If (a) leaves remainder 9 when divided by 17 and (b) leaves remainder 13 when divided by 17, what is the remainder when (4a+3b) is divided by 17?
Advertisement
Answer and explanation
Correct answer: 7
Step 1: In (4a+3b), the remainder part is (4\times9+3\times13=75). Step 2: (75=17\times4+7), so the remainder is 7. Step 3: In multi-term expressions, handle each term’s remainder separately.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
Step 1: In (4a+3b), the remainder part is (4\times9+3\times13=75). Step 2: (75=17\times4+7), so the remainder is 7. Step 3: In multi-term expressions, handle each term’s remainder separately.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Euclid’s Division Lemma.
Advertisement