Correct Answer: RAPID

Solution : Given:
RAPPROCHEMENT

Now, let's compare all the option words with the word RAPPROCHEMENT –
First option: MACHETE; All the letters of MACHETE are present in the word RAPPROCHEMENT.
Second option: POACH; All the letters of POACH are present in the word RAPPROCHEMENT.
Third option: RAPID; I and D are not present in the word RAPPROCHEMENT. Therefore, all the letters of RAPID are not present in the word RAPPROCHEMENT.
Fourth option: TEAM; All the letters of TEAM are present in the word RAPPROCHEMENT.

So, from the above, only RAPID cannot be formed from the word RAPPROCHEMENT. Hence, the third option is correct.