Question

if n divided by 3 leaves the remainder 1,then n3 also leaves 1 as remainder when divided.​

Answer 1

Answer:

The required number is 4.

Step-by-step explanation:

n/3-1=multiple of 3

n³/3-1=multiple of 3

So if n be 4 then, n/3=4/3(leaves a remainder 1)

n³/3=64/3(leaves the remainder 1).

Answer 2

By taking three different, values of n verify the truth of the given statement :

Statement : If n leaves remainder 1 when divided by 3, then n³ also leaves 1 as remainder when divided by 3.

Verification : Let's take three different values of n such as 4, 7 and 10. If we carry out the division, then we will find that, each of these values of n leaves remainder 1 when divided by 3.

Now, 4³ = 64 ; 7³ = 343 ; 10³ = 1000

We can see that if we divide these cubes (i.e., 4³, 7³ and 10³) by 3, we get 1 as remainder in each case.

Hence, if n leaves remainder 1 when divided by 3, then n³ also leaves 1 as remainder when divided by 3. [VERIFIED]