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Which is greater x+y or 90

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Carcass
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Which is greater x+y or 90 [#permalink] New post   20 Oct 2018, 07:12
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Quantity A
Quantity B
x+y
90°


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
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Official Answer
B
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pranab223
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Re: x+y [#permalink] New post   20 Oct 2018, 20:04
1
Carcass wrote:
Attachment:
triangle.jpg


Quantity A
Quantity B
x+y
90°


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.



Since sum of the angles of a \(\triangle\)= 180°

given one angle is 90°, so the sum of other two angles i.e. x° + y° < 90° ( Since y° don't constitute the full angle)

Hence Option B
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Re: x+y [#permalink] New post   11 Jan 2019, 21:47
1
pranab01 wrote:


Since sum of the angles of a \(\triangle\)= 180°

given one angle is 90°, so the sum of other two angles i.e. x° + y° = 90°

Option C

No, may be you are confused with right triangle and the obtuse triangle. Obtuse triangle is part of right triangle.

Y is not the full angle of right triangle.

In right triangle,
90 = x + (y+something)

hence, 90>x+y

Answer B.
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chetan2u
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Re: x+y [#permalink] New post   11 Jan 2019, 22:20
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Carcass wrote:
Attachment:
The attachment triangle.jpg is no longer available


Quantity A
Quantity B
x+y
90°


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.



Look at the attached figure..

triangle ABC is right angled triangle with angle B as 90.
Sum of angles of ABC will be 180, so \(A + B+C=180........z+y+90+x=180......z+(y+x)=90......y+x=90-z\)
since z is a positive quantity, x+y will be LESS than 90..

Hence, 90 > x+y.....B>A

B
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Re: x+y [#permalink] New post   12 Jan 2019, 04:52
AE wrote:
pranab01 wrote:


Since sum of the angles of a \(\triangle\)= 180°

given one angle is 90°, so the sum of other two angles i.e. x° + y° = 90°

Option C

No, may be you are confused with right triangle and the obtuse triangle. Obtuse triangle is part of right triangle.

Y is not the full angle of right triangle.

In right triangle,
90 = x + (y+something)

hence, 90>x+y

Answer B.


Sorry my mistake. Thanks
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Re: Which is greater x+y or 90 [#permalink] New post   04 Jun 2021, 07:47
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Which is greater x+y or 90 [#permalink]
04 Jun 2021, 07:47
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