Question : The average of 20 numbers is 30 and that of the other 30 numbers is 50. What is the average of all the numbers?
Option 1: 42
Option 2: 47
Option 3: 44
Option 4: 45
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Correct Answer: 42
Solution : The sum of the 20 numbers = 20 × 30 = 600 The sum of the other 30 numbers = 30 × 50 = 1500 The total sum of both sets of numbers = 600 + 1500 = 2100 Total numbers = 20 + 30 = 50 $\therefore \text{Average}=\frac{\text{Sum of all numbers in both of the set of numbers}}{{\text{Total numbers}}}=\frac{2100}{50} = 42$ Hence, the correct answer is 42.
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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 : The average of 4 numbers is 45. The average of the first two numbers is thrice the average of the other two numbers. What is the sum of the first two numbers?
Option 1: 122
Option 2: 105
Option 3: 125
Option 4: 135
Question : The average age of 30 students is 20 years and the average age of 20 other students is 30 years. The average age of the total number of students is:
Option 1: 24 years
Option 2: 25 years
Option 3: 48 years
Option 4: 50 years
Question : The average of 5 numbers is 48. The average of the two numbers is 40 while the average of the other two is 58. Find the value of the remaining number.
Option 1: 44
Option 2: 34
Option 3: 40
Option 4: 30
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