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Re: In a consumer survey, 85% of those surveyed liked at least
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21 Oct 2016, 20:50
Adding in my thought process in case it helps anyone out 1. You have 85% like at least one of the three products. That includes those who liked 1,2,3 or three products. 2. 50% liked product 1, 30% product 2, and 20% product 3. That gives you a total of 100%. However, since only 85% liked at least one, you end up with 15% "too much". 3. The 15% is made up of those who liked either 2 or 3 products. Since 5% liked all three, you count that twice. That leaves 5% left over. So the total is 5% + 5% = 10% who liked more than one.



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Re: In a consumer survey, 85% of those surveyed liked at least
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21 Oct 2016, 20:53
Nakul555 wrote: Why aren't we using the first formula in this?? the question states more than one product, so it should be 2 or more which requires the first formula? 10% is just "exactly two" products... Please help I could be wrong Nakul555, but my thought process is that you don't know which ones like which two products. E.g., someone could like 1 and 2 or 2 and 3 or even 1 and 3. I think if you knew who liked what you might be able to use that first formula.



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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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09 Jul 2017, 06:50
Hi Bunuel,
The place i got stuck in this question is "50% of those asked liked product 1"...now the asked % is given as 85%...so shouldn't that be 50% of 85 ?...rather than taking Product 1 as 50% directly....am i reading it wrongly ?
Best Regards, Anup Kumar Patel



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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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Re: In a consumer survey, 85% of those surveyed liked at least
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18 Dec 2018, 22:37
As 85% of those surveyed like atleast one of the three products, we can say that 15% of those surveyed didn’t like any of the three products. Let total no of people surveyed be 100. Total = {liked product 1} + {liked product 2} + {liked product 3} – {liked exactly two products} – 2 x {liked all products} + {liked none of the three products} 100 = 50 + 30 + 20 – a – 2 x 5 + 15 a = 5. So, 5% people liked exactly 2 products and we know that 5% people liked all the three products. Hence, 10% people liked more than one product.



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Re: In a consumer survey, 85% of those surveyed liked at least
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13 Jan 2019, 07:05
Hi, I am not sure if this approach is correct. Kindly let me know
I used this formula
Total=A+B+C−(sum of 2−group overlaps)+(all three)+NeitherTotal=A+B+C−(sum of 2−group overlaps)+(all three)+Neither.
85=42.5+25.5+17x+4.25
This gives me x=4.25 which is sum of 2−group overlaps. I add this to the all three sum which is 4.25, giving me 8.5.
This leads to 8.5/85*100 => 10%




Re: In a consumer survey, 85% of those surveyed liked at least
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