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
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Correct Answer: 66
Solution : Given: The average of 4 consecutive numbers is 64.5. Let the 4 numbers be $x$, $x+1$, $x+2$ and $x+3$, respectively. The sum of the 4 numbers $=x+x+1+x+2+x+3=4x+6$ Use the formula, $\text{Average}=\frac{\text{Sum of all values}}{\text{Total number of values}}$ According to the question, $\frac{4x+6}{4}=64.5$ ⇒ $\frac{4x+6}{4}=64.5$ ⇒ $4x+6=258$ ⇒ $4x=252$ ⇒ $x=63$ The largest number among these numbers = 63 + 3 = 66 Hence, the correct answer is 66.
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Question : The average of 4 consecutive numbers is 35.5. Find the highest number among these numbers.
Option 1: 37
Option 2: 36
Option 3: 40
Option 4: 39
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
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 : The average of five consecutive numbers is 53. What is the biggest of these numbers?
Option 1: 52
Option 2: 55
Option 3: 53
Option 4: 54
Question : The average of five consecutive odd numbers is 37. What is the sum of the highest and the lowest number?
Option 1: 8
Option 2: 74
Option 3: 41
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