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Option 3 : O, N, R and P
Given series: P M S K Q A B M N O P Q R W
1) Letters at even positions: M, K, A, M, O, Q, W
Succeeding letters: N, L, B, N, P, R, X
2) Letters at odd positions: P, S, Q, B, N, P, R
Preceding Letters: O, R, P, A, M, O, Q
New series: O, N, R, L, P, B, A, N, M, P, O, R, Q, X
Letters appearing twice in the new series: O, N, R and P
Hence, the answer is option 3.
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