Here’s and example of a **SMART MATH** problem for **AVERAGES.**

**Problem**

**Problem**

What is the Geometric mean of 24, 27 and 72?

- 29
- 30
- 36
- 42
- 54

**The Usual Method**

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First get the factors of each of the numbers

24 =

27 =

72 =

Geometric mean for them is given by:

=

= = 4 x 9 = 36

**(Ans: 3)**

*Estimated Time to arrive at the answer = 45 seconds*

**Using Technique**

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Simply find the Arithmetic Mean of the numbers:

i.e. = 41

Now you already know that Arithmetic Mean > Geometric Mean > Harmonic Mean, hence, the answer should be less then 41 but close to it. From amongst the options, the only one satisfying this condition is option ‘3’.

**(Ans: 3)**

*Estimated Time to arrive at the answer = 10 seconds*

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