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In a consumer survey, 85% of those surveyed liked at least [#permalink]
30 Nov 2006, 07:47

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B

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E

Difficulty:

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Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

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?

Assuming that the total number of people surveyed equals 100, we know that 85 people liked one or more of the products. 15 didn't like any.

50 people liked product 1
30 people liked product 2
20 people liked product 3
5 people liked all three products

If you add up all the people who liked the various products, you get a total of 100 people. However, the question tells us that only 85 people liked at least one of the three products.

Therefore, 15 people had to like at least 2 products.

(total people who like more than 1 product)/(total people surveyed) = 15/100.

Therefore, 15% of the people surveyed liked more than one product.

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?

Using venn diagram you come up with the answer 10%

But then you look at the question and you see that you picked that from 85% of the people in the survey who liked at least one product.... therefore another 15% liked at least 2 products...

Using venn diagram you come up with the answer 10%

But then you look at the question and you see that you picked that from 85% of the people in the survey who liked at least one product.... therefore another 15% liked at least 2 products...

10+15=25%....

I have a doubt here does'nt liking at least one cover all conditions.

My answer choice is also E and the working is

100 = people liking1 -people liking both +people liking all 3 + None
100 = 50+30+20 -both+5+15
both =20
People liking at least 2 or more = people liking both + people liking 3
= 20 +5=25

But if venn digrams are used one ends with choice B
Can any one please expaling the correct answer

I have a doubt here does'nt liking at least one cover all conditions.

My answer choice is also E and the working is

100 = people liking1 -people liking both +people liking all 3 + None 100 = 50+30+20 -both+5+15 both =20 People liking at least 2 or more = people liking both + people liking 3 = 20 +5=25

But if venn digrams are used one ends with choice B Can any one please expaling the correct answer

Should it not be - 2*(5) because you've counted the people who like all three 3 times in the 50 + 30 + 20?