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# Material A costs $3 per kilogram, and material B costs$5

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Manager
Joined: 26 Jul 2010
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Location: India
Concentration: Operations, General Management
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Kudos [?]: 23 [0], given: 6

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 AM i correct _________________ lets start again  Kaplan GMAT Prep Discount Codes Knewton GMAT Discount Codes GMAT Pill GMAT Discount Codes Math Forum Moderator Joined: 20 Dec 2010 Posts: 2022 Followers: 145 Kudos [?]: 1298 [0], given: 376 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. _________________ SVP Joined: 16 Nov 2010 Posts: 1676 Location: United States (IN) Concentration: Strategy, Technology Followers: 32 Kudos [?]: 401 [0], given: 36 Re: Material A costs$3 per kilogram, and material B costs $5 [#permalink] 24 Apr 2011, 06:39 3x + 5y x + y = 10 (1) y > 4 But x = 5, y = 5 is possible y = 4.5 x = 5.5 is possible (2) 3x + 5y < 40 3(10 - y) + 5y < 40 2y < 10 y < 5 So x > y - sufficient Answer - B _________________ Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant) GMAT Club Premium Membership - big benefits and savings Director Joined: 01 Feb 2011 Posts: 758 Followers: 14 Kudos [?]: 81 [0], given: 42 Re: Material A costs$3 per kilogram, and material B costs $5 [#permalink] 24 Apr 2011, 07:11 1. Not sufficient y > 4 y 6 4.5 x 4 5.5 x<y x>y 2. Sufficient 3x +5y <40 30-3y+5y <40 y<5 y 4.5 4 x 5.5 6 x>y x>y Answer is B. Manager Status: ==GMAT Ninja== Joined: 08 Jan 2011 Posts: 247 Schools: ISB, IIMA ,SP Jain , XLRI WE 1: Aditya Birla Group (sales) WE 2: Saint Gobain Group (sales) Followers: 5 Kudos [?]: 60 [1] , given: 46 Re: Material A costs$3 per kilogram, and material B costs $5 [#permalink] 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

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Re: Material A costs $3 per kilogram, and material B costs$5 [#permalink]  25 Oct 2011, 06:01
fluke wrote:
Warlock007 wrote:
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

You are correct. I just abortively tried to make a point.

Fluke? why is the correct answer B? From your previous post I understood that it is E.

I agree with your previous post where you said that it should have said "it consists of ONLY x and y..." to be correct.

Could you please elaborate on that?
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Re: Material A costs $3 per kilogram, and material B costs$5 [#permalink]  25 Oct 2011, 08:56
SonyGmat wrote:
Fluke? why is the correct answer B? From your previous post I understood that it is E.

I agree with your previous post where you said that it should have said "it consists of ONLY x and y..." to be correct.

Could you please elaborate on that?

Precisely so. Answer should be "E" as per my interpretation of the wordings. I just surrendered half-heartedly to "B" :D

I recommend you skip this question. GMAT's wordings will be very precise and without ambiguity.
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Re: Material A costs $3 per kilogram, and material B costs$5 [#permalink]  11 Dec 2011, 09:13
This is an og problem DS 101 12th edition.
Ans. B
subhashghosh did good job.
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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.

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.

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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.

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.

The OA for this question is B, not E.

Open discussion of the question is here: material-a-costs-3-per-kilogram-and-material-b-costs-82349.html

In case of any question please continue discussion there.
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Re: Material A costs $3 per kilogram, and material B costs$5 [#permalink]  13 Oct 2014, 07:24
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Re: Material A costs $3 per kilogram, and material B costs$5   [#permalink] 13 Oct 2014, 07:24

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