Square-of-opposition

Question 1

Which of the following is converse of ‘Some S is P’?

A
Some S is not P
B
Some P is not S
C
Some P is S
D
No P is S
Question 1 Explanation: 
Question 2
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
Question 2 Explanation: 
Question 3
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 3 Explanation: 
If statement (i) is undetermined the other will also be undetermined.
Question 4
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 4 Explanation: 
Some priests are cunning and some are not cunning, these two statements are correct. Ans:- Option D
Question 5
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 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
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 7 Explanation: 
From the statement the suitable proposition is option ‘B’.
→ Some thieves are not poor which is correct.
There are 7 questions to complete.

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