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If Jim saved a total of $90 in three weeks, how much did he [#permalink]
05 May 2010, 12:14

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

30% (01:37) correct
70% (00:22) wrong based on 10 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.

Re: How much did Jim save in week 2? [#permalink]
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".

Re: How much did Jim save in week 2? [#permalink]
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.
_________________

Re: How much did Jim save in week 2? [#permalink]
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.

Re: How much did Jim save in week 2? [#permalink]
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

Re: How much did Jim save in week 2? [#permalink]
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.
_________________