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Question: Answered & Verified by Expert
Let $\mathrm{A}=\{\mathrm{x}: \mathrm{x}$ is a square of anatural number and $\mathrm{x}$ is less than $100\}$ and $B$ is a set of even natural numbers. What is the cardinality of $\mathrm{A} \cap \mathrm{B}$?
MathematicsSets and RelationsNDANDA 2012 (Phase 1)
Options:
  • A 4
  • B 5
  • C 9
  • D None of the above
Solution:
2361 Upvotes Verified Answer
The correct answer is: 4
Here $\mathrm{A}=\{1,4,9,16,25,36,49,64,81\}$
$\mathrm{B}=$ \{even natural numbers $\mathrm{A} \cap \mathrm{B}=\{4,16,36,64\}$
So, cardinal ity of $\mathrm{A} \cap \mathrm{B}=4$

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