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A triangle is formed by the xaxis, the yaxis, and Line M. Is the are [#permalink]
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11 Oct 2015, 09:34
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Re: A triangle is formed by the xaxis, the yaxis, and Line M. Is the are [#permalink]
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11 Oct 2015, 10:27
I think it should be A. Since 2 sides of the triangle are the two axes, it has to be a right angled triangle with one of the two axes as base and the other as altitude. The line M is the hypotenuse. As we are concerned with the area, the quadrant in which the triangle lies wont bother us. Assuming the triangle lies in 1st quadrant. Line M will intersect X axis at point (x,0) and Y axis at point (0,y). => x = height of the triangle and y = base => Area = \(\frac{xy}{2}\) We need to show if \(\frac{xy}{2} > 5\) S1 Slope of M = \(\frac{4}{3}\) => \(\frac{y0}{0x} = \frac{4}{3}\) => \(\frac{y}{x} = \frac{4}{3}\) => \(y=4; x=3\) hence, area = \(\frac{4*3}{2}\) = 6 >5. SufficientS2 x is 25% less than y => \(.75y = x\) here, we can have any pair values that would not necessarily satisfy \(\frac{xy}{2} > 5\) eg, \(y=1; x=.75\) => \(\frac{xy}{2} < 5\) and \(y=4; x=3\) => \(\frac{xy}{2} > 5\) hence Not sufficientAnswer: APlease correct me if i have gone wrong anywhere.
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Re: A triangle is formed by the xaxis, the yaxis, and Line M. Is the are [#permalink]
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11 Oct 2015, 13:28
Bunuel wrote: A triangle is formed by the xaxis, the yaxis, and Line M. Is the area of this triangle greater than 5?
(1) Line M has a slope of −4/3.
(2) The xintercept of Line M is 25% less than the yintercept.
Kudos for a correct solution. (1) Line M has a slope of −4/3 There are many parallel lines having a slope of 4/3 => Cannot make sure formed triangle having the area greater than 5 => INSUFFICIENT (2) The xintercept of Line M is 25% less than the yintercept. => Know slope => The same (1) => INSUFFICIENT Ans: E



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Re: A triangle is formed by the xaxis, the yaxis, and Line M. Is the are [#permalink]
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11 Oct 2015, 18:44
[quote="arhumsid"]I think it should be A.
Since 2 sides of the triangle are the two axes, it has to be a right angled triangle with one of the two axes as base and the other as altitude. The line M is the hypotenuse. As we are concerned with the area, the quadrant in which the triangle lies wont bother us. Assuming the triangle lies in 1st quadrant. Line M will intersect X axis at point (x,0) and Y axis at point (0,y). => x = height of the triangle and y = base => Area = \(\frac{xy}{2}\) We need to show if \(\frac{xy}{2} > 5\)
S1 Slope of M = \(\frac{4}{3}\) => \(\frac{y0}{0x} = \frac{4}{3}\) => \(\frac{y}{x} = \frac{4}{3}\) => \(y=4; x=3\) hence, area = \(\frac{4*3}{2}\) = 6 >5. Sufficient
S2 x is 25% less than y => \(.75y = x\) here, we can have any pair values that would not necessarily satisfy \(\frac{xy}{2} > 5\) eg, \(y=1; x=.75\) => \(\frac{xy}{2} < 5\) and \(y=4; x=3\) => \(\frac{xy}{2} > 5\) hence Not sufficient
Answer: A
Hi arhumsid,
I wanted to know whether x/y = 4/3 indicates that x=4 and y=3 or x & y are in a ratio of 4 : 3 ...?
If they are in ratio ( That is what i understand ) then A would't be a sufficient solution similar to B.
Answer should be E.



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Re: A triangle is formed by the xaxis, the yaxis, and Line M. Is the are [#permalink]
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11 Oct 2015, 18:50
A triangle is formed by the xaxis, the yaxis, and Line M. Is the area of this triangle greater than 5?
(1) Line M has a slope of −4/3. We know nothing of the x and y intercept. insufficient.
(2) The xintercept of Line M is 25% less than the yintercept. This is a ratio, we do not know of the slope of line m or the exact coordinates of the intercepts. insufficient
combined, we still only know the slope and a ratio of the intercepts. area could be greater or less than 5. Insufficient
Answer: E



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Re: A triangle is formed by the xaxis, the yaxis, and Line M. Is the are [#permalink]
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11 Oct 2015, 18:55
goldfinchmonster wrote: arhumsid wrote: I think it should be A.
Since 2 sides of the triangle are the two axes, it has to be a right angled triangle with one of the two axes as base and the other as altitude. The line M is the hypotenuse. As we are concerned with the area, the quadrant in which the triangle lies wont bother us. Assuming the triangle lies in 1st quadrant. Line M will intersect X axis at point (x,0) and Y axis at point (0,y). => x = height of the triangle and y = base => Area = \(\frac{xy}{2}\) We need to show if \(\frac{xy}{2} > 5\)
S1 Slope of M = \(\frac{4}{3}\) => \(\frac{y0}{0x} = \frac{4}{3}\) => \(\frac{y}{x} = \frac{4}{3}\) => \(y=4; x=3\) hence, area = \(\frac{4*3}{2}\) = 6 >5. Sufficient
S2 x is 25% less than y => \(.75y = x\) here, we can have any pair values that would not necessarily satisfy \(\frac{xy}{2} > 5\) eg, \(y=1; x=.75\) => \(\frac{xy}{2} < 5\) and \(y=4; x=3\) => \(\frac{xy}{2} > 5\) hence Not sufficient
Answer: A
Hi arhumsid,
I wanted to know whether x/y = 4/3 indicates that x=4 and y=3 or x & y are in a ratio of 4 : 3 ...?
If they are in ratio ( That is what i understand ) then A would't be a sufficient solution similar to B.
Answer should be E. oops! 100%, I cant agree with you more. x/y is a ratio and it wont give precise values.. My bad.. that's a blunder In this case, it should indeed be E. Thanks for pointing out goldfinchmonster!
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Re: A triangle is formed by the xaxis, the yaxis, and Line M. Is the are [#permalink]
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11 Oct 2015, 21:54
Bunuel wrote: A triangle is formed by the xaxis, the yaxis, and Line M. Is the area of this triangle greater than 5?
(1) Line M has a slope of −4/3.
(2) The xintercept of Line M is 25% less than the yintercept.
Kudos for a correct solution. Statement 1: Equation of line can be written as y =(4/3)x+c =>4x+3y=3c.....Infinite number of such lines possibles. Hence the Area of triangle formed by 3 lines cannot be determined. Insufficient Statement 2: Equation of line can be written as x/0.75a +y/a=1 => 4x+3y=3a Infinite number of such lines possibles. Hence the Area of triangle formed by 3 lines cannot be determined. Insufficient Statement 1 and 2 represents same set of lines, together they are insufficient. Answer : E
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Re: A triangle is formed by the xaxis, the yaxis, and Line M. Is the are [#permalink]
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12 Oct 2015, 01:09
Both the statements are similar..m=y/x=4/3 from first statement from second y/x=1.25 so Both alone or together are insufficient So E is the answer



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Re: A triangle is formed by the xaxis, the yaxis, and Line M. Is the are [#permalink]
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18 Oct 2015, 12:28
Bunuel wrote: A triangle is formed by the xaxis, the yaxis, and Line M. Is the area of this triangle greater than 5?
(1) Line M has a slope of −4/3.
(2) The xintercept of Line M is 25% less than the yintercept.
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTION:On this problem, statements 1 and 2 each give you the same information. The slope of −4/3 tells you that the line goes down 4 places for every 3 it moves to the right. And statement 2 tells you the same thing (the intercepts could be y = 4 and x = 3 or y = 8 and x = 6, for example  each of which has an area greater than 5). But note that you're never actually given a point on Line M, so the intercepts could also be y = 4/3 and x = 1 (with an area much less than 5). Therefore, the answer is E.
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Re: A triangle is formed by the xaxis, the yaxis, and Line M. Is the are [#permalink]
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27 Sep 2017, 08:18
Bunuel wrote: Bunuel wrote: A triangle is formed by the xaxis, the yaxis, and Line M. Is the area of this triangle greater than 5?
(1) Line M has a slope of −4/3.
(2) The xintercept of Line M is 25% less than the yintercept.
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTION:On this problem, statements 1 and 2 each give you the same information. The slope of −4/3 tells you that the line goes down 4 places for every 3 it moves to the right. And statement 2 tells you the same thing (the intercepts could be y = 4 and x = 3 or y = 8 and x = 6, for example  each of which has an area greater than 5). But note that you're never actually given a point on Line M, so the intercepts could also be y = 4/3 and x = 1 (with an area much less than 5). Therefore, the answer is E.Is this the right approach? triangle formed n any of the 4 quadrant will have an area of 3c^2/8(1/2*3c/4*c....y=4/3x+c,finding x and y intercept),but since we do not know the value of c we cannot say anything,and by B also we are getting the same thing that x=3c/4 so the answer is E



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Re: A triangle is formed by the xaxis, the yaxis, and Line M. Is the are [#permalink]
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27 Sep 2017, 14:42
Arhamsid you are wrong cause you are assuming the ratio as 4 and 3, where it can be 8 or 6, or even 2 and 1.5. So that's why satement 1 alone doesn't satisfy the condition.
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Re: A triangle is formed by the xaxis, the yaxis, and Line M. Is the are
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