Question : Directions: The weight of the four boxes is 20, 40, 80, and 90 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes, and in a combination, a box can be used only once?
Option 1: 220
Option 2: 230
Option 3: 150
Option 4: 210
Correct Answer: 220
Solution :
Given:
The weight of the four boxes is 20, 40, 80, and 90 kilograms.
The total weight of all possible combinations of boxes is as follows –
20 + 40 = 60; 20 + 80 = 100; 20 + 90 = 110; 40 + 80 = 120;
40 + 90 = 130; 80 + 90 = 170; 20 + 40 + 80 = 140;
20 + 40 + 90 = 150; 20 + 80 + 90 = 190; 40 + 80 + 90 = 210;
20 + 40 + 80 + 90 = 230
Therefore, there is no total weight of 220 kilograms in any combination. Hence, the first option is correct.
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