Given an example of a number which is divisible by(i) 2 but not by 4.(

1.	Given an example of a number which is divisible by(i) 2 but not by 4.(ii) 3 but not by 6.(iii) 4 but not by 8.(iv) Both 4 and 8 but not by 32
Answer» (i) 2 but not by 4. Any number which follows the formula of 4n + 2 is an example of a number divisible by 2 but not by 4. i.e., 10 where n = 1. (ii) 3 but not by 6. Any number which follows the formula of 6n + 3 is an example of a number divisible by 3 but not by 6. i.e., 15 where n = 1. (iii) 4 but not by 8. Any number which follows the formula of 8n + 4 is an example of a number divisible by 4 but not by 8. i.e., 28 where n = 1. (iv) Both 4 and 8 but not by 32 Any number which follows the formula of 32n + 8 or 32n + 16 or 32n +24 is an example of a number divisible by both 4 and 8 but not by 32. i.e., 48 where n = 1.

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

Answer»

(i) 2 but not by 4.

Any number which follows the formula of 4n + 2 is an example of a number divisible by 2 but not by 4.

i.e., 10 where n = 1.

(ii) 3 but not by 6.

Any number which follows the formula of 6n + 3 is an example of a number divisible by 3 but not by 6.

i.e., 15 where n = 1.

(iii) 4 but not by 8.

Any number which follows the formula of 8n + 4 is an example of a number divisible by 4 but not by 8.

i.e., 28 where n = 1.

(iv) Both 4 and 8 but not by 32

Any number which follows the formula of 32n + 8 or 32n + 16 or 32n +24 is an example of a number divisible by both 4 and 8 but not by 32.

i.e., 48 where n = 1.