[Smart Math] Arithmetic Problem 4

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

Problem

Find the HCF and LCM of , and

1. ;
2. ;
3. ;
4. ;
5. None of these

The Usual Method

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To find HCF, looking at the common terms amongst the expressions, we get:

HCF =

To get the LCM, we multiply the HCF with all the remaining terms of the expressions and we will get LCM =

(Ans: 4)

Estimated Time to arrive at the answer = 45 seconds

Using Technique

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Visually you can find the HCF as as ‘3’, ‘’ and ‘’ are the only terms common in all the three expressions. This eliminates options ‘2’ and ‘3’.

Also note that the LCM must have ‘’, as it is the only term appearing in the third expression and not in the other two expressions. Hence, answer is option ‘4’.

(Ans: 4)

Estimated Time to arrive at the answer = 5 seconds
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