Crossover Aptitude Test Spatial Reasoning: Odd One Out 5 — Questions and Answers
Question 1: Four figures each show a pattern inside a circle. Which is the odd one out? A) A diameter line dividing the circle B) A chord that does not pass through the center C) A tangent line touching the circle at one point D) A secant line crossing through two points
- A diameter line dividing the circle
- A chord that does not pass through the center
- A tangent line touching the circle at one point (Correct answer)
- A secant line crossing through two points
Correct answer: A tangent line touching the circle at one point
The diameter, chord, and secant all intersect the circle at two points, while the tangent touches the circle at exactly one point — making it the odd one out.
Question 2: Which is the odd one out based on concavity? A) Regular star polygon (5 points) B) Crescent shape C) Arrow head shape D) Regular pentagon
- Regular star polygon (5 points)
- Crescent shape
- Arrow head shape
- Regular pentagon (Correct answer)
Correct answer: Regular pentagon
A star polygon, crescent, and arrowhead are all concave shapes (they have at least one interior angle greater than 180°), while a regular pentagon is convex with all interior angles less than 180°.
Question 3: Each image shows two shapes. Which pair is the odd one out? A) A shape and its mirror image B) A shape and its 180° rotation C) A shape and a scaled-up version of itself D) A shape and its vertical flip
- A shape and its mirror image
- A shape and its 180° rotation
- A shape and a scaled-up version of itself (Correct answer)
- A shape and its vertical flip
Correct answer: A shape and a scaled-up version of itself
Mirror image, 180° rotation, and vertical flip all preserve the size of the shape, while a scaled-up version changes the size — making C the odd one out by altering a different property.
Question 4: Four 3D shapes are partially hidden behind a wall. Which hidden shape is the odd one out based on its visible silhouette being a circle? A) Sphere B) Cylinder viewed end-on C) Cone viewed from the tip D) Cube viewed corner-on
- Sphere
- Cylinder viewed end-on
- Cone viewed from the tip
- Cube viewed corner-on (Correct answer)
Correct answer: Cube viewed corner-on
A sphere, cylinder viewed end-on, and cone viewed from its tip all project a perfectly circular silhouette, while a cube viewed corner-on projects a hexagonal silhouette, not a circle.
Question 5: Which is the odd one out in this group of transformations? A) Translation (sliding) B) Rotation (turning) C) Reflection (flipping) D) Dilation (scaling)
- Translation (sliding)
- Rotation (turning)
- Reflection (flipping)
- Dilation (scaling) (Correct answer)
Correct answer: Dilation (scaling)
Translation, rotation, and reflection are all isometric transformations that preserve the size and shape of the figure, while dilation changes the size — it is not an isometry.
Question 6: Four grids show a path from start to finish. Which path is the odd one out? A) A path that only moves right or up B) A path that moves in all four directions C) A path that only moves diagonally D) A path that forms a closed loop back to start
- A path that only moves right or up
- A path that moves in all four directions
- A path that only moves diagonally
- A path that forms a closed loop back to start (Correct answer)
Correct answer: A path that forms a closed loop back to start
Paths A, B, and C all travel from a distinct start point to a distinct end point, while path D returns to where it began — it is a closed loop rather than an open path.
Question 7: Each figure shows a shape divided into equal parts. Which is the odd one out? A) Square divided into 4 equal triangles by both diagonals B) Circle divided into 4 equal sectors C) Rectangle divided into 4 equal rectangles by two midlines D) Equilateral triangle divided into 4 equal triangles by midpoints
- Square divided into 4 equal triangles by both diagonals (Correct answer)
- Circle divided into 4 equal sectors
- Rectangle divided into 4 equal rectangles by two midlines
- Equilateral triangle divided into 4 equal triangles by midpoints
Correct answer: Square divided into 4 equal triangles by both diagonals
The circle, rectangle, and equilateral triangle are each divided into 4 parts that are identical in both shape and size, while the square's diagonal division creates 4 right triangles that are equal in area but each sub-piece is not congruent to the next without rotation.
Crossover Aptitude Test Spatial Reasoning: Odd One Out 5
Four figures each show a pattern inside a circle.
Which is the odd one out? A) A diameter line dividing the circle B) A chord that does not pass through the center C) A tangent line touching the circle at one point D) A secant line crossing through two points