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Home / Doubts and Solutions/JUNIOR/Class 6/Mathematics

What is the least 5-digitnumber  exaclty divisible by 47

Asked by Raja 6th September 2015, 8:35 PM
Answered by Expert
Answer:

C o n s i d e r space t h e space l e a s t space f i v e space d i g i t space n u m b e r comma space 10000 C o n s i d e r space d i v i d i n g space 10000 space b y space 47 rightwards double arrow 10000 over 47 equals 212 cross times 47 plus 36 over 47 T h u s comma space t h e space r e m a i n d e r space i s space 36. N o w space l e t space u s space f i n d space t h e space d i f f e r e n c e space b e t w e e n space t h e space r e m a i n d e r space a n d space t h e space d i v i s o r. D i f f e r e n c e space b e t w e e n space t h e space r e m a i n d e r space a n d space d i v i s o r equals 47 minus 36 equals 11 A d d i n g space t h i s space t o space t h e space l e a s t space p o s s i b l e space 5 space d i v i t space n u m b e r comma space w e space h a v e comma 10000 plus 11 equals 10011 T h u s comma space t h e space l e a s t space p o s s i b l e space 5 space d i g i t space n u m b e r space t h a t space i s space e x a t l y space d i v i s b i l e space b y space 47 space i s space 10011.

Answered by Expert 7th September 2015, 3:28 PM
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