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01 Oct 2019, 00:40
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Difficulty:
45%
(medium)
Question Stats:
72% (02:34) correct
28%
(02:42)
wrong
based on 397
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[GMAT math practice question]
What is the value of \(\frac{1}{(5*6)} + \frac{2}{(6*8)} + \frac{3}{(8*11)} + \frac{4}{(11*15)}\)?
\(A. \frac{1}{10}\)
\(B. \frac{3}{10}\)
\(C. \frac{3}{14}\)
\(D. \frac{2}{15}\)
\(E. \frac{3}{16}\)
What is the value of \(\frac{1}{(5*6)} + \frac{2}{(6*8)} + \frac{3}{(8*11)} + \frac{4}{(11*15)}\)?
\(A. \frac{1}{10}\)
\(B. \frac{3}{10}\)
\(C. \frac{3}{14}\)
\(D. \frac{2}{15}\)
\(E. \frac{3}{16}\)
01 Oct 2019, 01:56
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What is the value of \(\frac{1}{5*6}\) + \(\frac{2}{6*8}\)+ \(\frac{3}{8*11}\) + \(\frac{4}{11*15}\)?
\(\frac{1}{5*6}\) + \(\frac{2}{6*8}\)+ \(\frac{3}{8*11}\) + \(\frac{4}{11*15}\) can be written as
= \(\frac{1}{5}\) - \(\frac{1}{6}\) + \(\frac{1}{6}\) - \(\frac{1}{8}\)+ \(\frac{1}{8}\) - \(\frac{1}{11}\) +\(\frac{1}{11}\) - \(\frac{1}{15}\)
= \(\frac{1}{5}\) - \(\frac{1}{15}\)
= \(\frac{2}{15}\)
D is the answer
\(\frac{1}{5*6}\) + \(\frac{2}{6*8}\)+ \(\frac{3}{8*11}\) + \(\frac{4}{11*15}\) can be written as
= \(\frac{1}{5}\) - \(\frac{1}{6}\) + \(\frac{1}{6}\) - \(\frac{1}{8}\)+ \(\frac{1}{8}\) - \(\frac{1}{11}\) +\(\frac{1}{11}\) - \(\frac{1}{15}\)
= \(\frac{1}{5}\) - \(\frac{1}{15}\)
= \(\frac{2}{15}\)
D is the answer
General Discussion
01 Oct 2019, 01:23
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\(\frac{1}{(5∗6)}\)+\(\frac{2}{(6∗8)}\)+\(\frac{3}{(8∗11)}\)+\(\frac{4}{(11∗15)}\)
= {\(\frac{1}{(5∗6)}\)+\(\frac{2}{(6∗8)}\)} + {\(\frac{3}{(8∗11)}\)+\(\frac{4}{(11∗15)}\)}
={\(\frac{(8+10)}{(5*6*8)}\)} + {\(\frac{(45+32)}{(8*11*15)}\)}
={\(\frac{3}{(5*8)}\)} + {\(\frac{7}{(8*15)}\)}
=\(\frac{(9+7)}{(8*15)}\)
=\(\frac{2}{15}\)
Answer (D)
= {\(\frac{1}{(5∗6)}\)+\(\frac{2}{(6∗8)}\)} + {\(\frac{3}{(8∗11)}\)+\(\frac{4}{(11∗15)}\)}
={\(\frac{(8+10)}{(5*6*8)}\)} + {\(\frac{(45+32)}{(8*11*15)}\)}
={\(\frac{3}{(5*8)}\)} + {\(\frac{7}{(8*15)}\)}
=\(\frac{(9+7)}{(8*15)}\)
=\(\frac{2}{15}\)
Answer (D)
