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Integers

In a division...

Question

In a division sum, the divisor is 12 times the quotient and 5 times the remainder. If the remainder is 48, then what is the dividend?

A

240

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B

576

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C

4800

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D

4848

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Solution

The correct option is A 4848
$D = d q + r$
$d = 12 q, d = 5 r$
as $r = 48 \Rightarrow d = 240$
hence $q = 20$
$∴ D = 240 \times 20 + 48 = 4848$

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