Multiple choice

A number when divided by 5 leaves 3 as remainder. if the square of the same number is divided by 5, the remainder obtained is

  1. 9

  2. 4

  3. 1

  4. 3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number be 5k + 3. The square of the number is (5k + 3)^2 = 25k^2 + 30k + 9. Dividing this by 5, the remainder is the same as 9 divided by 5, which is 4.

AI explanation

Let the number be represented as 5k + 3. The square of this number is (5k + 3)^2, which expands to 25k^2 + 30k + 9. When dividing this by 5, the terms 25k^2 and 30k are perfectly divisible by 5. The remainder comes from dividing 9 by 5, which leaves a remainder of 4.

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