Question:

Which of the options is/are simple rotations of the given figure? 

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For rotation checks, verify the four corners first, then one unique internal landmark (like a 2\(\times\)2 block). If both match after a \(90^\circ/180^\circ/270^\circ\) turn, it’s a rotation; otherwise it’s a reflection or mismatch.
Updated On: Aug 28, 2025
  • A
  • B
  • C
  • D
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The Correct Option is C

Solution and Explanation

Check rotation-invariants and corner cues:
Step 1: Corner test.
The original has a distinctive light–dark arrangement at the four corners; under \(90^\circ\) rotations these corners permute cyclically. Option (C) matches the rotated corner placement exactly.
Step 2: Stripe/cluster alignment.
Internal clusters (a 2\(\times\)2 dark block and a light run in the middle row) also align under a \(90^\circ\) rotation only in (C); (A), (B), and (D) fail one or more of these alignments, indicating reflection or mis-rotation.
Therefore, the only simple rotation is \(\boxed{(C)}\).
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