Question

The next alphabet in the sequence D, G, K, P, ?

• A. U
• B. V
• C. W
• D. S

Hint:

Write the numbers of the letters directly above them on your question paper:
D(4) \(\xrightarrow{+3}\) G(7) \(\xrightarrow{+4}\) K(11) \(\xrightarrow{+5}\) P(16) \(\xrightarrow{+6}\) V(22).
This simple visual representation helps you spot patterns within seconds.

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The question is based on the topic of Alphabet Series.
We are given a sequence of letters: D, G, K, P.
We need to determine the logical pattern of intervals between these letters and identify the next term.

Step 2: Key Formula or Approach:
Convert each letter into its corresponding numerical position in the standard English alphabet (A = 1, B = 2, ..., Z = 26).
Write down the sequence of numbers and compute the differences between consecutive terms.
Extend the mathematical pattern to find the position of the missing letter.

Step 3: Detailed Explanation:

• Let us assign the alphabetical positions to each letter in the series:
- D is the 4th letter.
- G is the 7th letter.
- K is the 11th letter.
- P is the 16th letter.

• Write down the resulting numerical sequence:
\[ 4, 7, 11, 16, \dots \]

• Let us analyze the differences between consecutive terms:
- From the first to second term: \(7 - 4 = +3\)
- From the second to third term: \(11 - 7 = +4\)
- From the third to fourth term: \(16 - 11 = +5\)

• The difference between consecutive terms increases by \(1\) each time: \(+3, +4, +5\).

• Following this pattern, the next difference must be:
\[ +5 + 1 = +6 \]

• Add this difference to the position of the last letter P (16):
\[ 16 + 6 = 22 \]

• The 22nd letter in the English alphabet is

V.
- Let us double check: T=20, U=21, V=22. This is correct.

• Therefore, the next letter in the series is V, which corresponds to Option (B).


Step 4: Final Answer:
The next alphabet in the sequence is V, which matches Option (B).