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How much time should be allocated for 10 mathematics questions if each should have a double allocation compared to non-mathematics questions, with a total examination time of 120 minutes?

60 minutes

To understand how much time should be allocated for the mathematics questions, consider the total examination time of 120 minutes and the requirement that each mathematics question receives double the time compared to non-mathematics questions.

If we denote the time allocated to each non-mathematics question as \(x\), then each mathematics question would receive \(2x\). Since there are 10 mathematics questions, the total time spent on mathematics questions would be \(10 \times 2x = 20x\).

The total number of non-mathematics questions will depend on how many questions are remaining after the 10 mathematics questions are considered. Let’s assume that there are a total of \(n\) questions on the exam (including both mathematics and non-mathematics questions). The number of non-mathematics questions is then \(n - 10\), which will also require \(x\) minutes each. Thus, the total time for non-mathematics questions would be \((n - 10) \times x\).

Now, if we add the time allocated for both types of questions together, we have:

\[

20x + (n - 10)x = 120 \text{ minutes

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