Question : Directions: The weights of the four boxes are 90, 30, 40, and 60 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes, and in combination, a box can be used only once?
Option 1: 200
Option 2: 220
Option 3: 180
Option 4: 130
Correct Answer: 200
Solution :
Given:
The weights of the four boxes are 90, 30, 40, and 60 kilograms.
The total weight of all possible combinations of boxes is as follows –
90 + 30 = 120; 90 + 40 = 130; 90 + 60 = 150; 30 + 40 = 70;
30 + 60 = 90; 40 + 60 = 100; 90 + 30 + 40 = 160;
90 + 30 + 60 = 180; 90 + 40 + 60 = 190; 30 + 40 + 60 = 130;
90 + 30 + 40 + 60 = 220
Therefore, there is no total weight of 200 kilograms in any combination. Hence, the first option is correct.
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