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Option 1 states that both A and R are true, and R is the correct explanation of A. This is incorrect, as the reason provided for the diamond`s superior sparkle (the refractive index of diamond being less than glass) is wrong.
Option 2 suggests both A and R are true, but R is not the correct explanation of A. This statement is incorrect, because while it correctly recognizes that R is not the correct explanation of A, it mistakenly treats statement R as true.
Option 3 states that A is true, but R is false. This is the correct answer. The diamond does indeed sparkle more than its glass imitation due to its high refractive index, not lower as stated in R.
Option 4 suggests that A is false, but R is true. This statement is incorrect, as the assertion about diamond`s sparkle (A) is true, and the reasoning about its refractive index (R) is false.