It is currently 23 Oct 2017, 19:47

### 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

# Three points T, U and V on the number line have coordinates t, u, and

Author Message
TAGS:

### Hide Tags

Intern
Joined: 23 Sep 2015
Posts: 14

Kudos [?]: 16 [0], given: 1

Location: United States
Concentration: Healthcare, General Management
GMAT 1: 740 Q50 V40
GPA: 3.34
WE: Operations (Health Care)
Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

20 Apr 2016, 16:32
16
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

72% (00:45) correct 28% (00:54) wrong based on 396 sessions

### HideShow timer Statistics

Three points T, U and V on the number line have coordinates t, u, and v respectively. Is T between points U and V?

(1) $$t^2<4<u^2<v^2$$
(2) u<0<v
[Reveal] Spoiler: OA

Kudos [?]: 16 [0], given: 1

Math Forum Moderator
Joined: 13 Apr 2015
Posts: 1504

Kudos [?]: 1120 [8], given: 885

Location: India
Concentration: Strategy, General Management
WE: Information Technology (Consulting)
Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

20 Apr 2016, 19:20
8
KUDOS
1
This post was
BOOKMARKED
St1: t^2 can take values between 0 and 4 --> -2 < t < 2
When u and v have the same sign: v > u > 2 or v < u < -2 --> t does not lie between u and v
When u and v have oppositie sign: u > 2 and v < -u < -2 or u < -2 and v > -u > 2 --> t lies between u and v

Illustrating the above statements:
When t = 1; u = 3; v = 4, t does not lie between u and v
When t = 1; u = -3; v = 4, t lies between u and v
Not Sufficient.

St2: u is -ve and v is positive --> Clearly insufficient as we have no information about t

Combining St1 and St2:
-2 < t < 2;
u is negative --> u < -2
v is positive --> v > -u > 2
As shown in St1, when u and v have opposite signs, t lies between u and v.
Sufficient

Kudos [?]: 1120 [8], given: 885

Manager
Joined: 13 Mar 2013
Posts: 178

Kudos [?]: 75 [0], given: 25

Location: United States
GPA: 3.5
WE: Engineering (Telecommunications)
Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

20 Apr 2016, 21:03
Hi Bunuel ,
Is this really a GMAT PREP Question .
_________________

Regards ,

Kudos [?]: 75 [0], given: 25

Math Forum Moderator
Joined: 02 Aug 2009
Posts: 4996

Kudos [?]: 5536 [0], given: 112

Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

20 Apr 2016, 21:37
abhisheknandy08 wrote:
Hi Bunuel ,
Is this really a GMAT PREP Question .

Hi,
the Q is a bit twisted but tests number properties..
and since it has been shown that the source is GMAT PREP EP2, we should be ready for such Qs
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5536 [0], given: 112

Status: It`s Just a pirates life !
Joined: 21 Mar 2014
Posts: 235

Kudos [?]: 16 [0], given: 246

Location: India
Concentration: Strategy, Operations
GMAT 1: 690 Q48 V36
GPA: 4
WE: Consulting (Manufacturing)
Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

20 Apr 2016, 21:44
chetan2u wrote:
abhisheknandy08 wrote:
Hi Bunuel ,
Is this really a GMAT PREP Question .

Hi,
the Q is a bit twisted but tests number properties..
and since it has been shown that the source is GMAT PREP EP2, we should be ready for such Qs

Absolutely sir..i think it should be 700 Q---wrongly tagged i believe.
_________________

Aiming for a 3 digit number with 7 as hundredths Digit

Kudos [?]: 16 [0], given: 246

Math Expert
Joined: 02 Sep 2009
Posts: 41913

Kudos [?]: 129537 [2], given: 12201

Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

20 Apr 2016, 23:51
2
KUDOS
Expert's post
11
This post was
BOOKMARKED
Three points T, U and V on the number line have coordinates t, u, and v respectively. Is T between points U and V?

(1) $$t^2<4<u^2<v^2$$. Since all parts of the inequality are non-negative, we can safely take the square root from it: $$|t| < 2 < |u| < |v|$$. It's possible that T is between U and V, for example, if t=0, u=-3 and v=4, as well as it's possible that it's not, for example, t=0, u=3 and v=4. Not sufficient.

(2) u<0<v. Clearly insufficient.

(1) Since from (2) u<0<v, then from (1) we get $$|t| < 2 < -u < v$$. If break it: we'll get $$u<-2$$ (from 2 < -u), $$-2<t<2$$ (from |t| < 2), and $$2<v$$. T is between U and V. Sufficient.

Hope it's clear.
_________________

Kudos [?]: 129537 [2], given: 12201

Intern
Joined: 23 Sep 2015
Posts: 14

Kudos [?]: 16 [0], given: 1

Location: United States
Concentration: Healthcare, General Management
GMAT 1: 740 Q50 V40
GPA: 3.34
WE: Operations (Health Care)
Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

21 Apr 2016, 06:19
abhisheknandy08 wrote:
Hi Bunuel ,
Is this really a GMAT PREP Question .

Yes, it is from EP 2 (the newly launched EP).

Sent from my SM-G900T using Tapatalk

Kudos [?]: 16 [0], given: 1

Intern
Joined: 23 Sep 2015
Posts: 14

Kudos [?]: 16 [0], given: 1

Location: United States
Concentration: Healthcare, General Management
GMAT 1: 740 Q50 V40
GPA: 3.34
WE: Operations (Health Care)
Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

21 Apr 2016, 06:20
If everyone thinks it is 700 level, I will change the tag.

Sent from my SM-G900T using Tapatalk

Kudos [?]: 16 [0], given: 1

Math Expert
Joined: 02 Sep 2009
Posts: 41913

Kudos [?]: 129537 [0], given: 12201

Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

21 Apr 2016, 06:24
mbaspire wrote:
If everyone thinks it is 700 level, I will change the tag.

Sent from my SM-G900T using Tapatalk

No need. the difficulty level is adjusted automatically based on stats from timer.
_________________

Kudos [?]: 129537 [0], given: 12201

Intern
Joined: 22 Feb 2016
Posts: 2

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

Schools: McCombs '18
Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

31 Jul 2016, 15:15
1
KUDOS
Tip: I found drawing the number line here instead of trying to write out inequalities got to the correct answer much quicker. ~20-30 seconds

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

Intern
Joined: 01 Nov 2016
Posts: 2

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

Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

01 Jun 2017, 04:24
Bunuel wrote:
Three points T, U and V on the number line have coordinates t, u, and v respectively. Is T between points U and V?

(1) $$t^2<4<u^2<v^2$$. Since all parts of the inequality are non-negative, we can safely take the square root from it: $$|t| < 2 < |u| < |v|$$. It's possible that T is between U and V, for example, if t=0, u=-3 and v=4, as well as it's possible that it's not, for example, t=0, u=3 and v=4. Not sufficient.

(2) u<0<v. Clearly insufficient.

(1) Since from (2) u<0<v, then from (1) we get $$|t| < 2 < -u < v$$. If break it: we'll get $$u<-2$$ (from 2 < -u), $$-2<t<2$$ (from |t| < 2), and $$2<v$$. T is between U and V. Sufficient.

Hope it's clear.

When you take the sq rt of 4 in this, shouldn't the result be +/- 2?

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

Math Expert
Joined: 02 Sep 2009
Posts: 41913

Kudos [?]: 129537 [0], given: 12201

Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

01 Jun 2017, 06:24
Expert's post
2
This post was
BOOKMARKED
ailintan wrote:
Bunuel wrote:
Three points T, U and V on the number line have coordinates t, u, and v respectively. Is T between points U and V?

(1) $$t^2<4<u^2<v^2$$. Since all parts of the inequality are non-negative, we can safely take the square root from it: $$|t| < 2 < |u| < |v|$$. It's possible that T is between U and V, for example, if t=0, u=-3 and v=4, as well as it's possible that it's not, for example, t=0, u=3 and v=4. Not sufficient.

(2) u<0<v. Clearly insufficient.

(1) Since from (2) u<0<v, then from (1) we get $$|t| < 2 < -u < v$$. If break it: we'll get $$u<-2$$ (from 2 < -u), $$-2<t<2$$ (from |t| < 2), and $$2<v$$. T is between U and V. Sufficient.

Hope it's clear.

When you take the sq rt of 4 in this, shouldn't the result be +/- 2?

t^2 < 4

|t| < 2 (which is the same as -2 < t < 2).
_________________

Kudos [?]: 129537 [0], given: 12201

Manager
Joined: 22 May 2017
Posts: 72

Kudos [?]: 5 [0], given: 172

GMAT 1: 580 Q41 V29
GMAT 2: 580 Q43 V27
Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

### Show Tags

10 Aug 2017, 00:14
Bunuel wrote:
ailintan wrote:
Bunuel wrote:
Three points T, U and V on the number line have coordinates t, u, and v respectively. Is T between points U and V?

(1) $$t^2<4<u^2<v^2$$. Since all parts of the inequality are non-negative, we can safely take the square root from it: $$|t| < 2 < |u| < |v|$$. It's possible that T is between U and V, for example, if t=0, u=-3 and v=4, as well as it's possible that it's not, for example, t=0, u=3 and v=4. Not sufficient.

(2) u<0<v. Clearly insufficient.

(1) Since from (2) u<0<v, then from (1) we get $$|t| < 2 < -u < v$$. If break it: we'll get $$u<-2$$ (from 2 < -u), $$-2<t<2$$ (from |t| < 2), and $$2<v$$. T is between U and V. Sufficient.

Hope it's clear.

When you take the sq rt of 4 in this, shouldn't the result be +/- 2?

t^2 < 4

|t| < 2 (which is the same as -2 < t < 2).

Yeah, It is a medium level question. I bit of guess/application work is needed to solve this question. Mentioned question can be solved only if we were given both information A and B.

Kudos [?]: 5 [0], given: 172

Re: Three points T, U and V on the number line have coordinates t, u, and   [#permalink] 10 Aug 2017, 00:14
Display posts from previous: Sort by

# Three points T, U and V on the number line have coordinates t, u, and

 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®.