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06 Feb 2020, 05:27
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C
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Which expression has the greatest value?
(A) \(\frac{1977452}{1977455}\)
(B) \(\frac{1982466}{1982469}\)
(C) \(\frac{1982487}{1982490}\)
(D) \(\frac{1982456}{1982459}\)
(E) \(\frac{1982465}{1982468}\)
(A) \(\frac{1977452}{1977455}\)
(B) \(\frac{1982466}{1982469}\)
(C) \(\frac{1982487}{1982490}\)
(D) \(\frac{1982456}{1982459}\)
(E) \(\frac{1982465}{1982468}\)
20 Mar 2020, 14:31
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The expressions are all of the form \(a/(a+3)\)
for any given integer value of 'a'
as 'a' increases the value of the expression \(a/(a+3)\) increases
Check:
\(1/4 =0.25, 2/5 =0.4 , 9/12 =0.75\)
Thus in the given options the maximum value of a (the numerator) is in option C
ANSWER: C
for any given integer value of 'a'
as 'a' increases the value of the expression \(a/(a+3)\) increases
Check:
\(1/4 =0.25, 2/5 =0.4 , 9/12 =0.75\)
Thus in the given options the maximum value of a (the numerator) is in option C
ANSWER: C
General Discussion
shameekv1989
GMAT 3: 720 Q50 V38
Posts: 820
06 Feb 2020, 05:42
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Which expression has the greatest value?
(A) \(\frac{1977452}{1977455}\)
(B) \(\frac{1982466}{1982469}\)
(C) \(\frac{1982487}{1982490}\)
(D) \(\frac{1982456}{1982459}\)
(E) \(\frac{1982465}{1982468}\)
As the difference between Numerator and denominator is 3 in each case we can take an analogy of \(\frac{4}{5}\) = 0.8 -> \(\frac{(4-1)}{(5-1)}\) =3/4 =0.75 i.e. as we decrease equivalent value from both numerator and denominator the value of the fraction decreases
Since C has the max value in the numerator and denominator C should have the greatest value
Answer - C
(A) \(\frac{1977452}{1977455}\)
(B) \(\frac{1982466}{1982469}\)
(C) \(\frac{1982487}{1982490}\)
(D) \(\frac{1982456}{1982459}\)
(E) \(\frac{1982465}{1982468}\)
As the difference between Numerator and denominator is 3 in each case we can take an analogy of \(\frac{4}{5}\) = 0.8 -> \(\frac{(4-1)}{(5-1)}\) =3/4 =0.75 i.e. as we decrease equivalent value from both numerator and denominator the value of the fraction decreases
Since C has the max value in the numerator and denominator C should have the greatest value
Answer - C
