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By What Number Should Be 1365 Be Divided to Get 31 as Quotient and 32 as Remainder? - Mathematics

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प्रश्न

By what number should be 1365 be divided to get 31 as quotient and 32 as remainder?

उत्तर

Given: Dividend = 1365, Quotient = 31, Remainder = 32
Let the divisor be x.
Dividend = Divisor × Quotient + Remainder
1365 = x × 31 + 32
⇒ 1365 – 32 = 31 x
⇒ 1333 = 31 x
⇒ x = `1333/31` = 43
Hence, 1365 should be divided by 43 to get 31 as quotient and 32 as remainder.

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अध्याय 1: Real Numbers - Exercises 1

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 1 Real Numbers
Exercises 1 | Q 3

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