Write all the possible numbers between 2000 and 2100, that are divisi

1.	Write all the possible numbers between 2000 and 2100, that are divisible by 11.
Answer» Numbers between 2000 and 2100 are 2001, 2002, 2003, ……… , 2097, 2098, 2099. If we divide 2000 by 11 we get remainder 9. By adding 2 to the 2000, then we get 2002. Check by 11 divisibility rule, 2002 is divisible by 11. (difference of sum of odd places digits and sum of even places digits is ‘0’.) Then 11 multiples after 2002 are 2013, 2024, 2035, 2046, 2057, 2068, 2079, 2090, 2101, …… 2112. Therefore, 2002, 2013, 2024, 2035, 2046, 2057, 2068, 2079 and 2090 are the numbers divisible by 11 in between 2000 and 2100.

Write all the possible numbers between 2000 and 2100, that are divisible by 11.

Answer»

Numbers between 2000 and 2100 are 2001, 2002, 2003, ……… , 2097, 2098, 2099.

If we divide 2000 by 11 we get remainder 9.

By adding 2 to the 2000, then we get 2002.

Check by 11 divisibility rule, 2002 is divisible by 11. (difference of sum of odd places digits and sum of even places digits is ‘0’.)

Then 11 multiples after 2002 are 2013, 2024, 2035, 2046, 2057, 2068, 2079, 2090, 2101, …… 2112.

Therefore, 2002, 2013, 2024, 2035, 2046, 2057, 2068, 2079 and 2090 are the numbers divisible by 11 in between 2000 and 2100.