Which of the following letter clusters should replace # and % so that the pattern and relationship followed between the letter cluster pair on the left side of :: is the same as that on the right side of ::?

# : DHJ :: BFH : %

Given: # : DHJ :: BFH : %

Logic: Replace the # and % with the letter clusters given in the options and verify the pattern followed between them.

Let's check the options:

Option (a): # = KNP, % = VZB
KNP : DHJ :: BFH : VZB

KNP$$\rightarrow$$K - 7 = D, N - 6 = H, P - 6 = J; BFH$$\rightarrow$$B - 6 = V; F - 6 = Z; H - 6 = B (Both pairs follow the different patterns.)

Option (b): # = JNP, % = WZB

JNP : DHJ :: BFH : WZB

JNP$$\rightarrow$$​J - 6 = D, N - 6 = H, P - 6 = J; BFH$$\rightarrow$$B - 5 = W, F - 6 = Z, H - 6 = B (Both pairs follow the different patterns.)​

Option (c): # = JNP, % = VZO

JNP : DHJ :: BFH : VZO

JNP$$\rightarrow$$J - 6 = D, N - 6 = H, P - 6 = J; BFH$$\rightarrow$$B - 6 = V; F - 6 = Z; H + 7 = O (Both pairs follow the different patterns.)​

Option (d): # = JNP, % = VZB​​

JNP : DHJ :: BFH : VZB

JNP$$\rightarrow$$J - 6 = D, N - 6 = H, P - 6 = J; BFH$$\rightarrow$$​B - 6 = V; F - 6 = Z; H - 6 = B (Both pairs follow the same pattern.)

So, the correct answer is (d).