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A is directly proportional to the inverse of B and also inversely proportional to C. When B = 36 and C = 9, A = 42. Find the value of A when B = 64 and C = 21.
- a)24
- b)40
- c)32
- d)48
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A is directly proportional to the inverse of B and also inversely prop...
A) 24
Explanation: A = k√B, A = k/C Or A = k√B/C When B = 36 and C = 9, A = 42: 42 = k√36/9 k = 63 Now when B = 64 and C = 21: A = 63*√64/21
Explanation: A = k√B, A = k/C Or A = k√B/C When B = 36 and C = 9, A = 42: 42 = k√36/9 k = 63 Now when B = 64 and C = 21: A = 63*√64/21
Most Upvoted Answer
A is directly proportional to the inverse of B and also inversely prop...
Given, A is directly proportional to the inverse of B and inversely proportional to C.
Mathematically, we can write this as:
A ∝ 1/B and A ∝ 1/C
Or, A = k(1/B)(1/C) where k is the constant of proportionality.
Now, when B = 36 and C = 9, A = 42.
So, 42 = k(1/36)(1/9)
Solving for k, we get k = 13608.
Therefore, the equation becomes:
A = 13608(1/B)(1/C)
Now, we need to find the value of A when B = 64 and C = 21.
Substituting the values in the equation, we get:
A = 13608(1/64)(1/21)
Simplifying, we get:
A = 24
Hence, the correct answer is option A, 24.
Mathematically, we can write this as:
A ∝ 1/B and A ∝ 1/C
Or, A = k(1/B)(1/C) where k is the constant of proportionality.
Now, when B = 36 and C = 9, A = 42.
So, 42 = k(1/36)(1/9)
Solving for k, we get k = 13608.
Therefore, the equation becomes:
A = 13608(1/B)(1/C)
Now, we need to find the value of A when B = 64 and C = 21.
Substituting the values in the equation, we get:
A = 13608(1/64)(1/21)
Simplifying, we get:
A = 24
Hence, the correct answer is option A, 24.
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Community Answer
A is directly proportional to the inverse of B and also inversely prop...
A) 24
Explanation: A = k√B, A = k/C Or A = k√B/C When B = 36 and C = 9, A = 42: 42 = k√36/9 k = 63 Now when B = 64 and C = 21: A = 63*√64/21
Explanation: A = k√B, A = k/C Or A = k√B/C When B = 36 and C = 9, A = 42: 42 = k√36/9 k = 63 Now when B = 64 and C = 21: A = 63*√64/21
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