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p is directly proportional to q, but indirectly proportional to r, while r is directly proportional to s. Which of the following statement is true?

p is directly proportional to q, but indirectly proportional to r, while r is directly proportional to s. Which of the following statement is true? Correct Answer s is indirectly proportional to q

As, p is directly proportional to q

⇒ p ∝ q

⇒ q ∝ p

So, q is directly proportional to p

Also, p indirectly proportional to r

⇒ p ∝ 1/r

⇒ q ∝ 1/r

So, q is indirectly proportional to r

Similarly,

As, r is directly proportional to s

⇒ r ∝ s

⇒ s ∝ 1/p

And

⇒ s ∝ 1/q

So, s is indirectly proportional to p and q

∴ The correct statement is that s is indirectly proportional to q

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