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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaHardLevel 2

If a number leaves remainder 7 when divided by 9, what is the remainder when its square is divided by 9?

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Answer and explanation

Correct answer: 4

Step 1: The square remainder comes from dividing (7^2=49) by 9. Step 2: (49=9\times5+4), so the remainder is 4. Step 3: In square questions, squaring only the remainder is faster than using the whole number.

Tags

euclids-division-lemmasquare-remaindermodular-thinking

Frequently asked questions

What is the correct answer to this question?

4

Why is this the correct answer?

Step 1: The square remainder comes from dividing (7^2=49) by 9. Step 2: (49=9\times5+4), so the remainder is 4. Step 3: In square questions, squaring only the remainder is faster than using the whole number.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Euclid’s Division Lemma.

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