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Question

We have 38 cakes. Each box can hold 5 cakes only. How many boxes we need to pack and how many cakes are unpacked?
  1. 7, 3
  2. 7, 4
  3. 6, 8
  4. 8, 2


Solution

The correct option is A 7, 3
Let number of cakes be a and capacity of box be b.

a = 38, b = 5

By Euclid’s division lemma
a=bq+r, 0r<|b|
38=5×(7)+3, 03<|5|
Therefore, Quotient q = 7and remainder r = 3

We see that 7 boxes are required to pack 38 cakes with 3 cakes left over.

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