Question

Find the next number letter:
$6\text{A}$, $12\text{D}$, $18\text{G}$, $24\text{J}$,

• A. $48\text{M}$
• B. $30\text{M}$
• C. $30\text{L}$
• D. $48\text{L}$

Answer 1

The correct option is B $30\text{M}$

The given alphanumeric sequence:
$6\text{A}$, $12\text{D}$, $18\text{G}$, $24\text{J}$, ____

$\bullet$ Let's look at the number sequence first:
$6$, $12$, $18$, $24$, ____

From the above numeric sequence, we get the pattern as
$6+6=12$,
$12+6=18$,
$18+6=24$,
$24+6=\underset{–}{30}$

Hence,
$\text{Next numeric term}$
$=\text{Previous numeric term}+6$
$=24+6$
$=\underset{–}{30}$

$\bullet$ Next, we will look at the alphabet sequence:
$\text{A}$, $\text{D}$, $\text{G}$, $\text{J}$, ____

As per the positions of the given alphabets, the above alphabet sequence can be converted to numeric sequence as
$1$, $4$, $7$, $10$, ____

Now, from the corresponding numeric sequence, we get the pattern as
$1+3=4$,
$4+3=7$,
$7+3=10$,
$10+3=\underset{–}{13}$

Hence,
$\text{Next numeric term}$
$=\text{Previous numeric term}+3$
$=10+3$
$=13$

And, the position $13$ corresponds to the alphabet $\underset{–}{\text{M}}$.

$\therefore$ The next number letter in the final alphanumeric sequence is $30\text{M}$.

$6\text{A}$, $12\text{D}$, $18\text{G}$, $24\text{J}$, $\underset{–}{30\text{M}}$