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 1: 200
Option 2: 260
Option 3: 180
Option 4: 170

Question

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 1: 200

Option 2: 260

Option 3: 180

Option 4: 170

Team Careers360 · Accepted Answer

Correct Answer: 200

Solution : Given:
The weights of 4 boxes are 90, 40, 80, and 50 kilograms.

The total weight of all possible combinations of boxes is as follows –
90 + 40 = 130; 90 + 80 = 170; 90 + 50 = 140; 40 + 80 = 120;
40 + 50 = 90; 80 + 50 = 130; 90 + 40 + 80 = 210;
90 + 40 + 50 = 180; 90 + 80 + 50 = 220; 40 + 80 + 50 = 170;
40 + 80 + 50 + 90 = 260

Therefore, there is no total weight of 200 kilograms in any combination. Hence, the first option is correct.

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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 1: 200
Option 2: 260
Option 3: 180
Option 4: 170

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Option 3: 180
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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 1: 200Option 2: 260Option 3: 180Option 4: 170

Related Questions

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: 200Option 2: 220Option 3: 180Option 4: 130

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: 190Option 2: 170Option 3: 100Option 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: 180Option 2: 170Option 3: 120Option 4: 150

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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 kgOption 2: 10 kgOption 3: 25 kgOption 4: 15 kg