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Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment
06 Oct 2014, 15:00
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B
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Tough and Tricky questions: Ratios
Harold and Millicent are getting married and need to combine their already-full libraries. If Harold, who has 1/2 as many books as Millicent, brings 1/3 of his books to their new home, then Millicent will have enough room to bring 1/2 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?
A. 1/2
B. 2/3
C. 3/4
D. 4/5
E. 5/6
06 Oct 2014, 18:58
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Harold ............ ......Millicent ............. Total
\(\frac{x}{2}\) ...................... x (Assume)
Books brought in new home
\(\frac{x}{2} * \frac{1}{3} = \frac{x}{6}\) .......... \(\frac{x}{2}\) .............................\(\frac{x}{6} + \frac{x}{2} = \frac{2x}{3}\)
Required \(fraction = \frac{\frac{2x}{3}}{x} = \frac{2}{3}\)
Answer = B
\(\frac{x}{2}\) ...................... x (Assume)
Books brought in new home
\(\frac{x}{2} * \frac{1}{3} = \frac{x}{6}\) .......... \(\frac{x}{2}\) .............................\(\frac{x}{6} + \frac{x}{2} = \frac{2x}{3}\)
Required \(fraction = \frac{\frac{2x}{3}}{x} = \frac{2}{3}\)
Answer = B
07 Oct 2014, 02:38
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Harold and Millicent are getting married and need to combine their already-full libraries. If Harold, who has 1/2 as many books as Millicent, brings 1/3 of his books to their new home, then Millicent will have enough room to bring 1/2 of her books to their new home. What fraction of Millicent's old library capacity is the new home's library capacity?
Books with Millicent = M
Books with Harold = M/2
Har. brings 1/3 of books = M/6
Mill. can now bring M/2 books to fill the library completly
Capacity of new library = M/2 + M/6 = 4M/6 = 2M/3
Fraction of old lib = (2M/3) / M = 2 / 3
Books with Millicent = M
Books with Harold = M/2
Har. brings 1/3 of books = M/6
Mill. can now bring M/2 books to fill the library completly
Capacity of new library = M/2 + M/6 = 4M/6 = 2M/3
Fraction of old lib = (2M/3) / M = 2 / 3
