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On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
Answer & Solution
Correct Answer:
Option
D
Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder
∴ x = 5k + 3
⇒ x2 = (5k + 3)2
⇒ x2 = (25k2 + 30k + 9)
⇒ x2 = 5 (5k2 + 6k + 1) + 4
∴ On dividing x2 by 5, we get 4 as remainder
∴ x = 5k + 3
⇒ x2 = (5k + 3)2
⇒ x2 = (25k2 + 30k + 9)
⇒ x2 = 5 (5k2 + 6k + 1) + 4
∴ On dividing x2 by 5, we get 4 as remainder
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