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# If n, p, q, and r are consecutive integers, what is their su

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Manager
Joined: 01 Jul 2012
Posts: 84
Location: United States
GMAT 1: 510 Q34 V28
GMAT 2: 580 Q35 V35
GMAT 3: 640 Q34 V44
GMAT 4: 690 Q43 V42
GPA: 3.61
WE: Education (Education)
Followers: 12

Kudos [?]: 121 [0], given: 16

If n, p, q, and r are consecutive integers, what is their su [#permalink]

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11 Jul 2013, 13:08
00:00

Difficulty:

5% (low)

Question Stats:

89% (01:27) correct 11% (01:01) wrong based on 84 sessions

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If n, p, q, and r are consecutive integers, what is their sum?

A Odd
B Even
C Cannot be determined

What about -3, -2, -1, 0?
The sum of these integers is -7 (odd).
The question does not restrict the integers to positive values.
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 35241
Followers: 6618

Kudos [?]: 85327 [0], given: 10236

Re: If n, p, q, and r are consecutive integers, what is their su [#permalink]

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11 Jul 2013, 13:12
[align=][/align]
josemnz83 wrote:
If n, p, q, and r are consecutive integers, what is their sum?

A Odd
B Even
C Cannot be determined

What about -3, -2, -1, 0?
The sum of these integers is -7 (odd).
The question does not restrict the integers to positive values.

-3 + (-2) + (-1) + 0 = -6 = even.

(x-1) + x + (x+1) + (x+2) = 4x+2 = 2(2x+1) = even.
_________________
Manager
Joined: 01 Jul 2012
Posts: 84
Location: United States
GMAT 1: 510 Q34 V28
GMAT 2: 580 Q35 V35
GMAT 3: 640 Q34 V44
GMAT 4: 690 Q43 V42
GPA: 3.61
WE: Education (Education)
Followers: 12

Kudos [?]: 121 [0], given: 16

Re: If n, p, q, and r are consecutive integers, what is their su [#permalink]

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11 Jul 2013, 13:15
Brain freeze!

Bunuel wrote:
[align=][/align]
josemnz83 wrote:
If n, p, q, and r are consecutive integers, what is their sum?

A Odd
B Even
C Cannot be determined

What about -3, -2, -1, 0?
The sum of these integers is -7 (odd).
The question does not restrict the integers to positive values.

-3 + (-2) + (-1) + 0 = -6 = even.

(x-1) + x + (x+1) + (x+2) = 4x+2 = 2(2x+1) = even.
Manager
Joined: 29 Sep 2013
Posts: 53
Followers: 0

Kudos [?]: 30 [0], given: 48

Re: If n, p, q, and r are consecutive integers, what is their su [#permalink]

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05 Oct 2013, 16:53
josemnz83 wrote:
If n, p, q, and r are consecutive integers, what is their sum?

A Odd
B Even
C Cannot be determined

What about -3, -2, -1, 0?
The sum of these integers is -7 (odd).
The question does not restrict the integers to positive values.

The sum of -3,-2,-1 and 0 is -6 Which is again even!
Hope it helps
Intern
Joined: 19 Jan 2014
Posts: 13
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: If n, p, q, and r are consecutive integers, what is their su [#permalink]

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11 Feb 2014, 04:51
Sum=N*AVG ; as per we have 4 consecutive integers so its even

Even*Even = Even
Even*ODD= Even

so regardless of AVG value the sum will be even

Re: If n, p, q, and r are consecutive integers, what is their su   [#permalink] 11 Feb 2014, 04:51
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