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The greatest number of four digits which is divisible by 15, 20, 25, and 45 is:
Question

The greatest number of four digits which is divisible by 15, 20, 25, and 45 is:

A.

9990

B.

9090

C.

9900

D.

9000

Correct option is C

Given:
The given numbers = 15, 20, 25, 45.
Solution:
LCM of (15, 20, 25, 45) = 900
The Greatest of 4 digit numbers = 9999
Now, Divide 9999 from 900 we get the remainder = 99.
Now subtract 99 from 9999 we get,
Required number = 9999 - 99
Required number = 9900
 

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