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If p and q are integers, what is the value of (p + q)?

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If p and q are integers, what is the value of (p + q)?  [#permalink]

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New post 24 Sep 2018, 06:10
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A
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C
D
E

Difficulty:

  35% (medium)

Question Stats:

62% (01:11) correct 38% (00:58) wrong based on 107 sessions

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Re: If p and q are integers, what is the value of (p + q)?  [#permalink]

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New post 24 Sep 2018, 07:49
1
Bunuel wrote:
If p and q are integers, what is the value of (p + q)?


(1) pq = 6
(2) (p + q)^2 = 4


Question: (p+q) = ?

Statement 1: pq = 6
@p = 1, q = 6, p+q = 7
@p = 2, q = 3, p+q = 5
NOT SUFFICIENT

Statement 2: \((p+q)^2 = 4\)
p+q = +2
NOT SUFFICIENT

Combining the two statements

Bunuel : It's a wrong question as the two statements can NOT co-exist. Please let me know if anything is wrong with my understanding
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Re: If p and q are integers, what is the value of (p + q)?  [#permalink]

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New post 24 Sep 2018, 08:24
GMATinsight wrote:
Bunuel wrote:
If p and q are integers, what is the value of (p + q)?


(1) pq = 6
(2) (p + q)^2 = 4


Question: (p+q) = ?

Statement 1: pq = 6
@p = 1, q = 6, p+q = 7
@p = 2, q = 3, p+q = 5
NOT SUFFICIENT

Statement 2: \((p+q)^2 = 4\)
p+q = +2
NOT SUFFICIENT

Combining the two statements

Bunuel : It's a wrong question as the two statements can NOT co-exist. Please let me know if anything is wrong with my understanding


(2) reads (p + q)^2 = 49, not 4. Edited. Thank you.
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If p and q are integers, what is the value of (p + q)?  [#permalink]

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New post Updated on: 24 Sep 2018, 18:30
1
Bunuel wrote:
If p and q are integers, what is the value of (p + q)?


(1) pq = 6
(2) (p + q)^2 = 49


Question: (p+q) = ?

Statement 1: pq = 6
@p = 1, q = 6, p+q = 7
@p = 2, q = 3, p+q = 5
NOT SUFFICIENT

Statement 2: \((p+q)^2 = 49\)
p+q = +7
NOT SUFFICIENT

Combining the two statements
@p = 1, q = 6, p+q = 7
@p = -1, q = -6, p+q = -7
NOT SUFFICIENT

Answer: Option E
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Originally posted by GMATinsight on 24 Sep 2018, 08:29.
Last edited by GMATinsight on 24 Sep 2018, 18:30, edited 1 time in total.
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Re: If p and q are integers, what is the value of (p + q)?  [#permalink]

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New post 24 Sep 2018, 16:03
GMATinsight wrote:
Bunuel wrote:
If p and q are integers, what is the value of (p + q)?


(1) pq = 6
(2) (p + q)^2 = 49


Question: (p+q) = ?

Statement 1: pq = 6
@p = 1, q = 6, p+q = 7
@p = 2, q = 3, p+q = 5
NOT SUFFICIENT

Statement 2: \((p+q)^2 = 49\)
p+q = +7
NOT SUFFICIENT

Combining the two statements
@p = 1, q = 6, p+q = 7
SUFFICIENT

Answer: Option C


Why are you eliminating the option of p=-1 q=-6 so pq=(-1)(-6) = 6

I think it's E since we don't know if it's p+q = +7 or p+q = -7
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Re: If p and q are integers, what is the value of (p + q)?   [#permalink] 24 Sep 2018, 16:03
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