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# There are 200 number of clothes. What is the number of clothes that ar

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7343
GMAT 1: 760 Q51 V42
GPA: 3.82
There are 200 number of clothes. What is the number of clothes that ar  [#permalink]

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04 Aug 2017, 02:20
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15% (low)

Question Stats:

87% (01:14) correct 13% (01:37) wrong based on 58 sessions

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There are 200 number of clothes. What is the number of clothes that are red but not made of cotton?

1) 10% of the total clothes are neither red nor made of cotton.
2) 50% of the total clothes are both red and made of cotton.

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Director Joined: 04 Dec 2015 Posts: 750 Location: India Concentration: Technology, Strategy WE: Information Technology (Consulting) Re: There are 200 number of clothes. What is the number of clothes that ar [#permalink] ### Show Tags 04 Aug 2017, 03:26 1 MathRevolution wrote: There are 200 number of clothes. What is the number of clothes that are red but not made of cotton? 1) 10% of the total clothes are neither red nor made of cotton. 2) 50% of the total clothes are both red and made of cotton. Total number of clothes $$= 200$$ Total $$=$$ Red Only $$+$$ Cotton Only $$-$$ (Both Red and made of Cotton) $$+$$ Neither (Neither Red nor made of Cotton) We need to find the value of Red Only. 1) $$10$$% of the total clothes are neither red nor made of cotton. $$10$$% of $$200 = \frac{10}{100} * 200 = 20$$ $$20$$ clothes are neither red nor made of cotton. Therefore we have the value of Neither. We cannot find value of Red Only. Hence I is Not Sufficient. 2) $$50$$% of the total clothes are both red and made of cotton. $$50$$% of $$200 = \frac{50}{100} * 200 = 100$$ $$100$$ clothes are Both Red and Made of Cotton. Therefore we have the value of Both. We cannot find the value of Red Only. Hence II is Not Sufficient. Combining ($$1$$) and ($$2$$); Total $$=$$ Red Only $$+$$ Cotton Only $$-$$ (Both Red and made of Cotton) $$+$$ Neither (Neither Red nor made of Cotton) $$200 =$$ Red Only $$+$$ Cotton Only $$- 100 + 20$$ We do not have the value of Cotton Only or Red Only. Therefore, we cannot find the value of Red Only. Hence Combining ($$1$$) and ($$2$$) are Not Sufficient. Answer (E)... _________________ Please Press "+1 Kudos" to appreciate. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7343 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: There are 200 number of clothes. What is the number of clothes that ar [#permalink] ### Show Tags 06 Aug 2017, 18:15 ==> If you modify the original condition and the question, it is a 2 by 2 question which appears most frequently on current GMAT math. Attachment: 8.4.png [ 2.09 KiB | Viewed 591 times ] As shown above, there are 4 variables (w,x,y,z) and 1 equation (W+X+Y+Z=200). In order to match the number of variables to the number of equations, there must be 3 more equations. Since there is 1 for con 1) and 1 for con 2), E is most likely to be the answer. By solving con 1) & con 2), you get z=200(10%)=20 and w=200(505)=100, but the value of y is not unique and not sufficient. The answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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Re: There are 200 number of clothes. What is the number of clothes that ar   [#permalink] 06 Aug 2017, 18:15
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