Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.

HEROES : LBVLBW :: INVEST : FRZBWX :: KIDNAP : ?

To find the missing letter-cluster, let us analyze the pattern of relationship between the first and second letter-clusters, as well as the third and fourth letter-clusters.

Let us write down the alphabetical positions of the letters (where A = 1, B = 2, ..., Z = 26):

First Pair: HEROES : LBVLBW
• H (Consonant, position 8) ⇒ 8 + 4 = 12 (L)
• E (Vowel, position 5) ⇒ 5 - 3 = 2 (B)
• R (Consonant, position 18) ⇒ 18 + 4 = 22 (V)
• O (Vowel, position 15) ⇒ 15 - 3 = 12 (L)
• E (Vowel, position 5) ⇒ 5 - 3 = 2 (B)
• S (Consonant, position 19) ⇒ 19 + 4 = 23 (W)
This gives the pattern: Consonants are shifted forward by 4 (+4) and Vowels are shifted backward by 3 (-3).

Second Pair: INVEST : FRZBWX
Let us verify the pattern with the second pair:
• I (Vowel, position 9) ⇒ 9 - 3 = 6 (F)
• N (Consonant, position 14) ⇒ 14 + 4 = 18 (R)
• V (Consonant, position 22) ⇒ 22 + 4 = 26 (Z)
• E (Vowel, position 5) ⇒ 5 - 3 = 2 (B)
• S (Consonant, position 19) ⇒ 19 + 4 = 23 (W)
• T (Consonant, position 20) ⇒ 20 + 4 = 24 (X)
The pattern is verified.

Applying the pattern to KIDNAP:
• K (Consonant, position 11) ⇒ 11 + 4 = 15 (O)
• I (Vowel, position 9) ⇒ 9 - 3 = 6 (F)
• D (Consonant, position 4) ⇒ 4 + 4 = 8 (H)
• N (Consonant, position 14) ⇒ 14 + 4 = 18 (R)
• A (Vowel, position 1) ⇒ 1 - 3 = -2 ≡ 24 (X)
• P (Consonant, position 16) ⇒ 16 + 4 = 20 (T)

Therefore, KIDNAP is related to OFHRXT.