Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 22 Aug 2014
Posts: 15
Location: United States
Concentration: Human Resources, General Management
GPA: 3.97
WE: Information Technology (Insurance)

If t and x are integers, what is the value of x? [#permalink]
Show Tags
Updated on: 18 Apr 2017, 07:32
4
This post received KUDOS
26
This post was BOOKMARKED
Question Stats:
54% (00:32) correct 46% (00:20) wrong based on 566 sessions
HideShow timer Statistics
If t and x are integers, what is the value of x? (1) \(\frac{x^2}{t^2}\) = \(\frac{4}{9}\) (2) x>0 and t>0
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by surupab on 07 Apr 2016, 10:04.
Last edited by Bunuel on 18 Apr 2017, 07:32, edited 3 times in total.
Formatting



Math Expert
Joined: 02 Sep 2009
Posts: 45323

If t and x are integers, what is the value of x? [#permalink]
Show Tags
07 Apr 2016, 10:14
10
This post received KUDOS
Expert's post
14
This post was BOOKMARKED



Intern
Joined: 22 Aug 2014
Posts: 15
Location: United States
Concentration: Human Resources, General Management
GPA: 3.97
WE: Information Technology (Insurance)

Re: If t and x are integers, what is the value of x? [#permalink]
Show Tags
07 Apr 2016, 10:33
Bunuel wrote: If t and x are integers, what is the value of x?
(1) x^2/t^2 = 4/9 > take the square root: \(\frac{x}{t}=\frac{2}{3}\) > x is a multiple of 2 and y is a multiple of 3. Not sufficient.
(2) x>0 and t>0. Clearly not sufficient.
(1)+(2) Since from (2) both x and t are positive then from (1) \(\frac{x}{t}=\frac{2}{3}\): x is a positive multiple of 2 and y is a positive multiple of 3. Not sufficient.
Answer: E.
Hope it's clear. Thanks. Great explanation.



Intern
Joined: 29 Mar 2015
Posts: 12
Concentration: Marketing, International Business

Re: If t and x are integers, what is the value of x? [#permalink]
Show Tags
15 Apr 2016, 02:30
Hi Bunuel, Could you please tell that how x and t will be multiple of 2 and 3. If x^2 = 4 then x can be +2 whereas y^2 =+3 I am not able to figure out how x will be multiple 2. Pls help Bunuel wrote: If t and x are integers, what is the value of x?
(1) x^2/t^2 = 4/9 > take the square root: \(\frac{x}{t}=\frac{2}{3}\) > x is a multiple of 2 and y is a multiple of 3. Not sufficient.
(2) x>0 and t>0. Clearly not sufficient.
(1)+(2) Since from (2) both x and t are positive then from (1) \(\frac{x}{t}=\frac{2}{3}\): x is a positive multiple of 2 and y is a positive multiple of 3. Not sufficient.
Answer: E.
Hope it's clear.



Math Expert
Joined: 02 Sep 2009
Posts: 45323

Re: If t and x are integers, what is the value of x? [#permalink]
Show Tags
15 Apr 2016, 02:43
prateek720 wrote: Hi Bunuel, Could you please tell that how x and t will be multiple of 2 and 3. If x^2 = 4 then x can be +2 whereas y^2 =+3 I am not able to figure out how x will be multiple 2. Pls help Bunuel wrote: If t and x are integers, what is the value of x?
(1) x^2/t^2 = 4/9 > take the square root: \(\frac{x}{t}=\frac{2}{3}\) > x is a multiple of 2 and y is a multiple of 3. Not sufficient.
(2) x>0 and t>0. Clearly not sufficient.
(1)+(2) Since from (2) both x and t are positive then from (1) \(\frac{x}{t}=\frac{2}{3}\): x is a positive multiple of 2 and y is a positive multiple of 3. Not sufficient.
Answer: E.
Hope it's clear. From \(\frac{x}{t}=\frac{2}{3}\) we can have x=+/2 and y=+/3, OR x=+/4 and y=+/6, OR x=+/6 and y=+/9, ...
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 29 Mar 2015
Posts: 12
Concentration: Marketing, International Business

Re: If t and x are integers, what is the value of x? [#permalink]
Show Tags
15 Apr 2016, 02:57
2
This post received KUDOS
1
This post was BOOKMARKED
Thank you for your help and quick response. I deleted my post as I did figure out about the multiples before your reply. X and t are in ratio rather than values. This is the mistake I made. Thank you Bunuel wrote: prateek720 wrote: Hi Bunuel, Could you please tell that how x and t will be multiple of 2 and 3. If x^2 = 4 then x can be +2 whereas y^2 =+3 I am not able to figure out how x will be multiple 2. Pls help Bunuel wrote: If t and x are integers, what is the value of x?
(1) x^2/t^2 = 4/9 > take the square root: \(\frac{x}{t}=\frac{2}{3}\) > x is a multiple of 2 and y is a multiple of 3. Not sufficient.
(2) x>0 and t>0. Clearly not sufficient.
(1)+(2) Since from (2) both x and t are positive then from (1) \(\frac{x}{t}=\frac{2}{3}\): x is a positive multiple of 2 and y is a positive multiple of 3. Not sufficient.
Answer: E.
Hope it's clear. From \(\frac{x}{t}=\frac{2}{3}\) we can have x=+/2 and y=+/3, OR x=+/4 and y=+/6, OR x=+/6 and y=+/9, ...



SVP
Joined: 06 Nov 2014
Posts: 1888

Re: If t and x are integers, what is the value of x? [#permalink]
Show Tags
16 May 2016, 00:06
TurgCorp wrote: If t and x are integers, what is the value of x?
(1) \(\frac{x^2}{t^2} = \frac{4}{9}\) (2) x>0 and t>0 Statement 1: [m]\frac{x^2}{t^2} = \frac{4}{9} Hence x/t = 2/3 or 2/3 We cannot deduce the value of x. INSUFFICIENT Statement 2: x>0 and t>0 clearly INSUFFICIENT Combining both statements: We know that x/t = 2/3 Still we cannot find the value of x. INSUFFICIENT Correct Option: E



Intern
Joined: 22 Mar 2017
Posts: 17

Re: If t and x are integers, what is the value of x? [#permalink]
Show Tags
12 Jun 2017, 11:42
Is X not equal to 2 because it is in the fraction 2/3? I'm having a hard time wrapping my head around why x does not equal 2 and y does not equal 3.



Math Expert
Joined: 02 Sep 2009
Posts: 45323

Re: If t and x are integers, what is the value of x? [#permalink]
Show Tags
12 Jun 2017, 13:39



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2442

Re: If t and x are integers, what is the value of x? [#permalink]
Show Tags
14 Dec 2017, 17:56
surupab wrote: If t and x are integers, what is the value of x?
(1) \(\frac{x^2}{t^2}\) = \(\frac{4}{9}\)
(2) x>0 and t>0 We are given that t and x are integers and need to determine the value of x. Statement One Alone: (x^2)/(t^2) = 4/9 Taking the square root of both sides of the equation, we have: x/t = 2/3 Cross multiplying, we have: 3x = 2t We see that we do not have enough information to determine x. Statement one alone is not sufficient to answer the question. Statement Two Alone: x>0 and t>0 Since the information in statement two does not provide any information regarding the value of x, statement two is not sufficient to answer the question. Statements One and Two Together: Using the information in statements one and two, we do not have enough information to answer the question. For example, x = 2 and t = 3, or x = 4 and t = 6. Answer: E
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5437
GPA: 3.82

Re: If t and x are integers, what is the value of x? [#permalink]
Show Tags
17 Dec 2017, 00:26
surupab wrote: If t and x are integers, what is the value of x?
(1) \(\frac{x^2}{t^2}\) = \(\frac{4}{9}\)
(2) x>0 and t>0 Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we have 2 variables (t and x) and 0 equations, C is most likely to be the answer and so we should consider 1) & 2) first. Conditions 1) and 2): We have a bunch of cases satisfying both conditions together. x = 2, t = 3 x = 4, t = 6 Thus both conditions together are not sufficient. Therefore, E is the answer. Normally, in problems which require 2 or more additional equations, such as those in which the original conditions include 2 variables, or 3 variables and 1 equation, or 4 variables and 2 equations, each of conditions 1) and 2) provide an additional equation. In these problems, the two key possibilities are that C is the answer (with probability 70%), and E is the answer (with probability 25%). Thus, there is only a 5% chance that A, B or D is the answer. This occurs in common mistake types 3 and 4. Since C (both conditions together are sufficient) is the most likely answer, we save time by first checking whether conditions 1) and 2) are sufficient, when taken together. Obviously, there may be cases in which the answer is A, B, D or E, but if conditions 1) and 2) are NOT sufficient when taken together, the answer must be E.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $79 for 3 month Online Course" "Free Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Intern
Joined: 16 Oct 2017
Posts: 37

Re: If t and x are integers, what is the value of x? [#permalink]
Show Tags
12 Feb 2018, 20:32
During the GMATPREP practice exam, I thought this problem was easy and chose "C", thinking the answer is x = 2.
How am I supposed to tell that we're looking for multiples? Where does it hint that?



Math Expert
Joined: 02 Sep 2009
Posts: 45323

Re: If t and x are integers, what is the value of x? [#permalink]
Show Tags
12 Feb 2018, 21:15




Re: If t and x are integers, what is the value of x?
[#permalink]
12 Feb 2018, 21:15






