Question

The greatest number of 4 digits which is divisible by 20 25 40 and 75 is

Answer 1

ANSWER

lcm of 20,25,40,75 is 600

so if four digit number divisible by all these numbers it first divisible by the lowest comman multiple of these numbers.

now consider 4 digit number 9999

now divide it by 600 and subtract remainder from 9999

we get 399 as remainder

so our required number is 9999 - 399 = 9600

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