CA Foundation · Quantitative Aptitude · Sets, Relations and Functions, Limits and Continuity
If A = {1, 2, {3, 4}}, which of the following statements is correct?
The correct statement is {3, 4} ∈ A. The set A has three elements: 1, 2 and the set {3, 4}. The numbers 3 and 4 are not separate members, so subset and count claims fail.
- A{3, 4} ⊂ A
- B{3, 4} ∈ ACorrect
- C3 ∈ A
- Dn(A) = 4
Explanation
The element {3, 4} is itself a member of A, so {3, 4} ∈ A. 3 is not directly an element, so 3 ∈ A is false. {3, 4} ⊂ A would need 3 and 4 to be elements of A, which they are not. A has 3 elements, so n(A) = 4 is wrong.
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