• Numerical Ability - Ratio & Proportion
Question

A is directly proportional to B and also inversely proportional to the square of C. When B = 16 and C = 2, A = 36. Find the value of A when B = 32 and C = 4. 

  • A) 25
  • B) 20
  • C) 18
  • D) 32
  • E) None of these
Solution

C) 18
Explanation: 
A = kB, A = k/C2
Or A = kB/ C2
When B = 16 and C = 2, A = 36:
36 = k*16/ 22
k = 9
Now when B = 32 and C = 4:
A = 9*32/ 42

C) 18
Explanation: 
A = kB, A = k/C2
Or A = kB/ C2
When B = 16 and C = 2, A = 36:
36 = k*16/ 22
k = 9
Now when B = 32 and C = 4:
A = 9*32/ 42
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