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
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Correct Answer: A + 1
Solution : 7 consecutive odd numbers as $x, x+2,x+4, x+6,x+8, x+10, x+12$. So, A = $x+6$ (Midterm is the average) Since the average of 7 consecutive odd numbers is A, so the sum of these numbers is 7A ⇒ The next 3 odd numbers are $x +14,x +16, x +18$ and previous 2 odd numbers are $x-2 , x-4$ ⇒ New Average = $\frac{((x-2)+(x-4)+x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)+(x+12)+(x+14)+(x+16)+(x+18))}{12}$ = $\frac{12x +84}{12}$ = $x + 7$ = A +1 Hence, the correct answer is A +1.
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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
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 : The average of five consecutive odd numbers is 15. What is the smallest of these five numbers?
Option 1: 11
Option 3: 15
Option 4: 9
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 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
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