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What was the number of defective batteries in a shipment of

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What was the number of defective batteries in a shipment of  [#permalink]

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New post Updated on: 31 Mar 2012, 11:42
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What was the number of defective batteries in a shipment of 4000 batteries ?

(1) In a particular sample of 10 batteries selected from the shipment 1 was defective.
(2) In a particulare sample of 100 batteries selected from the shipment, 3 were defective.

Originally posted by patanahi on 16 Apr 2011, 09:15.
Last edited by Bunuel on 31 Mar 2012, 11:42, edited 1 time in total.
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Re: Shipment of batteries (source gmat paper test)  [#permalink]

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New post 16 Apr 2011, 20:11
(1) indicates 10% of batteries are defective

(2) indicates 3% of batteries are defective.

However, these are inconsistent, so we don't know for sure which of these two is full and accurate representation of shipment quality.

Answer - E.
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Re: Shipment of batteries (source gmat paper test)  [#permalink]

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New post 17 Apr 2011, 06:49
subhashghosh wrote:
(1) indicates 10% of batteries are defective

(2) indicates 3% of batteries are defective.

However, these are inconsistent, so we don't know for sure which of these two is full and accurate representation of shipment quality.

Answer - E.



Thank you for clarifying . By mistake , I selected D, since each answers represent the % for batteries. :lol:
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Re: Shipment of batteries (source gmat paper test)  [#permalink]

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New post 22 Apr 2011, 18:52
1
1. Not sufficient.

sample of 10 items has 1 defective item. that doesnt tell us anything about the rest of the 4990 items.we may or may not have defective items in the rest.

2. Not sufficient.

sample of 100 items has 3 defective items. that doesnt tell us anything about the rest of 3900 items. we may or may not have defective items in the rest.

together , still not sufficient as we only about the defective items in a 100 item sample . we still dont know aything about the rest of the items.

Answer is E.
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Re: Shipment of batteries (source gmat paper test)  [#permalink]

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New post 31 Mar 2012, 10:37
subhashghosh wrote:
(1) indicates 10% of batteries are defective

(2) indicates 3% of batteries are defective.

However, these are inconsistent, so we don't know for sure which of these two is full and accurate representation of shipment quality.

Answer - E.



Is this interpretation correct
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Re: Shipment of batteries (source gmat paper test)  [#permalink]

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New post 31 Mar 2012, 11:47
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GMATD11 wrote:
subhashghosh wrote:
(1) indicates 10% of batteries are defective

(2) indicates 3% of batteries are defective.

However, these are inconsistent, so we don't know for sure which of these two is full and accurate representation of shipment quality.

Answer - E.



Is this interpretation correct


No, it's not. We can not extrapolate the data on some particular sample to all shipment.

What was the number of defective batteries in a shipment of 4000 batteries ?

(1) In a particular sample of 10 batteries selected from the shipment 1 was defective --> just tells us that there is at least 1 defective battery in the shipment of 4000 batteries. Not sufficient.

(2) In a particulare sample of 100 batteries selected from the shipment, 3 were defective --> just tells us that there are at least 3 defective batteries in the shipment of 4000 batteries. Not sufficient.

(1)+(2) All we know is that there are at least 3 defective batteries in the shipment of 4000 batteries. Not sufficient.

Answer; E.
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Re: What was the number of defective batteries in a shipment of  [#permalink]

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New post 01 Apr 2018, 22:50
patanahi wrote:
What was the number of defective batteries in a shipment of 4000 batteries ?

(1) In a particular sample of 10 batteries selected from the shipment 1 was defective.
(2) In a particulare sample of 100 batteries selected from the shipment, 3 were defective.


Option E

Because the question does not mention that the sample is an actual representaion of the whole lot.
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Re: What was the number of defective batteries in a shipment of  [#permalink]

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New post 21 Jan 2019, 07:25
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patanahi wrote:
What was the number of defective batteries in a shipment of 4000 batteries ?

(1) In a particular sample of 10 batteries selected from the shipment 1 was defective.
(2) In a particulare sample of 100 batteries selected from the shipment, 3 were defective.


Target question: What was the number of defective batteries in a shipment of 4000 batteries?

Statement 1: In a particular sample of 10 batteries selected from the shipment, 1 was defective.
Don't make the mistake of assuming that this means 1/10 of ALL batteries are defective. There's no reason to assume this.
There are several scenarios that satisfy statement 1. Here are two:
Case a: There's 1 defective battery in the 10-battery sample, and 0 defective batteries in the remaining 3990 batteries. In this case, the answer to the target question is there's ONE defective battery in the shipment of 4000 batteries
Case b: There's 1 defective battery in the 10-battery sample, and 2 defective batteries in the remaining 3990 batteries. In this case, the answer to the target question is there are THREE defective batteries in the shipment of 4000 batteries
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: In a particular sample of 100 batteries selected from the shipment, 3 were defective.
There are several scenarios that satisfy statement 2. Here are two:
Case a: There are 3 defective batteries in the 100-battery sample, and 0 defective batteries in the remaining 3900 batteries. In this case, the answer to the target question is there are THREE defective batteries in the shipment of 4000 batteries
Case b: There are 3 defective batteries in the 100-battery sample, and 2 defective batteries in the remaining 3900 batteries. In this case, the answer to the target question is there are FIVE defective batteries in the shipment of 4000 batteries
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
There are several scenarios that satisfy BOTH statements. Here are two:
Case a: 1 defective battery in 1st sample, 3 defective batteries in 2nd sample, and 0 defective batteries in the remaining 3890 batteries. In this case, the answer to the target question is there are FOUR defective batteries in the shipment of 4000 batteries
Case b: 1 defective battery in 1st sample, 3 defective batteries in 2nd sample, and 4 defective batteries in the remaining 3890 batteries. In this case, the answer to the target question is there are EIGHT defective batteries in the shipment of 4000 batteries
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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Brent
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Re: What was the number of defective batteries in a shipment of   [#permalink] 21 Jan 2019, 07:25
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