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Sets and Relations — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsSets and Relations1 Mark
MCQ
If $aN =\{ ax : x \in N \}$, then set $6 N \cap 8 N =$
  • A
    $8 N$
  • B
    $48 N$
  • C
    $12 N$
  • ✓
    $24 N$
✓

Answer

Correct option: D.
$24 N$
(D) $24 N$
Hint:
$6 N=\{6 x: x \in N\}=\{6,12,18,24,30, \ldots . .\} $
$8 N=\{8 x: x \in N\}=\{8,16,24,32, \ldots . .\} $
$\therefore 6 N \cap 8 N=\{24,48,72, \ldots . .\} $
$=\{24 x: x \in N\}$
$=24 N$

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