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27 Dec 2015, 10:32
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D
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:
93% (00:27) correct
7%
(00:26)
wrong
based on 86
sessions
History
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Time
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Not Attempted Yet
In the figure above, if lines l and m are parallel, what is the value of c ?
(1) a = 150
(2) b = 30
Attachment:
2015-12-27_2131.png [ 10.6 KiB | Viewed 16343 times ]
28 Dec 2015, 12:26
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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.
In the figure above, if lines l and m are parallel, what is the value of c ?
(1) a = 150
(2) b = 30
In a case of the figure above, we have 3 variables (a, b, and c) and 2 equations (b=c and a+b=180). Thus, we need 1 more equation to match the number of variables and the number of equations. Since, 1) and 2) each has 1 equation, there is high chance that D is the answer.
In a case of 1), it states that a=150. This means that b=c=30. The answer is unique and the condition is sufficient.
In a case of 2), it states b=30. Hence, b=c=30. The answer is unique and the condition is sufficient.
The answer is D.
For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
In the figure above, if lines l and m are parallel, what is the value of c ?
(1) a = 150
(2) b = 30
In a case of the figure above, we have 3 variables (a, b, and c) and 2 equations (b=c and a+b=180). Thus, we need 1 more equation to match the number of variables and the number of equations. Since, 1) and 2) each has 1 equation, there is high chance that D is the answer.
In a case of 1), it states that a=150. This means that b=c=30. The answer is unique and the condition is sufficient.
In a case of 2), it states b=30. Hence, b=c=30. The answer is unique and the condition is sufficient.
The answer is D.
For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
29 Dec 2015, 04:06
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Bunuel
Given: l and m are parallel
Attachment:
Value of C.JPG [ 12.74 KiB | Viewed 12678 times ]
a + b = 180 (i)
b = c (ii)
Required: Value of c
If we are told the values of any one of a or b, we can find the value of C
Statement 1: a = 150
From (i), we have b = 30
and from (ii), we have c = 30
SUFFICIENT
Statement 2: b = 30
From (ii), we have c = 30
SUFFICIENT
Option D
