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25 Jun 2020, 01:49
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
71% (02:14) correct
29%
(02:42)
wrong
based on 220
sessions
History
Date
Time
Result
Not Attempted Yet
[GMAT math practice question]
What is \(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)?
A. \(\frac{5}{7}\)
B. \(\frac{5}{8}\)
C. \(\frac{7}{8 } \)
D. \(\frac{15}{56} \)
E.\( \frac{23}{56}\)
What is \(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)?
A. \(\frac{5}{7}\)
B. \(\frac{5}{8}\)
C. \(\frac{7}{8 } \)
D. \(\frac{15}{56} \)
E.\( \frac{23}{56}\)
25 Jun 2020, 01:57
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MathRevolution
[GMAT math practice question]
What is \(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)?
A. \(\frac{5}{7}\)
B. \(\frac{5}{8}\)
C. \(\frac{7}{8 } \)
D. \(\frac{15}{56} \)
E.\( \frac{23}{56}\)
What is \(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)?
A. \(\frac{5}{7}\)
B. \(\frac{5}{8}\)
C. \(\frac{7}{8 } \)
D. \(\frac{15}{56} \)
E.\( \frac{23}{56}\)
Asked: What is \(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)?
\(\frac{1}{n(n+1)} = \frac{1}{n }- \frac{1}{n+1}\)
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)
\((\frac{1}{1} - \frac{1}{2})+(\frac{1}{2}-\frac{1}{3})+(\frac{1}{3}-\frac{1}{4}) + ... + (\frac{1}{7}-\frac{1}{8})\)
\(1 - \frac{1}{8} = \frac{7}{8}\)
IMO C
25 Jun 2020, 03:48
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I solved this by looking at the answer options.
Since S = 1/2 + 1/6 + 1/12 + ... + 1/56,
the answer should be greater than 1/2.
This eliminates options D (15/56 ~= 0.26) and E (23/56 ~= 0.41)
Add 1/2 + 1/6 + 1/12
This gives us 3/4. So now we can eliminate answer choices A(5/7 ~= 0.71) B (5/8 = 0.625) which are both less than 0.75.
Thus the answer is C
Since S = 1/2 + 1/6 + 1/12 + ... + 1/56,
the answer should be greater than 1/2.
This eliminates options D (15/56 ~= 0.26) and E (23/56 ~= 0.41)
Add 1/2 + 1/6 + 1/12
This gives us 3/4. So now we can eliminate answer choices A(5/7 ~= 0.71) B (5/8 = 0.625) which are both less than 0.75.
Thus the answer is C
