In a certain code language, ‘FUTURE’ is written as ‘IXWXUH’ and ‘ISLAND’ is written as ‘LVODQG’. How will ‘JERSEY’ be written in that language?

Correct — C. Both given codes are one constant shift, so find the shift and apply it.

Rule: every letter moves +3 along the alphabet, wrapping past Z.

F to I, U to X, T to W, U to X, R to U, E to H gives IXWXUH for FUTURE.
I to L, S to V, L to O, A to D, N to Q, D to G gives LVODQG for ISLAND.

Now JERSEY: J to M, E to H, R to U, S to V, E to H, and Y wraps to B.
That spells MHUVHB — option (c).

Why the others are wrong

• (a)
  KHTUHA — Opens with K, which is J + 1, not J + 3. Its shifts are a mixture of +1, +2 and +3, and the two worked examples show one constant step throughout.
• (b)
  MHTVGB — The first two letters are right, then T appears where R + 3 = U, and G where E + 3 = H. Two letters short of a clean +3.
• (d)
  KGTVGA — Built mostly on +1 and +2 shifts — J+1=K, E+2=G, R+2=T. Only its fourth letter, V, happens to agree with S + 3.

A letter-shift code changes every letter by the same amount, so the whole cipher is a single number. Get that number from one reliable pair instead of trying to see the word.

F is the 6th letter and I the 9th, so the step is +3. Confirm it on a second pair before you commit — ISLAND to LVODQG agrees.

The wrap is where marks are lost. The alphabet behaves as a ring, so Y is 25, and 25 + 3 = 28, which is 28 − 26 = 2 = B.

Key facts

• FUTURE to IXWXUH and ISLAND to LVODQG are both a uniform +3 shift, so the rule is confirmed twice before use.
• Past Z a +3 shift wraps: X becomes A, Y becomes B, Z becomes C.
• JERSEY under +3 is M H U V H B.

Common traps

• Losing the wrap at the end of the alphabet and writing Y + 3 as an impossible letter
• Deriving the step from a single letter when a second example is supplied to confirm it
• Scanning the options for a word-like string instead of coding all six letters

No directly related past PYQ was found.