Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete? GXM 5, JVN 11, MTO 24, PRP 51, ?
SPQ 106
Track the first letters: G, J, M, P move forward by 3 each time (G→J→M→P), so the next is S.
Track the second letters: X, V, T, R move backward by 2 each time (X→V→T→R), so the next is P.
Track the third letters: M, N, O, P move forward by 1 each time, so the next is Q. The letter cluster is therefore SPQ.
Now the numbers 5, 11, 24, 51 follow \(\times2+1\), \(\times2+2\), \(\times2+3\): \(5\times2+1=11\), \(11\times2+2=24\), \(24\times2+3=51\).
Continuing the pattern, the next number is \(51\times2+4=106\), giving the cluster SPQ 106.
Hence, the answer is SPQ 106.
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