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Class 10 Mathematics Real Numbers Euclid’s Division LemmaExpertLevel 3

If (a=31q+25) and (b=31p+28), what is the remainder when (a+b) is divided by 31?

Answer and explanation

Correct answer: 22

Step 1: The two remainders are 25 and 28. Step 2: The sum remainder comes from (25+28=53). Step 3: Since (53=31+22), the final remainder is 22.

Tags

euclids-division-lemmasum-remainderexpert

Frequently asked questions

What is the correct answer to this question?

22

Why is this the correct answer?

Step 1: The two remainders are 25 and 28. Step 2: The sum remainder comes from (25+28=53). Step 3: Since (53=31+22), the final remainder is 22.

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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