Question : The average of the first 7 integers in a series of 13 consecutive odd integers is 37. What is the average of the entire series?
Option 1: 37
Option 2: 39
Option 3: 41
Option 4: 43
Correct Answer: 43
Solution : Given: The average of the first 7 integers in a series of 13 consecutive odd integers is 37. The average of the first 7 integers is 37. So, the $(\frac{7+1}{2})$ = 4th term is 37. Thus, the series of integers = 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55 Now, the average of the entire series = $(\frac{31+55}{2})$ = 7th term of the series = 43 Hence, the correct answer is 43
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Question : The average of the first 7 integers in a series of 13 consecutive odd integers is 37, what is the average of the entire series?
Question : The average of five consecutive odd numbers is 27. What is the product of the first and the last number?
Option 1: 621
Option 2: 667
Option 3: 713
Option 4: 725
Question : The average of $n$ observations is 40. If one observation of value 80 is added, then the average of all the observations is 41. What is the value of $n$?
Option 1: 40
Option 3: 38
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 35, ?, 40, 47, 45, 53
Option 2: 43
Option 3: 42
Option 4: 41
Question : Directions: Which number will replace the question mark (?) to complete the given series? 85, 64, 51, 44, 41, ?
Option 2: 40
Option 4: 39
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