Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 08 May 2015
Posts: 86
GMAT 1: 630 Q39 V38 GMAT 2: 670 Q44 V38 GMAT 3: 750 Q49 V44

If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
Updated on: 08 Nov 2015, 07:35
Question Stats:
48% (02:02) correct 52% (02:00) wrong based on 464 sessions
HideShow timer Statistics
If z is an odd integer, is 300z > 1500? (1) \(0<\sqrt{z}<8\) (2) \(1<z^2<45\)
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by Mascarfi on 07 Nov 2015, 15:36.
Last edited by Bunuel on 08 Nov 2015, 07:35, edited 2 times in total.
Edited the question.



CEO
Joined: 20 Mar 2014
Posts: 2542
Concentration: Finance, Strategy
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
07 Nov 2015, 16:02
Mascarfi wrote: If z is an odd integer, is 300z>1500?
Statement 1, 0<\(\sqrt{z}\)<8 Statement 2, 1<\(z^2\)<45 Z= odd integer, is 300z>1500 > z>5 ? Statement 1, \(0 < \sqrt{z} < 8\) > 1<z<64 so if z=3 or 5, answer is "no" but if z=7,9,11... the answer is "yes". Statement is not sufficient. Statement 2, \(1<z^2<45\) > only possible values are z=3 or 5, giving you a "no" . Sufficient. B is the correct answer.



Manager
Joined: 09 Nov 2014
Posts: 52
Concentration: Finance

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
08 Nov 2015, 04:32
300z>1500 is just z>5
Using statement 1, we know that Z is the square of either 1, 3, 5, or 7. Meaning Z can be 1, 9, 25, or 49. Since 1<5 while all the others are >5, INSUFFICIENT.
Using statement 2, we know that Z is the square root of either 9 or 25. Z can then be positive or negative 3 or 5. No matter what the sign, all values of Z are not greater than 5, SUFFICIENT



Director
Joined: 23 Jan 2013
Posts: 514

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
12 Nov 2015, 03:19
z>5? Yes/No
St1. 0<z<64, can be Y&N. INSUFF
St2. 1<z<3*sqrt5 OR 1>z>3*sqrt5. In both case z=<5. SUFF
B



Intern
Joined: 09 Apr 2016
Posts: 31

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
09 Dec 2016, 07:38
Mascarfi wrote: If z is an odd integer, is 300z > 1500?
(1) \(0<\sqrt{z}<8\) (2) \(1<z^2<45\) Please correct if wrong!! z > 5? 1) 0 < z < 64 > not clear weather z is bigger than 5. #insufficient 2) 1 < z < 6.7 > possible number 5 and 3, which means that z is not > 5! #sufficient B)



Manager
Joined: 11 Feb 2017
Posts: 179

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
08 Apr 2017, 07:01
AK125 wrote: Mascarfi wrote: If z is an odd integer, is 300z > 1500?
(1) \(0<\sqrt{z}<8\) (2) \(1<z^2<45\) Please correct if wrong!! z > 5? 1) 0 < z < 64 > not clear weather z is bigger than 5. #insufficient 2) 1 < z < 6.7 > possible number 5 and 3, which means that z is not > 5! #sufficient B) Why don't we consider z= 3? the square of 3 will be 3 and its an odd number also (i.e 3)



Math Expert
Joined: 02 Sep 2009
Posts: 61189

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
01 Jun 2017, 09:16
rocko911 wrote: AK125 wrote: Mascarfi wrote: If z is an odd integer, is 300z > 1500?
(1) \(0<\sqrt{z}<8\) (2) \(1<z^2<45\) Please correct if wrong!! z > 5? 1) 0 < z < 64 > not clear weather z is bigger than 5. #insufficient 2) 1 < z < 6.7 > possible number 5 and 3, which means that z is not > 5! #sufficient B) Why don't we consider z= 3? the square of 3 will be 3 and its an odd number also (i.e 3) The question asks whether z > 5? From (2) \(1<z^2<45\) (and the fact that we know that z is odd) it follow that z can be 5, 3, 3, and 5. For each of these values we have a NO answer to the question: z is NOT greater than 5. Sufficient. Hope it's clear.
_________________



Intern
Joined: 25 Jan 2016
Posts: 21
Location: India
GPA: 3.5
WE: Engineering (Energy and Utilities)

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
04 Jun 2017, 07:51
z is an odd integer  but where it is mentioned that 'z' is +ve? z can be negative, so 'B' is eliminated from the option. But if 'A' is true then 'z' has to be +ve.
So the right answer will be 'C'.



Manager
Joined: 20 Feb 2017
Posts: 68

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
06 Jun 2017, 00:38
Engr2012 wrote: Mascarfi wrote: If z is an odd integer, is 300z>1500?
Statement 1, 0<\(\sqrt{z}\)<8 Statement 2, 1<\(z^2\)<45 Z= odd integer, is 300z>1500 > z>5 ? Statement 1, \(0 < \sqrt{z} < 8\) > 1<z<64 so if z=3 or 5, answer is "no" but if z=7,9,11... the answer is "yes". Statement is not sufficient. Statement 2, \(1<z^2<45\) > only possible values are z=3 or 5, giving you a "no" . Sufficient. B is the correct answer. Hi, This is what I did. But I don't know where I missed. Please correct me. Statement 1: Given z= odd integer and 0<sqrt(Z)<8. So only possible value of Z is 1 and 300*1=300 is not greater than 1500. Answer is definitely NO. So sufficient. Statement 2: Z= 3,5 and answer from this statement is also definite NO. So sufficient. That is why I got D. Thanks.



Math Expert
Joined: 02 Sep 2009
Posts: 61189

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
06 Jun 2017, 08:17
goalMBA1990 wrote: Engr2012 wrote: Mascarfi wrote: If z is an odd integer, is 300z>1500?
Statement 1, 0<\(\sqrt{z}\)<8 Statement 2, 1<\(z^2\)<45 Z= odd integer, is 300z>1500 > z>5 ? Statement 1, \(0 < \sqrt{z} < 8\) > 1<z<64 so if z=3 or 5, answer is "no" but if z=7,9,11... the answer is "yes". Statement is not sufficient. Statement 2, \(1<z^2<45\) > only possible values are z=3 or 5, giving you a "no" . Sufficient. B is the correct answer. Hi, This is what I did. But I don't know where I missed. Please correct me. Statement 1: Given z= odd integer and 0<sqrt(Z)<8. So only possible value of Z is 1 and 300*1=300 is not greater than 1500. Answer is definitely NO. So sufficient. Statement 2: Z= 3,5 and answer from this statement is also definite NO. So sufficient. That is why I got D. Thanks. (1) \(0 < \sqrt{z} < 8\) > square: \(0 < z < 64\). Any odd z will work here: 1, 3, 5, 7, 9, ..., 63. z's less than or equal to 5, give NO answer while greater than 5, give an YES answer. Not sufficient.
_________________



Manager
Joined: 20 Feb 2017
Posts: 68

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
06 Jun 2017, 08:45
Hi Bunuel,
I agree if I square both sides I will 0 to 64 values for Z not including 0 and 64.
But what is wrong with my method. Suppose I don't square both side and keep statement intact. I mean we are given that Z= odd integer and square root of Z is between 0 and 8. So I can selected Z=1 and square root Z is 1 which between 0 and Z. 300(1) is not greater than 1500. So statement alone is sufficient to answer.



Math Expert
Joined: 02 Sep 2009
Posts: 61189

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
06 Jun 2017, 08:48
goalMBA1990 wrote: Hi Bunuel,
I agree if I square both sides I will 0 to 64 values for Z not including 0 and 64.
But what is wrong with my method. Suppose I don't square both side and keep statement intact. I mean we are given that Z= odd integer and square root of Z is between 0 and 8. So I can selected Z=1 and square root Z is 1 which between 0 and Z. 300(1) is not greater than 1500. So statement alone is sufficient to answer. But you can select many other values for z. Why not 3, 5, 7, ... ? Different z's give different answers.
_________________



Retired Moderator
Joined: 25 Feb 2013
Posts: 1141
Location: India
GPA: 3.82

If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
Updated on: 06 Jun 2017, 09:07
aveek86 wrote: z is an odd integer  but where it is mentioned that 'z' is +ve? z can be negative, so 'B' is eliminated from the option. But if 'A' is true then 'z' has to be +ve.
So the right answer will be 'C'. Hi aveek86as per the question we need to find 300z>1500 or z>5 (dividing both sides by 300) As per statement 1 0<z^(1/2)<8, So squaring both sides will give 0<z<64. So z can be 1 and 3 or z can be 5, 7....So insufficient Statement 2: 1<z^2<45. Now as z is odd so what all values will satisfy this inequality? "z" could be 3, 5, 3 or 5. Each of these numbers definitely shows that "z" is not greater than 5. So we have a definite NO hence Sufficient to answer the question. So Option B
Originally posted by niks18 on 06 Jun 2017, 08:58.
Last edited by niks18 on 06 Jun 2017, 09:07, edited 1 time in total.



Manager
Joined: 20 Feb 2017
Posts: 68

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
06 Jun 2017, 09:02
Bunuel wrote: goalMBA1990 wrote: Hi Bunuel,
I agree if I square both sides I will 0 to 64 values for Z not including 0 and 64.
But what is wrong with my method. Suppose I don't square both side and keep statement intact. I mean we are given that Z= odd integer and square root of Z is between 0 and 8. So I can selected Z=1 and square root Z is 1 which between 0 and Z. 300(1) is not greater than 1500. So statement alone is sufficient to answer. But you can select many other values for z. Why not 3, 5, 7, ... ? Different z's give different answers. Got your point. I was restricting my self for some values only and not understanding the question. Thanks for clarification.



Manager
Joined: 22 Sep 2016
Posts: 156
Location: India
GPA: 4

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
06 Jun 2017, 23:05
Engr2012 wrote: Mascarfi wrote: If z is an odd integer, is 300z>1500?
Statement 1, 0<\(\sqrt{z}\)<8 Statement 2, 1<\(z^2\)<45 Z= odd integer, is 300z>1500 > z>5 ? Statement 1, \(0 < \sqrt{z} < 8\) > 1<z<64 so if z=3 or 5, answer is "no" but if z=7,9,11... the answer is "yes". Statement is not sufficient. Statement 2, \(1<z^2<45\) > only possible values are z=3 or 5, giving you a "no" . Sufficient. B is the correct answer. 300*5 =1500, and 1500 is not greater than 1500. Had the question asked, is 300z greater than equal to 1500, the answer would have been B. In this case, there is ambiguity and hence both the statements are insufficient.



Manager
Joined: 27 Feb 2017
Posts: 223
Location: United States (WA)
GMAT 1: 760 Q50 V42

Re: If z is an odd integer, is 300z > 1500?
[#permalink]
Show Tags
01 Jan 2020, 08:43
A good question that looks innocent but is tricky enough to have me choose E! That is not a really good start of a new year.




Re: If z is an odd integer, is 300z > 1500?
[#permalink]
01 Jan 2020, 08:43






