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Solution

✅ Correct Option: 2

Looking at the series: Z3A, W7E, T15I, Q31M, N63Q, ?

Each term has three components: First Letter, Number, Last Letter

Analyzing the first letters:

Z, W, T, Q, N, ?

Z (26th letter) → W (23rd letter) → T (20th letter) → Q (17th letter) → N (14th letter)

The pattern decreases by 3 each time.

Next: 14 - 3 = 11th letter = K


Analyzing the numbers:

3, 7, 15, 31, 63, ?

3=22−13 = 2^2 - 1

7=23−17 = 2^3 - 1

15=24−115 = 2^4 - 1

31=25−131 = 2^5 - 1

63=26−163 = 2^6 - 1

The pattern is 2n−12^n - 1 where n increases by 1.

Next: 27−1=128−1=1272^7 - 1 = 128 - 1 = 127


Analyzing the last letters:

A, E, I, M, Q, ?

A (1st letter) → E (5th letter) → I (9th letter) → M (13th letter) → Q (17th letter)

The pattern increases by 4 each time.

Next: 17 + 4 = 21st letter = U


The next term in the series is: K127U

Therefore, the answer is Option 2: K127U

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