The greatest number of four digits which is divisible by 15, 24, 40 and 75 is :	Pick:
A) 9000  B) 9400  C) 9600  D) 9800  E) None of these
Solution   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)= 
<gadget id="calculator">(9999 - 399)</gadget>
<output>9_600</output>
9600. Answer 9600
<result>C</result>
The greatest number of four digits which is divisible by 15, 24, 40 and 75 is :