यदि (a=20q+3), तो (a-5) को (20) से भाग देने पर सही शेषफल क्या होगा?

If (a=20q+3), what is the correct remainder when (a-5) is divided by (20)?

Explanation opens after your attempt
Correct Answer

A. (18)

Step 1

Concept

(a-5=20q-2), but the remainder cannot be negative.

Step 2

Why this answer is correct

(20q-2=20(q-1)+18), so the correct remainder is (18).

Step 3

Exam Tip

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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Mathematics Answer, Explanation and Revision Hints

यदि (a=20q+3), तो (a-5) को (20) से भाग देने पर सही शेषफल क्या होगा? / If (a=20q+3), what is the correct remainder when (a-5) is divided by (20)?

Correct Answer: A. (18). Explanation: 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। / 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.

Which concept should I revise for this Mathematics MCQ?

(a-5=20q-2), but the remainder cannot be negative.

What exam hint can help solve this Mathematics question?

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।