Question

What is the gretest four digit number divided by 15,25,40 and75?

Answer 1

LCM OF 15, 25, 40 and 75 is 600.
Greatest 4 digit number is 9999.
9999 when divides by 600 leaves a remainder 399.
9999-399=9600

So 9600 is the greatest 4 digit number divided by 15, 25, 40 and 70

Answer 2

Greatest number of 4-digits is $9999.$

L.C.M. of $15, 25, 40$ $and$$75$is $600.$

On dividing $9999$ by $600,$the remainder is $399.$

∴ Required number $(9999 - 399) = 9600$ ANSWER

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