Check whether the statement is valid or not. The square of a natural number other than 1 is either a multiple of 3 or exceeds a multiple of 3 by 1

Open in App

Solution

Above statement is valid :

The Square of a natural number other than one is either a multiple of 3 or exceeds a multiple of 3 by 1.
In other words, a perfect square leaves remainder 0 or 1 on division by 3

example:

natural number = 4
square of 4 = 16
remander of (16/3) = 1

Suggest Corrections

Similar questions

q (t) = 4 t^{3} + 4 t^{2} - t - 1

(2 t + 1)

p (x) = x^{3} - 5 x^{2} + 4 x - 3, g (x) = x - 2

\leq 2

Check the validity of the following statements :

(i) p : 100 is a multiple of 4 and 5.

(ii) q : 125 is a multiple of 5 and 7.

(iii) r : 60 is a multiple of 3 or 5.

Join BYJU'S Learning Program