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# Which of the following is most nearly equal to 62.5*

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Math Expert
Joined: 02 Sep 2009
Posts: 59721
Which of the following is most nearly equal to 62.5*  [#permalink]

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20 Nov 2019, 00:43
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Difficulty:

35% (medium)

Question Stats:

70% (01:49) correct 30% (02:30) wrong based on 57 sessions

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Which of the following is most nearly equal to $$\frac{62.5 * 10^6}{2.5 *10 - 3.5* 10^{-6}}$$ ?'

A. $$-2.5*10^6$$

B. $$-3.5 * 10^{-6}$$

C. $$2.5 *10^6$$

D. $$-1$$

E. $$1$$

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Re: Which of the following is most nearly equal to 62.5*  [#permalink]

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20 Nov 2019, 01:34
solve for given fraction $$\frac{62.5 * 10^6}{2.5 *10 - 3.5* 10^{-6}}$$
IMO C ; $$2.5 *10^6$$

[

quote="Bunuel"]Which of the following is most nearly equal to $$\frac{62.5 * 10^6}{2.5 *10 - 3.5* 10^{-6}}$$ ?'

A. $$-2.5*10^6$$

B. $$-3.5 * 10^{-6}$$

C. $$2.5 *10^6$$

D. $$-1$$

E. $$1$$[/quote]
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Joined: 19 Jul 2018
Posts: 7
Re: Which of the following is most nearly equal to 62.5*  [#permalink]

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26 Nov 2019, 14:00
1
62.5∗10^6/(2.5∗10−3.5∗10^−6)

To find an estimation, we should first analyze the lower part of the calculation.

2.5∗10−3.5∗10^−6. Since 3.5∗10^−6 is a very small number (3.5/10^6), the lower part could be estimated to be around 2.5∗10.

Therefore, we have 62.5∗10^6/2.5∗10 and at this point with the answers given we can see that the only one close to this is answer C since A, B and D are negative and the previous number is not negative and all and its also very far away to be 1.

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Re: Which of the following is most nearly equal to 62.5*  [#permalink]

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28 Nov 2019, 17:38
Bunuel wrote:
Which of the following is most nearly equal to $$\frac{62.5 * 10^6}{2.5 *10 - 3.5* 10^{-6}}$$ ?'

A. $$-2.5*10^6$$

B. $$-3.5 * 10^{-6}$$

C. $$2.5 *10^6$$

D. $$-1$$

E. $$1$$

Since 3.5 x 10^-6 is almost 0, we can disregard it. In that case, the expression will be approximately equal to:

(62.5 x 10^6)/(2.5 x 10) = (625 x 10^5)/25 = 25 x 10^5 = 2.5 x 10^6

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Re: Which of the following is most nearly equal to 62.5*   [#permalink] 28 Nov 2019, 17:38
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