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

**Problem**

**Problem**

If , then what is the value of ?

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**The Usual Method**

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First get the values of:

Now, substitute these values in the given equation, we get:

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**(Ans: 3)**

*Estimated Time to arrive at the answer = 75 seconds.*

**Using Technique**

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Observe from the equation has ‘8’ in its denominator. This 8 cannot be reduced in further operations as 5, 3 and 10 are relatively prime to 8 and hence have an HCF of 1. Should the HCF of these numbers be 2 or any multiple of 2, then the denominator ‘8’ will get to 4, 2 or 1 accordingly. But in this particular case, it is not so. Hence, the answer should have 8 or a multiple of 8 in its denominator. The only option satisfying this criterion is options ‘3’.

**(Ans: 3)**

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

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