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the answer should be E here's why
st(1) says two angle are 90` but the remaining two angles could by anything to make 180` like x+y=180`Not Sufficient
st(2) says one angle is twice the other, also Not Sufficient because we know only relationship of these angles but not have information about the other two angles;
Combined: two angles are 90 and yet the other two angles are in relationship 2:1. This can be anything to make 180 --> x+2y=180 depending on x (10,20,30...) we may have y (85, 80, 75...) hence Not Sufficient
st(1) says two angle are 90` but the remaining two angles could by anything to make 180` like x+y=180`Not Sufficient
st(2) says one angle is twice the other, also Not Sufficient because we know only relationship of these angles but not have information about the other two angles;
Combined: two angles are 90 and yet the other two angles are in relationship 2:1. This can be anything to make 180 --> x+2y=180 depending on x (10,20,30...) we may have y (85, 80, 75...) hence Not Sufficient
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
Acc to you,Night reader wrote:the answer should be E here's why
st(1) says two angle are 90` but the remaining two angles could by anything to make 180` like x+y=180`Not Sufficient
st(2) says one angle is twice the other, also Not Sufficient because we know only relationship of these angles but not have information about the other two angles;
Combined: two angles are 90 and yet the other two angles are in relationship 2:1. This can be anything to make 180 --> x+2y=180 depending on x (10,20,30...) we may have y (85, 80, 75...) hence Not Sufficient
angle are
10 : 85
20:80 and
30 : 75
BUT
this doesn't satisfy 2nd statement which says that
B = 2C
only one thing satisfy this scenario and that is
120: 60
this is why i put C ans.
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good spot - let me correct an example for statement (2). I should have taken 2:1 precisely and not 2x+y
OK, look here --> if you pair one 90` and the other 90` you have also 45` and 45`, Agree?
it's good that you made up x+y=180 and x=2y from which x=60` only, BUT as you see it can be 45` too - hence Not Sufficient
one angle is 50` and the other is 130`, OR another set one is 40` and the other is
OK, look here --> if you pair one 90` and the other 90` you have also 45` and 45`, Agree?
it's good that you made up x+y=180 and x=2y from which x=60` only, BUT as you see it can be 45` too - hence Not Sufficient
one angle is 50` and the other is 130`, OR another set one is 40` and the other is
btgyes wrote:Acc to you,Night reader wrote:the answer should be E here's why
st(1) says two angle are 90` but the remaining two angles could by anything to make 180` like x+y=180`Not Sufficient
st(2) says one angle is twice the other, also Not Sufficient because we know only relationship of these angles but not have information about the other two angles;
Combined: two angles are 90 and yet the other two angles are in relationship 2:1. This can be anything to make 180 --> x+2y=180 depending on x (10,20,30...) we may have y (85, 80, 75...) hence Not Sufficient
angle are
10 : 85
20:80 and
30 : 75
BUT
this doesn't satisfy 2nd statement which says that
B = 2C
only one thing satisfy this scenario and that is
120: 60
this is why i put C ans.
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
GUYS...clock60 wrote:also think that the answer is E
possible angles of rectangle are
90,90,120,60 the answer is yes
45,90,90 135, the answer is no
in second scenario ie
45, 90 , 90 and 135 -> WRONG SCENARIO
because 135 is not the double of 45 (as 2nd statement says)
so there is only one scenario exists and that is
90 90 60 120
let me know if any other scenario exists..
thanks...
- ankurmit
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I think answer should be C only
As in 2nd stem we are given that angle ABC is twice the measure of angle BCD.
Hence possible values are only 90,90,120,60.
As in 2nd stem we are given that angle ABC is twice the measure of angle BCD.
Hence possible values are only 90,90,120,60.
--------
Ankur mittal
Ankur mittal
YES...! Absolutely correct....!ankurmit wrote:I think answer should be C only
As in 2nd stem we are given that angle ABC is twice the measure of angle BCD.
Hence possible values are only 90,90,120,60.
but MOST SURPRIZING element in this ques is ...
ACC TO GMAC , ANSWER IS E...!
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- Anurag@Gurome
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(1) Angles of the quadrilateral are 90º, 90º, x, and y, where x + y = 180º.
Clearly, x and y can take any values so that they add to 180. So, we don't get a unique answer.
Hence, (1) is NOT SUFFICIENT.
(2)![Image](https://s1.postimage.org/2sx39t43o/Quadrilateral.jpg)
x + 2x + a + d = 360º
Again, we don't get a unique answer.
Hence, (2) is NOT SUFFICIENT.
Combining (1) and (2), we don't know which two angles of ABCD are 90º.
It may be possible that 2x = 90 or x = 45, which implies angles of the quadrilateral are 90, 90, 45, and 135 (notice here that 90 = 2(45), which satisfies the 2nd condition.)
If a = d = 90, x = 60, and 2x = 120, then one of the interior angles is 60º.
From the above examples, it is clear, that one of the interior angles may or may not be 60º.
So, combining the two statements is also NOT SUFFICIENT.
The correct answer is E.
Clearly, x and y can take any values so that they add to 180. So, we don't get a unique answer.
Hence, (1) is NOT SUFFICIENT.
(2)
![Image](https://s1.postimage.org/2sx39t43o/Quadrilateral.jpg)
x + 2x + a + d = 360º
Again, we don't get a unique answer.
Hence, (2) is NOT SUFFICIENT.
Combining (1) and (2), we don't know which two angles of ABCD are 90º.
It may be possible that 2x = 90 or x = 45, which implies angles of the quadrilateral are 90, 90, 45, and 135 (notice here that 90 = 2(45), which satisfies the 2nd condition.)
If a = d = 90, x = 60, and 2x = 120, then one of the interior angles is 60º.
From the above examples, it is clear, that one of the interior angles may or may not be 60º.
So, combining the two statements is also NOT SUFFICIENT.
The correct answer is E.
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Thanks a lot...Anurag@Gurome wrote:(1) Angles of the quadrilateral are 90º, 90º, x, and y, where x + y = 180º.
Clearly, x and y can take any values so that they add to 180. So, we don't get a unique answer.
Hence, (1) is NOT SUFFICIENT.
(2)
x + 2x + a + d = 360º
Again, we don't get a unique answer.
Hence, (2) is NOT SUFFICIENT.
Combining (1) and (2), we don't know which two angles of ABCD are 90º.
It may be possible that 2x = 90 or x = 45, which implies angles of the quadrilateral are 90, 90, 45, and 135 (notice here that 90 = 2(45), which satisfies the 2nd condition.)
If a = d = 90, x = 60, and 2x = 120, then one of the interior angles is 60º.
From the above examples, it is clear, that one of the interior angles may or may not be 60º.
So, combining the two statements is also NOT SUFFICIENT.
The correct answer is E.
i assumed that two angles which are 90 are diagonally opposite... this is what i dis wrong...
anyway thanks a lot...
![Smile :)](./images/smilies/smile.png)
just one more rquest Anurag...
could you plz confirm me ans on this thread.. i know ans is C option.. but i want the exact ans.. i found it 67
if you can confirm on this then it will be very nice of you..!
ta
https://www.beatthegmat.com/standard-dev ... tml#342234
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it just takes reading the post carefully, before asking to explain
![Smile :)](./images/smilies/smile.png)
Night reader wrote:good spot - let me correct an example for statement (2). I should have taken 2:1 precisely and not 2x+y
OK, look here --> if you pair one 90` and the other 90` you have also 45` and 45`, Agree?
it's good that you made up x+y=180 and x=2y from which x=60` only, BUT as you see it can be 45` too - hence Not Sufficient
one angle is 50` and the other is 130`, OR another set one is 40` and the other isbtgyes wrote:Acc to you,Night reader wrote:the answer should be E here's why
st(1) says two angle are 90` but the remaining two angles could by anything to make 180` like x+y=180`Not Sufficient
st(2) says one angle is twice the other, also Not Sufficient because we know only relationship of these angles but not have information about the other two angles;
Combined: two angles are 90 and yet the other two angles are in relationship 2:1. This can be anything to make 180 --> x+2y=180 depending on x (10,20,30...) we may have y (85, 80, 75...) hence Not Sufficient
angle are
10 : 85
20:80 and
30 : 75
BUT
this doesn't satisfy 2nd statement which says that
B = 2C
only one thing satisfy this scenario and that is
120: 60
this is why i put C ans.
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
Thanks mate..Night reader wrote:it just takes reading the post carefully, before asking to explain
Night reader wrote:good spot - let me correct an example for statement (2). I should have taken 2:1 precisely and not 2x+y
OK, look here --> if you pair one 90` and the other 90` you have also 45` and 45`, Agree?
it's good that you made up x+y=180 and x=2y from which x=60` only, BUT as you see it can be 45` too - hence Not Sufficient
one angle is 50` and the other is 130`, OR another set one is 40` and the other isbtgyes wrote:Acc to you,Night reader wrote:the answer should be E here's why
st(1) says two angle are 90` but the remaining two angles could by anything to make 180` like x+y=180`Not Sufficient
st(2) says one angle is twice the other, also Not Sufficient because we know only relationship of these angles but not have information about the other two angles;
Combined: two angles are 90 and yet the other two angles are in relationship 2:1. This can be anything to make 180 --> x+2y=180 depending on x (10,20,30...) we may have y (85, 80, 75...) hence Not Sufficient
angle are
10 : 85
20:80 and
30 : 75
BUT
this doesn't satisfy 2nd statement which says that
B = 2C
only one thing satisfy this scenario and that is
120: 60
this is why i put C ans.
could you plz confirm me ans on one more thread.. i know ans is C option.. but i want the exact ans.. i found it 67
https://www.beatthegmat.com/standard-dev ... tml#342234
Thanks a lot