Question

Arrange the following groups to form a logical series starting with C 7 J.
A. I 13 P
B. A 5 H
C. Q 21 X
D. K 15 R
E. S 23 Z
Choose the correct answer from the options given below :

• A. B, A, D, C, E
• B. E, C, D, A, B
• C. D, E, B, A, C
• D. E, B, A, D, C

Hint:

To find alphanumeric patterns quickly, isolate the numerical components.
Arranging the numbers in ascending order ($5, 7, 13, 15, 21, 23$) immediately reveals the $+2, +6$ pattern, which determines the correct order of the letter groups.

Answer 1

The Correct Option is A

Step 1: Understanding the Question:
This question requires identifying the pattern of a combined alphanumeric series.
Each term in the series consists of a first letter, a middle number, and a final letter.
We need to determine the mathematical progression governing these three elements and arrange the given choices to form a continuous series.

Step 2: Detailed Explanation:

• Analyze the Middle Numbers:
Let's collect the numbers from the given options along with the starting term $C\ 7\ J$:
The numbers are: $5 \text{ (from B)}, 7 \text{ (from starting term)}, 13 \text{ (from A)}, 15 \text{ (from D)},
21 \text{ (from C)}, 23 \text{ (from E)}$.
Arranged in ascending order, the sequence is:
\[ 5, 7, 13, 15, 21, 23 \] Notice the differences between consecutive terms:
- $5 \rightarrow 7$ (diff $= +2$)
- $7 \rightarrow 13$ (diff $= +6$)
- $13 \rightarrow 15$ (diff $= +2$)
- $15 \rightarrow 21$ (diff $= +6$)
- $21 \rightarrow 23$ (diff $= +2$)
This alternates $+2$ and $+6$ consistently.

• Verify the First Letters:
Convert the first letters of each term to their numerical alphabet positions ($A=1, B=2, \dots$):
- B (A 5 H) $\rightarrow A = 1$
- Start (C 7 J) $\rightarrow C = 3$ (diff $= +2$)
- A (I 13 P) $\rightarrow I = 9$ (diff $= +6$)
- D (K 15 R) $\rightarrow K = 11$ (diff $= +2$)
- C (Q 21 X) $\rightarrow Q = 17$ (diff $= +6$)
- E (S 23 Z) $\rightarrow S = 19$ (diff $= +2$)
The first letters follow the exact same $+2, +6, +2, +6, +2$ pattern.

• Verify the Third Letters:
Convert the third letters to their positions:
- B (A 5 H) $\rightarrow H = 8$
- Start (C 7 J) $\rightarrow J = 10$ (diff $= +2$)
- A (I 13 P) $\rightarrow P = 16$ (diff $= +6$)
- D (K 15 R) $\rightarrow R = 18$ (diff $= +2$)
- C (Q 21 X) $\rightarrow X = 24$ (diff $= +6$)
- E (S 23 Z) $\rightarrow Z = 26$ (diff $= +2$)
The third letters also match this pattern.

• Arrange the Given Groups:
The complete logical sequence is:
\[ \text{B (A 5 H)} \rightarrow \text{C 7 J (Start)} \rightarrow \text{A (I 13 P)} \rightarrow \text{D (K 15 R)} \rightarrow \text{C (Q 21 X)} \rightarrow \text{E (S 23 Z)} \] Excluding the starting term $C\ 7\ J$, the logical order of the options is B, A, D, C, E.

Step 3: Final Answer:
The correct order to form the logical series is B, A, D, C, E.
Therefore, the correct option is (A).