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Raj Gaba
Asked: 2022-11-03T14:20:54+05:30 In:

If A = {x : x is square of natural numbers ≤ 8}, and B = {2x + 1 : x ∈ N}, the what is (A ∩ B)?
1. {0, 1, 4, 9, 25, 49, 121}
2. {1, 4, 16, 36, 64}
3. {9, 25,49}
4. {1, 9, 25, 49}

If A = {x : x is square of natural numbers ≤ 8}, and B = {2x + 1 : x ∈ N}, the what is (A ∩ B)?
1. {0, 1, 4, 9, 25, 49, 121}
2. {1, 4, 16, 36, 64}
3. {9, 25,49}
4. {1, 9, 25, 49}
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1 Answer

  1. Correct Answer – Option 3 : {9, 25,49}

    Concept:

    Set theory:

    • A ∪ B means set of all the values in the set A and B.
    • A ∩ B is the set of common elements of A and B.
    • Subset (⊂) is the set such that all the elements of the subset are in the set from which the subset is taken from.

     

    Calculation

    Given: B = {2x + 1 : x ∈ N}

    So, Set B = {3, 5, 7, 9, 11, 13, ……} (all the odd positive integers excluding 1)

    Given: A = {x : x is square of natural numbers ≤ 8}

    So, Set A = {1, 4, 9, 16, 25, 36, 49, 64}

    ∴ A ∩ B = {9, 25, 49}

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