Sum of two consecutive odd numbers is always divisible by 4.

Write (T) for true and (F) for false against each of the following statements : (i) If a number is divisible by 4. it must be divisible by 8 . (ii) If a number is divisible by 8 . it must be divisible by 4 . (iii) If a number divides the sum of two number exactly. it must exactly divide the num .bers separately. (iv) If a number is divisible by both 9 and 10 . it must be divisible by 90. (v) A number is divisible by 18 if it is divisible by both 3 and 6 . (vi) If a number is divisible by 3 and 7 . it must be divisible by 21. (vii) The sum of two consecutive odd number is always divisible by 4 . (viii) If a number divides two number exactly. it must divide their sum exactly.

The sum of three consecutive odd numbers is always divisible by I. 2 II. 3 III. 5 IV. 6 Only I (b) Only II (c) Only I and II (d) Only I and III

The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.

The difference between the squares of two consecutive odd integers is always divisible by 3quad ( b) 6, (c) 7

The sum of 3 consecutive even numbers is always divisible by :

The difference between the squares of two consecutive odd integers is always divisble by