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

The mean proportional between 4 and 36 is:

The mean proportional between 4 and 36 is the square root of their product. Since 4 times 36 equals 144, and the square root of 144 is 12, the mean proportional is 12. The ratio 4:12 equals 12:36, which confirms the result.

  1. A20
  2. B12Correct
  3. C18
  4. D144

Explanation

The mean proportional of a and b is the square root of ab. Here ab = 4 × 36 = 144 and its square root is 12. The value 20 comes from wrongly taking the arithmetic mean, and 18 is the mistake of halving 36.

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