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Re: What is the number of odd integers ... [#permalink]
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motion2020 wrote:
you are including two evens, before adding 1
formula for interval that is the spaced order defined exclusively is (A-B)/2 - 1 too
KarunMendiratta wrote:
motion2020 wrote:
What is the number of odd integers that are greater than \(116,999\) and less than \(117,289\)?

(A) 147
(B) 146
(C) 145
(D) 144
(E) 143


To find the number of terms in a range;
Case I: when we have an odd and an even number as first and last term, the number of odd numbers and even numbers are same
Case II: when we have both first and last terms as odd or both even, the number of terms will have 1 more odd or even term.

Here, a number greater than 116,999 means 117,000 (First term)
and, less than 117,289 means 117,288 (Last term)

So, Case II applies

Number of terms = \(\frac{Last - First}{2}\) + 1 = \(\frac{288}{2}\) + 1 = 145 terms

Hence, option C


My bad I founded the number of even terms and forgot to subtract from the total terms to get the number of odd terms as asked in the question.
Made the necessary corrections.
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What is the number of odd integers ... [#permalink]
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The next odd number greater than 116,999 is 117,001
The next odd number less than 117,289 is 117,287

117,289 - 117,001 = 286

Number of odd terms = \(\frac{Last - First}{2}\) + 1 = \(\frac{286}{2}\) + 1 = 144 terms

Answer D
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Re: What is the number of odd integers ... [#permalink]
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Re: What is the number of odd integers ... [#permalink]
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