Complete the given alphanumeric series by identifying the missing term that logically foll… — State PSC Exam

Complete the given alphanumeric series by identifying the missing term that logically follows the established rules.

Answer:In the series

A4Z, C9X, F16U, J25Q, \dots

, the missing fifth term is 【O36L】.

Answer

The correct missing term is O36L.

The term O36L correctly completes the series because the first letter advances by increasing forward steps (+2, +3, +4, +5 to reach O), the middle number follows the sequence of consecutive squares (

2^2, 3^2, 4^2, 5^2, 6^2 = 36

), and the last letter retreats by increasing backward steps (-2, -3, -4, -5 to reach L).

Step-by-Step Solution

Analyze the first letter pattern

The positional values in the forward alphabetical order are:

A(1) \xrightarrow{+2} C(3) \xrightarrow{+3} F(6) \xrightarrow{+4} J(10)

. The next increment must be

+5

, giving position

10 + 5 = 15

, which corresponds to the letter

O

The forward position shift increases by

+1

at each step.

Analyze the numerical middle term pattern

The numerical terms are perfect squares of consecutive integers starting from

2

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

. The next term is

6^2 = 36

The numerical sequence represents consecutive integer squares (

n^2

for

n = 2, 3, 4, 5, 6

)....

Analyze the last letter pattern

The positional values in reverse alphabetical order decrease as follows:

Z(26) \xrightarrow{-2} X(24) \xrightarrow{-3} U(21) \xrightarrow{-4} Q(17)

. The next decrement must be

-5

, giving position

17 - 5 = 12

, which corresponds to the letter

L

The backward position shift increases by

-1

at each step.

Combine the components

Combining the calculated parts yields the complete term:

O + 36 + L = O36L

Joining the first letter, middle number, and last letter produces the complete missing term.

Key Concept

Alphanumeric Series with Multi-layered Incremental Positional Shifts and Perfect Squares

Estimated Time:1m 30s

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