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18 Mar 2015, 05:16
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B
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Difficulty:
35%
(medium)
Question Stats:
71% (01:49) correct
29%
(01:49)
wrong
based on 467
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The ratio of males to females in a particular school is 4:5. How many male students are there?
(1) If the number of girls increased by 20%, then males would constitute 40% of this larger student body.
(2) If 10 more male students joined the school, the new ratio of males to females would be 9:10.
(1) If the number of girls increased by 20%, then males would constitute 40% of this larger student body.
(2) If 10 more male students joined the school, the new ratio of males to females would be 9:10.
18 Mar 2015, 09:14
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Ans- B
(1)INSUFFICIENT when female increases by 20%, male= 40 % of total.
\(\frac{m}{f}= \frac{4}{5}\)
\(\frac{m}{1.2f} = \frac{40}{60}=\frac{2}{3}\) - of no use. since we need 2 equations to solve
(2) SUFFICIENT. if 10 more male students join , new ratio= \frac{9}{10}
\(\frac{(m+10)}{f} = \frac{9}{10}\) - eq-1
\(\frac{m}{f}= \frac{4}{5}\) - eq-2
Solving which we will get m= 80 and f= 100 ( not required to solve actually, but we should always reach to the final answers).
Hence. Solved.
(1)INSUFFICIENT when female increases by 20%, male= 40 % of total.
\(\frac{m}{f}= \frac{4}{5}\)
\(\frac{m}{1.2f} = \frac{40}{60}=\frac{2}{3}\) - of no use. since we need 2 equations to solve
(2) SUFFICIENT. if 10 more male students join , new ratio= \frac{9}{10}
\(\frac{(m+10)}{f} = \frac{9}{10}\) - eq-1
\(\frac{m}{f}= \frac{4}{5}\) - eq-2
Solving which we will get m= 80 and f= 100 ( not required to solve actually, but we should always reach to the final answers).
Hence. Solved.
General Discussion
18 Mar 2015, 06:29
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Should be B.
In A relative amounts are given, even in the stem we have a ratio which is again a- relative amount. Hence cant find the absolute amount from two relative values.
In B, we have an absolute amount '10' and a ratio representing the change after adding 10 to the numerator.
In A relative amounts are given, even in the stem we have a ratio which is again a- relative amount. Hence cant find the absolute amount from two relative values.
In B, we have an absolute amount '10' and a ratio representing the change after adding 10 to the numerator.
