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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

✅ Correct Option: 1

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:

14=12×1+214 = 12 \times 1 + 2

31=14×2+331 = 14 \times 2 + 3

97=31×3+497 = 31 \times 3 + 4

The pattern: multiply by increasing integers (1, 2, 3, 4, ...) and add the next integer (2, 3, 4, 5, ...)

Next number: 97×4+5=388+5=39397 \times 4 + 5 = 388 + 5 = 393


Combining all: KFC393

Answer: Option 1

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