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m01 - Q 20

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Intern
Joined: 15 Jun 2008
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18 Sep 2008, 02:19
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If Jim saved a total of $90 in 3 weeks, how much did he save in week 2? (1) Jim's average savings for the first 2 weeks were$20
(2) Jim's first week's savings were half of his savings in week 2 and a third of his savings in week 3

[Reveal] Spoiler: OA
B

Source: GMAT Club Tests - hardest GMAT questions

Let's suppose , S1 , S2 and S3 are the amounts Jim saved for the first, second, and third week correspondingly.

From statement (1) we have that S1 + S2 = 120, but the question says that S1 + S2 + S3 = 180, so S3 = -40; he lost $40 during the third week. From the statement (2) we can construct system of equations: S1 + S2 + S3 = 80 2S1 - S2 = 0 3S1 - S3 = 0 How was above two equations written using the statement ?Subtracting second equation from the third gives us Solving it gives the value of . The answer is B. Kudos [?]: 5 [0], given: 0 VP Joined: 18 May 2008 Posts: 1259 Kudos [?]: 561 [1], given: 0 Re: m01 - Q 20 explaination not clear pls put some light [#permalink] Show Tags 19 Sep 2008, 03:09 1 This post received KUDOS Frm (2) let the savings for three weeks be x, 2x, 3x Then x+2x+3x= total savings=80 x can be found hence saving for second week can also be found Ans: B Kudos [?]: 561 [1], given: 0 Manager Joined: 28 Jul 2008 Posts: 99 Kudos [?]: 9 [0], given: 0 Re: m01 - Q 20 explaination not clear pls put some light [#permalink] Show Tags 21 Sep 2008, 09:35 I believe the first statement is meaningles. IMO saving must be positive whereas just like he mentioned it comes out to be negative ? Should be corrected. Kudos [?]: 9 [0], given: 0 Manager Joined: 14 May 2008 Posts: 57 Kudos [?]: 16 [2], given: 1 Schools: Wharton (WEMBA East) Re: m01 - Q 20 explaination not clear pls put some light [#permalink] Show Tags 18 Oct 2008, 13:40 2 This post received KUDOS The answer and explanation are correct, I solved it via S2, same as ritula, sum of the parts, x = 13 1/3, 2x = 26 2/3. But S1 then contradicts S2. As I understand it, that's not supposed to be possible on a DS question. S1 can be insufficient, but it can't be wrong. In this case it's wrong. If S1 stated that the average for the first 2 weeks was$20, this would be reconciled (and the answer stays the same).

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Re: m01 - Q 20 explaination not clear pls put some light [#permalink]

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23 Oct 2008, 05:51
Thanks, we'll edit the question. It indeed has a typo.
+1

scorcho wrote:
The answer and explanation are correct, I solved it via S2, same as ritula, sum of the parts, x = 13 1/3, 2x = 26 2/3.

But S1 then contradicts S2. As I understand it, that's not supposed to be possible on a DS question. S1 can be insufficient, but it can't be wrong. In this case it's wrong.

If S1 stated that the average for the first 2 weeks was $20, this would be reconciled (and the answer stays the same). _________________ Welcome to GMAT Club! Want to solve GMAT questions on the go? GMAT Club iPhone app will help. Please read this before posting in GMAT Club Tests forum Result correlation between real GMAT and GMAT Club Tests Are GMAT Club Test sets ordered in any way? Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas. GMAT Club Premium Membership - big benefits and savings Kudos [?]: 1000 [0], given: 334 Director Joined: 01 Aug 2008 Posts: 726 Kudos [?]: 903 [0], given: 99 Re: m01 - Q 20 explaination not clear pls put some light [#permalink] Show Tags 31 Oct 2008, 06:25 OK. may be I misinterpreted statement 2. I concluded S1 = 1/2 S2 + 1/3 S3 so I chose answer 5. But in the answer explanation, 2S1 - S2 =0 3S1 - S3 = 0 In Statement 2, it used 'And' not 'Or' right? can you guys explain me understanding this? Thanks. Kudos [?]: 903 [0], given: 99 SVP Joined: 29 Aug 2007 Posts: 2468 Kudos [?]: 887 [0], given: 19 Re: m01 - Q 20 explaination not clear pls put some light [#permalink] Show Tags 31 Oct 2008, 08:36 dzyubam wrote: Thanks, we'll edit the question. It indeed has a typo. +1 scorcho wrote: The answer and explanation are correct, I solved it via S2, same as ritula, sum of the parts, x = 13 1/3, 2x = 26 2/3. But S1 then contradicts S2. As I understand it, that's not supposed to be possible on a DS question. S1 can be insufficient, but it can't be wrong. In this case it's wrong. If S1 stated that the average for the first 2 weeks was$20, this would be reconciled (and the answer stays the same).

Yeah, thats necessary to make the question worthful.

Thanks.
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Re: m01 - Q 20 explaination not clear pls put some light [#permalink]

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31 Oct 2008, 09:45
GMATTIGER,

can you explain a bit more? are you saying that is correct(usning 'and' in statement 2 instead of an 'or') or wrong?

any help would be appreciated.

Thanks.

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Re: m01 - Q 20 explaination not clear pls put some light [#permalink]

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01 Nov 2008, 11:14
ugimba wrote:
GMATTIGER, can you explain a bit more? are you saying that is correct(usning 'and' in statement 2 instead of an 'or') or wrong? any help would be appreciated.
Thanks.

According to the question:

From statement 1: (w1 + w2)/2 = 60
w1 + w2 = 120

Since the question says that saving in 3 weeks is 80, how is it possible to 120 savings in 2 weeks. Ok, The question might assume that there is a negative savings of $40 in w3. Ok agreed. From statement 2: w1 = w2/2 = w3/3 so w2 = 2w1 and w3 = 3w1 w1 + w2 + w3 = 80 Since w1+w2+w3 = 80, and w1+w2 = 120, it cannot be true that w3 = 3w1 because w3 saving is -ve and w1 is +ve.. Therefore the assumptions are self contradictory. However, I am sure "dzyubam" might have already changed the question as required. Quote: Jim has saved$80 in 3 weeks. How much did he save in Week 2?

1. Jim's average savings for the first 2 weeks were $20 2. Jim's first week's savings were half of his savings in week 2 and a third of his savings in week 3 [Reveal] Spoiler: OA B Source: GMAT Club Tests - hardest GMAT questions 1) offcourse is not sufficient to solve 2) S1+S2+S3 = 90 S1 = 1/2S2 S3 = 3S1 = 3/2(S2) S2(1+1/2+3/2) = 90 S2 = 180/6 = 30 hence B Kudos [?]: 5 [0], given: 3 Intern Status: UF BSBA '15 - Preparing for the future Joined: 09 May 2011 Posts: 25 Kudos [?]: 5 [0], given: 2 Location: United States GPA: 3.87 WE: Human Resources (Consulting) Re: m01 - Q 20 explaination not clear pls put some light [#permalink] Show Tags 12 Jul 2011, 11:02 Here is something I do not understand. According to statement one, the average savings for the first two weeks were$20. I assumed that meant after two weeks he had $40. Where are people getting$120 from?

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Re: m01 - Q 20 explaination not clear pls put some light [#permalink]

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16 Jul 2012, 04:26
1
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Here's my logic to this question:

1) He could have saved $10 in week 1 and$30 in week 2 and you get an average of $20 OR he could have saved$20 in both week 1 and 2 and that gives you an average of $20. Clearly Not sufficient 2) You get only one value for this. Week 2=$30... Week 1= $15.... Week 3=$45
All 3 weeks equal $90. Try to plug in other values and it doesn't work. Answer B Kudos [?]: 1 [1], given: 1 Intern Joined: 19 Jul 2012 Posts: 2 Kudos [?]: [0], given: 8 GPA: 3.65 Re: m01 - Q 20 [#permalink] Show Tags 19 Jul 2012, 14:38 1) First statement only give the average of the first two weeks. May be there was no income in the first or second week. Incomplete information. 2) you can create a equation to solve with this information 1/2x + x + 3(1/2x) = 90 (You don't have to solve, just create an equation to establish relationship) Ans : B ( 2nd statement is sufficient to ans., but not 1st) Kudos [?]: [0], given: 8 Math Expert Joined: 02 Sep 2009 Posts: 43322 Kudos [?]: 139407 [0], given: 12789 Re: m01 - Q 20 [#permalink] Show Tags 20 Jul 2012, 04:18 itiskavikatha wrote: If Jim saved a total of$90 in 3 weeks, how much did he save in week 2?

(1) Jim's average savings for the first 2 weeks were $20 (2) Jim's first week's savings were half of his savings in week 2 and a third of his savings in week 3 Note that: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other. But for this question, from the first statement we get that the total savings for the first 2 weeks were$40 and from the second statement we get that the total savings for the first 2 weeks were $15+$30=$45, so the statements clearly contradict each other. Revised question reads: If Jim saved a total of$90 in 3 weeks, how much did he save in week 2?

Say $$S_1$$, $$S_2$$, and $$S_3$$ are the amounts Jim saved for the first, second, and third week, respectively.

(1) Jim's average savings for the first 2 weeks were \$22.5. Given: $$S_1+S_2=2*22.5=45$$, not sufficient to get the value of $$S_2$$.

(2) Jim's first week's savings were half of his savings in week 2 and a third of his savings in week 3. Given: $$2*S_1=S_2$$ and $$3*S_1=S_3$$. Since, also given that $$S_1+S_2+S_3=90$$, then $$S_1+2*S_1+3*S_1=90$$, which gives $$S_1=15$$. Therefore $$S_2=2*S_1=30$$. Sufficient..

Hope it's clear.
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Re: m01 - Q 20 [#permalink]

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07 Aug 2012, 23:07
B is right guys??!!!

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Re: m01 - Q 20 [#permalink]

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07 Aug 2012, 23:48
mehak89 wrote:
B is right guys??!!!

Correct answer is given in the first post under the spoiler.

Revised version of this question is given in the post above yours: m01-q-75464.html#p1105999
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Re: m01 - Q 20   [#permalink] 07 Aug 2012, 23:48
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