What is the greatest number of 4 digits which is divided by 12 15,20,35 with 10 as remainder in every case
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Prime factor of 12 = 2×2×3
Prime factor of 15 = 3×5
Prime factor of 20 = 2×2×5
Prime factor of 35 = 5×7
LCM of 12, 15, 20, 35 = 420
Largest 4 digit number = 9999
Divide 9999 by 420, we get quotient as 23.
So it means largest 4 digit number is 9660 which is divisible by 12, 15, 20, 35.
So largest 4 digit number which leaves remainder 10 when divided by 12, 15, 20, 35 = 9670.
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