Solving Letter Analogy: ZY:XV :: TR:?

This question is a type of letter analogy problem, common in logical reasoning and aptitude tests. The goal is to find the relationship between the letters in the first pair (ZY) and apply that same relationship to the second pair (TR) to find the missing letters.

Analyzing the First Pair: ZY :: XV

Step 1: Determine Alphabetical Positions

First, let's find the standard alphabetical positions for each letter:

• Z is the 26th letter.
• Y is the 25th letter.
• X is the 24th letter.
• V is the 22nd letter.

Step 2: Identify the Relationship

Now, let's see how the letters in ZY transform into XV. We can look at the transformation from the first letter of the first pair to the first letter of the second pair, and similarly for the second letters.

• Z to X: The position changes from 26 to 24. The difference is $24 - 26 = -2$. So, Z shifts back 2 positions to become X.
• Y to V: The position changes from 25 to 22. The difference is $22 - 25 = -3$. So, Y shifts back 3 positions to become V.

The relationship identified is: the first letter shifts back by 2 positions, and the second letter shifts back by 3 positions.

Applying the Relationship to the Second Pair: TR :: ?

Step 1: Determine Alphabetical Positions for TR

Find the alphabetical positions for the letters in the second pair:

• T is the 20th letter.
• R is the 18th letter.

Step 2: Apply the Identified Pattern

Using the relationship found from ZY :: XV (shift -2 for the first letter, shift -3 for the second letter):

• T (20) shifts back by 2: The new position is $20 - 2 = 18$. The 18th letter is R.
• R (18) shifts back by 3: The new position is $18 - 3 = 15$. The 15th letter is O.

Conclusion

By applying the same logic (first letter shifts back 2 places, second letter shifts back 3 places), the pair TR transforms into RO.

Therefore, the correct completion for the analogy TR:? is RO.

This corresponds to Option 1.