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Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-
- a)If the squares of two numbers are equal, then the numbers are equal.
- b)If the squares of two numbers are equal, then the numbers are not equal.
- c)If the squares of two numbers are not equal, then the numbers are equal.
- d)If the squares of two numbers are not equal, then the numbers are not equal.
Correct answer is option 'A'. Can you explain this answer?
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Contrapositive of the statement "If two numbers are not equal, th...
Yes A is correct answer because b and c options changes the meaning and d is not in right format
contrapositive means making converse of sentence and then to turn affirmative to negative and vice versa without changing its meaning
contrapositive means making converse of sentence and then to turn affirmative to negative and vice versa without changing its meaning
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Contrapositive of the statement "If two numbers are not equal, th...
Understanding the Contrapositive
To find the contrapositive of a conditional statement, we need to reverse and negate both the hypothesis and the conclusion. The original statement is:
- "If two numbers are not equal, then their squares are not equal."
Identifying Components
- Hypothesis (P): Two numbers are not equal.
- Conclusion (Q): Their squares are not equal.
Formulating the Contrapositive
The contrapositive will thus be structured as:
- "If not Q, then not P."
Applying to the Statement
1. Negate the Conclusion (not Q): Their squares are equal.
2. Negate the Hypothesis (not P): The two numbers are equal.
Putting it together, we have:
- "If the squares of two numbers are equal, then the numbers are equal."
Evaluating the Options
Now, let's analyze the provided options:
- Option A: If the squares of two numbers are equal, then the numbers are equal. (Correct)
- Option B: If the squares of two numbers are equal, then the numbers are not equal. (Incorrect)
- Option C: If the squares of two numbers are not equal, then the numbers are equal. (Incorrect)
- Option D: If the squares of two numbers are not equal, then the numbers are not equal. (Incorrect)
Conclusion
The correct answer is Option A. This accurately represents the contrapositive of the original statement, confirming that if the squares of two numbers are equal, then the two numbers themselves must also be equal.
To find the contrapositive of a conditional statement, we need to reverse and negate both the hypothesis and the conclusion. The original statement is:
- "If two numbers are not equal, then their squares are not equal."
Identifying Components
- Hypothesis (P): Two numbers are not equal.
- Conclusion (Q): Their squares are not equal.
Formulating the Contrapositive
The contrapositive will thus be structured as:
- "If not Q, then not P."
Applying to the Statement
1. Negate the Conclusion (not Q): Their squares are equal.
2. Negate the Hypothesis (not P): The two numbers are equal.
Putting it together, we have:
- "If the squares of two numbers are equal, then the numbers are equal."
Evaluating the Options
Now, let's analyze the provided options:
- Option A: If the squares of two numbers are equal, then the numbers are equal. (Correct)
- Option B: If the squares of two numbers are equal, then the numbers are not equal. (Incorrect)
- Option C: If the squares of two numbers are not equal, then the numbers are equal. (Incorrect)
- Option D: If the squares of two numbers are not equal, then the numbers are not equal. (Incorrect)
Conclusion
The correct answer is Option A. This accurately represents the contrapositive of the original statement, confirming that if the squares of two numbers are equal, then the two numbers themselves must also be equal.
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Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-a)If the squares of two numbers are equal, then the numbers are equal.b)If the squares of two numbers are equal, then the numbers are not equal.c)If the squares of two numbers are not equal, then the numbers are equal.d)If the squares of two numbers are not equal, then the numbers are not equal.Correct answer is option 'A'. Can you explain this answer?
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Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-a)If the squares of two numbers are equal, then the numbers are equal.b)If the squares of two numbers are equal, then the numbers are not equal.c)If the squares of two numbers are not equal, then the numbers are equal.d)If the squares of two numbers are not equal, then the numbers are not equal.Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-a)If the squares of two numbers are equal, then the numbers are equal.b)If the squares of two numbers are equal, then the numbers are not equal.c)If the squares of two numbers are not equal, then the numbers are equal.d)If the squares of two numbers are not equal, then the numbers are not equal.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-a)If the squares of two numbers are equal, then the numbers are equal.b)If the squares of two numbers are equal, then the numbers are not equal.c)If the squares of two numbers are not equal, then the numbers are equal.d)If the squares of two numbers are not equal, then the numbers are not equal.Correct answer is option 'A'. Can you explain this answer?.
Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-a)If the squares of two numbers are equal, then the numbers are equal.b)If the squares of two numbers are equal, then the numbers are not equal.c)If the squares of two numbers are not equal, then the numbers are equal.d)If the squares of two numbers are not equal, then the numbers are not equal.Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-a)If the squares of two numbers are equal, then the numbers are equal.b)If the squares of two numbers are equal, then the numbers are not equal.c)If the squares of two numbers are not equal, then the numbers are equal.d)If the squares of two numbers are not equal, then the numbers are not equal.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-a)If the squares of two numbers are equal, then the numbers are equal.b)If the squares of two numbers are equal, then the numbers are not equal.c)If the squares of two numbers are not equal, then the numbers are equal.d)If the squares of two numbers are not equal, then the numbers are not equal.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-a)If the squares of two numbers are equal, then the numbers are equal.b)If the squares of two numbers are equal, then the numbers are not equal.c)If the squares of two numbers are not equal, then the numbers are equal.d)If the squares of two numbers are not equal, then the numbers are not equal.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-a)If the squares of two numbers are equal, then the numbers are equal.b)If the squares of two numbers are equal, then the numbers are not equal.c)If the squares of two numbers are not equal, then the numbers are equal.d)If the squares of two numbers are not equal, then the numbers are not equal.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-a)If the squares of two numbers are equal, then the numbers are equal.b)If the squares of two numbers are equal, then the numbers are not equal.c)If the squares of two numbers are not equal, then the numbers are equal.d)If the squares of two numbers are not equal, then the numbers are not equal.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-a)If the squares of two numbers are equal, then the numbers are equal.b)If the squares of two numbers are equal, then the numbers are not equal.c)If the squares of two numbers are not equal, then the numbers are equal.d)If the squares of two numbers are not equal, then the numbers are not equal.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is :-a)If the squares of two numbers are equal, then the numbers are equal.b)If the squares of two numbers are equal, then the numbers are not equal.c)If the squares of two numbers are not equal, then the numbers are equal.d)If the squares of two numbers are not equal, then the numbers are not equal.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
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