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What is the greatest umber of 5 digits which when divided by 16,24,30 and 36, the no 10 will be remainder in each case

Respuesta :

Let  x  be the unknown number. 
Then  x-10  is divisible by  16,  24,  30 and  36, according to the condition. 

It implies that  x-10  is divisible by 2^4, 5 and 9 .  x-10  is divisible by  16*5*9 = 720. 
The greatest  5-digits number divided by  720  is  99360  
It means that  x-10 = 99360. 
 x = 99370.  

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