Correct Answer: ENGAGE

Solution : Given:
MANAGEMENT

Now, let's compare all the option words with the word MANAGEMENT –
First option: MAGNET; All the letters of MAGNET are present in the word MANAGEMENT.
Second option: GAMET; All the letters of GAMET are present in the word MANAGEMENT.
Third option: ENGAGE; Two G are present in the word ENGAGE . But only one G is present in the word MANAGEMENT. Therefore, all the letters of ENGAGE are not present in the word MANAGEMENT .
Fourth option: MANAGE; All the letters of MANAGE are present in the word MANAGEMENT.

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