Question : The average weight of a group of 20 persons is 40 kg. The average weight of another group of 40 persons is K kg. If the average weight of all the 60 persons is 60 kg, then what is the value of K?
Option 1: 80
Option 2: 60
Option 3: 40
Option 4: 70
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Correct Answer: 70
Solution : Now, using the average formula, the total weight of all 60 persons is 60 × 60 kg. ⇒ (20 × 40) + (40 × K) = 60 × 60 ⇒ 800 + 40K = 3600 ⇒ 40K = 3600 – 800 = 2800 ⇒ K = $\frac{2800}{40}$ ⇒ K = 70 Hence, the correct answer is 70.
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Question : The average weight of six persons is 30 kg. If a new person joins this group, then the average weight becomes 28 kg. What is the weight of the new person?
Option 1: 22 kg
Option 2: 14 kg
Option 3: 15 kg
Option 4: 16 kg
Question : In a class, the average weight of 4 boys is 50 kg and the average weight of 4 girls is 40 kg. What is the average weight of all the 8 students taken together?
Option 1: 44 kg
Option 2: 48 kg
Option 3: 45 kg
Option 4: 42 kg
Question : A group of students has an average weight of 42 kg. One student of weight 48 kg leaves the group and another student of weight 44 kg joins the group. If the new average weight becomes 41.6 kg, then how many students are there in the group?
Option 1: 15
Option 2: 10
Option 3: 8
Option 4: 12
Question : The average weight of the 25 members of the group is 39 kg. The average weight of 27 members of another group is 21 kg. What will be the total weight of the members of both groups?
Option 1: 1426 kg
Option 2: 1542 kg
Option 3: 1507 kg
Option 4: 1714 kg
Question : The average weight of 9 boxes is 61 kg. If three boxes having an average weight of 70 kg are removed, then what will be the new average weight of the remaining boxes?
Option 1: 55.5 kg
Option 2: 54 kg
Option 3: 56.5 kg
Option 4: 45.5 kg
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