Letter Cluster Pattern Reasoning

The question asks us to identify the letter-cluster pair that does not follow the same rule as the others, based on English alphabetical order. We need to find the pair that is the "odd one out". The note clarifies that the pattern isn't based on vowel/consonant counts or simple positions, suggesting a relationship based on alphabetical shifts.

Analyzing the Pairs

Let's determine the position of each letter in the English alphabet (A=1, B=2, ..., Z=26) and examine the relationship between the letters in the pairs.

Option 1: NE - RC

• N is the 14th letter.
• E is the 5th letter.
• R is the 18th letter.
• C is the 3rd letter.

Let's check the shift from the first letter of the first pair (N) to the first letter of the second pair (R):

Position of R = Position of N + 4

$18 = 14 + 4$

This shift is +4.

Now let's check the shift from the second letter of the first pair (E) to the second letter of the second pair (C):

Position of C = Position of E - 2

$3 = 5 - 2$

This shift is -2.

Option 2: ZA - DX

• Z is the 26th letter.
• A is the 1st letter.
• D is the 4th letter.
• X is the 24th letter.

Checking the shift from Z to D:

Position of D = Position of Z + 4 (wrapping around: Z -> A -> B -> C -> D)

$4 = 26 + 4 \pmod{26}$

This shift is +4.

Checking the shift from A to X:

Position of X = Position of A - 3 (wrapping around: A -> Z -> Y -> X)

$24 = 1 - 3 \pmod{26}$

This shift is -3.

Option 3: RG - VD

• R is the 18th letter.
• G is the 7th letter.
• V is the 22nd letter.
• D is the 4th letter.

Checking the shift from R to V:

Position of V = Position of R + 4

$22 = 18 + 4$

This shift is +4.

Checking the shift from G to D:

Position of D = Position of G - 3

$4 = 7 - 3$

This shift is -3.

Option 4: HU - LR

• H is the 8th letter.
• U is the 21st letter.
• L is the 12th letter.
• R is the 18th letter.

Checking the shift from H to L:

Position of L = Position of H + 4

$12 = 8 + 4$

This shift is +4.

Checking the shift from U to R:

Position of R = Position of U - 3

$18 = 21 - 3$

This shift is -3.

Identifying the Outlier

We observed a consistent pattern in options 2, 3, and 4:

• The first letter of the first cluster shifts forward by 4 positions to become the first letter of the second cluster.
• The second letter of the first cluster shifts backward by 3 positions to become the second letter of the second cluster.

Option 1 (NE - RC) follows the first part of the pattern (N -> R is +4), but not the second part. E -> C is a shift of -2, not -3.

Therefore, the letter-cluster pair NE - RC does not belong to the group.