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On a certain street, there is an odd number of houses in a row. The ho

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Math Expert
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On a certain street, there is an odd number of houses in a row. The ho  [#permalink]

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New post 07 Oct 2018, 21:31
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Question Stats:

80% (01:05) correct 20% (01:00) wrong based on 101 sessions

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On a certain street, there is an odd number of houses in a row. The houses in the row are painted alternatively white and green, with the first house painted white. If n is the total number of houses in the row, how many of the houses are painted white?


A. (n + 1)/2

B. (n - 1)/2

C. n/2 + 1

D. n/2 - 1

E. n/2

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Re: On a certain street, there is an odd number of houses in a row. The ho  [#permalink]

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New post 07 Oct 2018, 23:13
1
This is a simple one.

The number of houses is odd and therefore we cannot simply opt for \(\frac{n}{2}\)

First house is white. Odd number of houses. Last house is white too.

Therefore, \(\frac{(n+1)}{2}\)
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Re: On a certain street, there is an odd number of houses in a row. The ho  [#permalink]

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New post 08 Oct 2018, 02:53
2
Pattern: WGWG......

Let n be 3 => WGW
No of houses that are painted white = 2

A. (n+1)/2 = 3+1/2 = 4/2 = 2----Yes
B. (n-1)/2 = 3-1/2 = 2/2 = 1----No
C. n/2+1 = 3/2+1 = 1.5+1 = 2.5---No
D. n/2-1 = 3/2-1 = 1.5-1 = 0.5---No
E. n/2 = 3/2 = 1.5---No

Hence A
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Re: On a certain street, there is an odd number of houses in a row. The ho  [#permalink]

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New post 26 Jul 2019, 13:16
Arjunjag1382

Nice approach.

Appreciated.

Posted from my mobile device
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Re: On a certain street, there is an odd number of houses in a row. The ho   [#permalink] 26 Jul 2019, 13:16
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