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14 Jun 2015, 14:11
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
74% (01:35) correct
26%
(01:39)
wrong
based on 262
sessions
History
Date
Time
Result
Not Attempted Yet
* + # = @
In the addition problem above, each of the symbols *, # and @ represents a positive single-digit number. If * > #, and if * and # are both odd, what is the value of *?
(1) @=6
(2) #=1
In the addition problem above, each of the symbols *, # and @ represents a positive single-digit number. If * > #, and if * and # are both odd, what is the value of *?
(1) @=6
(2) #=1
14 Jun 2015, 21:40
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I find it confusing to look at weird symbols like that, so I'd immediately replace everything with letters:
A, B and C are positive single digit integers, and all of these things are true:
• A > B
• A and B are both odd
• A + B = C.
We can leave this list as is, but I'm in the habit of quickly extracting any easy information from facts like these, because often that's the key to a GMAT DS problem. So one thing I'd notice is that, if A and B are odd, then using the equation A+B=C, it must be true that C is even. And since C is the sum of A and B, which are both positive, C is larger than A, and larger than B. So we can improve our list of facts:
• C > A > B
• A is odd, B is odd, and C is even
• A + B = C
We need to know what A is.
Statement 1 tells us C = 6, and since C is the sum of two odd single-digit numbers which are different (since A > B), we must be adding 1 + 5, and B = 1 and A = 5.
Statement 2 tells us that B = 1. We can meet the restrictions above by letting A be any odd single digit integer between 3 and 7 inclusive (we can't have A=9 because A+B = C, and C must be less than 10), so S2 is not sufficient.
A, B and C are positive single digit integers, and all of these things are true:
• A > B
• A and B are both odd
• A + B = C.
We can leave this list as is, but I'm in the habit of quickly extracting any easy information from facts like these, because often that's the key to a GMAT DS problem. So one thing I'd notice is that, if A and B are odd, then using the equation A+B=C, it must be true that C is even. And since C is the sum of A and B, which are both positive, C is larger than A, and larger than B. So we can improve our list of facts:
• C > A > B
• A is odd, B is odd, and C is even
• A + B = C
We need to know what A is.
Statement 1 tells us C = 6, and since C is the sum of two odd single-digit numbers which are different (since A > B), we must be adding 1 + 5, and B = 1 and A = 5.
Statement 2 tells us that B = 1. We can meet the restrictions above by letting A be any odd single digit integer between 3 and 7 inclusive (we can't have A=9 because A+B = C, and C must be less than 10), so S2 is not sufficient.
15 Jun 2015, 00:19
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heylookitskarl
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