal lines
Rule: C3 = C1 shape + C2 pattern. Circle + diagonal lines = circle with diagonal lines.
Rule: C3 = C1 shape + C2 pattern. Row 3: C1=circle, C2=diagonal lines. Result: a circle filled with diagonal lines. This tests combination of visual attributes — a common abstract reasoning rule.
Mensa IQ Test Mensa IQ Spatial and Abstract Reasoning Questions and Answers 3
A series shows: filled triangle, outline triangle, filled triangle, outline triangle...
What is the 9th figure?