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M and N are two positive integers and each of them has 20 factors. If r is the total number of prime factors of M and

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M and N are two positive integers and each of them has 20 factors. If r is the total number of prime factors of M and

by BTGmoderatorDC » Tue Jan 28, 2020 6:23 pm
M and N are two positive integers and each of them has 20 factors. If r is the total number of prime factors of M and s is the total number of prime factors of N,then what is the maximum value of r-s?

a)0
b)1
c)2
d)6
e)26



OA C

Source: e-GMAT
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Source: — Data Sufficiency |
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Re: M and N are two positive integers and each of them has 20 factors. If r is the total number of prime factors of M an

by deloitte247 » Sun Feb 02, 2020 12:32 pm
Integer M and N has 20 factors in which r and s are their respective factors
Factors of 20 are;
$$20\cdot1=20$$ k/
$$10\cdot2=20$$
$$4\cdot5=20$$
$$2\cdot2\cdot5=20$$
In all the possible cases listed above, there is at least one prime number in a case and at most three prime numbers in a case.
maximum vale of c-s = 3-1=2

$$answer\ is\ Option\ C$$
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