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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaHardLevel 1

A number leaves remainder 2 when divided by 6. What is the remainder when its cube is divided by 6?

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Answer and explanation

Correct answer: 2

Step 1: For the cube, work with the remainder (2^3=8). Step 2: (8=6\times1+2), so the cube leaves remainder 2. Step 3: In powers, keep the calculation small by using the remainder.

Tags

euclids-division-lemmacube-remainderhard

Frequently asked questions

What is the correct answer to this question?

2

Why is this the correct answer?

Step 1: For the cube, work with the remainder (2^3=8). Step 2: (8=6\times1+2), so the cube leaves remainder 2. Step 3: In powers, keep the calculation small by using the remainder.

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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