MCQ on Syllogisms & Square of Opposition
December 2012
By which of the following proposition, the proposition ‘some men are not honest’ is contradicted?
(A) All men are honest.
(C) No men are honest.
(D) All of the above.
Answer A
If the statement ‘most of the students are obedient’ is taken to be true, which one of the following pair of statements can be claimed to be true?
I. All obedient persons are students.
II. All students are obedient.
III. Some students are obedient.
IV. Some students are not disobedient.
Codes :
(A) I & II
(B) II & III
(C) III & IV
(D) II & IV
Answer C
June 2013
1. Which of the codes given below contains only the correct statements?
Statements:
(i) Venn diagram is a clear method of notation.
(ii) Venn diagram is the most direct method of testing the validity of categorical syllogisms.
(iii) In Venn diagram method the premises and the conclusion of a categorical syllogism is diagrammed.
(iv) In Venn diagram method the three overlapping circles are drawn for testing a categorical syllogism.
Codes:
(A) (i), (ii) & (iii)
(B) (i), (ii) & (iv)
(C) (ii), (iii) & (iv)
(D) (i), (iii) & (iv)
Answer B
2. If the statement ‘some men are honest’ is false, which among the following statements will be true. Choose the correct code given below:
(i) All men are honest
(ii) No men are honest
(iii) Some men are not honest.
(iv) All men are dishonest.
Codes:
(A) (i), (ii) and (iii)
(B) (ii), (iii) and (iv)
(C) (i), (iii) and (iv)
Answer B
September 2013
1. If two propositions cannot both be false but may both be true, what is the relation between the two propositions?
(A) Contrary
(B) Sub-contrary
(C) Sub-alternation
(D) Contradictory
Answer B
2. What is equivalent of the statement ‘All atheists are pessimists’ ?
(A) All non-pessimists are non atheists.
(B) All non-atheists are nonpessimists.
(C) All pessimists are atheists.
(D) None of the above.
Answer A
December 2013
1. Given below are two premises. Four conclusions are drawn from those two premises in four codes. Select the code that states the conclusion validly drawn.
Premises:
(i) All saints are religious. (major)
(ii) Some honest persons are saints. (minor)
Codes
(A) All saints are honest
(B) Some saints are honest.
(D) All religious persons are honest
Answer C
June 2014
1. If two propositions having the same subject and predicate terms can both be true but cannot both be false, the relation between those two propositions is called
(A) contradictory
(B) contrary
(C) subcontrary
(D) subaltern
Answer C
2. Given below are two premises and four conclusions drawn from those premises. Select the code that expresses conclusion drawn validly from the premises (separately or jointly).
Premises:
(a) All dogs are mammals.
(b) No cats are dogs.
Conclusions:
(i) No cats are mammals
(ii) Some cats are mammals.
(iii) No Dogs are cats
(iv) No dogs are non-mammals.
Codes:
(A) (i) only
(B) (i) and (ii)
(C) (iii) and (iv)
(D) (ii) and (iii)
Answer C
3. Given below is a diagram of three circles A, B & C inter-related with each of Indians. The circle B represents the class of scientists and circle C represents the class of politicians. p,q,r,s… represent different regions. Select the code containing the region that indicates the class of Indian scientists who are not politicians.
(A) q and s only
(B) s only
(C) s and r only
(D) p, q and s only
Answer S
December 2014
- Given below is a diagram of three circles A, B and C over-lapping each other? The circle A represents the class of honest people, the circle B represent the class of sincere people and circle C represents the class of politicians. p, q, r, s, U, X, Y represent different regions. Select the code that represents the region indicating the class of honest politicians who are not sincere.
(A) X
(B) q
(C) p
(D) s
Answer D
- By which of the following proposition, the proposition “wise men are hardly afraid of death” is contradicted?
(A) Some wise men are afraid of death.
(B) All wise men are afraid of death.
(C) No wise men is afraid of death.
(D) Some wise men are not afraid of death.
Answer B
- Namita and Samita are brilliant and studious. Anita and karabi are obedient and irregular. Babita and Namita are irregular but brilliant. Samita and Kabita are regular and obedient. Who among them is/are brilliant, obedient, regular and studious?
(A) Samita alone
(B) Namita and Samita
(C) Kabita alone
(D) Anita alone
Answer A
June 2015
- Among the following statements two are contradictory to each other. Select the correct code that represents them
(a) All poets are philosophers
(b) Some poets are philosophers
(c) Some poets are not philosophers
(d) No philosopher is a poet
(A) (a) and (b)
(B) (a) and (d)
(C) (a) and (c)
(D) (b) and (b)
Answer C
- Which of the codes given below contains only the correct statements
(a) Venn diagram represents the arguments graphically
(b) Venn diagram can enhance our understanding
(c) Venn diagram may be called valid or invalid
(d) Venn diagram is clear method of notation
(A) (a), (b) and (c)
(B) (a), (b) and (d)
(C) (b), (c) and (d)
(D) (a), (c) and (d)
Answer B
December 2015
- Among the following propositions two are related in such a way that they can both be true although they cannot both be false. Which are those propositions? Select the correct code.
Propositions:
(a) Some priests are cunning.
(b) No priest is cunning.
(c) All priests are cunning.
(d) Some priests are not cunning.
Codes:
(A) (a) and (b)
(B) (c) and (d)
(C) (a) and (c)
(D) (a) and (d)
Answer D
- If the proposition ‘No men are honest’ is taken to be false which of the following proposition/propositions can be claimed certainly to be true?
Propositions:
(A) All men are honest
(B) Some men are honest
(C) Some men are not honest
(D) No honest person is man
Answer B
July 2016
- Among the following propositions two are related in such a way that one is the denial of the other. Which are those propositions? Select the correct code:
Propositions:
(a) All women are equal to men
(b) Some women are equal to men
(c) Some women are not equal to men
(d) No women are equal to men
Codes:
(A) (a) and (b)
(B) (a) and (d)
(C) (c) and (d)
(D) (a) and (c)
Answer D
- Given below two premise and four conclusions are drawn from them (taking singly or together). Select the code that states the conclusions validly drawn.
Premises:
(i) All religious persons are emotional.
(ii) Ram is a religious person.
Conclusions:
(a) Ram is emotional.
(b) All emotional persons are religious.
(c) Ram is not a non-religious person.
(d) Some religious persons are not emotional.
Codes:
(A) (a), (b), (c) and (d)
(B) (a) only
(B) (a) and (c) only
(D) (b) and (c) only
Answer C
- If the proposition ‘All thieves are poor’ is false, which of the following propositions can be claimed certainly to be true?
Propositions:
(A) Some thieves are poor.
(B) Some thieves are not poor.
(C) No thief is poor.
(D) No poor person is a thief.
Answer B
- Select the code, which is not correct about Venn diagram:
(A) Venn diagram represents propositions as well as classes.
(B) It can provide clear method of notation.
(C) It can be either valid or invalid.
(D) It can provide the direct method of testing the validity.
Answer C
August 2016
- If two propositions are connected in such a way that they cannot both be false although they may both be true, then their relationship is called
(A) Contrary
(B) Subcontrary
(C) Contradictory
(D) Subalternation
Answer B
- Given below are two premises, with four conclusions drawn from them (taking singly or together); which conclusions are validly drawn? Select the correct answer from the codes given below:
Premises:
(i) All bats are mammals.
(ii) Birds are not bats.
Conclusions:
(a) Birds are not mammals.
(b) Bats are not birds.
(c) All mammals are bats.
(d) Some mammals are bats.
Codes:
(A) (a), (b) and (d)
(B) (b) and (d)
(C) (a) and (c)
(D) (b), (c) and (d)
Answer B
Jan 2017
1 Given below are two premised (a) and (b). from those two premises four conclusions i, ii, iii, iv are drawn. Select the code that states the conclusions validly drawn from the premises (taking singly or jointly)
Premises:
- Untouchability is a curse
- All hot pans are untouchable
Conclusions:
- All hot pans are curse
- some untouchable things are hot pans
- All curses are untouchability
- Some curses are untouchability
Answer Codes:
- (i) and (ii)
- (ii) and (iii)
- (iii) and (iv)
- (ii) and (iv)
Answer A
2 If the statement ‘None but the brave wins the race’ is false, which of the following statements can be claimed to be true?
- All brave persons win the race
- Some persons who win the race are not brave
- Some persons who win the race are brave
- No person who wins the race is brave
Answer B
3 If two standard form categorical propositions with the same subject and predicate are related in such a manner that if one is undetermined the other must be undetermined, what is thhttps://www.instagram.com/navclasses/eir relation?
- Contrary
- Subcontrary
- Contradictory
- Sub-altern
Answer 4
4 Among the following propositions two are related in such a way that they cannot both be true but can be false. Select the code states those two propositions
Propositions:
- Every student is attentive (A)
- Some students are attentive (I)
- Students are never attentive (E)
- Some students are not attentive (O)
codes:
- (a) and (b)
- (a) and (c)
- (b) and (c)
- (c) and (d)
Answer 2
Nov 2017
Given below are four statements. Among them, two are related in such a way that they can both be true but they cannot both be false. Select the code that indicates those two statements:
Statements: (a) Honest people never suffer.
(b) Almost all honest people do suffer.
(c) Honest people hardly suffer.
(d) Each and every honest person suffers.
Code:
(1) (a) and (c)
(2) (a) and (d)
(3) (b) and (c)
(4) (a) and (b)
3 Sub contrary b and c means I and O
Given below are two premises (a and b), from those two premises four conclusions (i), (ii), (iii) and (iv) are drawn.
Select the code that states the conclusion/conclusions drawn validity (taking the premises singularly or jointly).
Premises:
(a) All bats are mammals
(b) No birds are bats
Conclusion:
(i) No birds are mammals
(ii) Some birds are not mammals
(iii) No bats are birds
(iv) All mammals are bats
2 iii only