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The ratio of the quantities is 5:7. If the consequent of its inverse ratio is 5, the antecedent is
- a)5
- b)8
- c)7
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The ratio of the quantities is 5:7. If the consequent of its inverse r...
The given ratio is 5:7, where 5 is the antecedent (the first term) and 7 is the consequent (the second term).
The inverse ratio would flip these, becoming 7:5.
If the consequent of the inverse ratio is 5, this confirms that the inverse ratio is indeed 7:5, as the consequent (second term) is 5.
You're asked for the antecedent of the inverse ratio. Since we've established that the inverse ratio is 7:5, the antecedent (first term) is 7.
Therefore, the correct answer is: 7
Most Upvoted Answer
The ratio of the quantities is 5:7. If the consequent of its inverse r...
Ratio and Proportion is an important topic in mathematics which deals with the comparison of two or more quantities. In this question, we are given a ratio and we need to find its inverse ratio.
Ratio and Inverse Ratio
Ratio: A ratio is the comparison of two or more quantities of the same kind by division. It is represented as a:b or a/b, where a and b are the two quantities being compared.
Inverse Ratio: The inverse ratio of a:b is b:a. In other words, if we interchange the antecedent and the consequent of a ratio, we get its inverse ratio.
Solution
Given, the ratio of the quantities is 5:7. Let us assume the quantities to be 5x and 7x.
Inverse ratio of 5:7 is 7:5.
The consequent of the inverse ratio is 5.
Therefore, 7x = 5.
Solving for x, we get x = 5/7.
To find the antecedent of the inverse ratio, we need to multiply 5/7 with the antecedent of the original ratio.
Antecedent of the original ratio = 5x = 5(5/7) = 25/7.
Therefore, the antecedent of the inverse ratio is 25/7.
Hence, the correct answer is option C, 7.
Ratio and Inverse Ratio
Ratio: A ratio is the comparison of two or more quantities of the same kind by division. It is represented as a:b or a/b, where a and b are the two quantities being compared.
Inverse Ratio: The inverse ratio of a:b is b:a. In other words, if we interchange the antecedent and the consequent of a ratio, we get its inverse ratio.
Solution
Given, the ratio of the quantities is 5:7. Let us assume the quantities to be 5x and 7x.
Inverse ratio of 5:7 is 7:5.
The consequent of the inverse ratio is 5.
Therefore, 7x = 5.
Solving for x, we get x = 5/7.
To find the antecedent of the inverse ratio, we need to multiply 5/7 with the antecedent of the original ratio.
Antecedent of the original ratio = 5x = 5(5/7) = 25/7.
Therefore, the antecedent of the inverse ratio is 25/7.
Hence, the correct answer is option C, 7.
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The ratio of the quantities is 5:7. If the consequent of its inverse r...
C ) 7
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