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A group of five items is given. Four of them share the common features whereas one of them is different from others. Choose the item which is different from the others.
- a)1 : 1
- b)2 : 8
- c)3 : 27
- d)5 : 120
Correct answer is option 'D'. Can you explain this answer?
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A group of five items is given. Four of them share the common features...
In the five ratios the second number is the cube of the first. However, (d) is the exception.
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A group of five items is given. Four of them share the common features...
Differentiating Among Similar Items - Class 8
Explanation:
The given options are a set of ratios. Four of these ratios have a common factor, while one of them is different. The task is to identify the ratio that is different from the other four.
Ratio is a comparison of two quantities. In the given options, we have to identify the ratio that does not fit the pattern.
Let's examine each option one by one.
a) 1:1 - This ratio shows that both the quantities are equal. This ratio has no common factor, but it is identical to itself. Therefore, it is similar to the other ratios.
b) 2:8 - This ratio can be simplified by dividing both the quantities by 2.
2:8 = 1:4
This ratio has a common factor of 2.
c) 3:27 - This ratio can be simplified by dividing both the quantities by 3.
3:27 = 1:9
This ratio has a common factor of 3.
d) 5:120 - This ratio can be simplified by dividing both the quantities by 5.
5:120 = 1:24
This ratio has a common factor of 1.
Therefore, the ratio that is different from the other four is 5:120.
Conclusion:
The ratio that is different from the other four ratios is 5:120. It is the only ratio that does not have a common factor with the other ratios.
Explanation:
The given options are a set of ratios. Four of these ratios have a common factor, while one of them is different. The task is to identify the ratio that is different from the other four.
Ratio is a comparison of two quantities. In the given options, we have to identify the ratio that does not fit the pattern.
Let's examine each option one by one.
a) 1:1 - This ratio shows that both the quantities are equal. This ratio has no common factor, but it is identical to itself. Therefore, it is similar to the other ratios.
b) 2:8 - This ratio can be simplified by dividing both the quantities by 2.
2:8 = 1:4
This ratio has a common factor of 2.
c) 3:27 - This ratio can be simplified by dividing both the quantities by 3.
3:27 = 1:9
This ratio has a common factor of 3.
d) 5:120 - This ratio can be simplified by dividing both the quantities by 5.
5:120 = 1:24
This ratio has a common factor of 1.
Therefore, the ratio that is different from the other four is 5:120.
Conclusion:
The ratio that is different from the other four ratios is 5:120. It is the only ratio that does not have a common factor with the other ratios.
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A group of five items is given. Four of them share the common features whereas one of them is different from others. Choose the item which is different from the others.a)1 : 1b)2 : 8c)3 : 27d)5 : 120Correct answer is option 'D'. Can you explain this answer?
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