PT : TP : : QR : ______

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answer is A.

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Detailed Solution

While the most obvious pattern is a simple reversal (PT -> TP, so QR -> RQ), "RQ" is not one of the options. This means we must look for a different, more complex pattern that fits the given choices. The pattern here is based on the alphabetical position of the letters.

Here is the step-by-step logic:

1. Analyze the Pattern in the First Pair (PT : TP)

Let's find the position of each letter in the alphabet:
- P is the 16th letter.
- T is the 20th letter.
Now, let's look at the transformation:
- The first letter, P (16), becomes T (20). The change is 16+4=20.
- The second letter, T (20), becomes P (16). The change is 20−4=16.
So, the rule for the transformation is: (First Letter + 4), (Second Letter - 4).

2. Apply the Same Pattern to the Second Pair (QR : ?)

Let's find the position of each letter in the alphabet:
- Q is the 17th letter.
- R is the 18th letter.
Now, we apply the rule "(First Letter + 4), (Second Letter - 4)":
- For the first letter Q (17): 17+4=21. The 21st letter of the alphabet is U.
- For the second letter R (18): 18−4=14. The 14th letter of the alphabet is N.