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What is the condition for two ratios to be equal?
- a)Product of means is equal to antecedents
- b)Product of extremes is equal to consequents
- c)Antecedents are equal to consequents
- d)Product of means is equal to product of extremes
Correct answer is option 'D'. Can you explain this answer?
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What is the condition for two ratios to be equal?a)Product of means is...
Therefore, the correct answer is: Product of means is equal to product of extremes.
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What is the condition for two ratios to be equal?a)Product of means is...
Ratios:
A ratio is a comparison of two quantities. It is expressed in the form of a fraction or using a colon (:). For example, if we have two quantities A and B, the ratio of A to B can be written as A/B or A:B.
Equality of Ratios:
Two ratios are said to be equal if they represent the same comparison between quantities. In other words, the two ratios have the same value.
Conditions for Ratios to be Equal:
To determine if two ratios are equal, we can use different methods. However, the most common condition for two ratios to be equal is when the product of the means is equal to the product of the extremes.
Explanation:
Let's consider two ratios, A/B and C/D. According to the condition for equality of ratios, we have the following equation:
(A/B) = (C/D)
To check if the condition holds true, we can cross multiply the terms:
A * D = B * C
If the product of the means (B * C) is equal to the product of the extremes (A * D), then the two ratios are equal.
Example:
Let's take an example to understand this concept better. Consider the ratios 2/3 and 4/6. We can check if they are equal using the condition mentioned above:
Product of means = (3 * 4) = 12
Product of extremes = (2 * 6) = 12
Since the product of the means is equal to the product of the extremes (12 = 12), the two ratios are equal.
Conclusion:
In summary, two ratios are equal if the product of the means is equal to the product of the extremes. This condition allows us to determine if two ratios represent the same comparison between quantities.
A ratio is a comparison of two quantities. It is expressed in the form of a fraction or using a colon (:). For example, if we have two quantities A and B, the ratio of A to B can be written as A/B or A:B.
Equality of Ratios:
Two ratios are said to be equal if they represent the same comparison between quantities. In other words, the two ratios have the same value.
Conditions for Ratios to be Equal:
To determine if two ratios are equal, we can use different methods. However, the most common condition for two ratios to be equal is when the product of the means is equal to the product of the extremes.
Explanation:
Let's consider two ratios, A/B and C/D. According to the condition for equality of ratios, we have the following equation:
(A/B) = (C/D)
To check if the condition holds true, we can cross multiply the terms:
A * D = B * C
If the product of the means (B * C) is equal to the product of the extremes (A * D), then the two ratios are equal.
Example:
Let's take an example to understand this concept better. Consider the ratios 2/3 and 4/6. We can check if they are equal using the condition mentioned above:
Product of means = (3 * 4) = 12
Product of extremes = (2 * 6) = 12
Since the product of the means is equal to the product of the extremes (12 = 12), the two ratios are equal.
Conclusion:
In summary, two ratios are equal if the product of the means is equal to the product of the extremes. This condition allows us to determine if two ratios represent the same comparison between quantities.
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What is the condition for two ratios to be equal?a)Product of means is equal to antecedentsb)Product of extremes is equal to consequentsc)Antecedents are equal to consequentsd)Product of means is equal to product of extremesCorrect answer is option 'D'. Can you explain this answer?
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What is the condition for two ratios to be equal?a)Product of means is equal to antecedentsb)Product of extremes is equal to consequentsc)Antecedents are equal to consequentsd)Product of means is equal to product of extremesCorrect answer is option 'D'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the condition for two ratios to be equal?a)Product of means is equal to antecedentsb)Product of extremes is equal to consequentsc)Antecedents are equal to consequentsd)Product of means is equal to product of extremesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the condition for two ratios to be equal?a)Product of means is equal to antecedentsb)Product of extremes is equal to consequentsc)Antecedents are equal to consequentsd)Product of means is equal to product of extremesCorrect answer is option 'D'. Can you explain this answer?.
What is the condition for two ratios to be equal?a)Product of means is equal to antecedentsb)Product of extremes is equal to consequentsc)Antecedents are equal to consequentsd)Product of means is equal to product of extremesCorrect answer is option 'D'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the condition for two ratios to be equal?a)Product of means is equal to antecedentsb)Product of extremes is equal to consequentsc)Antecedents are equal to consequentsd)Product of means is equal to product of extremesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the condition for two ratios to be equal?a)Product of means is equal to antecedentsb)Product of extremes is equal to consequentsc)Antecedents are equal to consequentsd)Product of means is equal to product of extremesCorrect answer is option 'D'. Can you explain this answer?.
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