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# Which is greater x+y or 90

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Which is greater x+y or 90 [#permalink]  20 Oct 2018, 07:12
Expert's post
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Question Stats:

92% (00:18) correct 7% (00:00) wrong based on 14 sessions
Attachment:

#GREpracticequestion Which is greater x+y or 90.jpg [ 15.31 KiB | Viewed 138 times ]

 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.
[Reveal] Spoiler: OA

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Re: x+y [#permalink]  20 Oct 2018, 20:04
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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]  11 Jan 2019, 21:47
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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

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Re: x+y [#permalink]  11 Jan 2019, 22:20
Expert's post
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
Attachments

trianglegre.jpg [ 11.46 KiB | Viewed 169 times ]

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Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

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Re: x+y [#permalink]  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

Sorry my mistake. Thanks
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Re: x+y   [#permalink] 12 Jan 2019, 04:52
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