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Quantitative Aptitude Formulae

HCF and LCM

For two numbers, HCF x LCM = product of the two. 

HCF of Fractions =HCF of Numerator

                              LCM of Denominator


 LCM of Fractions =LCM of Numerator

                                HCF of Denominator


 Relatively Prime or Co-Prime Numbers: Two positive integers are said to be relatively prime to each other if their highest common factor is 1.



Divisibility Rules 

A number is divisible by: 2, 4 & 8 when the number formed by the last, last two, last three digits are divisible by 2,4 & 8 respectively. 3 & 9 when the sum of the digits of the number is divisible by 3 & 9 respectively.

11 when the difference between the sum of the digits in the odd places and of those in even places is 0 or a multiple of 11. 

6, 12 & 15 when it is divisible by 2 and 3, 3 and 4 & 3 and 5 respectively. 

7, if the number of tens added to five times the number of units is divisible by 7. 

13, if the number of tens added to four times the number of units is divisible by 13. 

19, if the number of tens added to twice the number of units is divisible by 19.

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