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Direction: Read the following questions carefully and choose the right answer.
Q. If A varies directly as B and inversely as C and A = 6, when B = 2 and C = 3, what is the value of A when B = 8 and C = 6 ?
  • a)
    12
  • b)
    6
  • c)
    18
  • d)
    24
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Direction: Read the following questions carefully and choose the righ...
Let the constant be x.
So, putting the first scenario in equation
or x = 9
We can find out A in the second scenario by putting the value of x as 9.
or A = 12
Hence, the correct option is (A).
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Most Upvoted Answer
Direction: Read the following questions carefully and choose the righ...
Given:
A varies directly as B and inversely as C
A = 6, B = 2, C = 3

To find:
The value of A when B = 8 and C = 6

Solution:
To solve this problem, we can use the formula for direct and inverse variation.

Direct variation:
A varies directly as B can be represented as A = k * B, where k is the constant of variation.

Inverse variation:
A varies inversely as C can be represented as A = k / C, where k is the constant of variation.

Now, let's find the value of k using the given values.

When A = 6, B = 2, and C = 3:
6 = k * 2 (direct variation)
6 = k / 3 (inverse variation)

Solving the above equations, we can find the value of k.

k = 6/2 = 3 (direct variation)
k = 6 * 3 = 18 (inverse variation)

Now, we can use the value of k to find the value of A when B = 8 and C = 6.

A = k * B = 18 * 8 / 6 = 24

Therefore, the value of A when B = 8 and C = 6 is 24.

Answer: (d) 24
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If one gives an answer before one hears, it is ones folly and shame. It is arrogant to answer before one hears. Humility does not presume that it knows precisely what a person is asking until the questioner has finished asking the question. How many times have Ijumped to a wrong conclusion by starting to formulate my answer before I heard the whole question! Often it is the last word in the question that turns the whole thing around and makes you realize that the questioner is not asking what you thought he was.Not answering a question before you hear it all, honours and respects the person asking the question. It treats the person as though his words really matter. It is belittling to the other person if you finish his question for him. Carefully listening to a question often reveals that the question has several layers and is really more than one question. Several questions are all mixed into one. When you see this, you can break down the question into parts and answer them one at a time. You will not see such subtleties if you are hasty with your answer and not careful in your listening.Q.Which of the following can be used to describe Several questions are all mixed into one ?

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