Correct Answer: took over

Solution : The correct choice is the fourth option.

Took over means to assume control of something. This helps in conveying the intended meaning that Mohan assumed control of the Centre for Life Skills from Mustafa.

The meanings of the other options are as follows:

• Took out means to remove something or extract it, which is not appropriate in this context.
• Took through means to tell someone how something happens or is done by explaining the details of each step.
• Took off means to become successful or popular quickly, but it doesn't convey the idea of assuming responsibility as in the given sentence.

Therefore, the complete sentence is, "Mohan took over the charge of the Centre for Life Skills from Mustafa".