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...
-when two ratios are same they are said to be in proportion.
- suppose we write the two ratios like this ---> 6:3::5:15 ( :: means same as )
- but 6:3 is not same as 5:15
- to check it we know product of extremes = product of means
- 6 * 15 = 90
-3* 5 = 15
- 90 is not equal to 15 hence the given ratios are not in proportion .
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The ratios 6:3 and 5 :15 are given. Which of the following is true abo...
Given Ratios Analysis
Ratio 1: 6:3
- The ratio 6:3 can be simplified to 2:1 by dividing both numbers by the greatest common factor, which is 3.
- Therefore, the simplified version of ratio 6:3 is 2:1.
Ratio 2: 5:15
- The ratio 5:15 can be simplified to 1:3 by dividing both numbers by the greatest common factor, which is 5.
- Therefore, the simplified version of ratio 5:15 is 1:3.
Analysis of Given Ratios
- The simplified versions of the given ratios 6:3 and 5:15 are 2:1 and 1:3 respectively.
- Since the simplified versions of the ratios are not equal, they are not in proportion.
- In a proportion, the ratios must be equal when simplified to the same terms.
Therefore, the correct answer is option 'A' - The given ratios are not in proportion.
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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 proportionb)The given ratios are equalc)The given ratios are equivalentd)The given ratios are in proportionCorrect answer is option 'A'. Can you explain this answer?
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