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A sporting goods store received a shipment of baseball glove [#permalink]
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03 May 2013, 03:08
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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? (1) 44% of the lefthanded gloves in the shipment were black. (2) The shipment included 84 black, righthanded gloves.
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A sporting goods store received a shipment of baseball glove [#permalink]
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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 lefthanded gloves in the shipment were black > 44%=11/25 of lefthanded gloves are black, thus the # of lefthanded gloves is a multiple of 25. Not sufficient. (2) The shipment included 84 black, righthanded gloves. Also not sufficient. (1)+(2) We have the following matrix: 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. Answer: C. Hope it's clear. Attachment:
(1)+(2).png [ 4.44 KiB  Viewed 5345 times ]
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Re: A sporting goods store received a shipment of baseball glove [#permalink]
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03 May 2013, 05:10
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1) Not sufficient.As we don't know anything on right handed gloves. 2) Not sufficient.
Combining both :
Let the total no of gloves be 200x. 100x for left hand and 100x for right hand.
For right hand: black gloves = 84 brown gloves = 100x  84.
For left hand : black gloves = 44x brown gloves = 100x  44x = 56x
So total no of black gloves = 84 + 44x total no of brown gloves = 100x  84 + 56x = 156x  84.
Then, (84 + 44x)/(156x  84) = 6/5 => x = 924/716 => 200x = 258
Ans : Option C.
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Re: A sporting goods store received a shipment of baseball glove [#permalink]
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03 May 2013, 05:15
subhendu009 wrote: 1) Not sufficient.As we don't know anything on right handed gloves. 2) Not sufficient.
Combining both :
Let the total no of gloves be 200x. 100x for left hand and 100x for right hand.
For right hand: black gloves = 84 brown gloves = 100x  84.
For left hand : black gloves = 44x brown gloves = 100x  44x = 56x
So total no of black gloves = 84 + 44x total no of brown gloves = 100x  84 + 56x = 156x  84.
Then, (84 + 44x)/(156x  84) = 6/5 => x = 924/716 => 200x = 258
Ans : Option C.
 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. Check here: asportinggoodsstorereceivedashipmentofbaseballglove152090.html#p1220135 The least # of gloves is 275.
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Re: A sporting goods store received a shipment of baseball glove [#permalink]
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03 May 2013, 07:40
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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 lefthanded gloves in the shipment were black.
(2) The shipment included 84 black, righthanded 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?
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Re: A sporting goods store received a shipment of baseball glove [#permalink]
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Re: A sporting goods store received a shipment of baseball glove [#permalink]
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14 Jun 2014, 12:14
Total Gloves have to be a multiple of 10k + 12k..including right + left for both the colors Now A says it is a multiple of 25..so the least possible number where 22 and 25 meet (LCM) is above 250..A is suff B is also suff> 168 Black gloves + 168*5/6 = some number greater than or less than 250...suff D should be the answer
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Re: A sporting goods store received a shipment of baseball glove [#permalink]
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Re: A sporting goods store received a shipment of baseball glove [#permalink]
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14 Jun 2014, 12:50
Bunuel wrote: JusTLucK04 wrote: Total Gloves have to be a multiple of 10k + 12k..including right + left for both the colors Now A says it is a multiple of 25..so the least possible number where 22 and 25 meet (LCM) is above 250..A is suff B is also suff> 168 Black gloves + 168*5/6 = some number greater than or less than 250...suff D should be the answer From stem: the total # of gloves is a multiple of 11, not necessarily of 22. From (1): the # of lefthanded gloves is a multiple of 25, not the total # of gloves. From (2): the shipment included 84 black, righthanded gloves. How does it follow from this that there are 168 black gloves? Complete solution is here: asportinggoodsstorereceivedashipmentofbaseballglove152090.html#p1220135Hope it helps. 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)
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Re: A sporting goods store received a shipment of baseball glove [#permalink]
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30 Jun 2014, 11:03
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.



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Re: A sporting goods store received a shipment of baseball glove [#permalink]
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A sporting goods store received a shipment of baseball glove [#permalink]
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23 Nov 2015, 13:14
Bunuel 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?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 lefthanded gloves in the shipment were black > 44%=11/25 of lefthanded gloves are black, thus the # of lefthanded gloves is a multiple of 25. Not sufficient. (2) The shipment included 84 black, righthanded gloves. Also not sufficient. (1)+(2) We have the following matrix: 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. Answer: C. Hope it's clear. I thought I'd point out that Bunuel approach is sometimes known as the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it. Here, we have a population of baseball gloves, and the two characteristics are: lefthanded or righthanded  black or brown This question type is VERY COMMON on the GMAT, so be sure to master the technique. To learn more about the Double Matrix Method, watch our free video: http://www.gmatprepnow.com/module/gmat ... ems?id=919Cheers, Brent
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Re: A sporting goods store received a shipment of baseball glove [#permalink]
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29 Nov 2015, 16:36
Hi All, This DS question revolves around a ratio. In these situations, it's important to remember that ratio questions often come down to "multiples." We're given a starting ratio of Brown gloves to Black gloves = 5/6. We're told that Lefthanded and Righthanded gloves are ordered individually (which means that there's NO ratio governing the number of Left or Right). We're asked if the total number of gloves is at least 250? This is a YES/NO question. From the prompt, we KNOW that the number of Brown gloves MUST be a multiple of 5 and the number of Black gloves MUST be a multiple of 6… Fact 1: 44% of lefthanded gloves are Black. 44/100 = 11/25 lefthanded gloves are Black, so the minimum number of this type = 11 This means…. 56/100 = 14/25 lefthanded gloves are Brown, so the minimum number of this type = 14 We don't know the number (or color) of Righthanded gloves, which is a significant missing piece of information, so we could have ANY NUMBER of Righthanded Black and Righthanded Brown gloves (as long as those number properly complete the given ratio). For example: Brown Left = 14 Black Left = 11 Brown Right = 1 Black Right = 7 Total = 33 and the answer to the question is NO Brown Left = 14 Black Left = 11 Brown Right = 101 Black Right = 127 Total = 253 and the answer to the question is YES Fact 1 is INSUFFICENT Fact 2: 84 Black Righthanded Gloves Using the original ratio, this info tells us that there are a MINIMUM of 70 Brown gloves, so the MINIMUM TOTAL = 154 (answer is NO), but the total could be higher (e.g. in the 1000s, so the answer is YES. Fact 2 is INSUFFICIENT Combined, we know: Black Righthanded = 84 Brown Rightthanded = ??? Black Lefthanded = multiple of 11 Brown Lefthanded = multiple of 14 Total Brown = multiple of 5 Total Black = multiple of 6 Here's where things get a bit more complex: Since the Total Black must be a multiple of 6….84 + (multiple of 11) = (multiple of 6) The MINIMUM multiple of 11 that "fits" this factoid would be 66, so we'd have 84 + 66 = 150 Black gloves AT THE MINIMUM With those 150 Black gloves, we'd have to match the ratio in the prompt, so the Total number of Brown gloves would be 125 AT THE MINIMUM. So, we end up with a MINIMUM of 275 gloves; the answer to the question is ALWAYS YES. Final Answer: GMAT assassins aren't born, they're made, Rich
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A sporting goods store received a shipment of baseball glove [#permalink]
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30 Nov 2015, 05:38
EMPOWERgmatRichC wrote: Hi All, This DS question revolves around a ratio. In these situations, it's important to remember that ratio questions often come down to "multiples." We're given a starting ratio of Brown gloves to Black gloves = 5/6. We're told that Lefthanded and Righthanded gloves are ordered individually (which means that there's NO ratio governing the number of Left or Right). We're asked if the total number of gloves is at least 250? This is a YES/NO question. From the prompt, we KNOW that the number of Brown gloves MUST be a multiple of 5 and the number of Black gloves MUST be a multiple of 6… Fact 1: 44% of lefthanded gloves are Black. 44/100 = 11/25 lefthanded gloves are Black, so the minimum number of this type = 11 This means…. 56/100 = 14/25 lefthanded gloves are Brown, so the minimum number of this type = 14 We don't know the number (or color) of Righthanded gloves, which is a significant missing piece of information, so we could have ANY NUMBER of Righthanded Black and Righthanded Brown gloves (as long as those number properly complete the given ratio). For example: Brown Left = 14 Black Left = 11 Brown Right = 1 Black Right = 7 Total = 33 and the answer to the question is NO Brown Left = 14 Black Left = 11 Brown Right = 101 Black Right = 127 Total = 253 and the answer to the question is YES Fact 1 is INSUFFICENT Fact 2: 84 Black Righthanded Gloves Using the original ratio, this info tells us that there are a MINIMUM of 70 Brown gloves, so the MINIMUM TOTAL = 154 (answer is NO), but the total could be higher (e.g. in the 1000s, so the answer is YES. Fact 2 is INSUFFICIENTCombined, we know: Black Righthanded = 84 Brown Rightthanded = ??? Black Lefthanded = multiple of 11 Brown Lefthanded = multiple of 14 Total Brown = multiple of 5 Total Black = multiple of 6 Here's where things get a bit more complex: Since the Total Black must be a multiple of 6….84 + (multiple of 11) = (multiple of 6) The MINIMUM multiple of 11 that "fits" this factoid would be 66, so we'd have 84 + 66 = 150 Black gloves AT THE MINIMUM With those 150 Black gloves, we'd have to match the ratio in the prompt, so the Total number of Brown gloves would be 125 AT THE MINIMUM. So, we end up with a MINIMUM of 275 gloves; the answer to the question is ALWAYS YES. Final Answer: GMAT assassins aren't born, they're made, Rich Hi Rich, Although Fact 2 is insufficient, how could you use the original ratio in the prompt (5:6)? you have only the number of Right handed gloves 84, while the ration is about Total Brown to Total black. So the balk left handed gloves are missing.



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DS PROBLEM [#permalink]
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09 Nov 2016, 10:01
Can any one explain this
A sporting goods store received a shipment of baseball gloves that included 5 brown gloves for every 6 black gloves. If lefthanded and righthanded gloves are sold and ordered individually, did the store receive at least 250 gloves in the shipment?
(1) 44% of the lefthanded gloves in the shipment were black.
(2) The shipment included 84 black, righthanded gloves.
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Re: A sporting goods store received a shipment of baseball glove [#permalink]
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Re: A sporting goods store received a shipment of baseball glove [#permalink]
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11 Dec 2016, 03:06
Bunuel wrote: 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 lefthanded gloves in the shipment were black.
(2) The shipment included 84 black, righthanded 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 calculated assuming gloves to come in a pair




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