Question

Out of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is at least

Answer 1

Answer:

At least =128

At most =144

Average =144 - 120/2

=12

Average +at least =132

Answer +132

Answer 2

Answer:

Since it is at least, we look at the worst scenario.

Since it is at least, we look at the worst scenario.All have same number of oranges, so 144-120+1 or 25 integer values as number of possible oranges in each box and number of box that will have same number of oranges=128/25 = 5.1 boxes.

Since it is at least, we look at the worst scenario.All have same number of oranges, so 144-120+1 or 25 integer values as number of possible oranges in each box and number of box that will have same number of oranges=128/25 = 5.1 boxes.This means at least 6 as 5.1 will go to next integer 6.So even if we distribute oranges event, there will be at least 6 boxes having same number of oranges