Question : The average of 5 consecutive numbers is A. If the next 3 numbers are also taken, what will be the new average?
Option 1: A + 1
Option 2: A + 1.5
Option 3: A + 2
Option 4: A + 2.5
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Correct Answer: A + 1.5
Solution : The average of 5 consecutive numbers is A. This means the numbers are (A – 2), (A – 1), A, (A + 1), (A +2 ). If the next 3 numbers are also taken, the numbers will be (A – 2), (A – 1), A, (A + 1), (A + 2), (A + 3), (A + 4), (A + 5). The new average will be the average of two middle-term of the consecutive series. i.e., $\frac{A+1+A+2}{2} = A+1.5$ Hence, the correct answer is A + 1.5.
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Question : The average of 7 consecutive odd numbers is A. If the next 3 and the previous 2 odd numbers to these 7 odd numbers are also included, what is the new average of these 12 consecutive odd numbers?
Option 2: A – 2
Option 4: A + 3
Question : The average of seven consecutive even numbers is 12. What will be the new average if the next even number is also considered?
Option 1: 16
Option 2: 13
Option 3: 14
Option 4: 15
Question : There are 32 consecutive natural numbers. The average of the first 13 numbers is $x$. What is the average of the next 19 numbers?
Option 1: $x+15$
Option 2: $x+16$
Option 3: $x+17$
Option 4: $x+18$
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
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
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