It is currently 24 Nov 2017, 06:22

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

P, Q, R , S, T, U are positive integers, such that S/P + T/Q = U/R, is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
Manager
Manager
User avatar
G
Joined: 01 Sep 2016
Posts: 208

Kudos [?]: 186 [1], given: 33

GMAT 1: 690 Q49 V35
GMAT ToolKit User Reviews Badge CAT Tests
P, Q, R , S, T, U are positive integers, such that S/P + T/Q = U/R, is [#permalink]

Show Tags

New post 20 Sep 2017, 00:02
1
This post received
KUDOS
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

38% (02:23) correct 62% (01:58) wrong based on 52 sessions

HideShow timer Statistics

P, Q, R , S, T, U are positive integers, such that \(\frac{S}{P} + \frac{T}{Q} = \frac{U}{R}\), is P odd?

(1) Q and R are odd
(2) S is odd

Kudos for correct solution
[Reveal] Spoiler: OA

_________________

we shall fight on the beaches,
we shall fight on the landing grounds,
we shall fight in the fields and in the streets,
we shall fight in the hills;
we shall never surrender!


Last edited by Bunuel on 20 Sep 2017, 01:30, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 186 [1], given: 33

4 KUDOS received
Director
Director
avatar
P
Joined: 25 Feb 2013
Posts: 571

Kudos [?]: 264 [4], given: 35

Location: India
Schools: Mannheim"19 (S)
GPA: 3.82
GMAT ToolKit User Reviews Badge
P, Q, R , S, T, U are positive integers, such that S/P + T/Q = U/R, is [#permalink]

Show Tags

New post 20 Sep 2017, 00:40
4
This post received
KUDOS
2
This post was
BOOKMARKED
bkpolymers1617 wrote:
P, Q, R , S, T, U are positive integers, such that \(S/P\) + \(T/Q\)= \(U/R\), is P odd?

a) Q and R are odd
b) S is odd

Kudos for correct solution


\(\frac{S}{P} = \frac{U}{R}-\frac{T}{Q}\), Solve this to get

\(P = \frac{QRS}{(QU-TR)}\)
Now \(P\) is a positive integer, so integer \(QRS\) is divisible by integer \((QU-TR)\).
We need to know whether \(QRS\) is odd or even to determine whether \(P\) is odd or even

Statement 1: We know \(Q*R\) is odd but nothing is given about \(S\). So \(QRS\) can be odd or can be even. hence insufficient

Statement 2: We know \(S\) is odd but know nothing about \(Q\) & \(R\). Hence insufficient

Combining 1 & 2, we know \(Q*R*S\) is ODD, Hence \(P\) is ODD. Sufficient

Option C

Last edited by niks18 on 20 Sep 2017, 02:50, edited 1 time in total.

Kudos [?]: 264 [4], given: 35

Manager
Manager
User avatar
G
Joined: 01 Sep 2016
Posts: 208

Kudos [?]: 186 [0], given: 33

GMAT 1: 690 Q49 V35
GMAT ToolKit User Reviews Badge CAT Tests
Re: P, Q, R , S, T, U are positive integers, such that S/P + T/Q = U/R, is [#permalink]

Show Tags

New post 20 Sep 2017, 01:00
niks18 wrote:
bkpolymers1617 wrote:
P, Q, R , S, T, U are positive integers, such that \(S/P\) + \(T/Q\)= \(U/R\), is P odd?

a) Q and R are odd
b) S is odd

Kudos for correct solution


\(\frac{S}{P} = \frac{U}{R}-\frac{T}{Q}\), Solve this to get

\(P = \frac{QRS}{(QU-TU)}\)
Now \(P\) is a positive integer, so integer \(QRS\) is divisible by integer \((QU-TU)\).

We need to know whether \(QRS\) is odd or even to determine whether \(P\) is odd or even

Statement 1: We know \(Q*R\) is odd but nothing is given about \(S\). So \(QRS\) can be odd or can be even. hence insufficient

Statement 2: We know \(S\) is odd but know nothing about \(Q\) & \(R\). Hence insufficient

Combining 1 & 2, we know \(Q*R*S\) is ODD, Hence \(P\) is ODD. Sufficient

Option C


That is perfect. Thanks for posting :)
_________________

we shall fight on the beaches,
we shall fight on the landing grounds,
we shall fight in the fields and in the streets,
we shall fight in the hills;
we shall never surrender!

Kudos [?]: 186 [0], given: 33

Manager
Manager
avatar
B
Joined: 30 Jul 2013
Posts: 125

Kudos [?]: 4 [0], given: 33

Concentration: Strategy, Sustainability
GMAT 1: 710 Q49 V39
Re: P, Q, R , S, T, U are positive integers, such that S/P + T/Q = U/R, is [#permalink]

Show Tags

New post 20 Sep 2017, 03:59
bkpolymers1617 wrote:
P, Q, R , S, T, U are positive integers, such that \(\frac{S}{P} + \frac{T}{Q} = \frac{U}{R}\), is P odd?

(1) Q and R are odd
(2) S is odd

Kudos for correct solution


What am I missing?

\(\frac{U}{R} = \frac{(QS + PT)}{PQ}\)

1. Q and R are odd
From the above equation PQ=R and if Q and R are odd so shouldn't P also be odd?

Kudos [?]: 4 [0], given: 33

Director
Director
avatar
P
Joined: 25 Feb 2013
Posts: 571

Kudos [?]: 264 [0], given: 35

Location: India
Schools: Mannheim"19 (S)
GPA: 3.82
GMAT ToolKit User Reviews Badge
Re: P, Q, R , S, T, U are positive integers, such that S/P + T/Q = U/R, is [#permalink]

Show Tags

New post 20 Sep 2017, 05:43
ramalo wrote:
bkpolymers1617 wrote:
P, Q, R , S, T, U are positive integers, such that \(\frac{S}{P} + \frac{T}{Q} = \frac{U}{R}\), is P odd?

(1) Q and R are odd
(2) S is odd

Kudos for correct solution


What am I missing?

\(\frac{U}{R} = \frac{(QS + PT)}{PQ}\)

1. Q and R are odd
From the above equation PQ=R and if Q and R are odd so shouldn't P also be odd?


Hi ramalo

what you have mentioned here is a ratio, so you cannot directly equate the denominators.

Consider this: \(2*PQ = 2*R\), Now LHS and RHS are even and P may or may not be ODD despite Q & R being ODD

Kudos [?]: 264 [0], given: 35

1 KUDOS received
Manager
Manager
User avatar
G
Joined: 01 Sep 2016
Posts: 208

Kudos [?]: 186 [1], given: 33

GMAT 1: 690 Q49 V35
GMAT ToolKit User Reviews Badge CAT Tests
Re: P, Q, R , S, T, U are positive integers, such that S/P + T/Q = U/R, is [#permalink]

Show Tags

New post 20 Sep 2017, 06:48
1
This post received
KUDOS
Hi Ramalo

Here is an example to clarify your point. Check these 2 ratios:

8/6=4/3 check tge denominators. Are they of the same nature. See even though your fractions are the same, even then denominators are of opposite nature. So you simply cant equate the denominators. Hope this helps :)

Posted from my mobile device
_________________

we shall fight on the beaches,
we shall fight on the landing grounds,
we shall fight in the fields and in the streets,
we shall fight in the hills;
we shall never surrender!

Kudos [?]: 186 [1], given: 33

Director
Director
avatar
S
Joined: 12 Nov 2016
Posts: 794

Kudos [?]: 37 [0], given: 165

Re: P, Q, R , S, T, U are positive integers, such that S/P + T/Q = U/R, is [#permalink]

Show Tags

New post 26 Sep 2017, 04:16
bkpolymers1617 wrote:
P, Q, R , S, T, U are positive integers, such that \(\frac{S}{P} + \frac{T}{Q} = \frac{U}{R}\), is P odd?

(1) Q and R are odd
(2) S is odd

Kudos for correct solution


Before we do anything we need to rewrite the statement and isolate- that way we can simplify and find the true fundamental question

s/p= (qu-tr)/(qr) - to rewrite in terms of p just flip the right handside and multiply the top by "s"
p= qr*s/(qu-tr)

Statement 1


Too many possibilities

insuff

Statement 2

Several possiblities

insuff

Statement 1 and 2

If we know what QRS is then we know whether or not P is odd because any odd number that's an integer must be the product of two other odd integers

C

Kudos [?]: 37 [0], given: 165

Re: P, Q, R , S, T, U are positive integers, such that S/P + T/Q = U/R, is   [#permalink] 26 Sep 2017, 04:16
Display posts from previous: Sort by

P, Q, R , S, T, U are positive integers, such that S/P + T/Q = U/R, is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.