The average of 11 numbers is 28. If the average of first 5 numbers is 23 and the average of next 5 numbers is 25, then find the 11th number.

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RRB NTPC Exam 19 Jan 2021 click here to view all questions

The average of 11 numbers is 28. If the average of first 5 numbers is 23 and the average of next 5 numbers is 25, then find the 11th number.

A68

B58

C73

D63

Akhilesh ? Apr 17 '25 at 21:39

Correct Answer: [68]

Explanation:

Let's solve the problem step by step.

Steps:

1. The average of 11 numbers is 28. Therefore, the total sum of all 11 numbers is:

   \( 11 \times 28 = 308 \)

2. The average of the first 5 numbers is 23. Therefore, the total sum of the first 5 numbers is:

   \( 5 \times 23 = 115 \)

3. The average of the next 5 numbers is 25. Therefore, the total sum of the next 5 numbers is:

   \( 5 \times 25 = 125 \)

4. Add the sums of the first 5 and next 5 numbers:

   \( 115 + 125 = 240 \)

5. Subtract this sum from the total sum of all 11 numbers to find the 11th number:

   \(308 - 240 = 68 \)

Final Answer: \(\boxed{68}\)

All DiscussionsClick here to write answer

Correct Answer: [68] Explanation: Let's solve the problem step by step. Steps: The average of 11 numbers is 28. Therefore, the total sum of all 11 numbers is: \( 11 \times 28 = 308 \) The average of the first 5 numbers is 23. Therefore, the total sum of the first 5 numbers is: \( 5 \times 23 = 115 \) The average of the next 5 numbers is 25. Therefore, the total sum of the next 5 numbers is: \( 5 \times 25 = 125 \) Add the sums of the first 5 and next 5 numbers: \( 115 + 125 = 240 \) Subtract this sum from the total sum of all 11 numbers to find the 11th number: \(308 - 240 = 68 \) Final Answer: \(\boxed{68}\) Akhilesh ? answered Apr 17 '25 at 21:39

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