Question

Given below are three matrices with black (●) and white (○) dots arranged using a particular logic. Identify the logic and choose the option that matches (is the next frame of) the sequence. 

• A. (as shown)
• B. (as shown)
• C. (as shown)
• D. (as shown)

Hint:

When small motifs repeat with changed orientation and swapped fill, test “rotate + invert” as a compound step; apply it successively to predict the next frame.

Answer 1

The Correct Option is C

Look across the three given matrices from left to right:
The pattern of positions is preserved up to a $90^\circ$ clockwise rotation.
Colours invert at each step: every white (○) becomes black (●) and every black becomes white.
So the transition is: \(\text{rotate }90^\circ\) & \(\text{invert colours}\); then repeat the same operation again. 
Applying this once more to the third matrix produces the fourth matrix, which is exactly option (C).