Question : The average of ten numbers is 24. If each number is divided by 2, then what will be the new average?
Option 1: 12
Option 2: 6
Option 3: 20
Option 4: 5
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Correct Answer: 12
Solution : The average of ten numbers = 24 Let's assume the sum of the ten numbers is S. Then, according to the given information, we have: Average = $\frac{\text{Sum of the numbers}}{\text{Total numbers}}$ = $\frac{\text{S}}{10}$ = 24 ⇒ S = 240...(1) Now, if each number is divided by 2, the new sum of the numbers would be = $\frac{\text{S}}{2}$ So, the new average would be = $\frac{\frac{\text{S}}{2}}{10}$ = $\frac{\text{S}}{20}$ But, from equation (1), we know that S = 240. Substituting this value in the above expression, we get: New average = $\frac{\text{S}}{20}$ = $\frac{240}{20}$ = 12 $\therefore$ The new average of the ten numbers if each number is divided by 2 is 12. Hence, the correct answer is 12.
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Question : The average of 21 numbers is 60. If each number is increased by 20, then find the number by which the average is increased.
Option 2: 18
Option 3: 15
Option 4: 20
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
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 3: 8
Option 4: 50
Question : The average of 11 numbers is 8. If every number is tripled, then what will be the new average of the numbers?
Option 1: 8
Option 2: 24
Option 3: 16
Option 4: 32
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