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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7117
GMAT 1: 760 Q51 V42 GPA: 3.82
Which of the following is the closest to 11^59^5 – 2(10^5)?  [#permalink]

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3 00:00

Difficulty:   55% (hard)

Question Stats: 55% (01:31) correct 45% (01:56) wrong based on 107 sessions

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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. $$10^{10}$$

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Math Expert V
Joined: 02 Aug 2009
Posts: 7445
Which of the following is the closest to 11^59^5 – 2(10^5)?  [#permalink]

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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. $$10^{10}$$

$$11^59^5 – 2(10^5) = 99^5-2*10^5$$

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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Retired Moderator D
Joined: 25 Feb 2013
Posts: 1216
Location: India
GPA: 3.82
Which of the following is the closest to 11^59^5 – 2(10^5)?  [#permalink]

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2
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
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7117
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: Which of the following is the closest to 11^59^5 – 2(10^5)?  [#permalink]

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=>

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

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]

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_________________ Re: Which of the following is the closest to 11^59^5 – 2(10^5)?   [#permalink] 06 Mar 2019, 19:47
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# Which of the following is the closest to 11^59^5 – 2(10^5)?

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