Question

What terms will fill the blank space in the following series ? A, Z, X, B, V, T, C, R, ______,_________

• A. P, D
• B. E, O
• C. Q, F
• D. O, Q

Hint:

Alphabetical series can have complex patterns. Sometimes, the key is to look at the position of the letters and the differences between them, considering the wrap-around nature of the alphabet.

Answer 1

The Correct Option is A

Step 1: Analyze the pattern by looking at the positions of the letters in the alphabet.
A (1), Z (26)
X (24), B (2)
V (22), T (20)
C (3), R (18)
?, ? Step 2: Look at the pattern in the first letter of each pair (odd positions in the sequence).
A (1), X (24), V (22), C (3)
The differences are: \(1 \xrightarrow{+23} 24\), \(24 \xrightarrow{-2} 22\), \(22 \xrightarrow{-19} 3\). This isnt straightforward.
Step 3: Look at the pattern in the second letter of each pair (even positions in the sequence).
Z (26), B (2), T (20), R (18)
The differences are: \(26 \xrightarrow{-24} 2\), \(2 \xrightarrow{+18} 20\), \(20 \xrightarrow{-2} 18\). This also isnt immediately clear. Step 4: Consider the relationship between the letters in each pair.
Pair 1: A (1), Z (26) - Sum = 27
Pair 2: X (24), B (2) - Sum = 26
Pair 3: V (22), T (20) - Sum = 42
Pair 4: C (3), R (18) - Sum = 21
The sums dont show a simple pattern. Lets try to see a pattern by moving inwards and outwards from the ends of the alphabet.
A (out), Z (out)
X (in), B (in)
V (in), T (in)
C (out), R (in)
If the next pair follows this, one might be further in and the other further out. Another approach: consider the movement in the alphabet with a changing step.
A $\xrightarrow{+23}$ X
Z $\xrightarrow{-24}$ B
X $\xrightarrow{-2}$ V
B $\xrightarrow{+18}$ T
V $\xrightarrow{-2}$ T
T $\xrightarrow{-17}$ C
C $\xrightarrow{+15}$ R
R $\xrightarrow{-14}$ D
The next step for the first sequence (A, X, V, C) could be +13 from C (3) which gives P (16).
The next step for the second sequence (Z, B, T, R) could be +6 from R (18) which gives X (24). This doesnt match the option.
Lets assume the pattern involves moving towards the center for one sequence and away for the other, with a changing step. Given the correct answer is P, D, the logic is not immediately obvious from my analysis.