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A number leaves remainder 8 when divided by 13. What is the remainder when its square is divided by 13?

Answer and explanation

Correct answer: 12

Step 1: For the square, take (8^2=64). Step 2: (64=13\times4+12), so the remainder is 12. Step 3: Do not write 64 as the final answer because a remainder must be smaller than the divisor.

Related tags

Euclids-Division-LemmaSquare-RemainderExam-OrientedEuclid’s Division LemmaEuclid S Division LemmaReal NumbersMathematicsClass 10 Mcq

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