Let p be a prime number other than 2 or 5 One would like to express the vulgar fraction 1 p in the f...........

Quantitative Aptitude (CDS) Simplification

Let p be a prime number other than 2 or 5. One would like to express the vulgar fraction 1/p in the form of a recurring decimal. Then the decimal will be

A pure recurring decimal and its period will be necessary (p-1)

A mixed recurring decimal and its period will be necessary (p - 1)

A pure recurring decimal and its period will be some factor of (p - 1)

A mixed recurring decimal and its period will be some factor of (p - 1)

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Explanation:

Pure recurring decimal: A decimal fraction in which all the figures occur repeatedly is called a pure recurring decimal as 7.4444.., 2.666 ...., etc.
Let P be prime number So P = 7, 11, 13,
1/7= 0.142857142857 … … … …
1/11= 0.09090909 … … … …
1/13= 0.0769230769230 … … …
All above example are pure recurring decimal and its period wills (p –1)