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P: The quotient of two integers is always a rational number.
Q : 1/0 is not rational. Which of the following statements is true?
Q : 1/0 is not rational. Which of the following statements is true?
- a)P is true and Q is the correct explanation of P.
- b)P is false and Q is the correct explanation of P.
- c)P is true and Q is false.
- d)Both P and Q are false.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
P: The quotient of two integers is always a rational number.Q :1/0 is ...
Since, 1/0 is not rational, the quotient of two integers is not always rational.
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
P: The quotient of two integers is always a rational number.Q :1/0 is ...
Explanation:
Statement P: The quotient of two integers is always a rational number.
Statement Q: 1/0 is not rational.
To determine the correct answer, we need to evaluate both statements individually.
Evaluating Statement P:
A rational number is any number that can be expressed as a fraction where the numerator and denominator are integers. When we divide two integers, the result can be expressed as a fraction. For example, if we divide 4 by 2, the result is 2 which can be expressed as 2/1, where both the numerator and denominator are integers. Therefore, Statement P is true.
Evaluating Statement Q:
To determine if 1/0 is rational or not, we need to consider the definition of a rational number. A rational number cannot have a denominator of zero, as division by zero is undefined. In this case, the denominator is zero, which makes the expression 1/0 undefined. Therefore, Statement Q is true.
Comparing Statements P and Q:
Statement Q provides a correct explanation for Statement P. The reason why the quotient 1/0 is not rational is because division by zero is undefined. Therefore, the correct answer is option 'B' - P is false and Q is the correct explanation of P.
Summary:
The quotient of two integers is not always a rational number, as demonstrated by the undefined result of 1/0. Therefore, Statement P is false, and Statement Q provides the correct explanation for this.
Statement P: The quotient of two integers is always a rational number.
Statement Q: 1/0 is not rational.
To determine the correct answer, we need to evaluate both statements individually.
Evaluating Statement P:
A rational number is any number that can be expressed as a fraction where the numerator and denominator are integers. When we divide two integers, the result can be expressed as a fraction. For example, if we divide 4 by 2, the result is 2 which can be expressed as 2/1, where both the numerator and denominator are integers. Therefore, Statement P is true.
Evaluating Statement Q:
To determine if 1/0 is rational or not, we need to consider the definition of a rational number. A rational number cannot have a denominator of zero, as division by zero is undefined. In this case, the denominator is zero, which makes the expression 1/0 undefined. Therefore, Statement Q is true.
Comparing Statements P and Q:
Statement Q provides a correct explanation for Statement P. The reason why the quotient 1/0 is not rational is because division by zero is undefined. Therefore, the correct answer is option 'B' - P is false and Q is the correct explanation of P.
Summary:
The quotient of two integers is not always a rational number, as demonstrated by the undefined result of 1/0. Therefore, Statement P is false, and Statement Q provides the correct explanation for this.
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P: The quotient of two integers is always a rational number.Q :1/0 is not rational. Which of the following statements is true?a)P is true and Q is the correct explanation of P.b)P is false and Q is the correct explanation of P.c)P is true and Q is false.d)Both P and Q are false.Correct answer is option 'B'. Can you explain this answer?
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P: The quotient of two integers is always a rational number.Q :1/0 is not rational. Which of the following statements is true?a)P is true and Q is the correct explanation of P.b)P is false and Q is the correct explanation of P.c)P is true and Q is false.d)Both P and Q are false.Correct answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about P: The quotient of two integers is always a rational number.Q :1/0 is not rational. Which of the following statements is true?a)P is true and Q is the correct explanation of P.b)P is false and Q is the correct explanation of P.c)P is true and Q is false.d)Both P and Q are false.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P: The quotient of two integers is always a rational number.Q :1/0 is not rational. Which of the following statements is true?a)P is true and Q is the correct explanation of P.b)P is false and Q is the correct explanation of P.c)P is true and Q is false.d)Both P and Q are false.Correct answer is option 'B'. Can you explain this answer?.
P: The quotient of two integers is always a rational number.Q :1/0 is not rational. Which of the following statements is true?a)P is true and Q is the correct explanation of P.b)P is false and Q is the correct explanation of P.c)P is true and Q is false.d)Both P and Q are false.Correct answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about P: The quotient of two integers is always a rational number.Q :1/0 is not rational. Which of the following statements is true?a)P is true and Q is the correct explanation of P.b)P is false and Q is the correct explanation of P.c)P is true and Q is false.d)Both P and Q are false.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P: The quotient of two integers is always a rational number.Q :1/0 is not rational. Which of the following statements is true?a)P is true and Q is the correct explanation of P.b)P is false and Q is the correct explanation of P.c)P is true and Q is false.d)Both P and Q are false.Correct answer is option 'B'. Can you explain this answer?.
Solutions for P: The quotient of two integers is always a rational number.Q :1/0 is not rational. Which of the following statements is true?a)P is true and Q is the correct explanation of P.b)P is false and Q is the correct explanation of P.c)P is true and Q is false.d)Both P and Q are false.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
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P: The quotient of two integers is always a rational number.Q :1/0 is not rational. Which of the following statements is true?a)P is true and Q is the correct explanation of P.b)P is false and Q is the correct explanation of P.c)P is true and Q is false.d)Both P and Q are false.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for P: The quotient of two integers is always a rational number.Q :1/0 is not rational. Which of the following statements is true?a)P is true and Q is the correct explanation of P.b)P is false and Q is the correct explanation of P.c)P is true and Q is false.d)Both P and Q are false.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of P: The quotient of two integers is always a rational number.Q :1/0 is not rational. Which of the following statements is true?a)P is true and Q is the correct explanation of P.b)P is false and Q is the correct explanation of P.c)P is true and Q is false.d)Both P and Q are false.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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