IPMAT Indore 2019 (SA) - Let the set P= \2,3,4,..., 25\. For each k ∈ P, define Q(k)= \x ∈ P such that x > k and k divides x\. Then the number of elements in the set P - U_k=2^25 Q(k) is | PYQs + Solutions | AfterBoards
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IPMAT Indore 2019

Modern Math
>
Set Theory

Hard

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

Entered answer:

Correct Answer: 9

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