Step 1: Understanding the Concept:
This is an analogy problem involving groups of letters. We need to find the relationship between the first pair of letter groups (AEF and BIJ) and apply the same relationship to the second pair to find the missing term.
Step 2: Key Formula or Approach:
The best approach is to convert the letters to their numerical positions in the alphabet (A=1, B=2, C=3, ...) and then look for an arithmetic pattern between the corresponding letters in the two groups.
Step 3: Detailed Explanation:
Let's analyze the first pair: AEF : BIJ.
First, convert the letters to their positions:
- A = 1, E = 5, F = 6
- B = 2, I = 9, J = 10
Now, let's find the pattern by comparing the positions of corresponding letters:
- 1st letter: A(1) \(\to\) B(2). The pattern is +1.
- 2nd letter: E(5) \(\to\) I(9). The pattern is +4.
- 3rd letter: F(6) \(\to\) J(10). The pattern is +4.
The relationship from the first group to the second is: (1st letter + 1), (2nd letter + 4), (3rd letter + 4).
Now let's apply this logic to the second pair: ___ : OUV.
Let the missing group be XYZ. The relationship is XYZ \(\to\) OUV.
The positions for OUV are:
- O = 15, U = 21, V = 22
We need to apply the pattern in reverse (i.e., subtract the numbers) to find XYZ.
- 1st letter: X + 1 = O(15) \(\implies\) X = 15 - 1 = 14. The 14th letter is N.
- 2nd letter: Y + 4 = U(21) \(\implies\) Y = 21 - 4 = 17. The 17th letter is Q.
- 3rd letter: Z + 4 = V(22) \(\implies\) Z = 22 - 4 = 18. The 18th letter is R.
So, the missing group of letters is NQR.
Step 4: Final Answer:
The missing group is NQR, which corresponds to option (D).