Question: A shop owner can fit 8 large boxes or 10 medium boxes into a container for delivery. In one consignment, he distributes a total of 96 boxes. If there are more large boxes than medium boxes, how many containers did he ship?
- A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?
- How did you come up with this answer>
Question Details:
You are looking for the interviewee’s logic and math skills to think of the answer.
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A total of 96 boxes are shipped.
The large boxes in the containers must be a multiple of 8.
The medium boxes must be a multiple of 10.
There must be more large boxes in the containers than the medium boxes, so the number of large boxes must be at least more than half of the number of boxes shipped, which is 96/2 = 48.
Working up from that, the number of large boxes could be 8*6 = 48. However, this is cannot be, because 48 is not more than half of the boxes shipped, 48, and the remaining number of medium boxes, 96-48 = 48, is not a multiple of 10.
Working up from that, the number of large boxes could be 8*7 = 56. This is most likely the correct number of large boxes as, 56 is more than half the boxes, 48, and the remaining number of medium boxes, 96 – 56 = 40, is a multiple of 10.
Therefore, a total of 11 containers are shipped. This is made up of 7 containers of large boxes and 40/10 = 4 containers of medium boxes.