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What is the ration of number of odd integers to the number of even integers between -10.5 and 10.5?
- a)9/10
- b)10/11
- c)11/12
- d)20/21
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the ration of number of odd integers to the number of even int...
Integers between -10.5 and 10.5 are
-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Odd integers are -9, -7, -5, -3, -1, 1, 3, 5, 7, 9 (Total 10)
Even integers are -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10 (Total 11)
Hence, ratio of number of odd integers to the number of even integers between -10.5 and 10.5 is 10/11
Most Upvoted Answer
What is the ration of number of odd integers to the number of even int...
Question asks ... Count (odd) / count (even) from -10 to 10 inclusive.
-10,-8...0...8,10 / -9,-7...-1...1...7,9
-10,-8...0...8,10 / -9,-7...-1...1...7,9
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What is the ration of number of odd integers to the number of even int...
To find the ratio of the number of odd integers to the number of even integers between -10.5 and 10.5, we need to count the number of odd and even integers within this range.
Counting the odd integers:
- The smallest odd integer within the given range is -9.
- The largest odd integer within the given range is 9.
- The odd integers within the range are: -9, -7, -5, -3, -1, 1, 3, 5, 7, 9.
- There are 10 odd integers within the given range.
Counting the even integers:
- The smallest even integer within the given range is -10.
- The largest even integer within the given range is 10.
- The even integers within the range are: -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10.
- There are 11 even integers within the given range.
Therefore, the ratio of the number of odd integers to the number of even integers is 10:11, which can be simplified to 10/11.
Hence, the correct answer is option B) 10/11.
Counting the odd integers:
- The smallest odd integer within the given range is -9.
- The largest odd integer within the given range is 9.
- The odd integers within the range are: -9, -7, -5, -3, -1, 1, 3, 5, 7, 9.
- There are 10 odd integers within the given range.
Counting the even integers:
- The smallest even integer within the given range is -10.
- The largest even integer within the given range is 10.
- The even integers within the range are: -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10.
- There are 11 even integers within the given range.
Therefore, the ratio of the number of odd integers to the number of even integers is 10:11, which can be simplified to 10/11.
Hence, the correct answer is option B) 10/11.
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