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What is the value of n + p? (1) m = 4 - q (2) mn + pq + mp + nq = 6

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What is the value of n + p? (1) m = 4 - q (2) mn + pq + mp + nq = 6  [#permalink]

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New post 21 Jan 2020, 03:27
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

76% (01:22) correct 24% (01:21) wrong based on 21 sessions

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Re: What is the value of n + p? (1) m = 4 - q (2) mn + pq + mp + nq = 6  [#permalink]

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New post 21 Jan 2020, 04:04
Bunuel wrote:
What is the value of \(n + p\)?

(1) \(m = 4 - q\)
(2) \(mn + pq + mp + nq = 6\)


Question: the value of \(n + p\)?

Statement 1: \(m = 4 - q\)

i.e. \(m + q = 4\)

NOT SUFFICIENT

Statement 2: \(mn + pq + mp + nq = 6\)

i.e. \((n+p)(m+q) = 6\)

NOT SUFFICIENT

Combining the two statements

\((n+p)(m+q) = 6\) and \(m + q = 4\)

i.e. \(n+p = 6/4 = 3/2\)

SUFFICIENT

Answer: Option C
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Re: What is the value of n + p? (1) m = 4 - q (2) mn + pq + mp + nq = 6   [#permalink] 21 Jan 2020, 04:04
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