Which of the following terms logically replaces the question mark (?) to complete the give… — State PSC Exam

Which of the following terms logically replaces the question mark (?) to complete the given alphanumeric series?

P3C, \quad R7F, \quad ?, \quad V27L, \quad X43O

T15I

The correct term is obtained by independently evaluating the three sub-series: first letters advance by

+2

(

P, R, T, V, X

), central numbers increment by expanding step differences of

+4, +8, +12, +16

(

3, 7, 15, 27, 43

), and third letters advance by

+3

(

C, F, I, L, O

). Unifying these components produces

T15I

Analyze the pattern of the first letter in each term

The first letters follow an increasing positional shift of

+2

P(16) \xrightarrow{+2} R(18) \xrightarrow{+2} T(20) \xrightarrow{+2} V(22) \xrightarrow{+2} X(24)

. Thus, the missing first letter is

T

Tracking alphabet positional values reveals a constant linear addition of 2 units.

Analyze the pattern of the central numerical values

The differences between consecutive numbers form a sequence of multiples of

4

7 - 3 = 4

, so the next difference is

4 + 4 = 8

, giving

7 + 8 = 15

. Verifying subsequent terms:

15 + 12 = 27

and

27 + 16 = 43

. Thus, the missing number is

15

The number sequence follows an increasing double-difference pattern where each term's increment grows by

+4

Analyze the pattern of the third letter in each term

The third letters follow an increasing positional shift of

+3

C(3) \xrightarrow{+3} F(6) \xrightarrow{+3} I(9) \xrightarrow{+3} L(12) \xrightarrow{+3} O(15)

. Thus, the missing third letter is

I

Tracking alphabet positional values reveals a constant shift of 3 steps forward.

Combine the results of all three components

Combining the first letter

T

, middle number

15

, and third letter

I

yields the complete term

T15I

Each element operates independently according to its own sub-rule.

Alphanumeric Series Completion with Multi-Pattern Positional Shifts

Estimated Time:1m 15s

Question