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16 Jun 2016, 20:37
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B
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Difficulty:
25%
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Question Stats:
68% (00:57) correct
32%
(01:28)
wrong
based on 244
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In the x-y plane there is a line K, (x/a)+(y/b)=1. What is the x-intercept of line K?
1) a=2b
2) a=6
*An answer will be posted in 2 days.
1) a=2b
2) a=6
*An answer will be posted in 2 days.
16 Jun 2016, 20:48
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x/a + y/b = 1
The above equation is the intercept equation of a line, in which 'a' is the x intercept of the line and 'b' is the y intercept of the line.
Therefore to find the X intercept we need to find the value of a.
a) a= 2b
Clearly insufficient. Even if substitute the above into the equation we won't get the value of 'a' unless we have a point through which the line passes.
b) a=6
This is sufficient.
Therefore the X intercept of the line is (6,0)
B is the correct.
The above equation is the intercept equation of a line, in which 'a' is the x intercept of the line and 'b' is the y intercept of the line.
Therefore to find the X intercept we need to find the value of a.
a) a= 2b
Clearly insufficient. Even if substitute the above into the equation we won't get the value of 'a' unless we have a point through which the line passes.
b) a=6
This is sufficient.
Therefore the X intercept of the line is (6,0)
B is the correct.
19 Jun 2016, 17:45
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We can modify the original condition and the question. When the question asks about the x-intercept, we need to find the value of x when y=0. Then, if we substitute y=0, from x/a=1, we get x=a. Hence, we all need to know the value of a. Since the condition 2) states a=6, the condition is sufficient. Thus, the correct answer is B.
- 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.
- 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.
