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 2: 170
Option 3: 120
Option 4: 150
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Correct Answer: 170
Solution : Given: The weights of 4 boxes are 30, 20, 60 and 70 kilograms.
The total weight of all possible combinations of boxes is as follows – 30 + 20 = 50; 30 + 60 = 90; 30 + 70 = 100; 20 + 60 = 80; 20 + 70 = 90; 60 + 70 = 130; 30 + 20 + 60 = 110; 30 + 60 + 70 = 160; 30 + 20 + 70 = 120; 20 + 60 + 70 = 150; 20 + 60 + 70 + 30 = 180
Therefore, there is no total weight of 170 kilograms in any combination. Hence, the second option is correct.
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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 3: 100
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 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
Question : The sum of weights of A and B is 80 kg. 50% of A's weight is $\frac{5}{6}$ times the weight of B. Find the difference between their weights.
Option 1: 20 kg
Option 2: 10 kg
Option 3: 25 kg
Option 4: 15 kg
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