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# If 1/pq = 4/15 and p > q, what is the value of 1/q−1/p ?

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Senior Manager
Joined: 25 Dec 2018
Posts: 484
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
If 1/pq = 4/15 and p > q, what is the value of 1/q−1/p ?  [#permalink]

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29 Mar 2019, 08:50
00:00

Difficulty:

65% (hard)

Question Stats:

50% (02:05) correct 50% (02:49) wrong based on 22 sessions

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If 1/pq = 4/15 and p>q, what is the value of 1/q−1/p ?

I. p + q = 4
II. 1/p=2/5
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1026
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If 1/pq = 4/15 and p > q, what is the value of 1/q−1/p ?  [#permalink]

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29 Mar 2019, 11:08
1/pq = 4/15 or pq = 15/4

From S1:

p+q = 4
from the question, pq = fraction then either one of value is fraction or both.
Also, p>q.
Only p = 5/2 and q = 3/2 sastifies the above conditions.
Hence we can find the value of 1/q-1/p.
Sufficient.

From S2:

1/p = 2/5
then q = 3/2.
Hence sufficient.

D is the answer.
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Re: If 1/pq = 4/15 and p > q, what is the value of 1/q−1/p ?   [#permalink] 29 Mar 2019, 11:08
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# If 1/pq = 4/15 and p > q, what is the value of 1/q−1/p ?

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