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Four friends, P, Q, R and S have \$1400 with them. Does P have the high

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Math Expert
Joined: 02 Sep 2009
Posts: 55230
Four friends, P, Q, R and S have \$1400 with them. Does P have the high  [#permalink]

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06 Aug 2017, 00:59
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Difficulty:

45% (medium)

Question Stats:

66% (01:39) correct 34% (01:47) wrong based on 40 sessions

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Four friends, P, Q, R and S have \$1400 with them. Does P have the highest amount among the four friends?

(1) The amount with R is one-fifth the amount with Q.
(2) R has \$210 greater than what S has.

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Intern
Joined: 02 Jan 2017
Posts: 45
Re: Four friends, P, Q, R and S have \$1400 with them. Does P have the high  [#permalink]

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06 Aug 2017, 01:09
Bunuel wrote:
Four friends, P, Q, R and S have \$1400 with them. Does P have the highest amount among the four friends?

(1) The amount with R is one-fifth the amount with Q.
(2) R has \$210 greater than what S has.

I think it should be E. Because 1 does not mention the relationship with P.
2 also does same. When we combine, it still insufficient so it should be E

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Manager
Joined: 02 Nov 2015
Posts: 163
GMAT 1: 640 Q49 V29
Re: Four friends, P, Q, R and S have \$1400 with them. Does P have the high  [#permalink]

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06 Aug 2017, 01:41
Statement 1 says Q has five times the money compared to R.
Not sufficient.

Statement 2 says R has 210 greater than that of S.
Insufficient.

Both together:

P+Q+R+S=1400
P+Q+(S+210)+S=1400, because r has 210 greater than s.
P+5(S+210)+S+210+s=1400.
7S+P=140.

Which ultimately says that P doesn't have the highest amount.

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Current Student
Joined: 18 Aug 2016
Posts: 618
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: Four friends, P, Q, R and S have \$1400 with them. Does P have the high  [#permalink]

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06 Aug 2017, 04:11
Bunuel wrote:
Four friends, P, Q, R and S have \$1400 with them. Does P have the highest amount among the four friends?

(1) The amount with R is one-fifth the amount with Q.
(2) R has \$210 greater than what S has.

We know P+Q+R+S = 1400

(1) 5R = Q
Not Sufficient (R,Q) could be (10,50) or (200,1000)

(2) R=210+S
Not Sufficient (R,S) could be (210,0) or (790,580)

on combining

if S = 0 then R =210 then Q = 1050 then P = 1400-0-210-1050 = Not the highest
if S= 20 then R = 230 then Q = 1150 then P =1400-20-230-1150 = 0 Not the Highest
if S= 100 then R= 310 then Q = 1550 Not Possible
Since S ranges between 0-20 in all cases P is not the highest ...Sufficient
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Re: Four friends, P, Q, R and S have \$1400 with them. Does P have the high   [#permalink] 06 Aug 2017, 04:11
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