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In a survey among students at all the IIMs, it was found that 48% preferred coffee, 54% liked tea and 64% smoked. Of the total, 28% liked coffee and tea, 32% smoked and drank tea and 30% smoked and drank coffee. Only 6% did none of these. If the total number of students is 2,000 then the ratio of number of students who like only coffee to the students who like only tea is:

In a survey among students at all the IIMs, it was found that 48% preferred coffee, 54% liked tea and 64% smoked. Of the total, 28% liked coffee and tea, 32% smoked and drank tea and 30% smoked and drank coffee. Only 6% did none of these. If the total number of students is 2,000 then the ratio of number of students who like only coffee to the students who like only tea is: Correct Answer 2 : 3

Calculation:

Let assume that total number of students = 100%

Students who like = 100% - 6% = 94%

⇒ 94 = 48 + 54 + 64 - 28 - 30 - 32 + x

⇒ 94 = 166 - 90 + x

⇒ 94 = 76 + x

⇒ x = 18%

Students only like coffee = 8%

Students only like tea = 12%

⇒ Students only like coffee ∶ Students only like tea = 8 ∶ 12

∴ Students only like coffee ∶ Students only like tea = 2 ∶ 3

The correct option is 3 i.e. 2 : 3

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