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# A group of Building is numbered using all the even numbers

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Intern
Joined: 16 Dec 2012
Posts: 14
GMAT 1: 710 Q50 V35
A group of Building is numbered using all the even numbers  [#permalink]

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02 Aug 2018, 01:56
00:00

Difficulty:

15% (low)

Question Stats:

74% (00:44) correct 26% (01:02) wrong based on 61 sessions

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A group of buildings is numbered using all the even numbers between 412 and 680 inclusive, How many buildings are in the group ?

A:- 134
B:- 135
C:- 137
D:- 139
E:- 143
MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 1491
Concentration: Nonprofit
GPA: 4
WE: Engineering (Computer Software)
Re: A group of Building is numbered using all the even numbers  [#permalink]

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02 Aug 2018, 03:10
1
1
There are equal number of odd and even numbers between 412 and 680

So if we can find the difference between 412 and 680 and divide it by 2, we get the number of even or odd numbers

We also have to add 1 to the result since the the above calculation doesn't include 412 as even number

Total number of buildings = $$\frac{680-412}{2} + 1$$

= $$\frac{268}{2} + 1$$ = $$134 + 1 = 135$$

Hence option B
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Joined: 24 Jul 2018
Posts: 8
Re: A group of Building is numbered using all the even numbers  [#permalink]

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02 Aug 2018, 03:19
Ans: B

(680-412)/1 + 1 = 269

680 and 412 are both even numbers
=> number of even numbers is 1 more than number of odd numbers

269 = 135 + 134
=> 135

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Joined: 07 Dec 2014
Posts: 1129
Re: A group of Building is numbered using all the even numbers  [#permalink]

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02 Aug 2018, 17:34
Amankatyal wrote:
A group of buildings is numbered using all the even numbers between 412 and 680 inclusive, How many buildings are in the group ?

A:- 134
B:- 135
C:- 137
D:- 139
E:- 143

let x=number of buildings
412+2(x-1)=680
x=135
B
Re: A group of Building is numbered using all the even numbers &nbs [#permalink] 02 Aug 2018, 17:34
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