Question

Given an example of a number which is divisible by:
(i) 2 but not by 4.
(ii) 3 but not by 6.
(ii) 4 but not by 8.
(iv) both 4 and 8 but not by 32.

Answer 1

(i) 2 but not by 4
A number is divisible by 2 if units do given is even but it is divisible by 4 if he number formed by tens digit and ones digit is divisible by 4.
$\therefore$ The number can be 222,342 etc.
(ii) 3 but not by 6
A number is divisible by 3 if the sum of its digits is divisible by 3 But a number is divisible by 6, if it is divided by 2 and 3 both
$\therefore$ The numbers can be 333,201 etc.
(iii) 4 but not by 8
A number is divisible by 4 if the number formed by te tens digit and ones digit is divisible by 4 but a number is divisible by 8, if the number formed by hundreds digit,tens digit and ones digit is divisible by 8.
$\therefore$ The numbers can be 333,201 etc.
(iv) Both 4 and 8 but not by 32
A number in which the number formed by the hundreds, tens and one's digit, is divisible by 8 is divisible by 8. It will also divisible by 4 also.
But a number when is divisible by, 4 and 8 both is not necessarily divisible by 32 e.g., 328,5400 etc.