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02 Aug 2024, 08:45
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
60% (01:41) correct
40%
(01:34)
wrong
based on 72
sessions
History
Date
Time
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Not Attempted Yet
Joan has a total of $5.50 in coins from country X. How many 50 cents coins does she have? ($1= 100 cents)
(1) Joan has a total of 11 coins
(2) The denomination of the coins in country X is 25 cents, 50 cents, and $1 only.
(1) Joan has a total of 11 coins
(2) The denomination of the coins in country X is 25 cents, 50 cents, and $1 only.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
05 Aug 2024, 05:36
Kudos
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Bunuel
(1) Joan has a total of 11 coins
Without the denominations it is not possible to get the number of \(50\) cent coins.
One scenario : We could have eleven \(50\) cent coins OR ten \(50\) cent coins + two \(25\) cent coins.
INSUFF.
(2) The denomination of the coins in country X is 25 cents, 50 cents, and $1 only.
\(25x+50y+100z = 550\)
\(x+2y+4z=22\)
One scenario :
\(x=2,y=4,z=3 \)
\(x=4,y=5,z=2\)
INSUFF.
1+2
\(x=4,y=5,z=2\)
\(x=0,y=11,z=0 \)
NOTE : Question does not say that he has coins in all the denominations.
INSUFF.
Ans E
Hope it helped.
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