Question

Find the next term in the alpha-numeric series-
Z1A, X2D, V6G, T21J, R88M, P445P, ?

• A. N2676S
• B. N2676T
• C. T2670N
• D. T2676N

Hint:

To save time, look at the options first. Since the first letter is N in both options A and B, you only need to determine whether the last letter is S or T, which is much faster than computing the entire middle number.

Answer 1

The Correct Option is A

Step 1: Understanding the Question:
We need to identify the mathematical and alphabetical patterns governing the three distinct parts (first letter, middle number, last letter) of each term in the series to find the next term.

Step 2: Detailed Explanation:
Let us analyze each of the three components separately:
1.

First Letter Series:
\[ \text{Z (26)} \rightarrow \text{X (24)} \rightarrow \text{V (22)} \rightarrow \text{T (20)} \rightarrow \text{R (18)} \rightarrow \text{P (16)} \] The letters are moving backward by 2 steps. The next letter must be \( 16 - 2 = 14 \), which corresponds to

N.
2.

Middle Number Series:
The numbers are: \( 1, 2, 6, 21, 88, 445 \)
Let us find the relationship:
- \( 1 \times 1 + 1 = 2 \)
- \( 2 \times 2 + 2 = 6 \)
- \( 6 \times 3 + 3 = 21 \)
- \( 21 \times 4 + 4 = 88 \)
- \( 88 \times 5 + 5 = 445 \)
Following this rule, the next number is:
- \( 445 \times 6 + 6 = 2670 + 6 = 2676 \)
3.

Last Letter Series:
\[ \text{A (1)} \rightarrow \text{D (4)} \rightarrow \text{G (7)} \rightarrow \text{J (10)} \rightarrow \text{M (13)} \rightarrow \text{P (16)} \] The letters are moving forward by 3 steps. The next letter must be \( 16 + 3 = 19 \), which corresponds to

S.
Combining the three parts, we get

N2676S.

Step 3: Final Answer:
(A) N2676S