• Numerical Ability - Ratio & Proportion
Question

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
Solution

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

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

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