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
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Correct Answer: 150
Solution : Given: The weights of 4 boxes are 90, 30, 20, and 50 kilograms.
The total weight of all possible combinations of boxes is as follows – 90 + 30 = 120; 90 + 20 = 110; 90 + 50 = 140; 30 + 20 = 50; 30 + 50 = 80; 20 + 50 = 70; 90 + 30 + 20 = 140; 90 + 30 + 50 = 170; 90 + 20 + 50 = 160; 30 + 20 + 50 = 100; 90 + 30 + 20 + 50 = 190
Therefore, there is no total weight of 150 kilograms in any combination. Hence, the fourth 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
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 : 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 2: 220
Option 4: 130
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 average weight of 100 students is 32 kg. The average weight of the first 49 students is 30 kg and that of the last 50 students is 34 kg. What is the weight (in kg) of the 50th student?
Option 1: 25
Option 2: 30
Option 3: 32
Option 4: 33
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