60 % of the customers bought roses on Valentine's day.

no of the customers who bought roses on VAlentine's day=60

no of the people who bought only red roses are 30

that means the number of people who bought all three kinds of rose will be less than or equal to 30.

Statement 1: no of the people who bought only yellow and orange roses together =12

no of the people who bought all three types of rose will be less than or equal to 18(30-12)

case one : when x bought only yellow roses and 18-x bought only orange roses, no of people who bought all three types of roses=0

case two: when 18 bought all three kinds of roses, no of people who bought all three types of roses=18

not sufficient

statement 2: number of the customers who bought only red and one other type of roses=0

case one : when x bought only yellow roses and 30-x bought only orange roses, no of people who bought all three types of roses=0

case two: when 30 bought all three kinds of roses, no of people who bought all three types of roses=30

not sufficient

Taking both together also does not help, so the correct answer is E

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