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[GMAT math practice question]
Which of the following is the closest to \(11^59^5 – 2(10^5)\)?
A. \(10^2\)
B. \(10^7\)
C. \(10^8\)
D. \(10^9\)
E. \(10^{10}\)
Which of the following is the closest to \(11^59^5 – 2(10^5)\)?
A. \(10^2\)
B. \(10^7\)
C. \(10^8\)
D. \(10^9\)
E. \(10^{10}\)
05 Dec 2017, 12:14
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MathRevolution
[GMAT math practice question]
Which of the following is the closest to \(11^59^5 – 2(10^5)\)?
A. \(10^2\)
B. \(10^7\)
C. \(10^8\)
D. \(10^9\)
E. \(10^{10}\)
Which of the following is the closest to \(11^59^5 – 2(10^5)\)?
A. \(10^2\)
B. \(10^7\)
C. \(10^8\)
D. \(10^9\)
E. \(10^{10}\)
As we have to find approximate answer so we can slightly reduce or increase the number to arrive at the closest value.
\(11^59^5 – 2(10^5)\), here I'll reduce \(11\) by \(1\) and increase \(9\) by \(1\), so in totality effect should balance out
\(11^59^5 – 2(10^5)\) \(=10^5*10^5 – 2*10^5\)
\(=>10^5(10^5 – 2)\). as \(10^5\) is far greater than \(2\) so \(10^5-2=10^5\) (approximate value)
\(=>10^5*10^5=10^{10}\)
Option E
General Discussion
05 Dec 2017, 05:52
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MathRevolution
[GMAT math practice question]
Which of the following is the closest to \(11^59^5 – 2(10^5)\)?
A. \(10^2\)
B. \(10^7\)
C. \(10^8\)
D. \(10^9\)
E. \(10^{10}\)
Which of the following is the closest to \(11^59^5 – 2(10^5)\)?
A. \(10^2\)
B. \(10^7\)
C. \(10^8\)
D. \(10^9\)
E. \(10^{10}\)
\(11^59^5 – 2(10^5) = 99^5-2*10^5\)
Now \(2*10^5\) is very small quantity in front of \(99^5\),( which is nearly equal to 100^5 = 10^{10})....
\(\frac{2*10^5}{10^{10}} = \frac{2}{10^5}=\frac{1}{50000}\),
Hence \(2*10^5\) is \(\frac{1}{50000}\) of \(100^5\), so can be neglected ..
hence answer is \(10^{10}\)
E
