Author 
Message 
TAGS:

Hide Tags

Current Student
Joined: 23 Jan 2016
Posts: 12
GMAT 1: 640 Q36 V40 GMAT 2: 650 Q41 V38 GMAT 3: 710 Q47 V41

Re: In a consumer survey, 85% of those surveyed liked at least [#permalink]
Show Tags
21 Oct 2016, 21:50
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.



Current Student
Joined: 23 Jan 2016
Posts: 12
GMAT 1: 640 Q36 V40 GMAT 2: 650 Q41 V38 GMAT 3: 710 Q47 V41

Re: In a consumer survey, 85% of those surveyed liked at least [#permalink]
Show Tags
21 Oct 2016, 21:53
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.



Manager
Joined: 23 Sep 2016
Posts: 231

Re: In a consumer survey, 85% of those surveyed liked at least [#permalink]
Show Tags
05 Apr 2017, 23:27
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>



Math Expert
Joined: 02 Sep 2009
Posts: 44599

Re: In a consumer survey, 85% of those surveyed liked at least [#permalink]
Show Tags
06 Apr 2017, 00:01
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.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 12 Mar 2017
Posts: 5
Location: India
Anup: Patel
Concentration: Strategy, Economics
GPA: 3
WE: Education (Education)

Re: In a consumer survey, 85% of those surveyed liked at least [#permalink]
Show Tags
09 Jul 2017, 07:50
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



Intern
Joined: 13 Mar 2017
Posts: 4

Re: In a consumer survey, 85% of those surveyed liked at least [#permalink]
Show Tags
24 Dec 2017, 04:48
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?



Math Expert
Joined: 02 Sep 2009
Posts: 44599

Re: In a consumer survey, 85% of those surveyed liked at least [#permalink]
Show Tags
24 Dec 2017, 05:05
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.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics




Re: In a consumer survey, 85% of those surveyed liked at least
[#permalink]
24 Dec 2017, 05:05



Go to page
Previous
1 2
[ 27 posts ]



