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505-555 (Easy)|   Fractions and Ratios|                  
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hemanthPA
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Drum x is 1/2 full of oil and drum y, which has twice the capacity of 26 Nov 2024, 10:27
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ggarr
Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/3 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?

A. 3/4
B. 5/6
C. 11/12
D. 7/6
E. 11/6

Show Spoiler
why not:
drum x capacity = x
drum y capacity = 2x

drum y contains 2/3(2x) = 4/3x oil
drum x + y = 4/3x + 1/2x = 11/6x
answer E ... this is wrong.
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Easiest approach to solve this is as belows, just take a common value which would suit 2 & 3

Drum Total cap Filled
X a 1/2
Y 2a 2/3

say a = 30L, so 2a is 60L, so X is filled by 15L and Y is filled by 40L

now pour the 15L from X to Y which has 40L in it, now in Y you have 40L + 15L which is 55L

they are asking whats the final capacity thats filled, which would be 55L/60L, which is simply 11/12.
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totaltestprepNick
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GMAT 1: 750 Q49 V42
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Drum x is 1/2 full of oil and drum y, which has twice the capacity of 25 Feb 2026, 15:31
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ggarr
Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/3 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?

A. 3/4
B. 5/6
C. 11/12
D. 7/6
E. 11/6
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C




Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience

[email protected]
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