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What is the value of n + p?

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Senior Manager
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What is the value of n + p?  [#permalink]

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New post 12 Feb 2016, 08:49
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

94% (01:09) correct 6% (00:59) wrong based on 107 sessions

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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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Re: What is the value of n + p?  [#permalink]

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New post 12 Feb 2016, 09:16
1
Nez wrote:
What is the value of n + p?

1: m = 4 - q
2: mn + pq + mp + nq = 6


The question asks n+p=?

Per statement 1, m=4-q. Clearly not sufficient.

Per statement 2, mn + pq + mp + nq = 6 , clearly not sufficient.

Combining, you get from mn + pq + mp + nq = 6 ---> m(n+p)+q(n+p) = 6 and from m=4-q we get, 4(n+p)-q(n+p)+q(n+p) = 6 ---> 4(n+p)=6 ---> sufficient.

C is thus the correct answer.

Hope this helps.
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Re: What is the value of n + p?  [#permalink]

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New post 09 Jul 2017, 07:55
1
Nezdem wrote:
What is the value of \(n + p\)?

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


1: \(m = 4 - q\)

\(m + q = 4\)

This does not give us any value of q and p so we will not be able to find the value of \(n + p\)

Hence, (1) ===== is NOT SUFFICIENT

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

\(mn + pq + mp + nq = 6\)

\(mn + mp + pq + nq = 6\)

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

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

As we are not aware of the value of (m + q) this equation is not sufficient.

Hence, (2) ===== is NOT SUFFICIENT

Combining (1) & (2)

\(mn + pq + mp + nq = 6\)

\(mn + mp + pq + nq = 6\)

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

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

\(4 * (n + p) = 6\)

\((n + p) = 6/4\)

Hence, (1) & (2) ===== is SUFFICIENT

Hence, Answer is C
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Re: What is the value of n + p?   [#permalink] 09 Jul 2017, 07:55
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