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There are a lot of houses such that the numbers of their doorplates ar

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New post 22 May 2016, 16:49
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There are a lot of houses such that the numbers of their doorplates are odd numbers and the first number of the doorplates is 545, the last number of the doorplates is 705. How many houses are there?

A. 61
B. 71
C. 81
D. 91
E. 101

* An answer will be posted in two days.

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Re: There are a lot of houses such that the numbers of their doorplates ar  [#permalink]

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New post 22 May 2016, 19:17
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MathRevolution wrote:
There are a lot of houses such that the numbers of their doorplates are odd numbers and the first number of the doorplates is 545, the last number of the doorplates is 705. How many houses are there?

A. 61
B. 71
C. 81
D. 91
E. 101

* An answer will be posted in two days.



Hi,
the numbers from 546 to 705 will have equal EVEN and ODD numbers.. and 545 will make one ODD extra..
# of ODDs =\(\frac{705-545}{2} + 1 = 80+1=81\)......C
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Re: There are a lot of houses such that the numbers of their doorplates ar  [#permalink]

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New post 08 Feb 2020, 12:43
MathRevolution wrote:
There are a lot of houses such that the numbers of their doorplates are odd numbers and the first number of the doorplates is 545, the last number of the doorplates is 705. How many houses are there?

A. 61
B. 71
C. 81
D. 91
E. 101

* An answer will be posted in two days.


Assuming the lot of houses all have odd numbers on their doorplates and the odd numbers are consecutive, the number of odd numbers from 545 to 705, inclusive, is:

(705 - 545)/2 + 1 = 160/2 + 1 = 81

Answer: C
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Re: There are a lot of houses such that the numbers of their doorplates ar   [#permalink] 08 Feb 2020, 12:43
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