Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?
YTQ12 BWT14 EZW31 HCZ97 ?
Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?
YTQ12 BWT14 EZW31 HCZ97 ?
Solution
Looking at the series: YTQ12, BWT14, EZW31, HCZ97, ?
We need to find patterns in the letters and numbers separately.
Pattern in First Letter: Y → B → E → H → ?
Converting to positions: Y(25) → B(2) → E(5) → H(8)
The position increases by 3 each time (wrapping around after Z).
25 → 2 (add 3: 25+3=28, 28-26=2)
2 → 5 (add 3)
5 → 8 (add 3)
8 → 11 (add 3)
Position 11 is K
Pattern in Second Letter: T → W → Z → C → ?
Converting to positions: T(20) → W(23) → Z(26) → C(3)
Again, adding 3 each time (wrapping around).
20 → 23 (add 3)
23 → 26 (add 3)
26 → 3 (add 3: 26+3=29, 29-26=3)
3 → 6 (add 3)
Position 6 is F
Pattern in Third Letter: Q → T → W → Z → ?
Converting to positions: Q(17) → T(20) → W(23) → Z(26)
Differences: +3, +3, +3
Following the pattern, next would be +3.
26 → 3 (add 3: 26+3=29, 29-26=3)
Position 3 is C (wrapping around to C)
Pattern in Numbers: 12 → 14 → 31 → 97 → ?
Looking at the relationship:
The pattern: multiply by increasing integers (1, 2, 3, 4, ...) and add the next integer (2, 3, 4, 5, ...)
Next number:
Combining all: KFC393
Answer: Option 1