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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


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: 28


Solution : Use :
a n = a + (n - 1)d, where
a n = n th 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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