9. Grade/Mathematics/Quiz 1

1.      How many of the followings are not propositions?

I. Özgün supports Beşiktaş.

II. Why did not you study?
III. Every number is not divisible by 3
V. Tell the truth!
V. 18 – 6 : 3 = 4

• 1

• 2

• 3

• 4

• 5

Simplify the following compund proposition.

(1' ⊻ 0')' ⟺ (0' ⟹0) ≡ ?

• 0

• 1'

• 0'

• 0' ⟹0

• 0 ⟺ 1

Which of the following is a tautology?

• (p′ Ʌ q′) ⇒ (p v q′)

• p v 0

• (p′ Ʌ q) ⇔ (p v q′)

• p′ ⇒ (q ⇒ p)

• [p Ʌ (q V r)] ⇒ p′

According to given table, find the value of following:  $a+2b+3c+4d$  

• 3

• 4

• 5

• 6

• 7

Which one is the negation of

(∃ x ∈ Z, x + 2 > 0) ⇒ (∀ x ∈ R, 3x – 6 ≤ 0) ?

• 
• 
• 
• 
• 

If the converse of (p′ Ʌ r) ⇒q is false, then find the truth values of following propositions:

I. (p Ʌ q′) ⇒ (p v r)

II. (p ⇔ q′) ⇔ r

III. (p ⇒ q) v (r′ Ʌ p)′

• 0 - 0 -0

• 0 - 0 - 1

• 1 - 0 - 1

• 1 - 1 - 0

• 1 - 1 - 1

Which one is the contrapositive form of (p′ʌ q) ⇒ r′?

• r ⇒ (q ⇒ p)

• r ⇒ (p ⇒ q)

• r′ ⇒ (p′ Ʌ q)

• r′ ⇒ (p v q′)

• r′ ⇒ (p Ʌ q)