IPMAT Indore 2024 (MCQ) - In a survey of 500 people, it was found that 250 owned a 4-wheeler but not a 2-wheeler, 100 owned a 2-wheeler but not a 4-wheeler, and 100 owned neither a 4-wheeler nor a 2-wheeler. Then the number of people who owned both is | PYQs + Solutions

IPMAT Indore 2024

Modern Math

Set Theory

Easy

In a survey of 500 people, it was found that 250 owned a 4-wheeler but not a 2-wheeler, 100 owned a 2-wheeler but not a 4-wheeler, and 100 owned neither a 4-wheeler nor a 2-wheeler. Then the number of people who owned both is

100

✅ Correct Option: 4

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P= \{2,3,4,..., 25\}

k ∈ P

Q(k)= \{x ∈ P

x > k

k

x\}

P - U_{k=2}^{25} Q(k)