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

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

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

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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

Answer: C

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

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New post 20 Apr 2016, 21:03
Hi Bunuel ,
Is this really a GMAT PREP Question .
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Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

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New post 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
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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

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

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

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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.

Answer: C.

Hope it's clear.
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Re: Three points T, U and V on the number line have coordinates t, u, and [#permalink]

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New post 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).

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

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

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

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

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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

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

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New post 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.

Answer: C.

Hope it's clear.


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

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

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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.

Answer: C.

Hope it's clear.


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


Are you talking about t^2 < 4? What is your question?

t^2 < 4

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

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

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

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New post 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.

Answer: C.

Hope it's clear.


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


Are you talking about t^2 < 4? What is your question?

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.

So Answer C

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