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Problem Solving (PS) | Re: Which of the following is closest to (1+2^18)/(2^4+2^10)?

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MathRevolution wrote:

[GMAT math practice question]

Which of the following is closest to \(\frac{(1+2^{18})}{(2^4+2^{10})}\)?

A. \(2^5\)
B. \(2^6\)
C. \(2^7\)
D. \(2^8\)
E. \(2^9\)



Hi..

Since the answer asked is in Approximation, we can remove inconsequential parts

\(\frac{(1+2^{18})}{(2^4+2^{10})}\) ...
1 is very small in 1+2^18 and 2^4 in 2^4+2^10 but let's just remove 1..
\( \frac{(2^{18})}{2^4(1+2^{6})}=\frac{2^{18-4}}{1+2^6} =2^14-2^6=2^8 \)
...

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