Which of the following terms logically completes the given alphanumeric series: E3V, H7S, … — State PSC Exam

Which of the following terms logically completes the given alphanumeric series:

E3V, H7S, K15P, N31M, \dots

Q63J

The correct term is obtained by shifting the first letter forward by 3 positions (

N \rightarrow Q

), applying the numerical rule

n_{k+1} = 2n_k + 1

(

31 \rightarrow 63

), and shifting the last letter backward by 3 positions (

M \rightarrow J

Analyze the pattern of the first letter in each term.

The sequence of first letters is

E (5), H (8), K (11), N (14)

. The pattern adds

3

to the alphabetical position each time. The next letter is

14 + 3 = 17

, which corresponds to

Q

To establish the progressive forward positional shift rule.

Analyze the numerical pattern in the middle of each term.

The numerical sequence is

3, 7, 15, 31

. Each term is obtained by multiplying the previous term by

2

and adding

1

(

3 \times 2 + 1 = 7

;

7 \times 2 + 1 = 15

;

15 \times 2 + 1 = 31

). The next number is

31 \times 2 + 1 = 63

To identify the arithmetic progression operating on the numeric component.

Analyze the pattern of the last letter in each term.

The sequence of last letters is

V (22), S (19), P (16), M (13)

. The pattern subtracts

3

from the alphabetical position each time. The next letter is

13 - 3 = 10

, which corresponds to

J

To establish the progressive reverse positional shift rule.

Combine the results from all three components.

Combining

Q

63

, and

J

yields the next term

Q63J

To form the complete missing term.

Alphanumeric Series Completion with Simultaneous Positional Shifts and Operation Patterns

Question