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# Which of the following is the closest to 11^59^5 – 2(10^5)?

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Math Revolution GMAT Instructor
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Which of the following is the closest to 11^59^5 – 2(10^5)? [#permalink]

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05 Dec 2017, 01:02
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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. $$10^{10}$$
[Reveal] Spoiler: OA

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Which of the following is the closest to 11^59^5 – 2(10^5)? [#permalink]

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05 Dec 2017, 04:52
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Expert's post
MathRevolution wrote:
[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. $$10^{10}$$

$$11^59^5 – 2(10^5) = 99^5-2*10^5$$

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
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Which of the following is the closest to 11^59^5 – 2(10^5)? [#permalink]

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05 Dec 2017, 11:14
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MathRevolution wrote:
[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. $$10^{10}$$

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

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Math Revolution GMAT Instructor
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Re: Which of the following is the closest to 11^59^5 – 2(10^5)? [#permalink]

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07 Dec 2017, 00:02
=>

$$11^59^5 – 2(10^5)$$
$$≒ 10^510^5 – 2(10^5)$$
$$= 10^{10} – 2(10^5)$$
$$≒ 10^{10}$$

Therefore, the answer is E.

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Re: Which of the following is the closest to 11^59^5 – 2(10^5)?   [#permalink] 07 Dec 2017, 00:02
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# Which of the following is the closest to 11^59^5 – 2(10^5)?

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