Author
Message
TAGS:
Retired Moderator

Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL

Joined: 04 Oct 2009

Posts: 1733

Location: Peru

Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)

WE 1: Economic research

WE 2: Banking

WE 3: Government: Foreign Trade and SMEs

Followers: 60

Kudos [? ]:
207
[0 ] , given: 109

If y is greater than 110 percent of x, is y greater than 75? [#permalink ]
11 Sep 2010, 07:36

Question Stats:

49% (01:58) correct

50% (00:58) wrong

based on 91 sessions
If y is greater than 110 percent of x, is y greater than 75?

(1) x > 75

(2) y - x = 10

I think OA is incorrect, please your thoughts.

My arguments are in the next post.

_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can." My Integrated Reasoning Logbook / Diary: my-ir-logbook-diary-133264.html

Last edited by

Bunuel on 17 Sep 2013, 07:52, edited 1 time in total.

Edited the question.

Current Student

Status: What's your raashee?

Joined: 12 Jun 2009

Posts: 1847

Location: United States (NC)

Concentration: Strategy, Finance

Schools: UNC (Kenan-Flagler) - Class of 2013

GMAT 1 : 720 Q49 V39

WE: Programming (Computer Software)

Followers: 22

Kudos [? ]:
190
[1 ] , given: 52

Re: Inequalities question [#permalink ]
11 Sep 2010, 07:41
1

This post receivedKUDOS

metallicafan wrote:

I think OA is incorrect, please your thoughts. If y is greater than 110 percent of x, is y greater than 75? (1)x<75 (2) y - x = 10 My arguments are in the next post.

if

y > 1.1x is y>75 ?

a. x<75

so lets try x =1 which means y >1.1 which doesnt mean y > 75

no x = 74. 1.1* 74 = 81ish so y >75 -INSUFFF

b. y= 10+x we dont know x so no go INSUFF

C.

so y = 10+1 = 11 which means y<75.

y = 10 + 74 = 84 which means y>75 so INSUFF

E?

_________________

If you like my answers please +1 kudos!

Retired Moderator

Joined: 02 Sep 2010

Posts: 807

Location: London

Followers: 74

Kudos [? ]:
394
[1 ] , given: 25

Re: Inequalities question [#permalink ]
11 Sep 2010, 07:45
1

This post receivedKUDOS

A) Not suff x=74, x=2

B) Not suff x=50, x=90

A+B) Not suff x=74,y=84 & x=50,y=60

So answer is def (E)

OA is wrong

_________________

Math write-ups 1) Algebra-101 2) Sequences 3) Set combinatorics 4) 3-D geometry My GMAT story

Retired Moderator

Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL

Joined: 04 Oct 2009

Posts: 1733

Location: Peru

Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)

WE 1: Economic research

WE 2: Banking

WE 3: Government: Foreign Trade and SMEs

Followers: 60

Kudos [? ]:
207
[0 ] , given: 109

Re: Inequalities question [#permalink ]
11 Sep 2010, 07:47

For example, in the case of clue Nº 1 we can have two possible scenarios in which y is greater than 75 or less than 75.

Scenario 1: y> 75

For example, x = 70 and y = 78

The 110% of x is 77. So, we are Ok with the original condition (y > 110% of x).

Scenario 2: y<75

For example, x = 10 and y = 12

The 110% of y is 11. Also, we are ok with the original condition.

As you can see, only with clue nº 1, we cannot verify if y > 75.

That's why I think OA is wrong.

_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can." My Integrated Reasoning Logbook / Diary: my-ir-logbook-diary-133264.html

Retired Moderator

Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL

Joined: 04 Oct 2009

Posts: 1733

Location: Peru

Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)

WE 1: Economic research

WE 2: Banking

WE 3: Government: Foreign Trade and SMEs

Followers: 60

Kudos [? ]:
207
[0 ] , given: 109

Re: Inequalities question [#permalink ]
11 Sep 2010, 07:52

Yes, I also think the answer is E.

Thanks for the confirmation guys. Kudos for you!

I woke up happy today

_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can." My Integrated Reasoning Logbook / Diary: my-ir-logbook-diary-133264.html

Math Expert

Joined: 02 Sep 2009

Posts: 17318

Followers: 2876

Kudos [? ]:
18398
[1 ] , given: 2350

Re: Inequalities question [#permalink ]
11 Sep 2010, 08:06
1

This post receivedKUDOS

Intern

Joined: 27 Jul 2010

Posts: 20

Location: Bangalore

Followers: 0

Kudos [? ]:
2
[0 ] , given: 0

Re: Inequalities question [#permalink ]
14 Sep 2010, 20:05

Bunuel wrote:

metallicafan wrote:

I think OA is incorrect, please your thoughts. If y is greater than 110 percent of x, is y greater than 75? (1) x<75 (2) y - x = 10 My arguments are in the next post.

For A to be an answer statement (1) should be

x>75 (and I think this is the case as I've seen this question before).

Then we would have:

y>1.1x . Question: is

y>75 ? Or is

x\geq{\frac{75}{1.1}} (1)

x>75 . Sufficient.

(2)

y - x = 10 . Not sufficient as shown above.

Answer: A.

Hi,

The option is x<75 not x>75..

If x <75, x can be x<75/1.1 or 75/1.1 <x<75

So IMO, (1) is insufficient..

_________________

Nothing is free.. You 've to earn it!!!

Math Expert

Joined: 02 Sep 2009

Posts: 17318

Followers: 2876

Kudos [? ]:
18398
[0 ] , given: 2350

Re: Inequalities question [#permalink ]
14 Sep 2010, 20:17
BalakumaranP wrote:

Bunuel wrote:

metallicafan wrote:

I think OA is incorrect, please your thoughts. If y is greater than 110 percent of x, is y greater than 75? (1) x<75 (2) y - x = 10 My arguments are in the next post.

For A to be an answer statement (1) should be

x>75 (and I think this is the case as I've seen this question before).

Then we would have:

y>1.1x . Question: is

y>75 ? Or is

x\geq{\frac{75}{1.1}} (1)

x>75 . Sufficient.

(2)

y - x = 10 . Not sufficient as shown above.

Answer: A.

Hi,

The option is x<75 not x>75..

If x <75, x can be x<75/1.1 or 75/1.1 <x<75

So IMO, (1) is insufficient..

Please read my post.

OA was given to be A and I said: "

(A) to be an answer statement (1) should be x>75 , (and I think this is the case as I've seen this question before)".

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!! PLEASE READ AND FOLLOW: 11 Rules for Posting!!! RESOURCES: [GMAT MATH BOOK ]; 1. Triangles ; 2. Polygons ; 3. Coordinate Geometry ; 4. Factorials ; 5. Circles ; 6. Number Theory ; 7. Remainders ; 8. Overlapping Sets ; 9. PDF of Math Book ; 10. Remainders ; 11. GMAT Prep Software Analysis NEW!!! ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!! ; 12. Tricky questions from previous years. NEW!!! ;COLLECTION OF QUESTIONS: PS: 1. Tough and Tricky questions ; 2. Hard questions ; 3. Hard questions part 2 ; 4. Standard deviation ; 5. Tough Problem Solving Questions With Solutions ; 6. Probability and Combinations Questions With Solutions ; 7 Tough and tricky exponents and roots questions ; 8 12 Easy Pieces (or not?) ; 9 Bakers' Dozen ; 10 Algebra set. ,11 Mixed Questions , 12 Fresh Meat DS: 1. DS tough questions ; 2. DS tough questions part 2 ; 3. DS tough questions part 3 ; 4. DS Standard deviation ; 5. Inequalities ; 6. 700+ GMAT Data Sufficiency Questions With Explanations ; 7 Tough and tricky exponents and roots questions ; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!! ; 10 Number Properties set. , 11 New DS set. What are GMAT Club Tests ? 25 extra-hard Quant Tests

Manager

Joined: 04 Aug 2010

Posts: 158

Followers: 2

Kudos [? ]:
22
[0 ] , given: 15

Re: Inequalities question [#permalink ]
16 Sep 2010, 10:00

E it is. A is an obviously wrong answer. Source?

VP

Status: Current Student

Joined: 24 Aug 2010

Posts: 1347

Location: United States

GMAT 1 : 710 Q48 V40

WE: Sales (Consumer Products)

Followers: 90

Kudos [? ]:
394
[0 ] , given: 73

Re: Inequalities question [#permalink ]
16 Sep 2010, 19:05

It's E. I did the math out. Follow me with this one. Remember that the question stem simply says that y is GREATER than 110% of x (it's doesn't say how much greater than 110%)

1. x<75 - Insufficient. No matter what X is we don't know how much over 110% it is

2. y-x=10

y=x+10

If y is 120% of x ===> y= x+10=1.2x===>10=.2x===>x=50===>y=60, thus 60<75 (No)

If y is 111% of x ===> y= x+10=1.11x==>10=.11x==>x=90.9090...==>y=100.9090>75 (Yes)

Statement 2 is Insufficient

Now let's take S1 and S2 together:

If x=74, y=84 and is 113% of x and is greater than 75

If x=50, y=60 and is 120% of x and is less than 75

Statements 1 and 2 together are Insufficient

E

_________________

The Brain Dump - From Low GPA to Top MBA (Updated September 1, 2013) - A Few of My Favorite Things--> http://cheetarah1980.blogspot.com

Intern

Joined: 26 Feb 2011

Posts: 45

Followers: 1

Kudos [? ]:
1
[0 ] , given: 1

If y is greater ... [#permalink ]
28 Feb 2011, 01:37

If y is greater than 110 percent of x, is y greater than 75? 1) x>75 2) y - x = 10 Why (2) is not sufficient?

Manager

Joined: 14 Feb 2011

Posts: 199

Followers: 4

Kudos [? ]:
52
[0 ] , given: 3

Re: If y is greater ... [#permalink ]
28 Feb 2011, 01:45

We are given that y > 1.1x, we need to find if y>75 From 1, x > 75, so y > 82.5 and hence y>75, sufficient From 2 Y = x+10 or x + 10 > 1.1x or 10 > 0.1x or 100 > x, so x is less than 100. Now for x =10, y = 20 and it is less than 75, whereas for x = 80, y = 90 and it is greater than 75, so insufficient. Answer A

Last edited by

beyondgmatscore on 28 Feb 2011, 02:04, edited 1 time in total.

Math Expert

Joined: 02 Sep 2009

Posts: 17318

Followers: 2876

Kudos [? ]:
18398
[0 ] , given: 2350

Re: If y is greater ... [#permalink ]
28 Feb 2011, 01:59

Intern

Joined: 23 Jul 2013

Posts: 15

Followers: 0

Kudos [? ]:
0
[0 ] , given: 6

If y is greater than 110% of x, is y greater than 75? [#permalink ]
17 Sep 2013, 07:43

If y is greater than 110% of x, is y greater than 75? 1.) x > 75 2.) y-x = 10 So I think my issue is in substitution, which may be a more general problem. But here is how I tackled this problem. 1.) y > 1.1x so if you plug in x > 75 you will get that 1.1(75) > 75 so 1.) is sufficient. 2.) arrange so -x = 10-y. Divide by - and get x = -10 + y. substitute x into y > 1.1x and get y > 1.1(-10+y) y > -11 + 1.1y -.1y > -11 y < 110 Does that mean Y could be less or more than 75 as long as it is less than 110, so it is insufficient. Is that substitution even legal? A.? Thanks!

Math Expert

Joined: 02 Sep 2009

Posts: 17318

Followers: 2876

Kudos [? ]:
18398
[0 ] , given: 2350

Re: If y is greater than 110% of x, is y greater than 75? [#permalink ]
17 Sep 2013, 07:52
TheLostOne wrote:

If y is greater than 110% of x, is y greater than 75? 1.) x > 75 2.) y-x = 10 So I think my issue is in substitution, which may be a more general problem. But here is how I tackled this problem. 1.) y > 1.1x so if you plug in x > 75 you will get that 1.1(75) > 75 so 1.) is sufficient. 2.) arrange so -x = 10-y. Divide by - and get x = -10 + y. substitute x into y > 1.1x and get y > 1.1(-10+y) y > -11 + 1.1y -.1y > -11 y < 110 Does that mean Y could be less or more than 75 as long as it is less than 110, so it is insufficient. Is that substitution even legal? A.? Thanks!

Merging similar topics. Please refer to the solutions above.

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!! PLEASE READ AND FOLLOW: 11 Rules for Posting!!! RESOURCES: [GMAT MATH BOOK ]; 1. Triangles ; 2. Polygons ; 3. Coordinate Geometry ; 4. Factorials ; 5. Circles ; 6. Number Theory ; 7. Remainders ; 8. Overlapping Sets ; 9. PDF of Math Book ; 10. Remainders ; 11. GMAT Prep Software Analysis NEW!!! ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!! ; 12. Tricky questions from previous years. NEW!!! ;COLLECTION OF QUESTIONS: PS: 1. Tough and Tricky questions ; 2. Hard questions ; 3. Hard questions part 2 ; 4. Standard deviation ; 5. Tough Problem Solving Questions With Solutions ; 6. Probability and Combinations Questions With Solutions ; 7 Tough and tricky exponents and roots questions ; 8 12 Easy Pieces (or not?) ; 9 Bakers' Dozen ; 10 Algebra set. ,11 Mixed Questions , 12 Fresh Meat DS: 1. DS tough questions ; 2. DS tough questions part 2 ; 3. DS tough questions part 3 ; 4. DS Standard deviation ; 5. Inequalities ; 6. 700+ GMAT Data Sufficiency Questions With Explanations ; 7 Tough and tricky exponents and roots questions ; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!! ; 10 Number Properties set. , 11 New DS set. What are GMAT Club Tests ? 25 extra-hard Quant Tests

Re: If y is greater than 110% of x, is y greater than 75?
[#permalink ]
17 Sep 2013, 07:52

Similar topics
Author
Replies
Last post
Similar Topics:

1
If Y is greater than 110 percentage of X, is Y > 75 i) X
old_dream_1976
5
20 Feb 2006, 19:07
If y is greater than 110 percent of x, is y greater than 75
asaf
5
23 Dec 2006, 10:01
If y si greater than 110 % of x, is y greater than 75? A x
alimad
7
03 May 2008, 10:22
If y is greater than 110% of x, is y greater than 75?
TheLostOne
0
17 Sep 2013, 07:43
2
If y is greater than 110 percent of x, is y greater than 75
Bunuel
4
17 Jan 2014, 01:29