The correct answer is: Only I and II are implicit.
The statement “If you are intelligent, we are the right people for improving your performance” is an advertisement for a coaching institute. The institute is claiming that they can help intelligent students improve their performance.
Assumption I is that brilliant students prefer to join coaching classes. This assumption is implicit in the statement because the institute is targeting intelligent students with their advertisement. If brilliant students did not prefer to join coaching classes, then the institute would not be wasting their time and money advertising to them.
Assumption II is that coaching classes help the students to improve their performance. This assumption is also implicit in the statement because the institute is claiming that they can help intelligent students improve their performance. If coaching classes did not help students improve their performance, then the institute would not be able to make this claim.
Assumption III is that no other institute provides such coaching. This assumption is not implicit in the statement. The statement does not say anything about other institutes or whether they provide similar coaching. Therefore, we cannot assume that no other institute provides such coaching.
In conclusion, only assumptions I and II are implicit in the statement.