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# Are the integers p, q, r in an arithmetic progression? (1) q = p*r

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1428
Location: India
Are the integers p, q, r in an arithmetic progression? (1) q = p*r  [#permalink]

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17 Jan 2019, 22:05
2
00:00

Difficulty:

75% (hard)

Question Stats:

39% (01:38) correct 61% (01:39) wrong based on 66 sessions

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Are the integers p, q, r in an arithmetic progression?

(1) q = p*r

(2) q = p + r
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1020
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: Are the integers p, q, r in an arithmetic progression? (1) q = p*r  [#permalink]

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17 Jan 2019, 22:16
If p, q and r are in AP, then q = p+r/2

From statement 1:

q = p*r
Hence p, q and r are not in AP.
Sufficient.

From statement 2:

q = p+r
Again, p, q, and r are not in AP.
Sufficient.

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Joined: 03 Jan 2018
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Are the integers p, q, r in an arithmetic progression? (1) q = p*r  [#permalink]

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18 Feb 2019, 14:40
Can someone explain the OA?
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Joined: 24 Jun 2008
Posts: 1803
Re: Are the integers p, q, r in an arithmetic progression? (1) q = p*r  [#permalink]

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18 Feb 2019, 14:50
1
The question doesn't make much sense, so it's not worth worrying about - it's not even clear what it means (do we need p, q and r to be in progression in that order?) Nor do you even need to know what the phrase "arithmetic progression" means for the GMAT. But it's certainly possible that p=q=r=0 here, and 0, 0, 0 is an arithmetic progression, so the answer using both statements is "possibly yes". But it's also "possibly no", since we could have q = 4 and p=r=2.
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Re: Are the integers p, q, r in an arithmetic progression? (1) q = p*r   [#permalink] 18 Feb 2019, 14:50
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