CA Foundation Exam > CA Foundation Questions > Out of " 100" numbers," 20" were " 4s,40" wer...
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Out of " 100" numbers," 20" were " 4s,40" were " 5s,30" were " 6s" and the remaining were " 7s" .The " ],[" arithmetic mean of the numbers is : " ],[[" (a) " 5.3," (b) " 5.4," (c) " 6.1," (d) " 6.5 correct answer is (a) can you explain this?
Most Upvoted Answer
Out of " 100" numbers," 20" were " 4s,40" were " 5s,30" were " 6s" and...
Solution:
Given, 100 numbers, out of which
- 20 numbers are 4s
- 40 numbers are 5s
- 30 numbers are 6s
- Remaining are 7s.
To find the arithmetic mean of the numbers, we need to find the sum of all the numbers and divide it by the total number of numbers.
Let's calculate the sum of all the numbers first.
- 20 × 4 = 80 (sum of all 4s)
- 40 × 5 = 200 (sum of all 5s)
- 30 × 6 = 180 (sum of all 6s)
- Remaining numbers are 7s. Let the total number of 7s be x. So, sum of all 7s will be 7x.
Total sum of all the numbers = 80 + 200 + 180 + 7x
The total number of numbers = 20 + 40 + 30 + x = 90 + x
Now, we can find the arithmetic mean by dividing the sum of all the numbers by the total number of numbers.
Arithmetic mean = (80 + 200 + 180 + 7x) / (90 + x)
To get the answer, we need to substitute the value of x in the above equation.
As given, remaining numbers are 7s. So, the total number of 7s = 100 - (20 + 40 + 30) = 10.
Substituting x = 10 in the above equation,
Arithmetic mean = (80 + 200 + 180 + 7 × 10) / (90 + 10) = 670 / 100 = 6.7
Therefore, the correct answer is not in the given options.
Alternate Method:
If we assume that the options are not accurate and there is a typo in option (a), then we can use an alternate method to solve the problem.
- 20 numbers are 4s. So, the sum of all 4s = 20 × 4 = 80.
- 40 numbers are 5s. So, the sum of all 5s = 40 × 5 = 200.
- 30 numbers are 6s. So, the sum of all 6s = 30 × 6 = 180.
- The remaining 10 numbers are 7s. So, the sum of all 7s = 10 × 7 = 70.
Total sum of all numbers = 80 + 200 + 180 + 70 = 530.
Arithmetic mean = sum of all numbers / total number of numbers = 530 / 100 = 5.3.
Therefore, the correct answer is (a) 5.3.
Given, 100 numbers, out of which
- 20 numbers are 4s
- 40 numbers are 5s
- 30 numbers are 6s
- Remaining are 7s.
To find the arithmetic mean of the numbers, we need to find the sum of all the numbers and divide it by the total number of numbers.
Let's calculate the sum of all the numbers first.
- 20 × 4 = 80 (sum of all 4s)
- 40 × 5 = 200 (sum of all 5s)
- 30 × 6 = 180 (sum of all 6s)
- Remaining numbers are 7s. Let the total number of 7s be x. So, sum of all 7s will be 7x.
Total sum of all the numbers = 80 + 200 + 180 + 7x
The total number of numbers = 20 + 40 + 30 + x = 90 + x
Now, we can find the arithmetic mean by dividing the sum of all the numbers by the total number of numbers.
Arithmetic mean = (80 + 200 + 180 + 7x) / (90 + x)
To get the answer, we need to substitute the value of x in the above equation.
As given, remaining numbers are 7s. So, the total number of 7s = 100 - (20 + 40 + 30) = 10.
Substituting x = 10 in the above equation,
Arithmetic mean = (80 + 200 + 180 + 7 × 10) / (90 + 10) = 670 / 100 = 6.7
Therefore, the correct answer is not in the given options.
Alternate Method:
If we assume that the options are not accurate and there is a typo in option (a), then we can use an alternate method to solve the problem.
- 20 numbers are 4s. So, the sum of all 4s = 20 × 4 = 80.
- 40 numbers are 5s. So, the sum of all 5s = 40 × 5 = 200.
- 30 numbers are 6s. So, the sum of all 6s = 30 × 6 = 180.
- The remaining 10 numbers are 7s. So, the sum of all 7s = 10 × 7 = 70.
Total sum of all numbers = 80 + 200 + 180 + 70 = 530.
Arithmetic mean = sum of all numbers / total number of numbers = 530 / 100 = 5.3.
Therefore, the correct answer is (a) 5.3.
Community Answer
Out of " 100" numbers," 20" were " 4s,40" were " 5s,30" were " 6s" and...
Answer is 5.3
Total number 100
Total value of 20 of 4s is 20*4 =80
30 of 6s is 30*6=180
40 of 5s is 40*50=200
10 of 7 s 10*7=70 remain part
Adding up them 530
No 100
Am 530/100=5.3
Total number 100
Total value of 20 of 4s is 20*4 =80
30 of 6s is 30*6=180
40 of 5s is 40*50=200
10 of 7 s 10*7=70 remain part
Adding up them 530
No 100
Am 530/100=5.3
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Out of " 100" numbers," 20" were " 4s,40" were " 5s,30" were " 6s" and the remaining were " 7s" .The " ],[" arithmetic mean of the numbers is : " ],[[" (a) " 5.3," (b) " 5.4," (c) " 6.1," (d) " 6.5 correct answer is (a) can you explain this?
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Out of " 100" numbers," 20" were " 4s,40" were " 5s,30" were " 6s" and the remaining were " 7s" .The " ],[" arithmetic mean of the numbers is : " ],[[" (a) " 5.3," (b) " 5.4," (c) " 6.1," (d) " 6.5 correct answer is (a) can you explain this? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Out of " 100" numbers," 20" were " 4s,40" were " 5s,30" were " 6s" and the remaining were " 7s" .The " ],[" arithmetic mean of the numbers is : " ],[[" (a) " 5.3," (b) " 5.4," (c) " 6.1," (d) " 6.5 correct answer is (a) can you explain this? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of " 100" numbers," 20" were " 4s,40" were " 5s,30" were " 6s" and the remaining were " 7s" .The " ],[" arithmetic mean of the numbers is : " ],[[" (a) " 5.3," (b) " 5.4," (c) " 6.1," (d) " 6.5 correct answer is (a) can you explain this?.
Out of " 100" numbers," 20" were " 4s,40" were " 5s,30" were " 6s" and the remaining were " 7s" .The " ],[" arithmetic mean of the numbers is : " ],[[" (a) " 5.3," (b) " 5.4," (c) " 6.1," (d) " 6.5 correct answer is (a) can you explain this? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Out of " 100" numbers," 20" were " 4s,40" were " 5s,30" were " 6s" and the remaining were " 7s" .The " ],[" arithmetic mean of the numbers is : " ],[[" (a) " 5.3," (b) " 5.4," (c) " 6.1," (d) " 6.5 correct answer is (a) can you explain this? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of " 100" numbers," 20" were " 4s,40" were " 5s,30" were " 6s" and the remaining were " 7s" .The " ],[" arithmetic mean of the numbers is : " ],[[" (a) " 5.3," (b) " 5.4," (c) " 6.1," (d) " 6.5 correct answer is (a) can you explain this?.
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