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In a town, 25% families own a phone and 15% own a car, 65% families ow
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31 May 2018, 11:13
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48% (02:37) correct 52% (02:47) wrong based on 137 sessions
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Re: In a town, 25% families own a phone and 15% own a car, 65% families ow
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Updated on: 31 May 2018, 19:48
Bunuel wrote: In a town, 25% families own a phone and 15% own a car, 65% families own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard:
I. 10% families own both a car and a phone. II. 35% families own either a car or a phone. III. 40,000 families live in the town.
Which of the above statements are correct?
A) Only I B) II and III C) Only III D) I and III E) Only II Ans: E From the stem we know that Total = Phone + Car  both + None 100 % = 25% + 15% + both%  65% both= 5% (I wrong) (II correct) Edited: Since 5% = 2,000 ; 100% = 40,000 (III Correct) Ans: B
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Originally posted by D3N0 on 31 May 2018, 14:52.
Last edited by D3N0 on 31 May 2018, 19:48, edited 1 time in total.



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Re: In a town, 25% families own a phone and 15% own a car, 65% families ow
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31 May 2018, 19:43
dkumar2012 wrote: Bunuel wrote: In a town, 25% families own a phone and 15% own a car, 65% families own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard:
I. 10% families own both a car and a phone. II. 35% families own either a car or a phone. III. 40,000 families live in the town.
Which of the above statements are correct?
A) Only I B) II and III C) Only III D) I and III E) Only II Ans: E From the stem we know that Total = Phone + Car  both + None 100 % = 25% + 15% + both%  65% both= 5% (I wrong) (II correct) Since 5% = 20,000 ; 100% = 400,000 (III wrong) Ans: E Hi dkumar2012 you seems to have missread the value for 5%. Its 2000 not 2 0,000 so, Since 5% = 2000 ; 100% = 40,000 (III right) Ans: B
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Re: In a town, 25% families own a phone and 15% own a car, 65% families ow
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31 May 2018, 19:50
GMATisLovE wrote: Hi dkumar2012
you seems to have missread the value for 5%. Its 2000 not 20,000
so, Since 5% = 2000 ; 100% = 40,000 (III right)
Ans: B Yes, Thank you for pointing out. Edited the explanation and answer. thank you !
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Re: In a town, 25% families own a phone and 15% own a car, 65% families ow
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01 Jun 2018, 04:48
Solution Given:• In a town, 25% families own a phone, 15% own a car, 65% own neither a phone nor a car • 2000 families own both a car and a phone To find:• Which of the given statements in the option are true? Approach and Working: If we assume that 2000 families, which own both a car and a phone, are b% of the total population, we can show all the information in the following venn diagram: As per the diagram, we can say • Percentage of people who have only phone = 25 – b • Percentage of people who have only car = 15 – b • Percentage of people who have none = 65 As the total percentage is 100, we can write • 25 – b + b + 15 – b + 65 = 100 Or, 105 – b = 100 Or, b = 5% • Therefore, people with only phone is 20% and people with only car is 10% Now considering the statements individually, 1. 10% families own both a car and a phone. This is wrong as we know b represents this population, which is equal to 5% Therefore, statement 1 is wrong 2. 35% families own either a car or a phone. The families who own either a car or a phone = total – the families who own none = 100 – 65 = 35% Therefore, statement 2 is correct 3. 40,000 families live in the town. As 5% of total is 2000, total population will be 40000 Therefore, statement 3 is correct Hence, the correct answer is option B. Answer: B
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Re: In a town, 25% families own a phone and 15% own a car, 65% families ow
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03 Jun 2018, 17:21
Bunuel wrote: In a town, 25% families own a phone and 15% own a car, 65% families own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard:
I. 10% families own both a car and a phone. II. 35% families own either a car or a phone. III. 40,000 families live in the town.
Which of the above statements are correct?
A) Only I B) II and III C) Only III D) I and III E) Only II We can create the equation from the given percentages: total = phone + car  both + neither 100 = 25 + 15  both + 65 100 = 105  both both = 5 percent We see that I is false. If we let n = the total number of families, then: 0.05n = 2000 n = 40,000 The percent who own either a car or a phone is 25 + 15  5 = 35 percent. Thus, II and III are true. Answer: B
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Re: In a town, 25% families own a phone and 15% own a car, 65% families ow
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14 Jun 2018, 16:05
Bunuel wrote: In a town, 25% families own a phone and 15% own a car, 65% families own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard:
I. 10% families own both a car and a phone. II. 35% families own either a car or a phone. III. 40,000 families live in the town.
Which of the above statements are correct?
A) Only I B) II and III C) Only III D) I and III E) Only II Is the answer B or C? I see some experts getting B as the answer but the OA is marked as C



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Re: In a town, 25% families own a phone and 15% own a car, 65% families ow
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14 Jun 2018, 19:12



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Re: In a town, 25% families own a phone and 15% own a car, 65% families ow
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14 Jun 2018, 22:15
The answer should be C. Option II says that 35% of the families own either a phone or a car, whereas, 35% families own either a phone or a car or both. There are 5% families which own both phone and a car and that is included in 35%.




Re: In a town, 25% families own a phone and 15% own a car, 65% families ow &nbs
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14 Jun 2018, 22:15






