The problem presents three separate questions: Question 25 asks about control structures in a flowchart. Question 26 asks about the output returned by a given pseudo code, but the pseudo code itself is missing from the image. Question 27 asks to evaluate three logical statements A, B, and C.

Discrete MathematicsLogicBoolean AlgebraLogical OperatorsTruth Tables
2025/3/17

1. Problem Description

The problem presents three separate questions:
Question 25 asks about control structures in a flowchart.
Question 26 asks about the output returned by a given pseudo code, but the pseudo code itself is missing from the image.
Question 27 asks to evaluate three logical statements A, B, and C.

2. Solution Steps

Question 25:
Flowcharts can represent sequence, selection (e.g., if-then-else), and repetition (e.g., loops). Therefore, the correct answer is the one indicating all three characteristics.
Question 27:
A: (29>14) AND (15>23)(29 > 14) \text{ AND } (15 > 23)
29>1429 > 14 is TRUE.
15>2315 > 23 is FALSE.
TRUE AND FALSE is FALSE.
Therefore, A is FALSE.
B: (19>15) OR (15>20)(19 > 15) \text{ OR } (15 > 20)
19>1519 > 15 is TRUE.
15>2015 > 20 is FALSE.
TRUE OR FALSE is TRUE.
Therefore, B is TRUE.
C: NOT (29>24)\text{NOT } (29 > 24)
29>2429 > 24 is TRUE.
NOT TRUE is FALSE.
Therefore, C is FALSE.

3. Final Answer

Question 25:

4. It has all the three characteristics of sequence, selection, and repetition.

Question 27:
A is FALSE, B is TRUE, C is FALSE.

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