# Blog

# Mathematical Reasoning

- Saturday October 22nd, 2016
- Posted by: Gia Sư Quốc Tế
- Category: Uncategorized

1. **Which of the following is an open sentence?**

2. **“It has two pairs of opposite sides parallel.” Which of the following make this open sentence true?**

3. **In a class of 50 students, 18 take music, 26 take art, and 2 take both art and music. How many students in the class are not enrolled in either music or art?**

4. **When y = 3, which of the following is FALSE?**

5. **If Shelly does not like John, what is the truth value of the statement “Shelly likes Mike and she likes John.”?**

6. **“If Deb and Sam go to the mall, then it is snowing.” Which statement below is logically equivalent?**

7. **Which is logically equivalent to “If today is Sunday, Matt cannot play hockey.”?**

8. **The sentence “____ if and only if x + x = 3x” is TRUE. Which of the following could be used to fill in the blank?**

9. **Which of the following integers makes this open sentence true?**

10. **The statement “x>5 or x<3” is true if x equals?**

11. **Mary says “The number I am thinking is divisible by 2 or it is divisible by 3”. This statement is false if the number Mary is thinking of is _______________.**

12. **The statement “If x is divisible by 8, then it is divisible by 6” is false if x equals?**

13. **If Susan does not like spinach, what is the truth value of the statement “Susan likes ice cream and she like spinach.”?**

14. **Which statement is logically equivalent to “If Yoda cannot use a lightsaber, then he cannot help Luke win the battle.”**

15. **Which statement represents the inverse of the statement “If it is snowing, then Skeeter wears a sweater.”?**

16. **Which of the following is the converse of the statement: “If x>4, then x+2>5”?**

17. **The inverse of the converse of a conditional statement is the _______________.**

18. **What is true about the statement “If two angles are right angles, the angles have equal measure” and its converse “If two angles have equal measure then the two angles are right angles”?**

19. **What is the truth value of “4 is even and 8 is odd.”?**

20. **“If Tom buys a red skateboard, then Amanda buys green in-line skates.” Which statement below is logically equivalent?**