In a survey on a fraction of the teenage population on their preference for the "in” brands this season, 78% of these asked were in favour of at least one of the brands: 1; 2 and 3. 50% of those asked favoured Brand 1, 30% favoured Brand 2, and 20% Brand 3. If 5% of those asked favoured all three Brands, what percentage of those asked favoured more than one of the three Brands?

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Solution

The correct option is C
17

We will use the S-X technique to solve this question
X (those favouringatleast 1)=78
S (I+2II+3III+4IV)=50+30+20=100
All 3 (III) = 5
S-X = II + 2III
22=II + 2(5) $\Rightarrow$ II = 22-10=12

More than one = II + III = 12+5=17

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The correct option is C 17We will use the S-X technique to solve this question X (those favouringatleast 1)=78 S (I+2II+3III+4IV)=50+30+20=100 All 3 (III) = 5 S-X = II + 2III 22=II + 2(5) ⇒ II = 22-10=12 More than one = II + III = 12+5=17

The correct option is C
17

We will use the S-X technique to solve this question
X (those favouringatleast 1)=78
S (I+2II+3III+4IV)=50+30+20=100
All 3 (III) = 5
S-X = II + 2III
22=II + 2(5) $\Rightarrow$ II = 22-10=12

More than one = II + III = 12+5=17