Bissoy.com
Doctors Medicines MCQs Q&A

If 'Some members are not voters' is false in a square of the opposition of proposition, which of the following code can be correctly picked A. 'All members are voters' is false B. 'Some members are voters' is true C. 'All members are voters' is true D. 'No members are voters' is true Choose the correct answer from the options given below:

If 'Some members are not voters' is false in a square of the opposition of proposition, which of the following code can be correctly picked A. 'All members are voters' is false B. 'Some members are voters' is true C. 'All members are voters' is true D. 'No members are voters' is true Choose the correct answer from the options given below: Correct Answer B and C only

The square of opposition is a diagram used in categorical logic to depict the logical relationship that exists between particular propositions based on their form.

Key Points  

Diagram of Aristotelian Square of Opposition. 

The four corners of this diagram represent the four basic forms of propositions. 

 Propositions From   Title  Example
A All S is P Universal affirmatives All members are voters.
E No S are P Universal negative No members are voters.
I Some S are P Particular affirmatives Some members are voters.
O Some S are not P Particular Negative Some members are not voters.

Now applying the rule of the Square of Opposition.

Types of Square of Opposition  Rules
Contradictory
  • A and O, E, and I propositions are contradictory. 
  • If One is True the other will be false definitely.
  • If One is False the other will be True definitely. 
  • For Example, Some members are not voters' is false then, All members are voters must be true 
Contrary
  • A and E propositions are contrary. 
  • It's always Between Universal. 
  • Both statements cannot be true at the same time but both can be False. 
  • If One is True the other will be False definitely. 
  • If One is False the other will be  Doubtful. 
Sub-contrary
  • I and O propositions are subcontrary.
  • It is always between Particulars. 
  • It is the opposite of the Contrary. 
  • Both Statements can't be False at the same time but both can be True. 
  • If One is False the other will be true definitely. 
  • If One is True the other will be Doubtful
  • For Example, 'Some members are not voters' is false, 'Some members are voters' is true
Subalternation
  • A and I, E and O propositions are Subalternation. ​
  • Between Universal and Particulars.
  • If Universal is True Particular will be False definitely. 
  • If Universal is False Particular will be True Doubtful. 
  • If Particular is False Universal will be False definitely. 
  • If Particular is True Universal will be Doubtful.  
  • For Example, Some members are not voters is false then, No members are voters are must True. 

Thus, 'Some members are voters' is true, and  'All members are voters' is true are correct. 

Related Questions

Which of the following statements are correct? A. A proposition and E proposition are contradictories B. A proposition and O proposition are contradictories C. E proposition and O proposition are contradictories D. I proposition and O proposition are contraries E. I proposition and O proposition are subcontraies Choose the correct answer from the options given below:
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm
If 'All men are mortal' is given as True, then which of the following options can be validly inferred from it? A. 'No men is mortal' is False B. 'Some men are mortal' is True C. 'Some men are not mortal' is True D. 'Some men are not mortal' is False E. 'Some men are mortal' is False Choose the correct answer from the options given below :
District XYZ has 50,000 voters; out of them, 20% are urban voters and 80% rural voters. For an election, 25% of the rural voters were shifted to the urban area. Out of the voters in both rural and urban areas, 60% are honest, 70% are hardworking, and 35% are both honest and hardworking. Two candidates, A and B, contested the election. Candidate B swept the urban vote, while Candidate A found favour with the rural voters. Voters who were both honest and hardworking voted for NOTA. How many votes were polled in favour of candidate A, candidate B and NOTA, respectively?
Propositional logic is referred as
1. statements logic.
2. proposition which join entire proposition.
3. argument logic.
4. proposition does not join entire proposition.
Select the correct answer:
To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?
In the question given below, four sentences are given which may or may not be grammatically correct. From the given options, choose the grammatically correct sentence. A. The members-only zone on the top of the ship has its own luxurious accommodations including suite, private lounges and dining options. B. The members-only zone on the top of the ship has its own luxuries accommodations including suites, private lounges and dining options. C. The members-only zone along the top of the ship has its own luxuries accommodations including suites, private lounges and dining options. D. The members-only zone on the top of the ship has its own luxurious accommodations including suites, private lounges and dining options. 
Consider the following statements regarding Leader of the Opposition in either House of the Parliament of India. 1. The position of Leader of the Opposition is a constitutional post 2. When no party in the Lok Sabha secures required seats to form an opposition party and to designate a Leader of opposition, the matter is then decided  by the President of India. Which of the above statements is/are correct?
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R  Assertion A: A proposition is a statement about observable phenomena (concepts) that may be judged as true or false.  Reason R: When a proposition is formulated for empirical testing, it is called a hypothesis.  In light of the above statements, choose the most appropriate answer from the options given below 
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).  Assertion (A): Tax should not be charged on dividend income from the shareholders  Reason (R): Some economists are of the opinion that when tax has already been paid on the profit of the company and balance is distributed as dividend to the owners, tax need not be levied on them  In the light of the above two statements, choose the correct answer from the options given below  1. Both A) and R) true and R) is the correct explanation of A) 2. Both A) and R) true but R) is NOT the correct explanation of A) 3. A) is true but R) is false  4. A) is false but R) is true