CBSE BoardEnglish MediumSTD 10MathsArithmetic Progressions1 Mark
MCQ
How many two$-$digit numbers are divisible by $3$ ?
A
$25$
✓
$30$
C
$32$
D
$36$
✓
Answer
Correct option: B.
$30$
Two$-$digit numbers divisible by $3$ are $12,15,18, ...., 99 .$
Let $T _{ n }=99$, Then $12+( n -1) \times 3=99$
$\Rightarrow(n-1) 3=99-12$
$\Rightarrow(n-1)=\frac{87}{3}=29$
$\Rightarrow n=29+1$
$=30$
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