Approximation

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coderversion1: Senior | Next Rank: 100 Posts; Posts: 72; Joined: Thu Jun 09, 2011 12:30 pmFollowed by: 1 member; Thanked: 14 times; GMAT Score:730

by coderversion1 » Sun Sep 04, 2011 1:21 am

Which of the following is closest to (998*0.02+4.97)/(1002*0.02+5.03)?

A. 0.50
B. 0.89
C. 0.98
D. 1.02
E. 1.05

OA after discussion.

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Source: Beat The GMAT — Problem Solving | Sun Sep 04, 2011 1:21 am

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sun Sep 04, 2011 1:38 am

coderversion1 wrote:Which of the following is closest to (998*0.02+4.97)/(1002*0.02+5.03)?

# (998*0.02 + 4.97)/(1002*0.02 + 5.03)
= (19.96 + 4.97)/(20.04 + 5.03)
= (24.93)/(25.07)

Hence, the above quantity is slightly less than 1.
Hence, among all the options 0.98 is closest to the above quantity.

The correct answer is C.

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