Question

5. Find the least number that should be added to 36,516 so that the
result is exactly divisible by 456.
(Hint: you have to add (456 - remainder) to 36,516)
6. A fruit seller had 4,64,367 oranges. He packed them in boxes, with
each box containing 325 oranges. Find the number of boxes and
the number of oranges left over.​

Answer 1

Step-by-step explanation:

5.

By using division algorithm:

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Dividend = divisor × quotient +

remainder

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According to the problem ,

Dividend = 36516

Divisor = 456

36516 = 456 × 80 + 36

To find the least number which

should be added to dividend

We use following rule :

least number = divisor - remainder

least number = 456 - 36 = 420

Therefore Required least number =

420

420 is the least number which should

be added to the 36516 so that the

new Dividend is exactly divisible by

456.

Verification:

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New dividend = 36516 + 420 = 36936

36936 = 456 × 81 + 0

Remainder = 0

36936 is exactly divisible by 456.