Choose the correct spelling from the options given.

Correct spelling in English follows the standardized form recorded in dictionaries. Many spelling errors come from three predictable slips: dropping a letter from a vowel pair, doubling a vowel that should not be doubled, or transposing (swapping the order of) two adjacent vowels — this item tests exactly those three slip types against one target word.

The target word is spelled a-c-h-i-e-v-e: after 'ach', the middle vowels appear in the order 'i' then 'e' (the digraph 'ie'), followed by a single 'e' before the closing 've'. Reading the correctly spelled option letter by letter confirms this exact sequence, with no dropped, doubled, or transposed vowel.

• achive — drops the 'i' entirely, collapsing the two-letter vowel pair 'ie' into a single 'e', which shortens the word by one letter.

• acheeve — replaces the vowel pair 'ie' with a doubled 'e' ('ee'), a combination this word's standard spelling does not contain.

• acheive — keeps both letters of the vowel pair but swaps their order to 'ei' instead of the correct 'ie'.

Because 'achieve' reproduces this letter sequence exactly — the vowel pair in the correct order, followed by a single 'e' before 've' — with no dropped, doubled, or reordered vowel, 'achieve' is the correctly spelled word among the four options.