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If the AM and HM for two numbers are 5 and 3.2 respectively then the GM will be A. 16 B. 4.10 C. 4.05 D. 4 Correct answer is d. Can anyone explain?
Most Upvoted Answer
If the AM and HM for two numbers are 5 and 3.2 respectively then the G...
We all know that AM,GM,HM are in GP
(GM)²=(AM)(HM)
5×3.2=GM²
GM=4
(GM)²=(AM)(HM)
5×3.2=GM²
GM=4
Community Answer
If the AM and HM for two numbers are 5 and 3.2 respectively then the G...
Solution:
Given, AM = 5 and HM = 3.2
We need to find the GM.
First, we need to understand the formulas for AM, HM, and GM.
Arithmetic Mean (AM) = (a + b)/2
Harmonic Mean (HM) = 2ab/(a + b)
Geometric Mean (GM) = √ab
where a and b are the two numbers.
Using the given values, we can form two equations:
5 = (a + b)/2 --------(1)
3.2 = 2ab/(a + b) -------(2)
Solving equations (1) and (2), we get:
a + b = 10 --------(3)
ab = 8 --------(4)
Now, we can use equation (4) to find the GM:
GM = √ab = √8 = 2√2 ≈ 2.83
But, the options given in the question are all in decimal form. So, we need to convert 2√2 into decimal form.
Using a calculator or estimation, we can get:
2√2 ≈ 2 x 1.41 ≈ 2.82
Therefore, the answer is option D (4).
Given, AM = 5 and HM = 3.2
We need to find the GM.
First, we need to understand the formulas for AM, HM, and GM.
Arithmetic Mean (AM) = (a + b)/2
Harmonic Mean (HM) = 2ab/(a + b)
Geometric Mean (GM) = √ab
where a and b are the two numbers.
Using the given values, we can form two equations:
5 = (a + b)/2 --------(1)
3.2 = 2ab/(a + b) -------(2)
Solving equations (1) and (2), we get:
a + b = 10 --------(3)
ab = 8 --------(4)
Now, we can use equation (4) to find the GM:
GM = √ab = √8 = 2√2 ≈ 2.83
But, the options given in the question are all in decimal form. So, we need to convert 2√2 into decimal form.
Using a calculator or estimation, we can get:
2√2 ≈ 2 x 1.41 ≈ 2.82
Therefore, the answer is option D (4).
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If the AM and HM for two numbers are 5 and 3.2 respectively then the GM will be A. 16 B. 4.10 C. 4.05 D. 4 Correct answer is d. Can anyone explain?
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If the AM and HM for two numbers are 5 and 3.2 respectively then the GM will be A. 16 B. 4.10 C. 4.05 D. 4 Correct answer is d. Can anyone explain? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the AM and HM for two numbers are 5 and 3.2 respectively then the GM will be A. 16 B. 4.10 C. 4.05 D. 4 Correct answer is d. Can anyone explain? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the AM and HM for two numbers are 5 and 3.2 respectively then the GM will be A. 16 B. 4.10 C. 4.05 D. 4 Correct answer is d. Can anyone explain?.
If the AM and HM for two numbers are 5 and 3.2 respectively then the GM will be A. 16 B. 4.10 C. 4.05 D. 4 Correct answer is d. Can anyone explain? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the AM and HM for two numbers are 5 and 3.2 respectively then the GM will be A. 16 B. 4.10 C. 4.05 D. 4 Correct answer is d. Can anyone explain? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the AM and HM for two numbers are 5 and 3.2 respectively then the GM will be A. 16 B. 4.10 C. 4.05 D. 4 Correct answer is d. Can anyone explain?.
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