Difficulty: Easy
Correct Answer: Sphere
Explanation:
Introduction / Context:
This basic geometry based odd man out question tests whether you can distinguish between plane figures and solid figures. It is a very common type in simple reasoning and mathematics awareness sections.
Given Data / Assumptions:
Concept / Approach:
The key concept is the difference between 2D and 3D figures. Two dimensional shapes have only length and breadth and lie in a plane. Three dimensional figures have length, breadth, and height, and occupy space. By classifying each option as 2D or 3D, the odd shape becomes clear.
Step-by-Step Solution:
Square: A flat, two dimensional shape with four equal sides and four right angles.
Rectangle: Also a two dimensional four sided figure with opposite sides equal and all angles right angles.
Circle: A two dimensional figure consisting of all points in a plane at a fixed distance from a center.
Sphere: A three dimensional solid, like a perfect ball, with all points in space at a fixed distance from the center.
Thus three shapes are 2D plane figures, while one is a 3D solid, making the sphere the odd shape.
Verification / Alternative check:
Imagine drawing each shape on paper versus making it as a physical object. Square, rectangle, and circle are naturally drawn as flat diagrams. A true sphere, however, cannot be fully represented in a flat drawing; it is realized as a ball like object in three dimensions. This thought experiment confirms that sphere is geometrically different from the other three.
Why Other Options Are Wrong:
Common Pitfalls:
Some learners may try to classify shapes based on straight sides versus curved boundaries. Although the circle and sphere have curved boundaries, that is not the focus here. The intended distinction is between 2D and 3D, and from that point of view the sphere is uniquely different and should be chosen as the odd one out.
Final Answer:
Sphere
Discussion & Comments