Understanding Letter Analogies

Letter analogies require you to find the relationship between two sets of letters and apply that same relationship to a third set to find the fourth. In this question, we are given the analogy ZAYB : XCWD :: VEUF : ?. We need to find the set of letters that completes the analogy with VEUF.

Analyzing the Pattern in ZAYB : XCWD

Let's look at how the letters in ZAYB change to become XCWD. We can examine the change in position for each corresponding letter in the English alphabet.

• The first letter Z changes to X. Z is the 26th letter, and X is the 24th. This is a change of -2 positions (26 − 2 = 24).
• The second letter A changes to C. A is the 1st letter, and C is the 3rd. This is a change of +2 positions (1 + 2 = 3).
• The third letter Y changes to W. Y is the 25th letter, and W is the 23rd. This is a change of -2 positions (25 − 2 = 23).
• The fourth letter B changes to D. B is the 2nd letter, and D is the 4th. This is a change of +2 positions (2 + 2 = 4).

So, the pattern observed is a change of -2, +2, -2, +2 applied sequentially to the letters.

Let's represent this transformation in a table:

Applying the Pattern to VEUF : ?

Now we apply the same -2, +2, -2, +2 pattern to the letters in VEUF to find the missing set of letters.

• Apply -2 to the first letter V. V is the 22nd letter. 22 − 2 = 20. The 20th letter is T.
• Apply +2 to the second letter E. E is the 5th letter. 5 + 2 = 7. The 7th letter is G.
• Apply -2 to the third letter U. U is the 21st letter. 21 − 2 = 19. The 19th letter is S.
• Apply +2 to the fourth letter F. F is the 6th letter. 6 + 2 = 8. The 8th letter is H.

Following the pattern, the letters VEUF transform into TGSH.

Here is the transformation in a table:

Matching with Options

The letters derived by applying the pattern to VEUF are TGSH.

Let's check the given options:

• Option 1: TSRQ
• Option 2: TGSH
• Option 3: GHIJ
• Option 4: GSHR

Our result, TGSH, matches Option 2.

Therefore, the related letters that complete the analogy VEUF : ? are TGSH.