Post Lecs - Logical Equivalence

Question 1

Which of the following propositions is considered to be the simple conversion of the given proposition “All underground economies are not paying taxes.”?

a.
Not all paying taxes are underground economies.

b.
All non-underground economies are not non-paying taxes.

c.
All paying taxes are not underground economies.

d.
All paying taxes are not underground economies.

Answer 1

The correct answers are:
All paying taxes are not underground economies.,

All paying taxes are not underground economies.

Question 2

Which of the following propositions is considered to be the partial conversion of the given proposition “All men are capable of innovation.”?

a.
All non-capable of innovation are not men.

b.
All men are non-capable of innovation.

c.
Some capable of innovation are men.

d.
All capable of innovation are men.

Answer 2

The correct answer is:
Some capable of innovation are men.

Question 3

Which of the following propositions is considered to be the obversion of the given proposition “All underground economies are not paying taxes.”?

a.
Some paying taxes are underground economies.

b.
All paying taxes are not underground economies.

c.
All underground economies are non-paying taxes.

d.
No non-underground economies are paying taxes.

Answer 3

The correct answer is:
All underground economies are non-paying taxes.

Question 4

Which of the following propositions is considered to be the complete inverse of the given proposition “Some judges are not just.”?

a.
None of the Above.

b.
All non-just are not non-judges.

c.
All non-judges are not non-just.

d.
All non-just are non-judges.

Answer 4

The correct answer is:
None of the Above.

Question 5

Which of the following propositions is considered to be the simple contraposition of the given proposition “Not every businessman is a politician.”?

a.
None of the above.

b.
All non-politicians are non-businessmen.

c.
All businessmen are not non-politicians.

d.
Some non-politicians are not non-businessmen.

Answer 5

The correct answer is:
None of the above.

Question 6

Which of the following propositions is considered to be the obversion of the given proposition “Not every businessman is a politician.”?

a.
Some non-politicians are not businessmen.

b.
Some non-businessmen are not politicians.

c.
None of the above.

d.
Some businessmen are non-politicians.

Answer 6

The correct answer is:
Some businessmen are non-politicians.

Question 7

Which of the following propositions is considered to be the simple conversion of the given proposition “No fanatic is a liberal.”?

a.
No non-liberal is fanatic.

b.
All fanatic is liberal.

c.
Some fanatics are liberals.

d.
No liberal is fanatic.

Answer 7

The correct answer is: No liberal is fanatic.

Question 8

Which of the following propositions is considered to be the complete contraposition of the given proposition “All men are capable of innovation.”?

a.
Some non-capable of innovation are non-men.

b.
All non-men are capable of innovation.

c.
Some capable of innovation are non-men.

d.
All non-capable of innovation are non-men.

Answer 8

The correct answer is:
All non-capable of innovation are non-men.

Question 9

Which of the following propositions is considered to be the obversion of the given proposition “All men are capable of innovation.”?

a.
Some men are non-capable of innovation.

b.
No men are non-capable of innovation.

c.
Some non-capable of innovation are non-men.

d.
No non-capable on innovation are non-men.

Answer 9

The correct answer is:
No men are non-capable of innovation.

Question 10

Which of the following propositions is considered to be the simple inversion of the given proposition “No fanatic is liberal.”?

a.
Some non-liberal are not non-fanatic.

b.
All non-liberal are non-fanatic.

c.
Some non-liberal are fanatic.

d.
No non-liberal are fanatic.

Answer 10

The correct answer is:
Some non-liberal are fanatic.

Question 11

Which of the following propositions is considered to be the obversion of the given proposition “Some judges are not just.”?

a.
Some judges are non-just.

b.
Some non-judges are just.

c.
All judges are non-just.

d.
Some non-judges are non-just.

Answer 11

The correct answer is:
Some judges are non-just.

Question 12

Which of the following propositions is considered to be the obversion of the given proposition “No fanatic is a liberal.”?

a.
All fanatic are not non-liberal.

b.
No fanatic are non-liberal.

c.
All non-fanatic are non-liberal.

d.
All fanatic are non-liberal.

Answer 12

The correct answer is:
All fanatic are non-liberal.

Question 13

Which of the following propositions is considered to be the complete inverse of the given proposition “All men are capable of innovation.”?

a.
Some non-men are capable of innovation.

b.
Some non-men are not non-capable of innovation.

c.
Some men are non-capable of innovation.

d.
Some non-men are non-capable of innovation.

Answer 13

The correct answer is:
Some non-men are non-capable of innovation.

Question 14

Which of the following propositions is considered to be the contraposition of the given proposition “Some judges are not just.”?

a.
Some non-just are judges.

b.
Some non-just are not non-judges.

c.
Some just are not non-judges.

d.
Some judges are non-just.

Answer 14

The correct answer is:
Some non-just are not non-judges.

Question 15

Which of the following propositions is considered to be the contraposition of the given proposition “No fanatic is liberal.”?

a.
Some liberal are not non-fanatic.

b.
No non-liberal are non-fanatic.

c.
Some non-liberal are not non-fanatic.

d.
All non-fanatic are non-liberal.

e.
No non-fanatic are liberal.

Answer 15

The correct answer is:
Some non-liberal are not non-fanatic.

Question 16

Which of the following propositions is considered to be the simple inversion of the given proposition “Not every businessman is a politician.”?

a.
None of the above.

b.
Some non-businessmen are non-politicians.

c.
Some non-politicians are not non-businessmen.

d.
Some non-businessmen-are not not non-politicians.

Answer 16

The correct answer is:
None of the above.

Question 17

Which of the following propositions is considered to be the conversion of the given proposition “Not every businessman is a politician.”?

a.
All politicians are businessmen.

b.
None of the Above

c.
Some businessmen are non-politicians.

d.
No businessman is a politician.

Answer 17

The correct answer is: None of the Above

Question 18

Which of the following propositions is considered to be the complete contraposition of the given proposition “All underground economies are not paying taxes.”?

a.
All non-paying taxes are not non-underground economies.

b.
No paying taxes are not non-underground economies.

c.
Some non-paying taxes are not non-underground economies.

d.
All non-paying taxes are underground economies.

Answer 18

The correct answer is:
Some non-paying taxes are not non-underground economies.

Question 19

Which of the following propositions is considered to be the complete inversion of the given proposition “All underground economies are not paying taxes.”?

a.
All non-underground economies are non-paying taxes.

b.
Some non-underground economies are non-paying taxes.

c.
Some underground economies are not non-paying taxes.

d.
Some non-underground economies are not paying taxes.

Answer 19

The correct answer is: Some non-underground economies are non-paying taxes.

Question 20

Which of the following propositions is considered to be the simple conversion of the given proposition “Some judges are not just.”?

a.
None of the Above

b.
Some just are not judges.

c.
Some non-just are not judges.

d.
Some non-judges are not non-just.

Answer 20

The correct answer is:
None of the Above