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Problems on HCF and LCM - General Aptitude

Q1:

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

A 9000

B 9400

C 9600

D 9800

ANS:C - 9600

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.