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Prime numbers

Expert replies
by abhishekswamy » Wed Jul 20, 2011 6:55 am
If n is a multiple of 5 and n=p^2q where p and q a re prime numbers which of the following must be a myultiple of 25
a. p^2
b. p^2q^2
c.pq
d. q^2
e. p^3q

OA.D
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Source: — Problem Solving |

by bblast » Wed Jul 20, 2011 7:07 am
the problem statement tells us that n/5 = I. it also tells us that n=p^2*q. therefore either p or q MUST be a multiple of 5.


only choice B - p^2 * q^2 gives us the affirmative that we will have 2 fives to cancel out the 25.

Kindly search GMAT prep question on Google. Just type the question followed by ",gmat".

You will get a links to solutions at MGMAT forum,BTG, URCH and gmat club. read all solutions/approaches.
Cheers !!

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by vamsigmat2012 » Wed Jul 20, 2011 8:58 pm
Hi,
I think OA should be (b).
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by krishnasty » Wed Jul 20, 2011 9:59 pm
can you please elobrate.
wehn googgling, i am getting the result of the this page ONLY.

it woudl be really felpful if you could provide the link or post the elobrate solution.
---------------------------------------
Appreciation in thanks please!!
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by bblast » Thu Jul 21, 2011 12:50 am
https://www.lmgtfy.com/?q=If+n+is+a+mult ... +5%2C+gmat


the first link is BTG
the second is MGMAT,
the 3rd is urch
4th is gmat club, need I say more ?


That should be enough to clear any doubts on any question, follow same procedure for ALL gmat prep stuff - until u have something really new to discuss.
Cheers !!

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Verbal 34-Striving for 40

My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_
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by amit2k9 » Thu Jul 21, 2011 1:56 am
let p=5 and q=3 meaning n=75 or p=3 and q=5 meaning n=45.
in both the cases n is multiple for 5.

like wise for n to be divisible by 25,meaning n/25 = Integer.

n= 25I. So,check for p=5,q=3 and vice versa for all the options.
Only B will provide multiple of 25 in all cases.
Hence B it is.
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