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m03#06

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Senior Manager
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m03#06 [#permalink] New post 07 Jan 2011, 23:22
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A certain prime is divided by 5 to result in a fraction. Then the fraction's numerator is increased by 4 and its denominator is doubled, after which the resulting fraction is simplified. If the denominator of the result is odd, what is ?

7
5
4
3
2

Can someone please explain the Question :roll:

Thanks

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Director
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Re: m03#06 [#permalink] New post 07 Jan 2011, 23:29
The question is in complete brother :)

What is...... ? <<<< Original numerator, original denominator or new numerator? :o

Anyway... I'll try and solve it!

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Last edited by Entwistle on 07 Jan 2011, 23:34, edited 1 time in total.
Director
Director
avatar
Status: -=GMAT Jedi=-
Joined: 04 Jan 2011
Posts: 741
Location: Kochi, India
Schools: ISB
WE 1: Engineer - Larsen & Toubro, ECC Division
WE 2: Faculty - T.I.M.E.
Followers: 32

Kudos [?]: 122 [0], given: 66

GMAT Tests User
Re: m03#06 [#permalink] New post 07 Jan 2011, 23:34
x/5 gives a fraction

X+4/10 <<< New Fraction

Given: After simplification, the Denominator of the result is odd...

(x+4)/(5*2)

After simplification, the denominator is 5... which means, the numerator is a multiple of 2 [because 2 got cancelled from the numerator and denominator

Hence, the new numerator is EVEN

x+4 = EVEN

Which means that x is Even

also, x is prime... Thus x is an even prime!!

Viola, the original prime number is 2

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Mission: Be a force of good and make a positive difference to every life I touch!

From 650 to 710 to 750 - My Tryst With GMAT [Experience Thread]

Re: m03#06   [#permalink] 07 Jan 2011, 23:34
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