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Question

Let A = {x : x is a square of a natural number and x is less than 100} and B is a set of even natural numbers. What is the cardinality of AB ?
  1. 9
  2. 4
  3. 5
  4. None of the above

A
4
B
9
C
5
D
None of the above
Solution
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A={1,4.9.16,25,36,49,64,81}
B={2,4,6,8,10,12,14,16,18,20,24,26,28,30,32,34,36,38,...}
AB={4,16,36,64}
Hence, n(aB)=4.

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