Mathematical Logic

Mathematical Logic

12th Grade

10 Qs

quiz-placeholder

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Mathematical Logic

Mathematical Logic

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSS.CP.A.1, HSA.REI.B.3, HSA.CED.A.1

+5

Standards-aligned

Created by

Archana Chattar

Used 296+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If  p q p\wedge\ q\   is false and  pqp\vee q  is true , then which of the following is not True.

 pqp\vee q  

 pqp\leftrightarrow q  

 pq\sim p\vee\sim q  

 qpq\vee\sim p  

Tags

CCSS.HSS.CP.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 (pq)r \left(p\wedge q\right)\rightarrow r\   is logically equivalent to 

 p(qr)p\rightarrow\left(q\rightarrow r\right)  

 (pq)r\left(p\wedge q\right)\rightarrow\sim r  

 (pq)r\left(\sim p\vee\sim q\right)\rightarrow\sim r  

 (pq)r\left(p\vee q\right)\rightarrow r  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Ifis F ,  p\rightarrow q\    is F then the truth values of p and q are

T,T

T,F

F,T

F,F

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The negation of inverse of pq \sim p\rightarrow q\   is 

 qpq\wedge p  

 pq\sim p\wedge\sim q  

 pqp\wedge q  

 qp\sim q\rightarrow\sim p  

Tags

CCSS.HSS.CP.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The negation of p(qr)p\wedge\left(q\rightarrow r\right) is 

 p(qr)\sim p\wedge\left(\sim q\rightarrow\sim r\right)  

 p(qr)p\vee\left(\sim q\vee r\right)  

 p(qr)\sim p\wedge\left(\sim q\rightarrow\sim r\right)  

 p(qr)\sim p\vee\left(\sim q\wedge\sim r\right)  

Tags

CCSS.HSS.CP.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If A= {1,2,3,4,5} then which of the following is not True?

xA\exists\ x\in A such that x+3 = 8

xA \exists\ x\in A\ such that x+2 <9

xA\forall\ x\in A , x+6 \ge 9

xA \exists\ x\in A\ such that x+6<10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Examine  (pq)(pq)\left(p\wedge q\right)\wedge\left(\sim p\vee\sim q\right)  

Tautology

Contradiction

Contingency

None of these

Tags

CCSS.HSS.CP.A.1

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