Question : The average of 40 results is 15. If 5 is subtracted from each result, then what will be the new average of the results?
Option 1: 12
Option 2: 15
Option 3: 11
Option 4: 10
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Correct Answer: 10
Solution : Given that the average of the 40 results is 15. ⇒ Average = $\frac{\text{Sum of the values}}{\text{Total number of values}}$ ⇒ 15 = $\frac{\text{Sum of the values}}{\text{40}}$ ⇒ Original Sum = 15 × 40 = 600 ⇒ New Sum = Original Sum – (5 × 40) = 600 – 200 = 400 So, the new Average = $\frac{400}{40}$ = 10 Hence, the correct answer is 10.
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Question : The average age of 5 children is 10 years. If two more children of ages 11 years and 16 years join, then what will be the new average age?
Option 1: 11 years
Option 2: 10 years
Option 3: 13 years
Option 4: 12 years
Question : The average of ten numbers is 24. If each number is divided by 2, then what will be the new average?
Option 2: 6
Option 3: 20
Option 4: 5
Question : The average of 10 numbers is 42. If each number is increased by 5, then what will be the new average?
Option 1: 42
Option 2: 47
Option 3: 92
Option 4: 57
Question : The average of 10 numbers is 8. If each number is multiplied by 10, then the new average will be:
Option 1: 80
Option 2: 18
Option 3: 8
Option 4: 50
Question : The average of 20 numbers is 36. If each number is increased by 4, then what will be the new average?
Option 1: 44
Option 2: 46
Option 3: 40
Option 4: 36
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