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
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Correct Answer: 131 kg
Solution : Let the average weight of the 12 people be $x$. Then, the weight of the 12th person is $(x+33)$. Total weight of all 12 people = $(11×95) + x +33$ Average weight of all 12 people = $\frac{(11×95)+x+33}{12}$ It is given that: ⇒ $x =\frac{(11×95)+x+33}{12}$ ⇒ $x =\frac{1045+x+33}{12}$ ⇒ $x =\frac{1078+x}{12}$ ⇒ $12x=1078+x$ ⇒ $11x=1078$ ⇒ $x=\frac{1078}{11}$ $\therefore x=98$ $\therefore$ The weight of the 12th person is = 98 + 33 = 131 kg Hence, the correct answer is 131 kg.
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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
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
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 a team of 20 people was calculated to be 59.8 kg and it was later discovered that one weight was misread as 68 kg instead of 77 kg. The correct average weight is:
Option 1: 70.25 kg
Option 2: 61.25 kg
Option 3: 60.25 kg
Option 4: 60.50 kg
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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