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If Jim saved a total of $90 in three weeks, how much did he

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If Jim saved a total of $90 in three weeks, how much did he [#permalink] New post 05 May 2010, 12:14
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

36% (01:42) correct 64% (00:22) wrong based on 11 sessions
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

The answer is B

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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Re: How much did Jim save in week 2? [#permalink] New post 05 May 2010, 20:59
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

The answer is B

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".
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Re: How much did Jim save in week 2? [#permalink] New post 05 May 2010, 21:23
Expert's post
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

The answer is B

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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Re: How much did Jim save in week 2? [#permalink] New post 06 May 2010, 08:08
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

The answer is B

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] New post 04 Jun 2011, 01:10
even I found this Q on gmat club app on my iphone, please make the corrections :shock:
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Re: How much did Jim save in week 2? [#permalink] New post 04 Jun 2011, 10:49
yes, the question needs modification.
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Re: How much did Jim save in week 2? [#permalink] New post 04 Jun 2011, 15:13
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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Re: How much did Jim save in week 2? [#permalink] New post 04 Jun 2011, 15:49
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] New post 06 Jun 2011, 02:41
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, 02:41
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