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IPMAT Indore 2024

Modern Math
>
Set Theory

Easy

In a group of 150 students, 52 like tea, 48 like juice and 62 like coffee. If each student in the group likes at least one among tea, juice and coffee, then the maximum number of students that like more than one drink is:

Entered answer:

Correct Answer: 12

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Let the set P={2,3,4,...,25}P= \{2,3,4,..., 25\}. For each k∈Pk ∈ P, define Q(k)={x∈PQ(k)= \{x ∈ P such that x>kx > k and kk divides x}x\}. Then the number of elements in the set P−Uk=225Q(k)P - U_{k=2}^{25} Q(k) is

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