GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Aug 2018, 23:04

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Is y between 1 and 2, exclusive?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
Joined: 15 Dec 2015
Posts: 34
Is y between 1 and 2, exclusive?  [#permalink]

Show Tags

New post 25 Dec 2015, 19:32
4
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

56% (01:13) correct 44% (02:04) wrong based on 73 sessions

HideShow timer Statistics

Is y between 1 and 2, exclusive?

(1) y^2 is less than y

(2) y^2 + y is between 1 and 2, exclusive


Sent from my iPhone using Tapatalk
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6564
Re: Is y between 1 and 2, exclusive?  [#permalink]

Show Tags

New post 25 Dec 2015, 20:11
sara86 wrote:
Is y between 1 and 2, exclusive?

(1) y^2 is less than y

(2) y^2 + y is between 1 and 2, exclusive


Sent from my iPhone using Tapatalk


Hi,

(1) y^2 is less than y
since y^2 is less than y, we can say that y is positive..
Also any value above 1, will have a square more than number ... so y has to be between 0 and 1.... suff

(2) y^2 + y is between 1 and 2, exclusive..
any number more than 1 will have its square more than 1..
so when we add square of the number and the number itself (y^2 + y), it will always be more than 2..
so the answer to Q is NO.... suff
ans D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
Joined: 15 Dec 2015
Posts: 34
Re: Is y between 1 and 2, exclusive?  [#permalink]

Show Tags

New post 25 Dec 2015, 20:20
But statement (2) explicitly states the condition that (y^2 + y) is within the range 1 and 2, exclusive...

So how did statement (2) disprove the range given in the question ?


Sent from my iPhone using Tapatalk
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6564
Re: Is y between 1 and 2, exclusive?  [#permalink]

Show Tags

New post 25 Dec 2015, 20:29
sara86 wrote:
But statement (2) explicitly states the condition that (y^2 + y) is within the range 1 and 2, exclusive...

So how did statement (2) disprove the range given in the question ?


Sent from my iPhone using Tapatalk


Hi,
Any number above 1 will have the value y^2 + y more than 2...
this means if it is given as y^2+y lies between 1 and 2, y cannot be greater than 1..
this gives us an answer to the statement Is y between 1 and 2, exclusive as NO..
this makes 2 alone also suff..
As a matter of fact if it is given as y^2+y lies between 1 and 2, y will be between 0 and 1..
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
Joined: 15 Dec 2015
Posts: 34
Re: Is y between 1 and 2, exclusive?  [#permalink]

Show Tags

New post 25 Dec 2015, 20:41
Oh okay, now I get it , the question got my mind twisted, lol!

Thnx anyway!


Sent from my iPhone using Tapatalk
Director
Director
User avatar
P
Joined: 27 May 2012
Posts: 536
Premium Member
Re: Is y between 1 and 2, exclusive?  [#permalink]

Show Tags

New post 19 Jul 2018, 06:43
sara86 wrote:
Is y between 1 and 2, exclusive?

(1) y^2 is less than y

(2) y^2 + y is between 1 and 2, exclusive


Sent from my iPhone using Tapatalk



Although the answer is D . but both the statements are giving different values of y.
This will not happen in the GMAT.

Here for statement 1 : y is between 0 and 1
For statement 2: Y is NOT between 0 and 1 . Check by putting y = 1/2 in statement 2 and we will see that y^2 + y is 3/4 hence y is not between 1 and 2 .

In fact can anybody give me the the range of values of Y for which statement 2 is satisfied ? Thanks .
_________________

- Stne

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6564
Is y between 1 and 2, exclusive?  [#permalink]

Show Tags

New post 19 Jul 2018, 06:54
stne wrote:
sara86 wrote:
Is y between 1 and 2, exclusive?

(1) y^2 is less than y

(2) y^2 + y is between 1 and 2, exclusive


Sent from my iPhone using Tapatalk



Although the answer is D . but both the statements are giving different values of y.
This will not happen in the GMAT.

Here for statement 1 : y is between 0 and 1
For statement 2: Y is NOT between 0 and 1 . Check by putting y = 1/2 in statement 2 and we will see that y^2 + y is 3/4 hence y is not between 1 and 2 .

In fact can anybody give me the the range of values of Y for which statement 2 is satisfied ? Thanks .



\(y^2+y>1.......y(y+1)>1.......y>0..or..y<-1\)..
\(y^2+y<2.......y(y+1)<2........y<1...or....y<-2\)..
So range is 0<y<1 and y<-2
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Director
Director
User avatar
P
Joined: 27 May 2012
Posts: 536
Premium Member
Re: Is y between 1 and 2, exclusive?  [#permalink]

Show Tags

New post 19 Jul 2018, 07:26
chetan2u wrote:
stne wrote:
sara86 wrote:
Is y between 1 and 2, exclusive?

(1) y^2 is less than y

(2) y^2 + y is between 1 and 2, exclusive


Sent from my iPhone using Tapatalk



Although the answer is D . but both the statements are giving different values of y.
This will not happen in the GMAT.

Here for statement 1 : y is between 0 and 1
For statement 2: Y is NOT between 0 and 1 . Check by putting y = 1/2 in statement 2 and we will see that y^2 + y is 3/4 hence y is not between 1 and 2 .

In fact can anybody give me the the range of values of Y for which statement 2 is satisfied ? Thanks .



\(y^2+y>1.......y(y+1)>1.......y>0..or..y<-1\)..
\(y^2+y<2.......y(y+1)<2........y<1...or....y<-2\)..
So range is 0<y<1 and y<-2



Thank you for your reply , if range is between 0 and 1( for statement 2) then when I put y = 1/2 in statement 2 , why don't I get y^2 + y is between 1 and 2 ? rather y^2 +y = 3/4 which is less than 1.
_________________

- Stne

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6564
Re: Is y between 1 and 2, exclusive?  [#permalink]

Show Tags

New post 19 Jul 2018, 07:41
1
stne wrote:
chetan2u wrote:
stne wrote:


Although the answer is D . but both the statements are giving different values of y.
This will not happen in the GMAT.

Here for statement 1 : y is between 0 and 1
For statement 2: Y is NOT between 0 and 1 . Check by putting y = 1/2 in statement 2 and we will see that y^2 + y is 3/4 hence y is not between 1 and 2 .

In fact can anybody give me the the range of values of Y for which statement 2 is satisfied ? Thanks .



\(y^2+y>1.......y(y+1)>1.......y>0..or..y<-1\)..
\(y^2+y<2.......y(y+1)<2........y<1...or....y<-2\)..
So range is 0<y<1 and y<-2



Thank you for your reply , if range is between 0 and 1( for statement 2) then when I put y = 1/2 in statement 2 , why don't I get y^2 + y is between 1 and 2 ? rather y^2 +y = 3/4 which is less than 1.


Hi...
I didnt get into exact calculation..

so \(y^2+y-1>0\)... let it be =0 then roots are \(\frac{-b+\sqrt{b^2-4ac}}{2}.......\frac{-1+\sqrt{5}}{2}=\frac{-1+2.236}{2}=1.236/2=0.618\)
so 0.618<y<1
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Director
Director
User avatar
P
Joined: 27 May 2012
Posts: 536
Premium Member
Re: Is y between 1 and 2, exclusive?  [#permalink]

Show Tags

New post 19 Jul 2018, 08:03
Thank you again, shouldn't both the statements give the same range of Y, isn't there a contradiction , among the statements. Especially since the answer is D.

For statement 1 : 0 < Y<1
For statement 2 : 0.618<y<1
_________________

- Stne

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6564
Re: Is y between 1 and 2, exclusive?  [#permalink]

Show Tags

New post 19 Jul 2018, 08:13
stne wrote:
Thank you again, shouldn't both the statements give the same range of Y, isn't there a contradiction , among the statements. Especially since the answer is D.

For statement 1 : 0 < Y<1
For statement 2 : 0.618<y<1



It's Correct because the range 0.618<y<1 is subset of the range 0<y<1...
If we were to find the range then it will be 0.618 to 1..

What could be wrong is..
If we had 0<y<1 and second statement gave y>2
Here although Ans would be D, but question will be flawed as it gave two different ranges
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Director
Director
User avatar
P
Joined: 27 May 2012
Posts: 536
Premium Member
Re: Is y between 1 and 2, exclusive?  [#permalink]

Show Tags

New post 19 Jul 2018, 09:29
chetan2u wrote:
stne wrote:
Thank you again, shouldn't both the statements give the same range of Y, isn't there a contradiction , among the statements. Especially since the answer is D.

For statement 1 : 0 < Y<1
For statement 2 : 0.618<y<1



It's Correct because the range 0.618<y<1 is subset of the range 0<y<1...
If we were to find the range then it will be 0.618 to 1..

What could be wrong is..
If we had 0<y<1 and second statement gave y>2
Here although Ans would be D, but question will be flawed as it gave two different ranges


Thank you, Got it.
_________________

- Stne

Re: Is y between 1 and 2, exclusive? &nbs [#permalink] 19 Jul 2018, 09:29
Display posts from previous: Sort by

Is y between 1 and 2, exclusive?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


cron

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.