MCQ
How many two$-$digit numbers are divisible by $3?$
  • A
    $25$
  • $30$
  • C
    $32$
  • D
    $36$

Answer

Correct option: B.
$30$

The two-digit numbers divisible by $3$ start from
$12,15,18,21, \ldots \ldots ., 99$
Here,
$a=12$
$d=3$
$a_n=a+(n-1) d$
$\Rightarrow 99=12+(n-1)(3)$
$\Rightarrow 99=12+3 n-3$
$\Rightarrow 90=3 n$
$\Rightarrow n=30$

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