Mapa Institute of Technology - GED 102

Modular Examination GED102

1)This is the branch of Mathematics that deals with the different designs in socio- cultural groups.

Graph Theory Fractal Theory

ethnomathem atics

 

Chaos Theory

 

 

 

2. Consider the following conditional statement: You can visit another city in Metro Manila only if you have a quarantine pass.

 

What is the converse of the statement?

If you have a quarantine pass, then you can visit another city in Metro Manila.

 

If you can visit another city in Metro Manila, then you have a quarantine pass.

 

If you cannot visit another city in Metro Manila, then you don’t have a quarantine pass.

 

If you do not have a quarantine pass, then you cannot visit another city in Metro Manila.

 

 

 

 

 

 

 

3.     Consider the following conditional statement: You can visit another city in Metro Manila only if you have a quarantine pass.

 

What is the contrapositive of the statement?

If you have a quarantine pass, then you can visit another city in Metro Manila.

 

If you can visit another city in Metro Manila, then you have a quarantine pass.

 

If you cannot visit another city in Metro Manila, then you don’t have a quarantine pass.

 

If you do not have a quarantine pass, then you cannot visit another city in Metro Manila.

 

 

 

4. “All COVID-19 Patients have high fever”. This is an example of

 

 

5. In the figure shown above. The perimeter of the outer regular pentagon (green) is 20 inches. If segment a makes a Golden Ratio with segment b and segment b makes a golden ratio with segment c.

 

Find the Length of the segment MD.

 

[Use the approximation of Φ at 3 decimal places]

 

7.64 inches

 

8.944 inches

 

6.472 Inches

 

2.472 Inches

 

 

 

 

 

 

 

 

6. In the language of mathematics, if we say “x is equal to 5” today, it will still be “x is equal to 5” even years after, we do not say “x was equal to 5”. The mathematical verb “=” will always be read “is equal to” regarding characteristics of the mathematical language?
7. This refers to the unique characteristics of the mathematical language being clear, exact and accurate in expressing information.
8. Which of the following pairs of statements are logically equivalent?
   1. Statement 1: it is not true that either I watch ‘crashlanding on you’ or you watched ‘Money Heist’.

Statement 2: I did not watch ‘crashlanding on you’ and you watch ‘Money heist’.

1. 2. Statement 1: Joe tells you that he is an engineer and he studied in Mapua. Statement 2: If Joe is lying then Joe is not an engineer or he did not study in Mapua.

 

I and II II only

I only

 

Neither I nor II

 

 

 

 

 

 

 

 

 

 

 

 

9. Which of the following pairs of statements are logically equivalent?
   1. Statement 1: It is not true that both you have pneumonia and I got flu. Statement 2: Either you have no pneumonia or I have no flu.
   2. Statement 1: it is not true that either I watch ‘crashlanding on you’ or you watched ‘Money Heist’.

Statement 2: I did not watch ‘crashlanding on you’ and you watch ‘Money heist’.

Neither I nor II

 

I only II only I and II

 

 

 

 

 

 

 

 

 

 

 

 

10. Under which conditions is the following compound statement “FALSE”?

 

 

 

 

 

      P is true, q is true, r is true

     P is false, q is true, r is true

     p is true, q is true, r is false

 

 

      p is false, q is false, r is true.

 

 

11. Which of the following is a mathematical verb?

 

12. In the mathematical statement “25 ?        12       ≥ 10”, which is verb?

• 10
• ?
• 12
• ≥

13. Which of the following statement has a truth value of “true”?