Find the largest 4 digit number which when divided by 4,7 and 13 leaves a remainder of 3 in each case

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Solution

Dear student,

$F i r s t f i n d t h e L C M (4, 7, 13) i . e 364 L a r g e s t 4 d i g i t n u m b e r = 9999 O n d i v i d n g 9999 b y 364 w e g e t r e a m i n d e r a s 171 S o 9999 - 171 = 9828 + 3 = 9831 T h e r e f o r e 9831 i s t h e n u m b e r .$

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