CA Foundation Exam > CA Foundation Questions > If each item is reduced by 10, the range isa)...
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If each item is reduced by 10, the range is
- a)Increased by 10
- b)Decreased by 15
- c)Unchanged
- d)None
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If each item is reduced by 10, the range isa)Increased by 10b)Decrease...
Explanation:
When each item in a set is reduced by the same amount, the range of the set remains unchanged. This is because the range is the difference between the highest and lowest values in the set, and reducing each item by the same amount will not change the relative distance between any two items.
For example, consider the set {10, 15, 20, 25, 30}. The range of this set is 30 - 10 = 20. If we reduce each item by 10, we get the set {0, 5, 10, 15, 20}. The range of this set is still 20 - 0 = 20, which is the same as the range of the original set.
Therefore, the correct answer is option C: Unchanged.
When each item in a set is reduced by the same amount, the range of the set remains unchanged. This is because the range is the difference between the highest and lowest values in the set, and reducing each item by the same amount will not change the relative distance between any two items.
For example, consider the set {10, 15, 20, 25, 30}. The range of this set is 30 - 10 = 20. If we reduce each item by 10, we get the set {0, 5, 10, 15, 20}. The range of this set is still 20 - 0 = 20, which is the same as the range of the original set.
Therefore, the correct answer is option C: Unchanged.
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Community Answer
If each item is reduced by 10, the range isa)Increased by 10b)Decrease...
Range is independent of change of origin
so it will remain unchanged
so it will remain unchanged
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If each item is reduced by 10, the range isa)Increased by 10b)Decreased by 15c)Unchangedd)NoneCorrect answer is option 'C'. Can you explain this answer?
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If each item is reduced by 10, the range isa)Increased by 10b)Decreased by 15c)Unchangedd)NoneCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If each item is reduced by 10, the range isa)Increased by 10b)Decreased by 15c)Unchangedd)NoneCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If each item is reduced by 10, the range isa)Increased by 10b)Decreased by 15c)Unchangedd)NoneCorrect answer is option 'C'. Can you explain this answer?.
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