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
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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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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
Question : Directions: The weights of the 4 boxes are 90, 40, 80, and 50 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 2: 260
Option 4: 170
Question : Directions: The weights of 4 boxes are 90, 30, 20, and 50 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: 190
Option 2: 170
Option 3: 100
Option 4: 150
Question : Directions: The weights of 4 boxes are 30, 20, 60 and 70 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination a box can be used only once?
Option 1: 180
Option 3: 120
Question : Three boxes of capacities 24 kg, 36 kg, and 84 kg are filled with three varieties of wheat A, B, and C respectively. All three boxes were emptied, the three types of wheat were thoroughly mixed, and the mixture was put back in the three boxes. How many kilograms of type A wheat would be in the third box (in kg)?
Option 1: 10 kg
Option 2: 12 kg
Option 3: 14 kg
Option 4: 16 kg
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