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

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05 May 2010, 12:14

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

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.

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".

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.
_________________

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.

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

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.
_________________