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3471 miles = 5280*3471 feet
but we need answer in inches
thus:
5280*3471*12 inches ~= 5300*3500*12 = 1.855*10^7 *12 = 2.2 *10^8

Ans: C
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Bunuel
If the city centers of New York and London are 3,471 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)

A. 1.75 × 10^7
B. 1.83 × 10^7
C. 2.10 × 10^8
D. 2.10 × 10^9
E. 2.20 × 10^10
1 feet = 12 inches
1 mile = 5280 feet = 5280*12 inches = 63360 inches = 6.3*10^4 inches (approx)
—> 3471 miles = (3.5*10^3)*(6.3*10^4) approx
= 3.5*6.3*10^7
= 21*10^7 approx
= 2.1*10^8

IMO Option C

 
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Bunuel
If the city centers of New York and London are 3,471 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)

A. 1.75 × 10^7
B. 1.83 × 10^7
C. 2.10 × 10^8
D. 2.10 × 10^9
E. 2.20 × 10^10
I'd like to believe that I have the simplest (which would also translate to the "fastest") solution to this:

Whenever there's which of the following is closest / approximately , I'd suggest you go aggressive with rounding and estimating to save the most critical thing in the GMAT, i.e. "time", since it's very obvious that by giving this question - GMAT isn't really intending to check whether you know "how to multiply", rather it wants to see how fast you can do it

So here's what I did, 3471 ~3500 miles and 5280 feet in a mile ~ 5000 feet in a mile, now I straight went for 3500 * 5000 or 35*5*10^5, now I have 175*10^5

Now getting down to the "inches" part, 175*10^5*12, I have 2100*10^5, which quickly gives me 2.1*10^8 and I look up the options and hit (D) - 30 seconds, and I move on
 
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Bunuel
If the city centers of New York and London are 3,471 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)

A. 1.75 × 10^7
B. 1.83 × 10^7
C. 2.10 × 10^8
D. 2.10 × 10^9
E. 2.20 × 10^10

The conversion for feet to inches is the following:
\(1 foot = 12 inches\)

\(3471 miles * \frac{5280 feet}{1 mile}\)

\(= 3471 * 5280 feet * \frac{12 inches}{1 feet}\)

\(= 3471*5280*12 inches\)

You are told to approximate.
3471 ~ 3500
5280 ~ 5000
12 ~ 10

\(3500 = 35 * 100\)
\(5000= 5 * 1000\)
\(10 = 10\)

\(3500 * 5000 * 10 \)
\(= 35*100*5*1000*10\)
\(= 35*5*10^6\)
\(= 175 * 10^6\)
\(= 1.75*10^8\)

Glancing at the answer choices, the closest choice to what we got is C.

Thus, C is the answer.
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Do i have to remember measurements so far the question always gives me a value in gmat so that i can convert them.bht this question didn't?
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Do i have to remember measurements so far the question always gives me a value in gmat so that i can convert them.bht this question didn't?
A proper GMAT question will include necessary conversions. However, you should have a few basic ones memorized, like 1 hour = 60 minutes, and similar fundamental conversions.
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How I did was 5280 is ~5000. Now 5*12 = 60. So we have 60K and then multiply with 3000 - so my answer tended to be 1.8 * 10^7
But what I realized went wrong was taking 3471 as 3000 - since rounding off diff was more than 10%
So if I round up to 3500 it will be 35*6 = 2.1 and that will land answer C. Learning for me was not to round off or approx beyong 10%
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