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If ‘a’ is inversely proportional to ‘b’ and ‘b’ is inversely proportional to c. then

This question was previously asked in
Official Paper 10: Held on 2nd Dec 2019 Shift - 1
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  1. ‘a’ is inversely proportional to ‘c’
  2. ‘a’ is directly proportional to ‘c’
  3. ‘a’ is constant
  4. ‘a’ is directly proportional to ‘bc’

Answer (Detailed Solution Below)

Option 2 : ‘a’ is directly proportional to ‘c’
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Detailed Solution

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Given:

a α 1/b      ----(i)

b α 1/c      ----(ii)

Calculation:

If b α 1/c

⇒ b = k/c 

Here k is a constant

Put this value of b in equation (i) we get,

a α 1/(k/c)

⇒ a α c/k

⇒ a α c

∴ a is directly proportional to c

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