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08 Jan 2011, 00:22
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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
Thanks
7
5
4
3
2
Can someone please explain the Question
Thanks
Archived Topic
Hi there,
Archived GMAT Club Tests question - no more replies possible.
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The question is in complete brother 
What is...... ? <<<< Original numerator, original denominator or new numerator?
Anyway... I'll try and solve it!
What is...... ? <<<< Original numerator, original denominator or new numerator?
Anyway... I'll try and solve it!
08 Jan 2011, 00:34
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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
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
Archived Topic
Hi there,
Archived GMAT Club Tests question - no more replies possible.
Where to now? Try our up-to-date Free Adaptive GMAT Club Tests
for the latest questions.
Still interested? Check out the "Best Topics" block above for better discussion and related questions.
Thank you for understanding, and happy exploring!
