Understanding the Alphabetical Pattern

The question asks us to identify a logical relationship between groups of letters based on the English alphabet and apply it to a new set of letters. We are given two examples to figure out the pattern:

• UFNE relates to YCRB
• CZVY relates to GWZV

We need to find what KTDS relates to, using the same logic.

Analysing the First Example: UFNE → YCRB

Let's look at the position of each letter in the English alphabet (A=1, B=2, ..., Z=26):

• U is the 21^st letter. Y is the 25^th letter. The difference is $25 - 21 = +4$.
• F is the 6^th letter. C is the 3^rd letter. The difference is $3 - 6 = -3$.
• N is the 14^th letter. R is the 18^th letter. The difference is $18 - 14 = +4$.
• E is the 5^th letter. B is the 2^nd letter. The difference is $2 - 5 = -3$.

The pattern observed here is: Add 4, Subtract 3, Add 4, Subtract 3.

Verifying the Pattern with the Second Example: CZVY → GWZV

Let's check if this pattern holds true for the second pair:

• C (3^rd letter) + 4 = 7^th letter, which is G.
• Z (26^th letter) - 3 = 23^rd letter, which is W.
• V (22^nd letter) + 4 = 26^th letter, which is Z.
• Y (25^th letter) - 3 = 22^nd letter, which is V.

The pattern (+4, -3, +4, -3) is consistent across both examples.

Applying the Pattern to KTDS

Now, we apply the same '+4, -3, +4, -3' pattern to the letters in KTDS:

• K is the 11^th letter. Applying the first step: $11 + 4 = 15$. The 15^th letter is O.
• T is the 20^th letter. Applying the second step: $20 - 3 = 17$. The 17^th letter is Q.
• D is the 4^th letter. Applying the third step: $4 + 4 = 8$. The 8^th letter is H.
• S is the 19^th letter. Applying the fourth step: $19 - 3 = 16$. The 16^th letter is P.

Combining these resulting letters, we get OQHP.

Conclusion

Following the established alphabetical logic of adding 4 and subtracting 3 alternately, KTDS corresponds to OQHP.