Which one of the following number is completely divisible by 45?

181560

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331145

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202860

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20335505

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Solution

The correct option is C 202860
$T h e n u m b e r d i v i s i b l e b y 45 w i l l b e d i v i s i b l e b y 9 a n d 5 a s t h e y a r e c o - p r i m e, d i v i s i b i l i t y t e s t o f 9, s u m o f d i g i t s i s i n m u l t i p l e s o f 9 2 + 0 + 2 + 8 + 6 + 0 = 18 I t e n d s i n 0, s o i t i s d i v i s i b l e b y 5, i . e, 202860 i s d i v i s i b l e b y 45$

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