Question 10

Select the figure that does NOT belong in the following group.

Q10

Look for a simple property that is common to three of the four figures but missing from the fourth.

The quickest distinguishing property here is the amount of rotational symmetry each picture possesses.
• Figures A, B and D can all be rotated through $$90^{\circ}$$ (one-quarter of a full turn) and still look exactly the same. That means they have a rotational symmetry of order 4.
• Figure C does not repeat after a $$90^{\circ}$$ turn. Its first repeat comes only after a $$120^{\circ}$$ turn, giving it a different (order 3) symmetry.

Because figure C lacks the $$90^{\circ}$$ rotational symmetry shared by the other three, it does not belong in the group.

Hence, the odd figure is Option D which is: C.

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