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# m03#06

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Senior Manager
Status: Do and Die!!
Joined: 15 Sep 2010
Posts: 313

Kudos [?]: 576 [0], given: 193

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08 Jan 2011, 00:22
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

Thanks
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I'm the Dumbest of All !!

Kudos [?]: 576 [0], given: 193

Director
Status: -=Given to Fly=-
Joined: 04 Jan 2011
Posts: 830

Kudos [?]: 238 [0], given: 78

Location: India
Schools: Haas '18, Kelley '18
GMAT 1: 650 Q44 V37
GMAT 2: 710 Q48 V40
GMAT 3: 750 Q51 V40
GPA: 3.5
WE: Education (Education)

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08 Jan 2011, 00:29
The question is in complete brother

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

Anyway... I'll try and solve it!
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Last edited by AmrithS on 08 Jan 2011, 00:34, edited 1 time in total.

Kudos [?]: 238 [0], given: 78

Director
Status: -=Given to Fly=-
Joined: 04 Jan 2011
Posts: 830

Kudos [?]: 238 [0], given: 78

Location: India
Schools: Haas '18, Kelley '18
GMAT 1: 650 Q44 V37
GMAT 2: 710 Q48 V40
GMAT 3: 750 Q51 V40
GPA: 3.5
WE: Education (Education)

### Show Tags

08 Jan 2011, 00:34
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
_________________

"Wherever you go, go with all your heart" - Confucius

1. How to Review and Analyze your Mistakes (Post by BB at GMAT Club)

2. 4 Steps to Get the Most out out of your CATs (Manhattan GMAT Blog)

My Experience With GMAT

1. From 650 to 710 to 750 - My Tryst With GMAT

2. Quest to do my Best - My GMAT Journey Log

Kudos [?]: 238 [0], given: 78

Re: m03#06   [#permalink] 08 Jan 2011, 00:34
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# m03#06

Moderator: Bunuel

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