Q154 / 270 · NDA 2012 (Phase 1) · Mathematics

Let $\mathrm{A}=\{x: x$ 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 $\mathrm{A} \cap \mathrm{B}$ ?

  • Correct answer
    A
    4
  • B
    5
  • C
    9
  • D
    None of the above

Solution

$\begin{aligned} & A=\{1,4,9,16,25,36,49,64,81\} \\ & B=\{\text { even natural numbers }\} \\ & A \cap B=\{4,16,36,64\}\end{aligned}$

Hence, the correct answer is option: 'A'.

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