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In a neighborhood having 90 households, 11 did not have
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23 May 2012, 11:24
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In a neighborhood having 90 households, 11 did not have either a car or a bike. If 12 households had a both a car and a bike and 44 had a car, how many had bike only? A. 30 B. 35 C. 20 D. 18 E. 10
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Re: Sets  Neighbourhood bikes
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23 May 2012, 11:42
I think 35. see the chart.
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Re: Sets  Neighbourhood bikes
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23 May 2012, 23:33
Hi,
Total households = 90 Households having car or bike = 9011 = 79 Households having car = 44 Households having bike only = 79  44 = 35
(B)
Redundant information: 12 households had a both a car and a bike.



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Re: In a neighborhood having 90 households, 11 did not have
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23 May 2012, 23:36
Use this Venn diagram:
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Re: In a neighborhood having 90 households, 11 did not have
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23 May 2012, 23:40



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Re: In a neighborhood having 90 households, 11 did not have
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20 Jun 2012, 22:55
N(Car or Bike) = N(Car) + N(Bike)  N(Car + Bike) N(Car or Bike) = 9011 = 79 N(Car) = 44 N(Car + Bike) = 12 79 = 44 + N(Bike)  12 N (Bike) = 47 But this includes people with Bike and Car both. People with just Bike = 47  12 = 35 Pls tell where I am wrong. navigator123 wrote: In a neighborhood having 90 households, 11 did not have either a car or a bike. If 12 households had a both a car and a bike and 44 had a car, how many had bike only?
A. 30 B. 35 C. 20 D. 18 E. 10



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Re: In a neighborhood having 90 households, 11 did not have
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21 Jun 2012, 00:46
nishantmehra01 wrote: N(Car or Bike) = N(Car) + N(Bike)  N(Car + Bike) N(Car or Bike) = 9011 = 79 N(Car) = 44 N(Car + Bike) = 12 79 = 44 + N(Bike)  12 N (Bike) = 47 But this includes people with Bike and Car both. People with just Bike = 47  12 = 35 Pls tell where I am wrong. navigator123 wrote: In a neighborhood having 90 households, 11 did not have either a car or a bike. If 12 households had a both a car and a bike and 44 had a car, how many had bike only?
A. 30 B. 35 C. 20 D. 18 E. 10 You did nothing wrong: answer B is correct. Though after you got that N(Car or Bike) = 79 and N(Car) = 44, you could directly subtract from the group who has a car or a bike (79) the group who has a car (44) to get the group who has only bike: 7944=35. Hope it's clear.
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Re: In a neighborhood having 90 households, 11 did not have
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15 Aug 2013, 10:02
Bunuel wrote: navigator123 wrote: In a neighborhood having 90 households, 11 did not have either a car or a bike. If 12 households had a both a car and a bike and 44 had a car, how many had bike only?
A. 30 B. 35 C. 20 D. 18 E. 10 {Total}={Car}+{Bike}{Both}+{Neither} > 90=44+{Bike}12+11 > {Bike}=47 > # those who have bike only is {Bike}{Both}=4712=35. Answer: B. Hope it's clear. Is "11 did not have either a car or a bike" same as "11 did have neither a car nor a bike" ?



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Re: In a neighborhood having 90 households, 11 did not have
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08 Sep 2014, 00:16
Refer diagram below Answer = 35
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In a neighborhood having 90 households, 11 did not have
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08 Sep 2014, 00:20
ParmarKarishma wrote: Bunuel wrote: navigator123 wrote: In a neighborhood having 90 households, 11 did not have either a car or a bike. If 12 households had a both a car and a bike and 44 had a car, how many had bike only?
A. 30 B. 35 C. 20 D. 18 E. 10 {Total}={Car}+{Bike}{Both}+{Neither} > 90=44+{Bike}12+11 > {Bike}=47 > # those who have bike only is {Bike}{Both}=4712=35. Answer: B. Hope it's clear. Is "11 did not have either a car or a bike" same as "11 did have neither a car nor a bike" ? yes its same; Please refer the diagram in above post 11 don't have car & bikes (They are out of the vehicles set)
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Re: In a neighborhood having 90 households, 11 did not have
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09 Mar 2017, 01:53
Household (car) = household (car only) + household (both car and bike) = 44 Total household = Household(neither car nor bike) + household (car only) + household (bike only) + household (both car and bike) or 90 = 11 +household (bike only) + 44 or household (bike only) = 9055 =35. Option B Hit kudos and visit our page for free GMAT prep questions and articles : www.byjus.com/freegmatprep
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Re: In a neighborhood having 90 households, 11 did not have
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15 Mar 2017, 15:21
navigator123 wrote: In a neighborhood having 90 households, 11 did not have either a car or a bike. If 12 households had a both a car and a bike and 44 had a car, how many had bike only?
A. 30 B. 35 C. 20 D. 18 E. 10 We can use the following formula: # of households = # with a car + # with a bike  # with both + # with neither 90 = 44 + b  12 + 11 90 = 43 + b 47 = b We see that 47 households had a bike and 12 of them also had a car; thus, 47  12 = 35 households had a bike only. Answer: B
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