Question

A number is divisible by 10, if the right most digit (on
A number is divisible by 11, if the difference betwee
A number is divisible by 12, if it is exactly divisible by
A number is divisible by 15, if it is divisible by both 3 a
Anumber is divisible by 18, if it is divisible by both 9a
A number is divisible by 25, if the two digits are eithe
Exel
Test the divisibility of the following numbers by 2:
(a) 4352
(b) 125294​

Answer 1

Answer:

If the difference of the sum of alternative digits of a number is divisible by 11 then that number is divisible by 11.

In order to check whether a number like 2143 is divisible by 11 following is the procedure.

Group the alternative digits i.e. digits which are in odd places together and digits in even places together. Here, 24 and 13 are two groups.

Take the sum of the digits of each group i.e. 2+4=6 and 1+3=4

Now find the difference of the sums; 6−4=2

If the difference is divisible by 11, then the original number is also divisible by 11. Here 2 is the difference which is not divisible by 11.

Therefore, 2143 is not divisible by 11.

Hence, the statement a number is divisible by 11 if the difference of sums of even and odd places is 0 or a multiple of 11 is true.

Answer 2

Answer:

a.) The last digit of 4352 is 2 so it is divissible by 2 as 2 is a multiple of 2

b.) The last digit of 125294 is 4 so it is divissible by 2 as 4 is a multiple of 2