Question : The average weight of 12 persons increases by 3.5 kg when a new person comes in place of one of them weighing 58 kg. The weight of the new person is:
Option 1: 100 kg
Option 2: 16 kg
Option 3: 70 kg
Option 4: 42 kg
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Correct Answer: 100 kg
Solution : Let the average weight of 12 persons be $x$. Total weight of 12 persons = $12x$ If a person with 58 kg weight is replaced by a new person of $y$ kg weight, Average weight increases by 3.5 kg. ⇒ $12x - 58 + y = 12(x + 3.5)$ ⇒ $12x - 58 + y = 12x + 42$ $\therefore y = 58 + 42 = 100$ kg Hence, the correct answer is 100 kg.
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Question : The average weight of 5 men decreases by 3 kg when one of them weighing 150 kg is replaced by another person. Find the weight of the new person.
Option 1: 125 kg
Option 2: 100 kg
Option 3: 120 kg
Option 4: 135 kg
Question : The average weight of three men is increased by 4 kg when one of them, whose weight is 100 kg, is replaced by another man. What is the weight of the new man?
Option 1: 107 kg
Option 2: 103 kg
Option 3: 104 kg
Option 4: 112 kg
Question : The average weight of the first 11 people among 12 people is 95 kg. The weight of the 12th person is 33 kg more than the average weight of all 12 people. The weight of the 12th person is:
Option 1: 128.75 kg
Option 2: 128 kg
Option 3: 131 kg
Option 4: 97.45 kg
Question : A group of boys has an average weight of 36 kg. One boy weighing 42 kg leaves the group and another boy weighing 30 kg joins the group. If the average now becomes 35.7 kg, then how many boys are there in the group?
Option 1: 30
Option 2: 32
Option 3: 40
Option 4: 56
Question : In a class of 60 students, there are 35 boys. The average weight of boys is 42 kg and the average weight of the full class is 46.5 kg. Find the average weight of girls in the class.
Option 1: 48.7 kg
Option 2: 49.7 kg
Option 3: 52.8 kg
Option 4: 56.7 kg
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