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
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
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.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : Three numbers are such that the average of the first two numbers is 2, the average of the last two numbers is 3 and the average of the first and last number is 4, then the average of the three numbers is equal to:
Question : Three numbers are such that the average of the first two numbers is 2, the average of the last two numbers is 3 and the average of the first and the last numbers is 4. What is the average of the three numbers?
Question : The sum of the cubes of two given numbers is 10234, while the sum of the two given numbers is 34. What is the positive difference between the cubes of the two given numbers?
Question : The product of two consecutive prime numbers is 7387. What is the difference of the two numbers?
Question : The average of 6 consecutive even numbers is 35. What will be the sum of the smallest and largest even number among these 6 numbers?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile