Understanding Letter Analogy Patterns

This question involves identifying a pattern in how one set of letters is transformed into another set based on their positions in the English alphabet. We are given two examples of this transformation: JPVZ becomes PVBF, and HQRS becomes NWXY. Our task is to apply the same rule to EJUO to find its corresponding letter set.

Analyzing the First Analogy: JPVZ to PVBF

Let's look at the position of each letter in the alphabet:

• J is the 10th letter.
• P is the 16th letter.
• V is the 22nd letter.
• Z is the 26th letter.

Now, let's look at the corresponding letters in PVBF:

• P is the 16th letter.
• V is the 22nd letter.
• B is the 2nd letter.
• F is the 6th letter.

Let's compare the positions:

• J (10th) to P (16th): $16 - 10 = 6$ (Increase of 6 positions)
• P (16th) to V (22nd): $22 - 16 = 6$ (Increase of 6 positions)
• V (22nd) to B (2nd): From V (22) to Z (26) is 4 positions. From A (1) to B (2) is 1 position. If we wrap around the alphabet (Z is followed by A), V to B is $22 \rightarrow 23(W) \rightarrow 24(X) \rightarrow 25(Y) \rightarrow 26(Z) \rightarrow 1(A) \rightarrow 2(B)$. This is a total increase of 6 positions ($26 - 22 + 2 = 6$).
• Z (26th) to F (6th): From Z (26) to A (1) is 1 position. From A (1) to F (6) is 5 positions. Wrapping around, Z to F is $26 \rightarrow 1(A) \rightarrow 2(B) \rightarrow 3(C) \rightarrow 4(D) \rightarrow 5(E) \rightarrow 6(F)$. This is a total increase of 6 positions ($26 - 26 + 6 = 6$).

The pattern appears to be adding 6 to the alphabetical position of each letter, wrapping around from Z to A if necessary.

Verifying the Pattern: HQRS to NWXY

Let's check if the same +6 pattern holds for the second pair:

• H is the 8th letter.
• Q is the 17th letter.
• R is the 18th letter.
• S is the 19th letter.

Corresponding letters in NWXY:

• N is the 14th letter.
• W is the 23rd letter.
• X is the 24th letter.
• Y is the 25th letter.

Comparing positions:

• H (8th) to N (14th): $8 + 6 = 14$. Correct.
• Q (17th) to W (23rd): $17 + 6 = 23$. Correct.
• R (18th) to X (24th): $18 + 6 = 24$. Correct.
• S (19th) to Y (25th): $19 + 6 = 25$. Correct.

The pattern of adding 6 to the letter position (with wrap-around) is confirmed.

Applying the Pattern to EJUO

Now, we apply the same rule (add 6 to the position) to each letter in EJUO:

• E is the 5th letter. Adding 6: $5 + 6 = 11$. The 11th letter is K.
• J is the 10th letter. Adding 6: $10 + 6 = 16$. The 16th letter is P.
• U is the 21st letter. Adding 6: $21 + 6 = 27$. Since there are 26 letters, $27 - 26 = 1$. The 1st letter is A. (Wraps around)
• O is the 15th letter. Adding 6: $15 + 6 = 21$. The 21st letter is U.

So, EJUO is related to KPAU.

Summary of Transformation

The word related to EJUO is KPAU.

Checking the Options

Let's compare our result, KPAU, with the given options:

1. KPAU
2. JPHN
3. NWJF
4. ZSFO

Our calculated result, KPAU, matches Option 1.

Revision Table: Letter Analogy

Additional Information: Solving Analogy Questions

Letter analogy questions test your ability to find relationships between letters or groups of letters. Common relationships include:

• Adding or subtracting a fixed number to each letter's position.
• Adding or subtracting different numbers for different letter positions.
• Reversing the order of letters.
• Using opposite letters (e.g., A is opposite Z, B is opposite Y, etc. based on position $n$ being opposite $27-n$).
• Skipping letters in a sequence.

To solve these problems effectively:

• Write down the alphabet and their positions (A=1, B=2, ..., Z=26).
• Compare the first letter of the first word to the first letter of the second word, then the second to the second, and so on.
• Look for a consistent pattern in the change of positions.
• If a simple pattern isn't obvious, check for other relationships like reversals or opposite letters.
• Once you find a pattern that works for the given examples, apply it carefully to the word you need to transform.
• Always double-check your calculation, especially when dealing with wrap-around shifts.