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CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms

If a/b = c/d, then which of the following is obtained by applying componendo?

Componendo gives (a + b)/b = (c + d)/d. It follows by adding 1 to both sides of a/b = c/d. Subtracting 1 gives dividendo, and dividing the two results gives componendo-dividendo, so those other options are different properties.

  1. A(a + b)/b = (c + d)/dCorrect
  2. B(a − b)/b = (c − d)/d
  3. C(a + b)/(a − b) = (c + d)/(c − d)
  4. Da/(a + b) = d/(c + d)

Explanation

Componendo means adding 1 to both sides of a/b = c/d, giving (a + b)/b = (c + d)/d. Option B is the dividendo result (subtracting 1). Option C is the combined componendo-dividendo result. Option D is not a valid form because the denominators are mismatched.

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