Question

which least number should be added to 1000 so that 53 divides the sum exactly?

Answer 1

$first \: we \: will \: divide \: 1000 \: by \: 15$
1000÷15= 66 and remainder = 10
15×66=990
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we know 990 is a multiple of 15 then the next multiple of 15 is 990+15=1005
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so to make 1000 the multiple of 15 we must add 5 to it...
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so the ANSWER OF YOUR QUESTION IS 5.
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1005÷15=67