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Max@Math Revolution
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[GMAT math practice question]
The figure shows a number line. Point A is on 1, and point B is on 3, and ABCD is a rectangle with AD = 1. As the figure shows, BD is a diagonal of ABCD and BD = BE. If x is the coordinate of point E, a is the integer part of x, and b is the decimal part of x, what is a - b/a + b?
A. 10 - 3 \(\sqrt{5}\) /2
B. 13 - 2 \(\sqrt{5}\) /3
C. 13 - 3 \(\sqrt{5}\) /3
D. 13 - 5 \(\sqrt{5}\) /2
E. 15 - 2 \(\sqrt{3}\)/ 5
The figure shows a number line. Point A is on 1, and point B is on 3, and ABCD is a rectangle with AD = 1. As the figure shows, BD is a diagonal of ABCD and BD = BE. If x is the coordinate of point E, a is the integer part of x, and b is the decimal part of x, what is a - b/a + b?
B. 13 - 2 \(\sqrt{5}\) /3
C. 13 - 3 \(\sqrt{5}\) /3
D. 13 - 5 \(\sqrt{5}\) /2
E. 15 - 2 \(\sqrt{3}\)/ 5
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