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If the angles on the straight line above are multiples of 10 and x > 9
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10 May 2023, 05:01

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GRE If the angles on the straight line above.jpg [ 9.24 KiB | Viewed 631 times ]

If the angles on the straight line above are multiples of 10 and x > 90 degrees, which of the following is the value of y?

Indicate all that apply

0

2

5

10

20

Post A Detailed Correct Solution For The Above Questions And Get Kudos.

Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos

\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge

\(\Longrightarrow\) GRE GEOMETRY

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Re: If the angles on the straight line above are multiples of 10 and x > 9
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27 May 2023, 10:16

Expert Reply

x+2y=120

y=120-x/2

Now we do know form the stem that x is a multiple of 10 and >90

Therefore the only two values to find y that we have must be 100 and 110. 120 is not possible , of course, because y would be 0 so it is impossible

If x= 100 y=10

If x = 110 then y =5

C and D are the only viable options

_________________

y=120-x/2

Now we do know form the stem that x is a multiple of 10 and >90

Therefore the only two values to find y that we have must be 100 and 110. 120 is not possible , of course, because y would be 0 so it is impossible

If x= 100 y=10

If x = 110 then y =5

C and D are the only viable options

_________________

Re: If the angles on the straight line above are multiples of 10 and x > 9
[#permalink]
08 Sep 2023, 08:02

Carcass wrote:

Now we do know form the stem that x is a multiple of 10 and >90

Therefore the only two values to find y that we have must be 100 and 110. 120 is not possible, of course, because y would be 0 so it is impossible

Where did this problem and answer come from? Zero is a multiple of every number. Hence Y can be 0 and not violate any constraints from the stem.

Re: If the angles on the straight line above are multiples of 10 and x > 9
[#permalink]
08 Sep 2023, 08:25

Expert Reply

If the angles on the straight line above are multiples of 10

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If the angles on the straight line above are multiples of 10 and x > 9
[#permalink]
Updated on: 08 Sep 2023, 09:50

Once again, 0 is a multiple of 10.

Please explain how x cannot be 120 without arrogantly restating the stem.

You think that I am referring to the ANSWER of 0 being a multiple of 10...I am not. If that were true, wouldn't I be questioning the validity of 5 being an answer too?

Let me break it down according to the givens in the stem:

"the ANGLES on the straight line above are multiples of 10

1) 60 is a multiple of 10 (TRUE)

2) x=120 is a multiple of 10 (TRUE)

3) 2(0)=0 is a multiple of 10 (TRUE)

So I am asking what constraints in the stem am I failing to see to make A not a correct answer. I would say Jamboree needs to rephrase this question or give them kudos for disguising some constraint I am not aware of

Please explain how x cannot be 120 without arrogantly restating the stem.

You think that I am referring to the ANSWER of 0 being a multiple of 10...I am not. If that were true, wouldn't I be questioning the validity of 5 being an answer too?

Let me break it down according to the givens in the stem:

"the ANGLES on the straight line above are multiples of 10

1) 60 is a multiple of 10 (TRUE)

2) x=120 is a multiple of 10 (TRUE)

3) 2(0)=0 is a multiple of 10 (TRUE)

So I am asking what constraints in the stem am I failing to see to make A not a correct answer. I would say Jamboree needs to rephrase this question or give them kudos for disguising some constraint I am not aware of

Originally posted by Ranger3291 on 08 Sep 2023, 08:33.

Last edited by Ranger3291 on 08 Sep 2023, 09:50, edited 1 time in total.

Last edited by Ranger3291 on 08 Sep 2023, 09:50, edited 1 time in total.

Re: If the angles on the straight line above are multiples of 10 and x > 9
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08 Sep 2023, 09:49

Expert Reply

I ? Carcass? arrogant ???

oh boy.........

Even though zero is a multiple of any number in this case it cannot be zero

1) If we have x+2y+60=180

x+2y=120

x +0=120

x=120

Then the question would not have any sense in asking you for the value of Y

2) Even though there is no information about the diagram and we do not know if it draws the scale or not haing the 2y angle to 0 is also impossible because IF we do have an angle even if it is close or approximate to zero CANNOT be zero because from the figure we DO have an angle.

I hope this helps

_________________

oh boy.........

Even though zero is a multiple of any number in this case it cannot be zero

1) If we have x+2y+60=180

x+2y=120

x +0=120

x=120

Then the question would not have any sense in asking you for the value of Y

2) Even though there is no information about the diagram and we do not know if it draws the scale or not haing the 2y angle to 0 is also impossible because IF we do have an angle even if it is close or approximate to zero CANNOT be zero because from the figure we DO have an angle.

I hope this helps

_________________

If the angles on the straight line above are multiples of 10 and x > 9
[#permalink]
08 Sep 2023, 09:56

Carcass wrote:

Then the question would not have any sense in asking you for the value of Y

IF we do have an angle even if it is close or approximate to zero CANNOT be zero because from the figure we DO have an angle.

IF we do have an angle even if it is close or approximate to zero CANNOT be zero because from the figure we DO have an angle.

1) The GRE doesn't have to justify if what it's asking makes sense, just if an answer is logically sound.

1.1) Does it make sense that the GRE is asking us this question if they already know the answer?

2) Are you saying that an angle cannot be zero?

I hope this helps

Re: If the angles on the straight line above are multiples of 10 and x > 9
[#permalink]
08 Sep 2023, 10:29

Expert Reply

Sure it can. Why not

However from the equation that we could easily set up we can infer that y is not zero

\(y=\frac{120-x}{2}\)

\(\frac{120-x}{2}\) is a number divisible by two

x \(\neq\) zero

so y \(\neq\) zero

Therefore we can conclude that zero is NOT among our answer choices for sure

_________________

However from the equation that we could easily set up we can infer that y is not zero

\(y=\frac{120-x}{2}\)

\(\frac{120-x}{2}\) is a number divisible by two

x \(\neq\) zero

so y \(\neq\) zero

Therefore we can conclude that zero is NOT among our answer choices for sure

_________________

gmatclubot

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