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CA Foundation · Quantitative Aptitude · Sequence and Series

Two geometric means are inserted between 5 and 135. What is the sum of these two geometric means?

The sum of the two geometric means is 60. With first term 5 and fourth term 135, r cubed equals 27, so r is 3. The inserted terms are 15 and 45, which add up to 60.

  1. A60Correct
  2. B45
  3. C30
  4. D75

Explanation

We have 4 terms in GP with a = 5 and fourth term 135, so r³ = 135/5 = 27 and r = 3. The means are 15 and 45, and their sum is 60. The value 75 would come from using the wrong number of ratios.

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