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If (a=20q+3), what is the correct remainder when (a-5) is divided by (20)?यदि (a=20q+3), तो (a-5) को (20) से भाग देने पर सही शेषफल क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (18)(18)
Step 1: (a-5=20q-2), but the remainder cannot be negative. Step 2: (20q-2=20(q-1)+18), so the correct remainder is (18). Step 3: If a negative remainder appears, reduce the quotient by one and make the remainder positive.चरण 1: (a-5=20q-2) मिलता है, पर शेषफल ऋणात्मक नहीं हो सकता। चरण 2: (20q-2=20(q-1)+18), इसलिए सही शेषफल (18) है। चरण 3: ऋणात्मक शेषफल दिखे तो भागफल एक घटाकर शेषफल धनात्मक बनाएं।
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