Mensa IQ Spatial and Abstract Reasoning Questions and Answers 1 — Questions and Answers
Question 1: Which of the following cubes can be made from the unfolded pattern shown? The pattern is a standard six-sided die layout.
- A cube where the '1' face is opposite the '6' face, and when '2' is on top, '3' is on the front, '5' is on the right. (Correct answer)
- A cube where the '2' face is opposite the '5' face.
- A cube where the '3' face is adjacent to the '4' face.
- A cube where the '1' face is opposite the '2' face.
Correct answer: A cube where the '1' face is opposite the '6' face, and when '2' is on top, '3' is on the front, '5' is on the right.
In a standard die layout, opposite faces add up to 7. Therefore, 1 is opposite 6, 2 is opposite 5, and 3 is opposite 4. Option A correctly describes a possible orientation based on this rule. When the net is folded, if 2 is on top and 3 is front, 5 must be on the right side.
Question 2: Observe the sequence of figures. Which of the answer choices completes the series?
- A square with a circle inside.
- A triangle with a circle inside.
- A square with a smaller square inside.
- A circle with a triangle inside. (Correct answer)
Correct answer: A circle with a triangle inside.
The sequence follows a pattern of an outer shape containing an inner shape. The outer shape rotates through a sequence: Triangle, Square, Circle. The inner shape follows its own sequence: Square, Circle, Triangle. The first figure is a Triangle containing a Square. The second is a Square containing a Circle. Following this logic, the third figure must be a Circle containing a Triangle.
Question 3: A piece of paper is folded twice and then a hole is punched through it. Which pattern will be observed when the paper is fully unfolded?
- Four holes in a square formation in the center. (Correct answer)
- Two holes aligned vertically in the center.
- One hole in the center.
- Four holes in a diagonal line from corner to corner.
Correct answer: Four holes in a square formation in the center.
The first fold is horizontal, and the second is vertical, resulting in a small square quadrant of the original paper. A punch in the center of this quadrant means there is one hole through all four layers. When unfolded vertically, there will be two holes, one above the other. When unfolded horizontally, these two holes will be mirrored, resulting in a total of four holes arranged in a square pattern in the center of the paper.
Question 4: Figure A is to Figure B as Figure C is to...?
- Figure B
- Figure A
- A 90-degree clockwise rotation of Figure C (Correct answer)
- A mirror image of Figure C
Correct answer: A 90-degree clockwise rotation of Figure C
The relationship between Figure A and Figure B is a 90-degree clockwise rotation. To maintain the analogy, Figure C must also be rotated 90 degrees clockwise to produce the correct corresponding figure.
Question 5: Which of the following figures is the odd one out?
- A five-pointed star (Correct answer)
- A hexagon
- A square
- A pentagon
Correct answer: A five-pointed star
The square, pentagon, and hexagon are all regular polygons with a specific number of sides (4, 5, and 6 respectively). The five-pointed star, while having five points, is a star polygon, not a simple, regular polygon like the others. Its lines intersect, which is a key difference.
Question 6: In a 3x3 matrix of symbols, one cell is empty. Based on the patterns in the rows and columns, which symbol should fill the empty cell?
- A solid black circle.
- A triangle pointing down.
- A horizontal line.
- A square with a diagonal line. (Correct answer)
Correct answer: A square with a diagonal line.
Each row and each column in the 3x3 matrix contains three elements: a shape (square, circle, triangle), a shading (solid, striped, empty), and a line (vertical, horizontal, diagonal). The missing cell is in a row and column that already have the other two shapes, shadings, and lines accounted for. The only missing combination is a square with a diagonal line and empty shading.
Mensa IQ Spatial and Abstract Reasoning Questions and Answers 1
Which of the following cubes can be made from the unfolded pattern shown? The pattern is a standard six-sided die layout.