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Class 10 Mathematics Real Numbers Euclid’s Division LemmaExpertLevel 1

If (a=19q+16) and (b=19p+15), what is the remainder when (a+b) is divided by 19?

Answer and explanation

Correct answer: 12

Step 1: The two remainders are 16 and 15. Step 2: The sum remainder comes from (16+15=31). Step 3: Since (31=19+12), the final remainder is 12.

Tags

euclids-division-lemmasum-remainderexpert

Frequently asked questions

What is the correct answer to this question?

12

Why is this the correct answer?

Step 1: The two remainders are 16 and 15. Step 2: The sum remainder comes from (16+15=31). Step 3: Since (31=19+12), the final remainder is 12.

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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