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Re: Material A costs $3 per kilogram, and material B costs $5 per kilogram [#permalink]

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21 Sep 2010, 10:33

udaymathapati wrote:

Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y? (1) y > 4 (2) The cost of the 10 kilograms of material K is less than $40.

I did it slightly differently.

We know x + y = 10...

(1) Clearly insufficient. (2) If x = y = 5, then the 10kg of material K costs ($3*5) + ($5*5) = $40. Since x costs less than y, the more you increase x, the less material K will cost. So if K costs less than $40, x must be greater than 5, and so y is less than 5. Sufficient.

Re: Material A costs $3 per kilogram, and material B costs $5 [#permalink]

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22 Apr 2011, 22:50

tejal777 wrote:

Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y? (1) y > 4 (2) The cost of the 10 kilograms of material K is less than $40.

umm...(D) is it??

(1) y>4 y=4.1kg; x=4.2kg x=4.2kg; y=4.2kg Not Sufficient.

(2) y=1kg; x=2kg; cost=2*3+1*5=11<40 y=2kg; x=1kg; cost=2*1+2*5=12<40 Not Sufficient.

Combining both: y=4.5;x=5; cost=5*3+4.5*5=15+22.5=37.5<40 y=5;x=1; cost=1*3+5*5=3+25=28<40 Not Sufficient.

Ans:"E"

P.S.: It is not given that material k contains ONLY material A and B. Had it been given, "B" alone would have sufficed.
_________________

Re: Material A costs $3 per kilogram, and material B costs $5 [#permalink]

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23 Apr 2011, 01:54

fluke wrote:

tejal777 wrote:

Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y? (1) y > 4 (2) The cost of the 10 kilograms of material K is less than $40.

umm...(D) is it??

(1) y>4 y=4.1kg; x=4.2kg x=4.2kg; y=4.2kg Not Sufficient.

(2) y=1kg; x=2kg; cost=2*3+1*5=11<40 y=2kg; x=1kg; cost=2*1+2*5=12<40 Not Sufficient.

Combining both: y=4.5;x=5; cost=5*3+4.5*5=15+22.5=37.5<40 y=5;x=1; cost=1*3+5*5=3+25=28<40 Not Sufficient.

Ans:"E"

P.S.: It is not given that material k contains ONLY material A and B. Had it been given, "B" alone would have sufficed.

if it says item k consist of A and B i hope it means it consists of a and b only otherwise so many GMAT would have answer as E

this question will too simple to answer if assume what you are saying

Re: Material A costs $3 per kilogram, and material B costs $5 [#permalink]

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23 Apr 2011, 02:20

kamalkicks wrote:

if it says item k consist of A and B i hope it means it consists of a and b only otherwise so many GMAT would have answer as E

this question will too simple to answer if assume what you are saying

AM i correct

My intention is not to debunk this question as many agree with the OA to be "B", making your interpretation correct . But it would definitely be less ambiguous if the author mentioned the fact explicitly, at least for me.

I consider all of the three statements correct: Sulphuric Acid, \(H_2SO_4\), consists hydrogen and sulphur. Water, \(H_2O\), consists only hydrogen and oxygen. Water, \(H_2O\), consists hydrogen and oxygen.
_________________

Re: Material A costs $3 per kilogram, and material B costs $5 per kilogram [#permalink]

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23 Apr 2011, 04:13

1

This post received KUDOS

The question can be rephrased as - x > y? Or (10 - y) > y Or y < 5 ?

Is y < 5 ?

1. Insufficient. y can be 6 or y can be 4.5 2. 3x + 5y < 40 and we know that x = 10 - y 3(10- y) + 5y < 40 30 -3y + 5y < 40 2y < 10 y < 5 Sufficient

Answer B

udaymathapati wrote:

Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y? (1) y > 4 (2) The cost of the 10 kilograms of material K is less than $40.

Re: Material A costs $3 per kilogram, and material B costs $5 per kilogram [#permalink]

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23 Apr 2011, 06:58

Statement 1 - Not possible to get any single answer as y could be 4.5 or even 5.5 Statement 2 - If x=y, then the cost of 10 kgs would be 40 If it is less than 40 means that quantity of y (higher priced item) is less than X (lower priced)

So with statement B, a unique solution can be derived

Re: Material A costs $3 per kilogram, and material B costs $5 [#permalink]

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24 Apr 2011, 10:52

1

This post received KUDOS

fluke wrote:

tejal777 wrote:

Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y? (1) y > 4 (2) The cost of the 10 kilograms of material K is less than $40.

umm...(D) is it??

(1) y>4 y=4.1kg; x=4.2kg x=4.2kg; y=4.2kg Not Sufficient.

(2) y=1kg; x=2kg; cost=2*3+1*5=11<40 y=2kg; x=1kg; cost=2*1+2*5=12<40 Not Sufficient.

Combining both: y=4.5;x=5; cost=5*3+4.5*5=15+22.5=37.5<40 y=5;x=1; cost=1*3+5*5=3+25=28<40 Not Sufficient.

Ans:"E"

P.S.: It is not given that material k contains ONLY material A and B. Had it been given, "B" alone would have sufficed.

Dear Fluke now that we have that the total quantity is 10 kg so clearly y=10-x so total cost of the mixture 3x+5(10-x)=50-2x

(1) y>4 i.e. 10-x>4 so x<6 clearly there can be values of both x & y =5 so in this case x=y no sufficient

(2) says 50-2x<40 so x>5 so by this we get y<5 so clearly y<x to make the cost less than 40

B is the answer

please correct me
_________________

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Re: Material A costs $3 per kilogram, and material B costs $5 [#permalink]

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16 Feb 2012, 07:08

tejal777 wrote:

Ohh!! People this is why I bow down to this forum...Thank you..!

Tejal: Please don't get bow down.

The answere is E.

Take 1st statement:

X= 5.1 and Y= 4.9, here X>Y X= 5 and Y=5 X=Y X=4 and Y= 6 X<Y

Hence 1 is not sufficient

Take Statement 2: 3X+4Y< 40

Lets take X=6 and Y=4 total cost = 34<40

Take x= 4 and Y= 6 Total Cost= 38<40

Cannot determined x and y,henec not sufficient

Combine both:

Y=5,X=5 3X+4Y= 33<40

Y= 4.1 X= 5.9 3X+4Y= 34.1 <40

Not sufficient.

Some of my friends have argued that there is nothing mentioned like mixture consists of only A and B. This factor would add further uncertainity. Hence E is the best answere according to me.

Ohh!! People this is why I bow down to this forum...Thank you..!

Tejal: Please don't get bow down.

The answere is E.

Take 1st statement:

X= 5.1 and Y= 4.9, here X>Y X= 5 and Y=5 X=Y X=4 and Y= 6 X<Y

Hence 1 is not sufficient

Take Statement 2: 3X+4Y< 40

Lets take X=6 and Y=4 total cost = 34<40

Take x= 4 and Y= 6 Total Cost= 38<40

Cannot determined x and y,henec not sufficient

Combine both:

Y=5,X=5 3X+4Y= 33<40

Y= 4.1 X= 5.9 3X+4Y= 34.1 <40

Not sufficient.

Some of my friends have argued that there is nothing mentioned like mixture consists of only A and B. This factor would add further uncertainity. Hence E is the best answere according to me.

Re: Material A costs $3 per kilogram, and material B costs $5 [#permalink]

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