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Which of the following is the correct Euclidean form for dividing (87) by (13)?नीचे दिए गए रूपों में से (87) को (13) से भाग देने का सही यूक्लिडीय रूप कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (87=13 \times 6+9)(87=13 \times 6+9)
Step 1: (13 \times 6=78) and (87-78=9). Step 2: Since (9) is less than (13), (87=13 \times 6+9) is correct. Step 3: A negative remainder or a remainder greater than the divisor does not give the correct Euclidean form.चरण 1: (13 \times 6=78) और (87-78=9)। चरण 2: (9), (13) से छोटा है, इसलिए (87=13 \times 6+9) सही है। चरण 3: ऋणात्मक या भाजक से बड़ा शेषफल सही यूक्लिडीय रूप नहीं देता।
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