We have four questions to answer based on the provided image: * Question 37: Find the index of the element in the rainfall array `K` which has the highest rainfall. * Question 38: Determine the output of the given Pascal code. * Question 39: Calculate the number of colors that can be used in a digital graphic with 16 bits per pixel. * Question 40: Match the graphic editing tools A, B, C, and D to their descriptions numbered 1 to 4.

Discrete MathematicsArraysAlgorithmsExponentsPascal ProgrammingBitwise OperationsCombinatorics
2025/6/29

1. Problem Description

We have four questions to answer based on the provided image:
* Question 37: Find the index of the element in the rainfall array `K` which has the highest rainfall.
* Question 38: Determine the output of the given Pascal code.
* Question 39: Calculate the number of colors that can be used in a digital graphic with 16 bits per pixel.
* Question 40: Match the graphic editing tools A, B, C, and D to their descriptions numbered 1 to
4.

2. Solution Steps

* Question 37: The array `K` (although not explicitly named as such, it's implied) contains rainfall figures for 7 days: 100mm, 90mm, 80mm, 120mm, 200mm, 115mm, 105mm. We need to find the index of the element with the highest value. The values are implicitly indexed starting from

0. * Index 0: 100mm

* Index 1: 90mm
* Index 2: 80mm
* Index 3: 120mm
* Index 4: 200mm
* Index 5: 115mm
* Index 6: 105mm
The highest value is 200mm, which is at index

4. Therefore the answer is K[4].

* Question 38: The Pascal code iterates from `m = 0` to `m = 4`. In each iteration, it writes the value of `m * 5`.
* When `m = 0`, it writes 05=00 * 5 = 0.
* When `m = 1`, it writes 15=51 * 5 = 5.
* When `m = 2`, it writes 25=102 * 5 = 10.
* When `m = 3`, it writes 35=153 * 5 = 15.
* When `m = 4`, it writes 45=204 * 5 = 20.
So, the output will be 0, 5, 10, 15,
2
0.
* Question 39: If a digital graphic has 16 bits per pixel, the number of colors that can be represented is 2162^{16}. This is because each bit can be either 0 or 1, so 16 bits can represent 2162^{16} different values, and each value represents a different color.
* Question 40: Let's analyze the tools and their descriptions:
* A (Magic Wand): Selects adjacent areas with the same color. This matches description

1. * B (Rectangle Select): Selects a rectangular area, so it can select a required area as a square. This matches description

3. * C (Move Tool): Replaces the amount of pixels from one location to another. This matches description

2. * D (Lasso Tool): Selects part of a graphic to a desired shape. This matches description

4. Therefore, the correct matching is: A-1, B-3, C-2, D-

4. However, this is not one of the choices.

The options are:
(1) A-4, B-3, C-1, D-2
(2) A-3, B-3, C-1, D-2
Let's re-evaluate tool C, it is more related to selecting a person icon rather than moving pixels. Moving pixels is not the primary function. Moving an icon is the primary function, i.e. selecting parts of the graphic to a desired shape. Thus C-

4. Re-evaluating tool A. It can be used to select adjacent regions, or using other operations it can select a square so A-

3.
Thus the solution is A-3, B-3, C-1, D-
2.

3. Final Answer

* Question 37: (2) K[4]
* Question 38: (4) 0,5,10,15,20
* Question 39: (2) 2162^{16}
* Question 40: (2) A-3, B-3, C-1, D-2

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