Question : 10 consecutive numbers are given. If the average of the two numbers given in the middle is 13.5, then what is the sum of the first 6 numbers?
Option 1: 58
Option 2: 55
Option 3: 67
Option 4: 69
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 69
Solution :
Given that the average of two middle numbers in a list of 10 consecutive numbers is 13.5.
Let the smaller one be $x$.
Therefore, the next number is $x+1$.
The average of these two numbers is given by:
$⇒\frac{x + (x+1)}{2} = 13.5$
$\therefore x = 13$
Therefore, the two middle numbers are 13 and 14.
Since these are the 5th and 6th numbers in the list of 10 consecutive numbers.
The first number in the list will be 13 – 4 = 9
The sum of the first 6 numbers in this list = 9 + 10 + 11 + 12 + 13 + 14 = 69
Hence, the correct answer is 69.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CHSL
