It is currently 20 Mar 2018, 18:26

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the triangle above, x and y are integers. If 30 < y < 40, what is

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44351
In the triangle above, x and y are integers. If 30 < y < 40, what is [#permalink]

### Show Tags

01 Sep 2017, 00:37
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

86% (01:10) correct 14% (01:32) wrong based on 57 sessions

### HideShow timer Statistics

In the triangle above, x and y are integers. If 30 < y < 40, what is one possible value of x?

(A) 95
(B) 100
(C) 105
(D) 110
(D) 115

[Reveal] Spoiler:
Attachment:

2017-09-01_1133.png [ 11.44 KiB | Viewed 809 times ]
[Reveal] Spoiler: OA

_________________
BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2280
Location: India
GPA: 3.12
Re: In the triangle above, x and y are integers. If 30 < y < 40, what is [#permalink]

### Show Tags

01 Sep 2017, 02:13
1
KUDOS
Bunuel wrote:

In the triangle above, x and y are integers. If 35 < y < 40, what is one possible value of x?

(A) 95
(B) 100
(C) 105
(D) 110
(D) 115

[Reveal] Spoiler:
Attachment:
2017-09-01_1133.png

Hi Bunuel,

If the value of y is between 35 and 40, then neither of the answer options are possible
_________________

Stay hungry, Stay foolish

Math Expert
Joined: 02 Sep 2009
Posts: 44351
Re: In the triangle above, x and y are integers. If 30 < y < 40, what is [#permalink]

### Show Tags

01 Sep 2017, 02:21
Expert's post
1
This post was
BOOKMARKED
pushpitkc wrote:
Bunuel wrote:

In the triangle above, x and y are integers. If 35 < y < 40, what is one possible value of x?

(A) 95
(B) 100
(C) 105
(D) 110
(D) 115

[Reveal] Spoiler:
Attachment:
2017-09-01_1133.png

Hi Bunuel,

If the value of y is between 35 and 40, then neither of the answer options are possible

Yes. It should be "If 30 < y < 40". Edited. Thank you.
_________________
BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2280
Location: India
GPA: 3.12
Re: In the triangle above, x and y are integers. If 30 < y < 40, what is [#permalink]

### Show Tags

01 Sep 2017, 02:28
If the value is between 30 and 40, y could be 35.

Since, the sum of three angles in the triangle is 180,
and x + 2y = 180, the third angle can be 180 - (35*2) = 110(Option D)
_________________

Stay hungry, Stay foolish

Intern
Joined: 21 Dec 2016
Posts: 1
Re: In the triangle above, x and y are integers. If 30 < y < 40, what is [#permalink]

### Show Tags

01 Sep 2017, 03:37
The value will be between 35 and 40..and x + 2y =180
We get max value of y as 39 and minimum value as 36..so the equation will be as follows
x + 2 X 39= 180
Gives x= 102
Similarly
X + 2 X 36= 180
Gives x = 108
It implies
X will be between 102~108

Correct ans = 105
Option C

Sent from my iPhone using GMAT Club Forum
Intern
Joined: 12 Dec 2016
Posts: 8
Location: Russian Federation
GMAT 1: 660 Q49 V31
GPA: 3
In the triangle above, x and y are integers. If 30 < y < 40, what is [#permalink]

### Show Tags

01 Sep 2017, 11:03
The sum of angles of a triangle is 180, so x + 2y = 180
Then taking into account that y<40 we have x > 100 and we eliminate A and B

From the formula x + 2y = 180 we can have y = 90 - x/2
In the question it is mentioned that x is integer, so x must be even. So the answer is 110 (D)
VP
Joined: 22 May 2016
Posts: 1424
In the triangle above, x and y are integers. If 30 < y < 40, what is [#permalink]

### Show Tags

01 Sep 2017, 16:22
Bunuel wrote:

In the triangle above, x and y are integers. If 30 < y < 40, what is one possible value of x?

(A) 95
(B) 100
(C) 105
(D) 110
(D) 115

[Reveal] Spoiler:
Attachment:
2017-09-01_1133.png

Working from answer choices sometimes sparks the right thought.

Subtract the answer choice (x) from 180, and then divide by 2.

I didn't write all the algebra down but you could.*:

180 - 105 = 95, which, divided by 2, does not yield an integer, which y must be. All answers with odd numbers are out.

That leaves B and D. It takes seconds to calculate if you don't happen to see that if 2y cannot be greater than 80, x cannot be smaller than 100. B gives

2y = 80. y = 40. Not permissible.

By POE, if you're brave, choose D and move on. Or

Answer D) 110: (180 - 110) = 70, y = 35. Correct

*x + 2y = 180
2y = 180 - x
y = $$\frac{180 - x}{2}$$
_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2319
Location: United States (CA)
Re: In the triangle above, x and y are integers. If 30 < y < 40, what is [#permalink]

### Show Tags

07 Sep 2017, 07:12
Bunuel wrote:

In the triangle above, x and y are integers. If 30 < y < 40, what is one possible value of x?

(A) 95
(B) 100
(C) 105
(D) 110
(D) 115

[Reveal] Spoiler:
Attachment:
2017-09-01_1133.png

We see that x = 180 - 2y and y = (180 - x)/2.

Since 30 < y < 40, 60 < 2y < 80. Thus, the “minimum” value of x is 180 - 80 = 100 and the “maximum” value of x is 180 - 60 = 120. In other words, 100 < x < 120.

We see that three answer choices, C, D, and E, satisfy this inequality. However, let’s say x = 105; then y = (180 - 105)/2 = 75/2 = 37.5 would not be an integer. The same can be said when x = 115. In other words, if x is odd, then y will not be integer. Thus, x must be even. So x must be 110. In fact, when x = 110, y = (180 - 110)/2 = 70/2 = 35, which is an integer.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: In the triangle above, x and y are integers. If 30 < y < 40, what is   [#permalink] 07 Sep 2017, 07:12
Display posts from previous: Sort by