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 : Total numbers = 20 + 30 = 50 Average = $\frac{(20×30)+(30×50)}{20+30}$ = $\frac{600+1500}{50}$ = $\frac{2100}{50}$ = $42$ Hence, the correct answer is 42.
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