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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaMediumLevel 2

If (a=18q+20), what is the correct remainder when (a) is divided by (18)?

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Answer and explanation

Correct answer: (2)

Step 1: (20) cannot be the remainder because it is greater than (18). Step 2: (20=18+2), so (18q+20=18(q+1)+2). Step 3: The correct remainder always lies from (0) to one less than the divisor.

Tags

real-numbersalgebraic-remaindereuclid-form

Frequently asked questions

What is the correct answer to this question?

(2)

Why is this the correct answer?

Step 1: (20) cannot be the remainder because it is greater than (18). Step 2: (20=18+2), so (18q+20=18(q+1)+2). Step 3: The correct remainder always lies from (0) to one less than the divisor.

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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