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Which of the given options can replace the question mark (?) in the following series to make it logically complete? FHI 21 IKL 18 LNO 15 OQR 12 ?
RTU 9
RTV 10
RST 9
RTU 10
RTU 9
Observe the first letter of each group increments by +3, and the numeric value decreases by 3. Calculate only the first letter and the number to eliminate all other options instantly.
Observe the first letter of each group increments by +3, and the numeric value decreases by 3. Calculate only the first letter and the number to eliminate all other options instantly.
Analyze Letter Transitions
Observe the first letter of each triplet: F (+3) = I, I (+3) = L, L (+3) = O, O (+3) = R. The second letter follows: H (+3) = K, K (+3) = N, N (+3) = Q, Q (+3) = T. The third letter follows: I (+3) = L, L (+3) = O, O (+3) = R, R (+3) = U. Thus, the letters are R, T, U.
Analyze Numeric Transitions
The numbers follow a simple arithmetic progression: 21 (-3) = 18, 18 (-3) = 15, 15 (-3) = 12, 12 (-3) = 9. The final number is 9.
B is wrong because the third letter is U (not V) and the number is 9 (not 10). C is wrong because the second letter is T (not S). D is wrong because the number is 9 (not 10).
A is correct because the letter pattern follows a +3 shift for each position and the numeric sequence decreases by a constant value of 3, resulting in RTU 9.
In alphanumeric series, always solve the letter pattern and number pattern separately. Often, solving just two elements is sufficient to identify the unique correct option.