Class 6 Exam > Class 6 Questions > The ratios 6:3 and 5 :15 are given. Which of ...
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The ratios 6:3 and 5 :15 are given. Which of the following is true about them?
- a)The given ratios are not in proportion.
- b)The given ratios are equal.
- c)The given ratios are equivalent.
- d)The given ratios are in proportion.
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The ratios 6:3 and 5 :15 are given. Which of the following is true abo...
Explanation:
The given ratios are 6:3 and 5:15.
Definition of Proportion:
Two ratios are said to be in proportion if the cross products are equal. In other words, if the product of the first term of one ratio and the second term of the other ratio is equal to the product of the second term of the first ratio and the first term of the second ratio, then the ratios are in proportion.
Example:
If we have two ratios, a:b and c:d, then the cross products would be ad and bc. If ad = bc, then the ratios are in proportion.
Analysis of the Given Ratios:
Let's analyze the given ratios to determine if they are in proportion or not.
The first ratio is 6:3. If we take the cross products, we get 6 * 15 = 90 and 3 * 5 = 15. Since 90 is not equal to 15, the first ratio is not in proportion.
Similarly, for the second ratio, 5:15, the cross products would be 5 * 15 = 75 and 15 * 5 = 75. Since 75 is equal to 75, the second ratio is in proportion.
Conclusion:
Based on the analysis, we can conclude that the given ratios 6:3 and 5:15 are not in proportion. Therefore, option A is the correct answer.
Summary:
The given ratios are not in proportion.
The given ratios are 6:3 and 5:15.
Definition of Proportion:
Two ratios are said to be in proportion if the cross products are equal. In other words, if the product of the first term of one ratio and the second term of the other ratio is equal to the product of the second term of the first ratio and the first term of the second ratio, then the ratios are in proportion.
Example:
If we have two ratios, a:b and c:d, then the cross products would be ad and bc. If ad = bc, then the ratios are in proportion.
Analysis of the Given Ratios:
Let's analyze the given ratios to determine if they are in proportion or not.
The first ratio is 6:3. If we take the cross products, we get 6 * 15 = 90 and 3 * 5 = 15. Since 90 is not equal to 15, the first ratio is not in proportion.
Similarly, for the second ratio, 5:15, the cross products would be 5 * 15 = 75 and 15 * 5 = 75. Since 75 is equal to 75, the second ratio is in proportion.
Conclusion:
Based on the analysis, we can conclude that the given ratios 6:3 and 5:15 are not in proportion. Therefore, option A is the correct answer.
Summary:
The given ratios are not in proportion.
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Community Answer
The ratios 6:3 and 5 :15 are given. Which of the following is true abo...
Because the in 6:3 there are 2 digits and in 5:15 are 3 digits.
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The ratios 6:3 and 5 :15 are given. Which of the following is true about them?a)The given ratios are not in proportion.b)The given ratios are equal.c)The given ratios are equivalent.d)The given ratios are in proportion.Correct answer is option 'A'. Can you explain this answer?
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