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# Fractions Question From GMAT Club Test (m25#15)

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Fractions Question From GMAT Club Test (m25#15) [#permalink]  08 May 2011, 00:27
Which of the following fractions is the largest?

(A) \frac{3252}{3257}

(B) \frac{3456}{3461}

(C) \frac{3591}{3596}

(D) \frac{3346}{3351}

(E) \frac{3453}{3458}
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Re: From MitDavidDv: Fractions Question From GMAT Club Test [#permalink]  08 May 2011, 00:59
1
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taking the last two digits of the fractions,

52/57 , 56/61 , 91/96 , 46/51 , 53/58

1 . difference between numerator and denominator = 5 in each cases. Hence a particular fraction can't be eliminated on this basis.

2. Cross multiplications 52/57 ,56/61 here 56/61 is greater

46/51, 53/58 here 53/58 is greater

56/61, 91/96 here 91/96 is greater

91/96, 53/58 here 91/96 is greater.

Hence 91/96 C is greatest.
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Re: From MitDavidDv: Fractions Question From GMAT Club Test [#permalink]  08 May 2011, 01:43
MitDavidDv wrote:
Which of the following fractions is the largest?

A. \frac{3252}{3257}

B.\frac{3456}{3461}

C. \frac{3591}{3596}

D.\frac{3346}{3351}

E. \frac{3453}{3458}

Similar post:
which-expression-is-the-greatest-m07q16-75697.html
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Re: From MitDavidDv: Fractions Question From GMAT Club Test [#permalink]  08 May 2011, 03:57
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C.

My approach was to note that each numerator was five less than the denominator.

i.e. \frac{(x-5)}{x} = 1 - \frac{5}{x}

To maximise this function, we maximise x, therefore, solution is C.
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Re: From MitDavidDv: Fractions Question From GMAT Club Test [#permalink]  08 May 2011, 07:38
Good Approach pike. +1 for you
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Re: From MitDavidDv: Fractions Question From GMAT Club Test   [#permalink] 08 May 2011, 07:38
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# Fractions Question From GMAT Club Test (m25#15)

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