Depends on the questions, and how they are answered. T/F, multiple choice, matching, essay, etc. Could be randomly answering, making educated guesses, or applying some amount of knowledge on the subject. Each of these impacts the probability of supplying correct answers.
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65/100
Assuming every question has the same score, then: if 126 questions correct score 176, each question scores 176/126 points With 0 correct this gives a score of 0 × 176/126 points With 63 correct this gives a score of 63 × 176/126 = 88 (as given). To score at least 100: number of questions × 176/126 ≥ 100 → number of questions ≥ 100 × 126/176 = 71 13/22 Assuming you cannot answer part of a question to get the mark, you must answer at least 72 questions to get a score of 72 × 176/126 = 100 4/7 If you were to get only 71 questions right you would score 71 × 176/126 = 99 11/63 which is less than 100. You need to get 72 questions right to get a score of at least 100.
You'd be 100% right.
25/32 X 100 = 78% ( this, of course, is a raw percent. Your teacher may have his/her own ideas about grading )
Probability of each question correct is 1/4 or 0.25. Since there are 5 questions, raise 0.25 to the 5th power or (0.25)5. So, probability all correct is 0.0009765.