MathRevolution wrote:
[GMAT math practice question]
Attachment:
A.png
In the number line above, the ticks are evenly spaced. Which point represents \(2^{10}\)?
A. A
B. B
C. C
D. D
E. E
\(2^8 = 256\) * \(2\) =
\(2^9 = 512\)
The distance between the points is \(512 - 256 = 256\)
\(\frac{Difference}{IntervalLength}=\) number of intervals \(2^{10} = 1,024\)
1) To get there from \(2^9 = 512\):
\((1,024 - 512) = 512\)
\(512\) is difference. Divide by length of interval.
\(\frac{512}{256} = 2\) intervals
Between \(2^9\) and \(2^{10}\) there are two intervals of 256. Count up.
2) To get there from \(2^8 = 256\):
\((1,024 - 256) = 768\)
\(\frac{768}{256} = 3\) intervals of 256. Count up.
\(2^{10}\) is at point B.
Answer B
_|_256_|_256_|_256_|_256_|_256|_
_\(2^8\)____\(2^9\)_____|_____\(2^{10}\)____|_____|_
_\(2^8\)____\(2^9\)_____A_____B______C_____D_
_________________
___________________________________________________________________
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-- Ernest Hemingway
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67% (01:33) correct 
