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# The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B

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The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B  [#permalink]

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30 Jul 2017, 22:52
00:00

Difficulty:

85% (hard)

Question Stats:

30% (00:51) correct 70% (01:15) wrong based on 48 sessions

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The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B, C and D, which receive raw materials in the form of plastic. The plants have different efficiencies, and hence, different quantities of raw materials are wasted. The quantity of raw materials used by each plant and the number of toy units manufactured by the plants in a week are shown.

Does Plant B have the lowest rate of wastage of raw materials?

(1) All the plants manufacture the same and the identical toys.
(2) The weight of the toys manufactured in the plants A, B, C and D are in the ratio 2 : 2 : 3 : 4.

Attachment:

2017-07-31_0951.png [ 32.27 KiB | Viewed 1274 times ]

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Re: The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B  [#permalink]

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31 Jul 2017, 04:11
1
Bunuel wrote:
The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B, C and D, which receive raw materials in the form of plastic. The plants have different efficiencies, and hence, different quantities of raw materials are wasted. The quantity of raw materials used by each plant and the number of toy units manufactured by the plants in a week are shown.

Does Plant B have the lowest rate of wastage of raw materials?

(1) All the plants manufacture the same and the identical toys.
(2) The weight of the toys manufactured in the plants A, B, C and D are in the ratio 2 : 2 : 3 : 4.

Attachment:
2017-07-31_0951.png

Wastage rate of a plant = (Input- Output)/ Input
or Efficiency = Number of finished products(if products are identical) / Input raw material
We know the input weight of raw material for each of the plants .

(1) All the plants manufacture the same and the identical toys.

Efficiency = Number of finished products / input raw material (Since toys are identical )

for A = 100,000 / 400*10^3 = 1/4

B = 120,000/360*10^3 = 1/3

C= 50,000/250*10^3 = 1/5

D= 30,000/200*10^3 = 3/20

The plant with lowest ratio will have lowest efficieny . In this case plant D .
Sufficient

(2) The weight of the toys manufactured in the plants A, B, C and D are in the ratio 2 : 2 : 3 : 4.
Since we know the ratio weights of the finished products , we can calculate the efficieny ratio .
For simplicity , we can assume that weights per unit of toy from A , B , C and D are 2 kg , 2 kg , 3 kg and 4 kg

Efficiency for A = 2*1/4 = 1/2
B = 2*1/3 = 2/3
C = 3*1/5 = 3/5
D = 4*3/20 = 12/20 = 3/5

The plant with lowest ratio is A .

Sufficient

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Re: The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B  [#permalink]

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31 Jul 2017, 05:09
Skywalker18 wrote:
Bunuel wrote:
The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B, C and D, which receive raw materials in the form of plastic. The plants have different efficiencies, and hence, different quantities of raw materials are wasted. The quantity of raw materials used by each plant and the number of toy units manufactured by the plants in a week are shown.

Does Plant B have the lowest rate of wastage of raw materials?

(1) All the plants manufacture the same and the identical toys.
(2) The weight of the toys manufactured in the plants A, B, C and D are in the ratio 2 : 2 : 3 : 4.

Attachment:
2017-07-31_0951.png

Wastage rate of a plant = (Input- Output)/ Input
or Efficiency = Number of finished products(if products are identical) / Input raw material
We know the input weight of raw material for each of the plants .

(1) All the plants manufacture the same and the identical toys.

Efficiency = Number of finished products / input raw material (Since toys are identical )

for A = 100,000 / 400*10^3 = 1/4

B = 120,000/360*10^3 = 1/3

C= 50,000/250*10^3 = 1/5

D= 30,000/200*10^3 = 3/20

The plant with lowest ratio will have lowest efficieny . In this case plant D .
Sufficient

(2) The weight of the toys manufactured in the plants A, B, C and D are in the ratio 2 : 2 : 3 : 4.
Since we know the ratio weights of the finished products , we can calculate the efficieny ratio .
For simplicity , we can assume that weights per unit of toy from A , B , C and D are 2 kg , 2 kg , 3 kg and 4 kg

Efficiency for A = 2*1/4 = 1/2
B = 2*1/3 = 2/3
C = 3*1/5 = 3/5
D = 4*3/20 = 12/20 = 3/5

The plant with lowest ratio is A .

Sufficient

For the answer to be D, shouldn't the answer from statement 1 and 2 be consistent with each other?
According to this calculation, from statement 1, Plant D has the least efficiency.
According to statement 2, plant A has the least efficiency.

Also, statement 1 and 2 go against each other right?
One says products are identical, other says weights are different.
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Re: The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B  [#permalink]

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31 Jul 2017, 07:04
sarathgopinath wrote:
Skywalker18 wrote:
Bunuel wrote:
The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B, C and D, which receive raw materials in the form of plastic. The plants have different efficiencies, and hence, different quantities of raw materials are wasted. The quantity of raw materials used by each plant and the number of toy units manufactured by the plants in a week are shown.

Does Plant B have the lowest rate of wastage of raw materials?

(1) All the plants manufacture the same and the identical toys.
(2) The weight of the toys manufactured in the plants A, B, C and D are in the ratio 2 : 2 : 3 : 4.

Attachment:
2017-07-31_0951.png

Wastage rate of a plant = (Input- Output)/ Input
or Efficiency = Number of finished products(if products are identical) / Input raw material
We know the input weight of raw material for each of the plants .

(1) All the plants manufacture the same and the identical toys.

Efficiency = Number of finished products / input raw material (Since toys are identical )

for A = 100,000 / 400*10^3 = 1/4

B = 120,000/360*10^3 = 1/3

C= 50,000/250*10^3 = 1/5

D= 30,000/200*10^3 = 3/20

The plant with lowest ratio will have lowest efficieny . In this case plant D .
Sufficient

(2) The weight of the toys manufactured in the plants A, B, C and D are in the ratio 2 : 2 : 3 : 4.
Since we know the ratio weights of the finished products , we can calculate the efficieny ratio .
For simplicity , we can assume that weights per unit of toy from A , B , C and D are 2 kg , 2 kg , 3 kg and 4 kg

Efficiency for A = 2*1/4 = 1/2
B = 2*1/3 = 2/3
C = 3*1/5 = 3/5
D = 4*3/20 = 12/20 = 3/5

The plant with lowest ratio is A .

Sufficient

For the answer to be D, shouldn't the answer from statement 1 and 2 be consistent with each other?
According to this calculation, from statement 1, Plant D has the least efficiency.
According to statement 2, plant A has the least efficiency.

Also, statement 1 and 2 go against each other right?
One says products are identical, other says weights are different.

I agree for the same reason.
May be I miss something..
Experts kindly help.

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Re: The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B  [#permalink]

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31 Jul 2017, 14:14
Pay close attention to the Wordplay here:
Same and identical doesn't mean size dimensions

Efficiency = (Wt of Finished product)/ (Wt of Raw Material)
= (Number of Finished product * Individual Wt)/ (Wt of Raw Material)
Eff (A) = (100,000 * 2x)/ 400 and so on and so forth for B, C, D
Mind you this metric is unit less, nevertheless enables a comparison between different factories

Intern
Joined: 04 Jan 2017
Posts: 9
Re: The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B  [#permalink]

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06 Aug 2017, 08:23
Pay close attention to the Wordplay here:
Same and identical doesn't mean size dimensions

Efficiency = (Wt of Finished product)/ (Wt of Raw Material)
= (Number of Finished product * Individual Wt)/ (Wt of Raw Material)
Eff (A) = (100,000 * 2x)/ 400 and so on and so forth for B, C, D
Mind you this metric is unit less, nevertheless enables a comparison between different factories

The answer from statement 1 is YES because Plant B comes out to be the most efficient plant.
and the answer from statement 2 comes out to YES as Plant B has the highest efficiency ratio (2/3).
So the answer should be D .
I'm new here please tell me if I am wrong.
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Re: The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B  [#permalink]

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15 Aug 2017, 21:17
Bunuel wrote:
The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B, C and D, which receive raw materials in the form of plastic. The plants have different efficiencies, and hence, different quantities of raw materials are wasted. The quantity of raw materials used by each plant and the number of toy units manufactured by the plants in a week are shown.

Does Plant B have the lowest rate of wastage of raw materials?

(1) All the plants manufacture the same and the identical toys.
(2) The weight of the toys manufactured in the plants A, B, C and D are in the ratio 2 : 2 : 3 : 4.

Attachment:
2017-07-31_0951.png

Quick question: in a typical DS question, the data points are never conflicting or contradicting. Statement 1 says the plants manufacture same and identical toys and in Statement 2 weights of these toys are different. If the toys are same and identical why are their weights different?

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THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B   [#permalink] 15 Aug 2017, 21:17
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