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A sporting goods store received a shipment of baseball glove [#permalink]
03 May 2013, 02:08

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Difficulty:

95% (hard)

Question Stats:

32% (02:34) correct
68% (01:55) wrong based on 172 sessions

A sporting goods store received a shipment of baseball gloves that included 5 brown gloves for every 6 black gloves. Did the store receive at least 250 gloves in the shipment?

(1) 44% of the left-handed gloves in the shipment were black.

(2) The shipment included 84 black, right-handed gloves.

Re: A sporting goods store received a shipment of baseball glove [#permalink]
03 May 2013, 04:01

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A sporting goods store received a shipment of baseball gloves that included 5 brown gloves for every 6 black gloves. Did the store receive at least 250 gloves in the shipment?

Given: Black:Brown=6x:5x, so the # of black gloves is a multiple of 6 and # of brown gloves is a multiple of 5.

(1) 44% of the left-handed gloves in the shipment were black --> 44%=11/25 of left-handed gloves are black, thus the # of left-handed gloves is a multiple of 25. Not sufficient.

(2) The shipment included 84 black, right-handed gloves. Also not sufficient.

(1)+(2) We have the following matrix:

Attachment:

(1)+(2).png [ 4.44 KiB | Viewed 2172 times ]

Notice that we have that \(84+\frac{11Y}{25}=6X\).

Now, since both 84 and 6x are multiples of 6, then \(\frac{11Y}{25}\) must also be a multiple of 6, which means that Y must be both multiple of 25 and 6, or a multiple of 150 (LCM of 25 and 6). Thus the least value of Y is 150. In this case \(84+\frac{11*150}{25}=150=6x\) --> \(X_{min}=25\) --> \(Total=6X+5X=11x=275>250\). Sufficient.

---------------------------------------- Please press \(+1 Kudos\)if my post helps you.

That's not correct.

First of all, we cannot get the exact number of the gloves in the shipment. Next, the # of gloves MUST be a multiple of 11, so the # of gloves cannot be 258.

Re: A sporting goods store received a shipment of baseball glove [#permalink]
03 May 2013, 06:40

1

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thelosthippie wrote:

A sporting goods store received a shipment of baseball gloves that included 5 brown gloves for every 6 black gloves. Did the store receive at least 250 gloves in the shipment?

(1) 44% of the left-handed gloves in the shipment were black.

(2) The shipment included 84 black, right-handed gloves.

Bunuel,I feel this question is a bit out of place for GMAT, ONLY because it requires one to know that baseball glvoes don't come in pairs.Your take? _________________

Re: A sporting goods store received a shipment of baseball glove [#permalink]
03 May 2013, 06:55

1

This post received KUDOS

Expert's post

vinaymimani wrote:

thelosthippie wrote:

A sporting goods store received a shipment of baseball gloves that included 5 brown gloves for every 6 black gloves. Did the store receive at least 250 gloves in the shipment?

(1) 44% of the left-handed gloves in the shipment were black.

(2) The shipment included 84 black, right-handed gloves.

Bunuel,I feel this question is a bit out of place for GMAT, ONLY because it requires one to know that baseball glvoes don't come in pairs.Your take?

Yes, in baseball players wear only one glove, but not sure that this is a common knowledge, thus real GMAT question would probably make note about that. _________________

I just went through the complete thread...I didn't have any clue about baseball stuff.. So there cant be 5 brown and 6 black gloves..as they have to be in pairs(My assumption)..Hence I deduced the 10 -12 logic Same assumption for 2nd statement and you should get a D.. Not a GMAT type question..No body outside US follows baseball(I believe) _________________

Appreciate the efforts...KUDOS for all Don't let an extra chromosome get you down..

Re: A sporting goods store received a shipment of baseball glove [#permalink]
30 Jun 2014, 10:03

Hi Bunuel,

please correct me ....

A is not sufficient since we don't know the exact number of the total left hand gloves.

for B if we know there are 84 right hand gloves, then there will be equivalent number of left hand side gloves. hence the total will be 168. Also, its given the ration of Brown to black 5:6 ... hence 140 another gloves .... this makes the total more than 250 .. sufficient .

For me answer should be B ... Can you please help me to understand this.

Re: A sporting goods store received a shipment of baseball glove [#permalink]
30 Jun 2014, 10:38

Expert's post

GmatDestroyer2013 wrote:

Hi Bunuel,

please correct me ....

A is not sufficient since we don't know the exact number of the total left hand gloves.

for B if we know there are 84 right hand gloves, then there will be equivalent number of left hand side gloves. hence the total will be 168. Also, its given the ration of Brown to black 5:6 ... hence 140 another gloves .... this makes the total more than 250 .. sufficient .

For me answer should be B ... Can you please help me to understand this.

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