Crossover Aptitude Test Spatial Reasoning: Odd One Out 4 — Questions and Answers
Question 1: Which object is the odd one out based on the number of faces? A) Cube (6 faces) B) Triangular prism (5 faces) C) Square pyramid (5 faces) D) Pentagonal prism (7 faces)
- Cube (6 faces)
- Triangular prism (5 faces)
- Square pyramid (5 faces)
- Pentagonal prism (7 faces) (Correct answer)
Correct answer: Pentagonal prism (7 faces)
The cube has 6 faces and the triangular prism and square pyramid each have 5 faces, but the pentagonal prism has 7 faces, making it the odd one out by having the most faces.
Question 2: Four sequences of shapes are shown. Three follow the same rule; one does not. Which is the odd rule? A) Each shape gains one side B) Each shape doubles its sides C) Shapes alternate between curved and straight-sided D) Each shape rotates 45°
- Each shape gains one side
- Each shape doubles its sides (Correct answer)
- Shapes alternate between curved and straight-sided
- Each shape rotates 45°
Correct answer: Each shape doubles its sides
Adding one side, alternating shape types, and rotating 45° are simple linear or alternating rules, while doubling sides is exponential growth — a fundamentally different rule type.
Question 3: Which is the odd one out in terms of spatial dimensions? A) Area of a rectangle B) Volume of a cylinder C) Surface area of a cube D) Area of a triangle
- Area of a rectangle
- Volume of a cylinder (Correct answer)
- Surface area of a cube
- Area of a triangle
Correct answer: Volume of a cylinder
Area of a rectangle, surface area of a cube, and area of a triangle are all two-dimensional measures (square units), while volume of a cylinder is a three-dimensional measure (cubic units).
Question 4: Each image shows a set of lines. Which is the odd one out? A) Three parallel horizontal lines B) Three parallel diagonal lines C) Three lines meeting at a single point D) Three parallel vertical lines
- Three parallel horizontal lines
- Three parallel diagonal lines
- Three lines meeting at a single point (Correct answer)
- Three parallel vertical lines
Correct answer: Three lines meeting at a single point
Options A, B, and D all show three lines that are parallel to each other (never intersecting), while option C shows three concurrent lines that all meet at one point.
Question 5: Four nets (unfolded 3D shapes) are shown. Three fold into the same type of solid; one does not. The odd net folds into: A) A cube B) A rectangular prism C) A triangular pyramid D) A different cube orientation
- A cube
- A rectangular prism
- A triangular pyramid (Correct answer)
- A different cube orientation
Correct answer: A triangular pyramid
A cube, rectangular prism, and different cube orientation are all six-faced box-type solids, while a triangular pyramid (tetrahedron) has only four triangular faces — a fundamentally different solid.
Question 6: Which is the odd one out based on mirror symmetry? A) The letter 'A' B) The letter 'B' C) The letter 'M' D) The letter 'W'
- The letter 'A'
- The letter 'B' (Correct answer)
- The letter 'M'
- The letter 'W'
Correct answer: The letter 'B'
The letters A, M, and W all have vertical mirror symmetry (left-right symmetry), while B has horizontal mirror symmetry (top-bottom) only.
Question 7: A shape is reflected, then rotated 90° clockwise. Which original shape would look identical after both transformations? A) Scalene triangle B) Asymmetric arrow C) Square D) Letter 'F'
- Scalene triangle
- Asymmetric arrow
- Square (Correct answer)
- Letter 'F'
Correct answer: Square
A square has enough symmetry that reflecting it and then rotating it 90° produces an identical-looking result, while the other asymmetric shapes would appear in a different orientation.
Crossover Aptitude Test Spatial Reasoning: Odd One Out 4
Which object is the odd one out based on the number of faces? A) Cube (6 faces) B) Triangular prism (5 faces) C) Square pyramid (5 faces) D) Pentagonal prism (7 faces)