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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaHardLevel 1

Which remainders can a number have when divided by 12?

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Answer and explanation

Correct answer: Only from 0 to 11

Step 1: Euclid’s lemma says (0\le r<b). Step 2: Here (b=12), so possible remainders are from 0 to 11. Step 3: Do not forget that 0 is also a possible remainder.

Tags

euclids-division-lemmapossible-remaindersclass-10

Frequently asked questions

What is the correct answer to this question?

Only from 0 to 11

Why is this the correct answer?

Step 1: Euclid’s lemma says (0\le r<b). Step 2: Here (b=12), so possible remainders are from 0 to 11. Step 3: Do not forget that 0 is also a possible 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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