Question

Select the term that will come next in the following series.
PRG, VLJ, BFM

• A. HZP
• B. HZQ
• C. HAP
• D. HAQ

Hint:

For letter series problems, break down the series by letter position. Convert letters to their numerical positions in the alphabet to easily identify arithmetic patterns (+n, -n, ×n, etc.).

Answer 1

The Correct Option is A

Step 1: Understanding the Question:
We are given a series of three-letter terms and need to find the next term in the sequence. This requires identifying the pattern for each letter position (first, second, and third) across the terms.
Step 2: Detailed Explanation:
Let's analyze the pattern for each letter position separately. We can use the alphabetical position of each letter (A=1, B=2, ..., Z=26).
Pattern for the first letter:
The first letters are P, V, B.
- P is the 16th letter.
- V is the 22nd letter.
- B is the 2nd letter.
The transition from P to V is \(16 \rightarrow 22\), which is a step of +6.
The transition from V to B is \(22 \rightarrow 2\). In a circular alphabet, this is \(22 + 6 = 28\). Since there are 26 letters, the 28th letter is the 2nd letter (28 - 26 = 2), which is B. So, the pattern is +6.
The next first letter will be B(2) + 6 = 8th letter, which is H.
Pattern for the second letter:
The second letters are R, L, F.
- R is the 18th letter.
- L is the 12th letter.
- F is the 6th letter.
The transition from R to L is \(18 \rightarrow 12\), which is a step of -6.
The transition from L to F is \(12 \rightarrow 6\), which is a step of -6. The pattern is -6.
The next second letter will be F(6) - 6 = 0 or 26th letter, which is Z.
Pattern for the third letter:
The third letters are G, J, M.
- G is the 7th letter.
- J is the 10th letter.
- M is the 13th letter.
The transition from G to J is \(7 \rightarrow 10\), which is a step of +3.
The transition from J to M is \(10 \rightarrow 13\), which is a step of +3. The pattern is +3.
The next third letter will be M(13) + 3 = 16th letter, which is P.
Step 3: Final Answer:
Combining the next letters for each position, we get H, Z, and P. The next term in the series is HZP.