Square-of-opposition

Question 1
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.
A
(a) and (c)
B
(a) and (d)
C
(b) and (c)
D
(a) and (b)
Question 1 Explanation: 
Statements (b) and (c) are true and option ‘a’ have no relation with the other statements and option is ‘d’ is relating to each and every honest person. There is a combination between b & d and c & d.
Question 2
Among the following, two statements are related in such a way that if one becomes undetermined, the other will also be undetermined. Select the code that refers to these two statements.
Statements:
(i) Every fruit is nutritious.
(ii) Fruits are hardly nutritious.
(iii) Fruits are mostly nutritious.
(iv) Some food items are nutritious.
A
(i) and (ii)
B
(ii) and (iii)
C
(iii) and (iv)
D
(i) and (iv)
Question 2 Explanation: 
If statement (i) is undetermined the other will also be undetermined.
Question 3
Among the following propositions two arc 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.
A
(a) and (b)
B
(c) and (d)
C
(a) and (c)
D
(a) and (d)
Question 3 Explanation: 
Some priests are cunning and some are not cunning, these two statements are correct. Ans:- Option D
Question 4
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?
A
All men are honest
B
Some men are honest
C
Some men are not honest
D
No honest person is man
Question 5
If the proposition ‘All thieves are poor’ is false, which of the following propositions can be claimed certainly to be true?
A
Some thieves are poor.
B
Some thieves are not poor.
C
No thief is poor
D
No poor person is a thief.
Question 5 Explanation: 
From the statement the suitable proposition is option ‘B’.
→ Some thieves are not poor which is correct.
Question 6
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
A
(a) and (b)
B
(a) and (d)
C
(c) and (d)
D
(a) and (c)
Question 7
Among the following statements two are contradictory to each other. Select the correct code that represents them:
Statements:
(a) All poets are philosophers.
(b) Some poets are philosophers.
(c) Some poets are not philosophers.
(d) No philosopher is a poet.
A
(b) and (c)
B
(a) and (b)
C
(a) and (d)
D
(a) and (c)
Question 7 Explanation: 
Statements (a) and (c) are contradictories which those statements gives the proper meaning for the contradictory.
There are 7 questions to complete.

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