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# If Jim saved a total of $90 in three weeks, how much did he  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message Intern Joined: 30 Apr 2010 Posts: 24 Location: Texas Schools: University of Texas - TEMBA If Jim saved a total of$90 in three weeks, how much did he [#permalink]

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05 May 2010, 13:14
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Question Stats:

46% (01:30) correct 54% (00:22) wrong based on 36 sessions

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If Jim saved a total of $90 in three 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

A. 1 alone is Sufficient
B. 2 alone is Sufficient
C. Statements together are Sufficient
D. Each alone is Sufficient
E. Neither is Sufficient

Even though I got the correct answer, what I don’t understand is how statement one is true. Statement 1 should say “Jim’s average savings for the first 2 weeks were $22.50” not “Jim’s average savings for the first 2 weeks were$20.” Am I’m missing something?

1 is not sufficient. S1 + S2 = 40. Although S3 can be calculated, the value of S2 cannot be calculated. Consider S1 = 20 and S2 = 20 or S1 = 5 and S2 = 35

2 is sufficient. S2 = 2*S1 and S3 = 3*S1

S1 + 2*S1 + s*S1 = $90 6*S1 =$90

S1 = $15 S2 =$30

I found this question on the MBA Toolkit App: Hard 700+ GMAT Quantitative Questions from GMAT Club Tests.
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Joined: 01 Feb 2010
Posts: 264
Re: How much did Jim save in week 2? [#permalink]

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05 May 2010, 21:59
TXTDryFly wrote:
If Jim saved a total of $90 in three 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

A. 1 alone is Sufficient
B. 2 alone is Sufficient
C. Statements together are Sufficient
D. Each alone is Sufficient
E. Neither is Sufficient

Even though I got the correct answer, what I don’t understand is how statement one is true. Statement 1 should say “Jim’s average savings for the first 2 weeks were $22.50” not “Jim’s average savings for the first 2 weeks were$20.” Am I’m missing something?

1 is not sufficient. S1 + S2 = 40. Although S3 can be calculated, the value of S2 cannot be calculated. Consider S1 = 20 and S2 = 20 or S1 = 5 and S2 = 35

2 is sufficient. S2 = 2*S1 and S3 = 3*S1

S1 + 2*S1 + s*S1 = $90 6*S1 =$90

S1 = $15 S2 =$30

I found this question on the MBA Toolkit App: Hard 700+ GMAT Quantitative Questions from GMAT Club Tests.

I didn't get your point here "Even though I got the correct answer, what I don’t understand is how statement one is true. Statement 1 should say “Jim’s average savings for the first 2 weeks were $22.50” not “Jim’s average savings for the first 2 weeks were$20.” Am I’m missing something? "
1 is not not sufficient as explained by you and 2 is sufficient again as explained by you.
And correct answer is B which means "only II is sufficient to answer alone and 1 is not sufficient to answer alone".
Math Expert
Joined: 02 Sep 2009
Posts: 39678
Re: How much did Jim save in week 2? [#permalink]

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05 May 2010, 22:23
TXTDryFly wrote:
If Jim saved a total of $90 in three 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

Even though I got the correct answer, what I don’t understand is how statement one is true. Statement 1 should say “Jim’s average savings for the first 2 weeks were $22.50” not “Jim’s average savings for the first 2 weeks were$20.” Am I’m missing something?

1 is not sufficient. S1 + S2 = 40. Although S3 can be calculated, the value of S2 cannot be calculated. Consider S1 = 20 and S2 = 20 or S1 = 5 and S2 = 35

2 is sufficient. S2 = 2*S1 and S3 = 3*S1

S1 + 2*S1 + s*S1 = $90 6*S1 =$90

S1 = $15 S2 =$30

I found this question on the MBA Toolkit App: Hard 700+ GMAT Quantitative Questions from GMAT Club Tests.

Yes, you are right. Statements contradict, which never happens in real GMAT questions.

If statement (1) were "Jim’s average savings for the first 2 weeks were $22.5$" (as you suggested), then there would be no problem with this question.
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Joined: 30 Apr 2010
Posts: 24
Location: Texas
Schools: University of Texas - TEMBA
Re: How much did Jim save in week 2? [#permalink]

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06 May 2010, 09:08
bangalorian2000 wrote:
TXTDryFly wrote:
If Jim saved a total of $90 in three 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

A. 1 alone is Sufficient
B. 2 alone is Sufficient
C. Statements together are Sufficient
D. Each alone is Sufficient
E. Neither is Sufficient

Even though I got the correct answer, what I don’t understand is how statement one is true. Statement 1 should say “Jim’s average savings for the first 2 weeks were $22.50” not “Jim’s average savings for the first 2 weeks were$20.” Am I’m missing something?

1 is not sufficient. S1 + S2 = 40. Although S3 can be calculated, the value of S2 cannot be calculated. Consider S1 = 20 and S2 = 20 or S1 = 5 and S2 = 35

2 is sufficient. S2 = 2*S1 and S3 = 3*S1

S1 + 2*S1 + s*S1 = $90 6*S1 =$90

S1 = $15 S2 =$30

I found this question on the MBA Toolkit App: Hard 700+ GMAT Quantitative Questions from GMAT Club Tests.

I didn't get your point here "Even though I got the correct answer, what I don’t understand is how statement one is true. Statement 1 should say “Jim’s average savings for the first 2 weeks were $22.50” not “Jim’s average savings for the first 2 weeks were$20.” Am I’m missing something? "
1 is not not sufficient as explained by you and 2 is sufficient again as explained by you.
And correct answer is B which means "only II is sufficient to answer alone and 1 is not sufficient to answer alone".

My point was that DS statements are always true. Statement #1 is not true.
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Re: How much did Jim save in week 2? [#permalink]

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04 Jun 2011, 02:10
even I found this Q on gmat club app on my iphone, please make the corrections
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Re: How much did Jim save in week 2? [#permalink]

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04 Jun 2011, 11:49
yes, the question needs modification.
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Re: How much did Jim save in week 2? [#permalink]

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04 Jun 2011, 16:13
Yes. This problem needs correction. Even though we can arrive at the answer , it gives two contradictory statements which will never happen in GMAT.

From the statement 2 and stem we can find the first , second and third weeks savings as 15,30 and 45
respectively. And that makes the average of first two weeks 22.5 which contradicts with statement 1

first statement needs to say something like this...

1. the average of first and second weeks average is 22.5
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Joined: 20 Dec 2010
Posts: 2010
Re: How much did Jim save in week 2? [#permalink]

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04 Jun 2011, 16:49
Spidy001 wrote:
Yes. This problem needs correction. Even though we can arrive at the answer , it gives two contradictory statements which will never happen in GMAT.

From the statement 2 and stem we can find the first , second and third weeks savings as 15,30 and 45
respectively. And that makes the average of first two weeks 22.5 which contradicts with statement 1

first statement needs to say something like this...

1. the average of first and second weeks average is 22.5

Concern acknowledged. Necessary action will be taken to rectify the discrepancy.
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Re: How much did Jim save in week 2? [#permalink]

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06 Jun 2011, 03:41
b x1= 0.5x2 = 0.33x3
where x1,x2 and x3 are the respective savings for the weeks.

thus x1+x2+x3 = 90 in this x1 can be found out.

B it is.
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Re: How much did Jim save in week 2?   [#permalink] 06 Jun 2011, 03:41
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