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ConnectTheDots
GMAT 2: 770 Q50 V47
Posts: 239
01 Jun 2014, 12:14
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
45% (02:12) correct
55%
(02:01)
wrong
based on 578
sessions
History
Date
Time
Result
Not Attempted Yet
A mixture of sand and cement contains, 3 parts of sand and 5 parts of cement. How much of the mixture must be substituted with sand to make the mixture half sand and half cement?
A. 1/3
B. 1/4
C. 1/5
D. 1/7
E. 1/8
Source: Indian CAT
A. 1/3
B. 1/4
C. 1/5
D. 1/7
E. 1/8
Source: Indian CAT
04 Jun 2014, 02:08
Kudos
Bookmarks
Initial
Sand ............... Cement ............... Total
\(\frac{3}{8}\) ..................... \(\frac{5}{8}\) ...................... 1
Requirement
\(\frac{4}{8} ..................... \frac{4}{8} ..................... 1\)
Just focus on cement:
To have \(\frac{4}{8}\) cement, we require to remove
\(\frac{5}{8} - \frac{4}{8} = \frac{1}{8}\)cement
In Mixture, the portion of cement is \(\frac{5}{8};\)so to remove \(\frac{1}{8}\) cement, mixture required to be removed
\(= \frac{\frac{1}{8} * 1}{\frac{5}{8}}\)
\(= \frac{1}{5}\)
Answer = C
Sand ............... Cement ............... Total
\(\frac{3}{8}\) ..................... \(\frac{5}{8}\) ...................... 1
Requirement
\(\frac{4}{8} ..................... \frac{4}{8} ..................... 1\)
Just focus on cement:
To have \(\frac{4}{8}\) cement, we require to remove
\(\frac{5}{8} - \frac{4}{8} = \frac{1}{8}\)cement
In Mixture, the portion of cement is \(\frac{5}{8};\)so to remove \(\frac{1}{8}\) cement, mixture required to be removed
\(= \frac{\frac{1}{8} * 1}{\frac{5}{8}}\)
\(= \frac{1}{5}\)
Answer = C
01 Jun 2014, 15:05
Kudos
Bookmarks
ConnectTheDots
A mixture of sand and cement contains, 3 parts of sand and 5 parts of cement. How much of the mixture must be substituted with sand to make the mixture half sand and half cement?
A. 1/3
B. 1/4
C. 1/5
D. 1/7
E. 1/8
Source: Indian CAT
A. 1/3
B. 1/4
C. 1/5
D. 1/7
E. 1/8
Source: Indian CAT
We have total of 8 parts: 3 parts of sand and 5 parts of cement.
In order there to be half sand and half cement (4 parts of sand and 4 parts of cement), we should remove 1 part of cement. With 1 part of cement comes 3/5 parts of sand, so we should remove 1 + 3/5 = 8/5 part of the mixture, which is (8/5)/8 = 1/5 of the mixture.
Answer: C.
