Square of Opposition contraries, Sub Contraries Syllogisms

Spread the love

Sub Contraries   I and O Both can be true together but not false together

Contraries   A and E Both cannot be true together but can be false together

For mediates:

A+ A= A A+ E= E

E + A= O Reverse

E+ I= O Reverse

I + A= I

I + E= O

1 If the statement ‘all students are intelligent’ is true, which of the following statements are false?

(i) No students are intelligent.

(ii) Some students are intelligent.

(iii) Some students are not intelligent.


(A) (i) and (ii)

(B) (i) and (iii)

(C) (ii) and (iii)

(D) (i) only

 

Answer B

2 Two statements I and II given below are followed by two conclusions (a) and (b). Supposing the statements are true, which of the following conclusions can logically follow ? 

Statements:

I. Some flowers are red.

II. Some flowers are blue.

Conclusions:

(a) Some flowers are neither red nor blue.

(b) Some flowers are both red and blue.


(A) Only (a) follows.

(B) Only (b) follows.

(C) Both (a) and (b) follow.

(D) Neither (a) nor (b) follows

 

Answer D

June 2010

 

Two statements I and II given below are followed by two conclusions (a) and (b). Supposing the statements are true, which of the following conclusions can logically follow?

I. Some religious people are morally good.

II. Some religious people are rational.

Conclusions:

(a) Rationally religious people are good morally.

(b) Non-rational religious persons are not morally good.


(A) Only (a) follows.

(B) Only (b) follows.

(C) Both (a) and (b) follow.

(D) Neither (a) nor (b) follows.

 

Answer D


June 2011

 

If the statement ‘some men are cruel’ is false, which of the following statements/statement are/is true ?

 (i) All men are cruel.

 (ii) No men are cruel.

 (iii) Some men are not cruel.


 (A) (i) and (iii)  

 (B) (i) and (ii)

 (C) (ii) and (iii)
 (D) (iii) only

 

Answer C

December 2011

 

If the proposition “Vegetarians are not meat eaters” is false, then which of the following inferences is correct? Choose from the codes given below:

1. “Some vegetarians are meat eaters is true.

2. “All vegetarians are meat eaters” is doubtful.

3. “Some vegetarians are not meat eaters” is true.

4. “Some vegetarians are not meat eaters” is doubtful.

Codes:

(A) 1, 2 and 3

(B) 2, 3 and 4

(C) 1, 3 and 4

(D) 1, 2 and 4

 

Answer A

 

June 2012

 

Venn diagram is a kind of diagram to

 (A) represent and assess the validity of elementary inferences of syllogistic form.

 (B) represent but not assess the validity of elementary inferences of syllogistic form.

 (C) represent and assess the truth of elementary inferences of syllogistic form.

 (D) assess but not represent the truth of elementary inferences of syllogistic form

 

Answer A प्रतिनिधित्व और syllogistic रूप के प्राथमिक निष्कर्षों की वैधता का आकलन।

 

 If the proposition “All men are not mortal” is true then which of the following inferences is correct ? Choose from the code given below :

 1. “All men are mortal” is true.

 2. “Some men are mortal” is false.

 3. “No men are mortal” is doubtful.

 4. “All men are mortal” is false.

Code :

(A) 1, 2 and 3 

(B) 2, 3 and 4

(C) 1, 3 and 4 

(D) 1 and 3

 

Answer B

click here to download pdf

error: Content is protected !! Copyright © Nav Classes by Navdeep Kaur