If the number $¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 42573 x$ is exactly divisible by 72, then the minimum value of x is

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Solution

The correct option is C 6
$T h e n u m b e r s h o u l d b e d i v i s b l e b y 8 a n d 9. F o r a n u m b e r t o b e d i v i s i b l e b y 9, t h e s u m o f a l l d i g i t s s h o u l d b e d i v i s i b l e b y 9. H e r e : 4 + 2 + 5 + 7 + 3 + x = 21 + x w h i c h m e a n s x = 6 s a t i s f i e s t h e a b o v e c o n d i t i o n .$

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