Suppose there is a number 'n'. When 'n' is divided by 5, the remainder will be…

Step-by-Step Solution

To find the remainder when a number squared is divided by a divisor, you can apply the operation directly to the remainder of the original number.

1. Understand the Relationship: If a number n leaves a remainder r when divided by d, then n^2 will leave the same remainder as r^2 when divided by d. In this problem, n divided by 5 leaves a remainder of 2.

2. Apply to the Squared Term: We need the remainder of n^2 divided by 5. Square the original remainder: 2^2 = 4. Since 4 is less than the divisor (5), the remainder when n^2 is divided by 5 is simply 4.

Alternatively, as shown in the solution, you can pick a number that satisfies the initial condition:

• Let n = 7 (because 7 ÷ 5 leaves a remainder of 2).

• Then n^2 = 7^2 = 49.

• Dividing 49 by 5: 49 = (9 * 5) + 4.

• The remainder is 4.