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02 Dec 2015, 06:53
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
91% (00:43) correct
9%
(01:07)
wrong
based on 117
sessions
History
Date
Time
Result
Not Attempted Yet
If j and k are integers, is j + k an odd integer?
(1) j > 12
(2) j = k - 1
(1) j > 12
(2) j = k - 1
02 Dec 2015, 07:59
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1) insuff
2) j= k-1
j+k=k-1+k
j+k=2k-1 always odd suff
B
2) j= k-1
j+k=k-1+k
j+k=2k-1 always odd suff
B
05 Dec 2015, 12:55
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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
If j and k are integers, is j + k an odd integer?
(1) j > 12
(2) j = k - 1
This type of question is 495051 type of question.
There are 2 variables (j,k) and 2 equations are given by the 2 conditions, so there is high chance (C) will be the answer.
Looking at the conditions together, if j=even, then k=odd and if j=odd, then k=even and the answer to the question always becomes 'yes' and the answer seems like (C), but this is a commonly made mistake and if we apply commonly made mistake type 4(A),
from condition 1, we cannot know k, so this is insufficient,
and from condition 2, from j=k-1, (j,k)=(even,odd) or (odd,even), the answer to the question always becomes 'yes' and is sufficient,
so the answer becomes (B).
For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
If j and k are integers, is j + k an odd integer?
(1) j > 12
(2) j = k - 1
This type of question is 495051 type of question.
There are 2 variables (j,k) and 2 equations are given by the 2 conditions, so there is high chance (C) will be the answer.
Looking at the conditions together, if j=even, then k=odd and if j=odd, then k=even and the answer to the question always becomes 'yes' and the answer seems like (C), but this is a commonly made mistake and if we apply commonly made mistake type 4(A),
from condition 1, we cannot know k, so this is insufficient,
and from condition 2, from j=k-1, (j,k)=(even,odd) or (odd,even), the answer to the question always becomes 'yes' and is sufficient,
so the answer becomes (B).
For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
