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The average of 31 numbers is 57. The average of the first 10 numbers is 50 and that of the last 20 numbers is 61. What is the 11th number?
- a)44
- b)45
- c)46
- d)47
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The average of 31 numbers is 57. The average of the first 10 numbers i...
Last 20 number = 12th to 31st
So remaining is 11th number.
So the answer = 31 × 57 – 10 × 50 – 20 × 61 = 47
Hence, Option D is correct.
So remaining is 11th number.
So the answer = 31 × 57 – 10 × 50 – 20 × 61 = 47
Hence, Option D is correct.
Most Upvoted Answer
The average of 31 numbers is 57. The average of the first 10 numbers i...
Given information:
- Average of 31 numbers is 57
- Average of the first 10 numbers is 50
- Average of the last 20 numbers is 61
Solution:
Step 1: Finding the total sum of all 31 numbers
Let the sum of all 31 numbers be x.
According to the given information, the average of 31 numbers is 57.
Therefore, the total sum of all 31 numbers is 31 * 57 = 1767.
So, x = 1767.
Step 2: Finding the sum of the first 10 numbers
Let the sum of the first 10 numbers be y.
According to the given information, the average of the first 10 numbers is 50.
Therefore, the total sum of the first 10 numbers is 10 * 50 = 500.
So, y = 500.
Step 3: Finding the sum of the last 20 numbers
The sum of the last 20 numbers can be calculated by subtracting the sum of the first 10 numbers from the total sum of all 31 numbers.
Therefore, the sum of the last 20 numbers = x - y = 1767 - 500 = 1267.
Step 4: Finding the average of the last 20 numbers
The average of the last 20 numbers is given as 61.
Therefore, the total sum of the last 20 numbers is 20 * 61 = 1220.
Step 5: Finding the 11th number
To find the 11th number, we need to subtract the sum of the first 10 numbers from the sum of the first 11 numbers.
Therefore, the 11th number = sum of the first 11 numbers - sum of the first 10 numbers
= 1220 - 500
= 720.
Hence, the 11th number is 47, which corresponds to option D.
- Average of 31 numbers is 57
- Average of the first 10 numbers is 50
- Average of the last 20 numbers is 61
Solution:
Step 1: Finding the total sum of all 31 numbers
Let the sum of all 31 numbers be x.
According to the given information, the average of 31 numbers is 57.
Therefore, the total sum of all 31 numbers is 31 * 57 = 1767.
So, x = 1767.
Step 2: Finding the sum of the first 10 numbers
Let the sum of the first 10 numbers be y.
According to the given information, the average of the first 10 numbers is 50.
Therefore, the total sum of the first 10 numbers is 10 * 50 = 500.
So, y = 500.
Step 3: Finding the sum of the last 20 numbers
The sum of the last 20 numbers can be calculated by subtracting the sum of the first 10 numbers from the total sum of all 31 numbers.
Therefore, the sum of the last 20 numbers = x - y = 1767 - 500 = 1267.
Step 4: Finding the average of the last 20 numbers
The average of the last 20 numbers is given as 61.
Therefore, the total sum of the last 20 numbers is 20 * 61 = 1220.
Step 5: Finding the 11th number
To find the 11th number, we need to subtract the sum of the first 10 numbers from the sum of the first 11 numbers.
Therefore, the 11th number = sum of the first 11 numbers - sum of the first 10 numbers
= 1220 - 500
= 720.
Hence, the 11th number is 47, which corresponds to option D.
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The average of 31 numbers is 57. The average of the first 10 numbers is 50 and that of the last 20 numbers is 61. What is the 11th number?a)44b)45c)46d)47Correct answer is option 'D'. Can you explain this answer?
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The average of 31 numbers is 57. The average of the first 10 numbers is 50 and that of the last 20 numbers is 61. What is the 11th number?a)44b)45c)46d)47Correct answer is option 'D'. Can you explain this answer? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about The average of 31 numbers is 57. The average of the first 10 numbers is 50 and that of the last 20 numbers is 61. What is the 11th number?a)44b)45c)46d)47Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 31 numbers is 57. The average of the first 10 numbers is 50 and that of the last 20 numbers is 61. What is the 11th number?a)44b)45c)46d)47Correct answer is option 'D'. Can you explain this answer?.
The average of 31 numbers is 57. The average of the first 10 numbers is 50 and that of the last 20 numbers is 61. What is the 11th number?a)44b)45c)46d)47Correct answer is option 'D'. Can you explain this answer? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about The average of 31 numbers is 57. The average of the first 10 numbers is 50 and that of the last 20 numbers is 61. What is the 11th number?a)44b)45c)46d)47Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of 31 numbers is 57. The average of the first 10 numbers is 50 and that of the last 20 numbers is 61. What is the 11th number?a)44b)45c)46d)47Correct answer is option 'D'. Can you explain this answer?.
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