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In a consumer survey, 85% of those surveyed liked at least
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26 Jul 2010, 02:53
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In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products? A. 5 B. 10 C. 15 D. 20 E. 25
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In a consumer survey, 85% of those surveyed liked at least
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26 Jul 2010, 03:27
In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products? A. 5 B. 10 C. 15 D. 20 E. 25[/quote] As 85% of those surveyed liked at least one of three products then 15% liked none of three products. Total = {liked product 1} + {liked product 2} + {liked product 3}  {liked exactly two products}  2*{liked three product} + {liked none of three products} \(100=50+30+20x2*5+15\) > \(x=5\), so 5 people liked exactly two products. More than one product liked those who liked exactly two products, (5%) plus those who liked exactly three products (5%), so 5 + 5 = 10% liked more than one product. Answer: B. For more check ADVANCED OVERLAPPING SETS PROBLEMSHope it helps.
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Re: Set theoryNeed help in solving this
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27 Jul 2010, 10:34
Bunuel wrote: Total = {liked product 1} + {liked product 2} + {liked product 3}  {liked exactly two products}  2*{liked exactly three product} + {liked none of three products}
100=50+30+20x2*5+15 > x=5, so 5 people liked exactly two products. More than one product liked those who liked exactly two products, (5%) plus those who liked exactly three products (5%), so 5+5=10% liked more than one product.
Answer: B.
Bunuel, you are close but have a small error as highlighted in red above and fixed in green below. Total = {liked product 1} + {liked product 2} + {liked product 3}  {liked exactly two products} + {liked exactly three product} + {liked none of three products} 100=50+30+20x +5+15 > x=15, so 15 people liked exactly two products. "More than one product liked" equals those who liked exactly two products, (15%) plus those who liked exactly three products (5%), so 15+5= 20% liked more than one productAnswer: D



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Re: Set theoryNeed help in solving this
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27 Jul 2010, 10:47
dauntingmcgee wrote: Bunuel wrote: Total = {liked product 1} + {liked product 2} + {liked product 3}  {liked exactly two products}  2*{liked exactly three product} + {liked none of three products}
100=50+30+20x2*5+15 > x=5, so 5 people liked exactly two products. More than one product liked is equivalent to those who liked exactly two products, (5%) plus those who liked exactly three products (5%), so 5+5=10% liked more than one product.
Answer: B.
Bunuel, you are close but have a small error as highlighted in red above and fixed in green below. Total = {liked product 1} + {liked product 2} + {liked product 3}  {liked exactly two products} + {liked exactly three product} + {liked none of three products} 100=50+30+20x +5+15 > x=15, so 15 people liked exactly two products. More than one product liked those who liked exactly two products, (15%) plus those who liked exactly three products (5%), so 15+5= 20% liked more than one productAnswer: D Please follow this link: formulaefor3overlappingsets69014.html In my post in the end of the first page I explain the difference in two formulas: the one I used (right one for THIS question) and the one you propose (wrong for THIS question). Hope it helps.
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Re: Set theoryNeed help in solving this
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27 Jul 2010, 10:50
Bunuel wrote: dauntingmcgee wrote: Bunuel wrote: Total = {liked product 1} + {liked product 2} + {liked product 3}  {liked exactly two products}  2*{liked exactly three product} + {liked none of three products}
100=50+30+20x2*5+15 > x=5, so 5 people liked exactly two products. More than one product liked is equivalent to those who liked exactly two products, (5%) plus those who liked exactly three products (5%), so 5+5=10% liked more than one product.
Answer: B.
Bunuel, you are close but have a small error as highlighted in red above and fixed in green below. Total = {liked product 1} + {liked product 2} + {liked product 3}  {liked exactly two products} + {liked exactly three product} + {liked none of three products} 100=50+30+20x +5+15 > x=15, so 15 people liked exactly two products. More than one product liked those who liked exactly two products, (15%) plus those who liked exactly three products (5%), so 15+5= 20% liked more than one productAnswer: D Please follow this link: formulaefor3overlappingsets69014.html In my post in the end of the first page I explain the difference in two formulas: the one I used (right one for THIS question) and the one you propose (wrong for THIS question). Hope it helps. My apologies, you are quite correct. I should not have doubted the awesome power of Bunuel



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Re: In a consumer survey, 85% of those surveyed
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13 Jul 2012, 04:08
Hi Bunuel...I was confused with the language..it says 50% of those.. is it 50% of 85% or 50% of whole? From your solution looks like latter..But do you agree that such language should be more clear? or am I missing something?



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Re: In a consumer survey, 85% of those surveyed
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13 Jul 2012, 04:17
pavanpuneet wrote: Hi Bunuel...I was confused with the language..it says 50% of those.. is it 50% of 85% or 50% of whole? From your solution looks like latter..But do you agree that such language should be more clear? or am I missing something? For me the language is clear enough. It says "50% of those asked", so "50% of those surveyed".
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Re: In a consumer survey, 85% of those surveyed
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19 Mar 2013, 02:46
Bunuel wrote: pavanpuneet wrote: Hi Bunuel...I was confused with the language..it says 50% of those.. is it 50% of 85% or 50% of whole? From your solution looks like latter..But do you agree that such language should be more clear? or am I missing something? For me the language is clear enough. It says "50% of those asked", so "50% of those surveyed". Hi Bunuel, I was also confused with the language as it said 50% liked A, 30% liked B and 20% liked C, which means 100% liked atleast one of the 3 products. Whereas the question stated that 15% dint like any of the 3 products! Whats wrong with my reasoning? Thanks for your response



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Re: In a consumer survey, 85% of those surveyed
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20 Mar 2013, 03:55
summer101 wrote: Bunuel wrote: pavanpuneet wrote: Hi Bunuel...I was confused with the language..it says 50% of those.. is it 50% of 85% or 50% of whole? From your solution looks like latter..But do you agree that such language should be more clear? or am I missing something? For me the language is clear enough. It says "50% of those asked", so "50% of those surveyed". Hi Bunuel, I was also confused with the language as it said 50% liked A, 30% liked B and 20% liked C, which means 100% liked atleast one of the 3 products. Whereas the question stated that 15% dint like any of the 3 products! Whats wrong with my reasoning? Thanks for your response 50% liked product 1 does not mean that 50% liked ONLY product 1. 30% liked product 2 does not mean that 30% liked ONLY product 2. 20% liked product 3 does not mean that 20% liked ONLY product 3. Check the link provided here: inaconsumersurvey85ofthosesurveyedlikedatleast98018.html#p754585
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Re: Set theoryNeed help in solving this
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12 Sep 2013, 00:26
Bunuel wrote: mitmat wrote: Can someone help me how to solve this question...thanks in advance...
In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
A) 5
B) 10
C) 15
D) 20
E) 25 As 85% of those surveyed liked at least one of three products then 15% liked none of three products. Total = {liked product 1} + {liked product 2} + {liked product 3}  {liked exactly two products}  2*{liked exactly three product} + {liked none of three products} \(100=50+30+20x2*5+15\) > \(x=5\), so 5 people liked exactly two products. More than one product liked those who liked exactly two products, (5%) plus those who liked exactly three products (5%), so 5+5= 10% liked more than one product. Answer: B. For more check ADVANCED OVERLAPPING SETS PROBLEMSHope it helps. Hi Bunuel, I'm sorry to ask this in spite of so many explanations around. What does "more than 1 product" mean? Shouldn't it be the same as "2 group overlaps"? My understanding is that 2 group overlaps will include both 2 group and 3 group overlaps. Hence, formula 1 should be sufficient, right? I know i am going wrong somewhere. Could you clarify please?



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Re: Set theoryNeed help in solving this
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13 Sep 2013, 01:18
emailmkarthik wrote: Bunuel wrote: mitmat wrote: Can someone help me how to solve this question...thanks in advance...
In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
A) 5
B) 10
C) 15
D) 20
E) 25 As 85% of those surveyed liked at least one of three products then 15% liked none of three products. Total = {liked product 1} + {liked product 2} + {liked product 3}  {liked exactly two products}  2*{liked exactly three product} + {liked none of three products} \(100=50+30+20x2*5+15\) > \(x=5\), so 5 people liked exactly two products. More than one product liked those who liked exactly two products, (5%) plus those who liked exactly three products (5%), so 5+5= 10% liked more than one product. Answer: B. For more check ADVANCED OVERLAPPING SETS PROBLEMSHope it helps. Hi Bunuel, I'm sorry to ask this in spite of so many explanations around. What does "more than 1 product" mean? Shouldn't it be the same as "2 group overlaps"? My understanding is that 2 group overlaps will include both 2 group and 3 group overlaps. Hence, formula 1 should be sufficient, right? I know i am going wrong somewhere. Could you clarify please? More than one means exactly 2 or exactly 3, regions e, d, f, and g in the diagram below: For more check ADVANCED OVERLAPPING SETS PROBLEMSHope it helps.
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In a consumer survey, 85% of those surveyed liked at least
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Re: In a consumer survey, 85% of those surveyed liked at least
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05 Apr 2017, 22:27
mathewmithun wrote: In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
A. 5 B. 10 C. 15 D. 20 E. 25 <b>sir i am still unable to understand why we can't use total=A+B+C(2 category)+3 category+neither as we need more than 1 category which mean 2 category+all 3 category and this formula will give us straight answer no need to add anything further please elaborate</b>



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Re: In a consumer survey, 85% of those surveyed liked at least
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05 Apr 2017, 23:01
rishabhmishra wrote: mathewmithun wrote: In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
A. 5 B. 10 C. 15 D. 20 E. 25 <b>sir i am still unable to understand why we can't use total=A+B+C(2 category)+3 category+neither as we need more than 1 category which mean 2 category+all 3 category and this formula will give us straight answer no need to add anything further please elaborate</b> We need d + e + f + g. The formula you mention will give \(sum \ of \ 2group \ overlaps=AnB+AnC+BnC=20\). Notice that AnB+AnC+BnC counts section g THREE times. We need to count it once. So, to get the answer we should subtract 2g from that: g = 5 > 20  2g = 20  10 = 10. Hope it's clear.
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Re: In a consumer survey, 85% of those surveyed liked at least
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24 Dec 2017, 03:48
Bunuel wrote: mitmat wrote: Can someone help me how to solve this question...thanks in advance...
In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
A) 5
B) 10
C) 15
D) 20
E) 25 As 85% of those surveyed liked at least one of three products then 15% liked none of three products. Total = {liked product 1} + {liked product 2} + {liked product 3}  {liked exactly two products}  2*{liked exactly three product} + {liked none of three products} \(100=50+30+20x2*5+15\) > \(x=5\), so 5 people liked exactly two products. More than one product liked those who liked exactly two products, (5%) plus those who liked exactly three products (5%), so 5+5= 10% liked more than one product. Answer: B. Hope it helps. Hi Bunuel, "If 5% of the people in the survey liked all three of the products", doesn't that include the set of 2 overlaps? How do we know that liked all 3 translates to EXACTLY three products?



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Re: In a consumer survey, 85% of those surveyed liked at least
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24 Dec 2017, 04:05
Ahmedyali wrote: Bunuel wrote: mitmat wrote: Can someone help me how to solve this question...thanks in advance...
In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
A) 5
B) 10
C) 15
D) 20
E) 25 As 85% of those surveyed liked at least one of three products then 15% liked none of three products. Total = {liked product 1} + {liked product 2} + {liked product 3}  {liked exactly two products}  2*{liked exactly three product} + {liked none of three products} \(100=50+30+20x2*5+15\) > \(x=5\), so 5 people liked exactly two products. More than one product liked those who liked exactly two products, (5%) plus those who liked exactly three products (5%), so 5+5= 10% liked more than one product. Answer: B. Hope it helps. Hi Bunuel, "If 5% of the people in the survey liked all three of the products", doesn't that include the set of 2 overlaps? How do we know that liked all 3 translates to EXACTLY three products? When you have 3 products {liked exactly three product} and {liked three product} are the same group.
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