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March 6, 2008

Box Match

The following numbers are made up of matchticks ("0" with 6 matchsticks,"1" with 3 etc...). Write a 4-digit number (without a leading 0) with the digits in the given matchstick forms, so that when this number is divided by the number of matchsticks it's formed of, the quotient is a whole number (0,1,2...) Maximise the quotient ?

Example

4 comments:

Eldhose said...

9999
matchstcks=5*4
=20
9999/20=500(approx)

s.arun said...

9940/20=integer

Anonymous said...

9994/19=526
9612/18=534

Raghav said...

Ans. is 9111/14 = 650.78