Question

My car's registration number is divisible by 5,10 and 11. find out a possible 5 digit registration number

Answer 1

$\text{Let the registration number of my car is divisible by 5, 10 and 11}\\ \text{and the registration number is 5 digits number.}\\ \\ \text{so in order to find such a possible 5 digit registration number first we}\\ \text{find the Least Common Multiple (LCM) of  the numbers 5, 10 and 11.}\\ \\ \text{Observe that the LCM of 5, 10 and 11 is }110.$

$\text{we neee to find a 5 digit number, so we divide the least 5 digit number by 110. so}\\ \\ \frac{10000}{110}=90.91\\ \\ \text{so one such least 5 digit registration number could be}=110\times 91=10010$

A possible 5 digit registration number divisible by 5, 10 and 11 is: 10010