RR 4 is related to UQ −14 in a certain way. In the same way, II 8 is related to LH −10. To which of the given options is MO 12 related, following the same logic?

The correct option is PN −6.

Let us analyze the logical pattern connecting the given pairs of letter-number groups.

1. Letter Alphabetical Positions:
Let us write down the numerical position of each letter in the English alphabet (A = 1, B = 2, ..., Z = 26):
R = 18, U = 21, Q = 17
I = 9, L = 12, H = 8
M = 13, O = 15
P = 16, N = 14

2. Analyzing the First Pair: "RR 4" and "UQ −14"
For the first letters: R (18) to U (21) is a change of +3.
For the second letters: R (18) to Q (17) is a change of -1.
For the numbers: The initial number is 4. The relationship between the letter positions and the number can be examined:
The difference between the second letter's position and the first letter's position in the target group is Q - U = 17 - 21 = -4.
Notice that -14 is obtained by taking: 4 + 2 × (Q - U) = 4 + 2 × (17 - 21) = 4 + 2 × (-4) = 4 - 8 = -4, or more directly using letter shifts:
Let's check the relation:
First letter shift: R (18) + 3 = U (21)
Second letter shift: R (18) - 1 = Q (17)
Number logic: 4 - (18 + 0) = -14, or 4 - 18 = -14 (subtracting the positional value of the first letter 'R').

3. Verifying the Pattern with the Second Pair: "II 8" and "LH −10"
First letter shift: I (9) + 3 = L (12)
Second letter shift: I (9) - 1 = H (8)
Number logic: 8 - (position of first letter 'I') = 8 - 18? No, let's check: 8 - 18 = -10!
The subtracted value in both cases is 18 (which corresponds to R's position, or a constant value of 18).
Let's check:
Pair 1: 4 - 18 = -14
Pair 2: 8 - 18 = -10

4. Applying the Pattern to "MO 12":
First letter of MO is M (13):
First target letter: M (13) + 3 = 16, which corresponds to P.
Second letter of MO is O (15):
Second target letter: O (15) - 1 = 14, which corresponds to N.
Target number: 12 - 18 = −6.

Thus, following the exact same logic, MO 12 is related to PN −6.