Question : The average of a set of 15 consecutive even numbers is 64. What is the difference between the largest and the smallest numbers belonging to this set?
Option 1: 26
Option 2: 27
Option 3: 25
Option 4: 28
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Correct Answer: 28
Solution : Use : an = a + (n - 1)d, where an = nth term of largest term of A.P a = first term, n = number of terms, d = common difference According to the question n = 15 and d = 2 ⇒ Difference between first term and the last term = a + (n – 1)d – a = (15 – 1)2 = 14 × 2 = 28 Hence, the correct answer is 28
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Question : The average of five consecutive odd numbers is 15. What is the smallest of these five numbers?
Option 1: 11
Option 2: 13
Option 3: 15
Option 4: 9
Question : The average of 8 consecutive integers is $\frac{27}{2}$. What is the average of the largest four of these integers?
Option 1: 16.5
Option 2: 15
Option 3: 14.5
Option 4: 15.5
Question : The average of the three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is:
Option 1: 65
Option 2: 95
Option 3: 105
Option 4: 115
Question : The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is:
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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