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28%
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If @ denotes one of two arithmetic operations, addition or multiplication, and if k is an integer, what is the value of 3 @ k?
(1) 2 @ k = 3
(2) 1 @ 0 = k
(1) 2 @ k = 3
(2) 1 @ 0 = k
03 Mar 2012, 16:19
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bschoolnewbie2011
I think this question is worded extremely poorly.
This question is perfectly OK. Here are several GMAT Prep questions about the same concept:
the-symbol-represents-one-of-the-four-arithmetic-operation-107575.html
if-the-symbol-represents-either-addition-subtraction-101741.html
if-the-symbol-represents-either-addition-or-multiplication-104600.html
if-denotes-one-of-the-four-arithmetic-operations-addition-105472.html
if-the-operation-is-one-of-the-four-arithmetic-operations-101283.html
As for the solution:
If @ denotes one of two arithmetic operations, addition or multiplication, and if k is an integer, what is the value of 3 @ k?
(1) 2 @ k = 3 --> @ can only by addition because if it's multiplication then 2*k=3 -- k=3/2, which is not an integer as stated in the stem. So, we have 2+k=3 --> k=1 --> 3@k=3+1=4. Sufficient.
(2) 1 @ 0 = k --> @ can be both addition and multiplication, since 1+0=1=k=integer and 1*0=0=k=integer, so we also have two values of k: 1 and 0. In this case 3@k=3+1=4 or 3@k=3*0=0, two different answers. Not sufficient.
Answer: A.
Hope it helps.
07 Aug 2007, 17:59
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St1:
We know k is an integer, and 2xK results in an intger, 3.So x cannot be multiplication since that would require k to be a non-integer (3/2). Thus x must be addition, and k must be 1. and 3xk = 4. Sufficient.
St2:
Insufficient. It could be 1*0 = 0 (k=0) or 1+0 = 1 (k=1).
Ans A
We know k is an integer, and 2xK results in an intger, 3.So x cannot be multiplication since that would require k to be a non-integer (3/2). Thus x must be addition, and k must be 1. and 3xk = 4. Sufficient.
St2:
Insufficient. It could be 1*0 = 0 (k=0) or 1+0 = 1 (k=1).
Ans A
