Question

Which of the two nearest numbers to $19506$ are divisible by $9$?

• A. $19505,19509$
• B. $19503,19512$
• C. $19505,19512$
• D. None of these

Answer 1

Answer: (B)

$19503,19512$

$\Rightarrow$ Divisibility rule of 9 : A number is divisible by 9 if the sum of its digits is divisible by 9.

$\Rightarrow$ $19505=1+9+5+0+5=20$ and $19509=1+9+5+0+9=24$

$\therefore$ The numbers $19505,19509$ are not divisible by 9.

$\Rightarrow$ $19503=1+9+5+0+3=18$ and $19512=1+9+5+1+2=18$

$\therefore$ The two number $19503,19512$ are divisible by 9.