Question : The average of 5 consecutive natural numbers is 43. The largest of these numbers is:
Option 1: 41
Option 2: 43
Option 3: 45
Option 4: 46
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Correct Answer: 45
Solution : Let the numbers be $x, (x+1), (x+2), (x+3), (x+4)$. Given average = 43 According to the question: Average $=\frac{x+x+1+x+2+x+3+x+4}{5}=43$ ⇒ $\frac{5x+10}{5}=43$ ⇒ $5x+10=215$ ⇒ $5x=205$ ⇒ $x=41$ $\therefore$ The largest natural number $=(x+4)=41+4=45$ Hence, the correct answer is 45.
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Question : The average of 4 consecutive numbers is 64.5. What is the largest number among these numbers?
Option 1: 62
Option 2: 60
Option 3: 67
Option 4: 66
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 1: A + 1
Option 2: A – 2
Option 3: A + 2
Option 4: A + 3
Question : What is the average of the natural numbers from 1 to 43?
Option 1: 32
Option 2: 22
Option 3: 44
Option 4: 43
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 5 consecutive numbers is A. If the next 3 numbers are also taken, what will be the new average?
Option 2: A + 1.5
Option 4: A + 2.5
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