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Re: Material A costs $3 per kilogram, and material B costs $5 per kilogram [#permalink]
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]
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]
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]
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]
23 Apr 2011, 04:13
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]
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]
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.
Re: Material A costs $3 per kilogram, and material B costs $5 [#permalink]
16 Feb 2012, 08:45
Expert's post
jaymin1986 wrote:
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.
Re: Material A costs $3 per kilogram, and material B costs $5 [#permalink]
13 Oct 2014, 07:24
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