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# What is the value of n + p?

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Senior Manager
Joined: 15 Oct 2015
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Concentration: Finance, Strategy
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What is the value of n + p?  [#permalink]

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12 Feb 2016, 08:49
1
00:00

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: $$mn + pq + mp + nq = 6$$
CEO
Joined: 20 Mar 2014
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Schools: Kellogg '18 (M)
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Re: What is the value of n + p?  [#permalink]

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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

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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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

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