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

 It is currently 17 Jan 2019, 01:01

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# For how many integers, denoted by "q", is

Author Message
TAGS:

### Hide Tags

Manager
Joined: 23 Sep 2016
Posts: 214
For how many integers, denoted by "q", is  [#permalink]

### Show Tags

Updated on: 28 Mar 2018, 19:50
2
00:00

Difficulty:

85% (hard)

Question Stats:

34% (01:29) correct 66% (01:21) wrong based on 99 sessions

### HideShow timer Statistics

For how many integers, denoted by "q", is $$2^{|q|} =q^2$$?

A. ONE
B. TWO
C. THREE
D. FOUR
E. MORE THAN FOUR.

Originally posted by rishabhmishra on 15 Mar 2018, 23:29.
Last edited by Bunuel on 28 Mar 2018, 19:50, edited 1 time in total.
Edited the question.
Manager
Joined: 23 Sep 2016
Posts: 214
Re: For how many integers, denoted by "q", is  [#permalink]

### Show Tags

15 Mar 2018, 23:37
rishabhmishra wrote:
For how many integers, denoted by "q", is $$2^{[q]} =q^2$$?
A. ONE
B. TWO
C. THREE
D. FOUR
E. MORE THAN FOUR.

This is possible for 4 integers 2, 4, -2 and -4
as $$2^4$$ = 16
$$4^2$$=16
$$2^2$$= 4
and for - from the equation above those negative will converted into + by squaring or by [q]
Intern
Joined: 18 Oct 2016
Posts: 1
Re: For how many integers, denoted by "q", is  [#permalink]

### Show Tags

28 Mar 2018, 11:20
1
Hi, I have a discrepancy with the answer and approach to the solution, it is not mentioned that [q] is absolute value of q, generally |q| is taken to be so. Also, in many cases the square brackets are used for greatest or smallest integer above or below a value type of questions, or it could simply mean square brackets. So i believe it is necessary for the symbol to be expressed correctly. Please correct me if I am wrong.
Math Expert
Joined: 02 Sep 2009
Posts: 52182
Re: For how many integers, denoted by "q", is  [#permalink]

### Show Tags

28 Mar 2018, 19:49
ShriyaMisra wrote:
Hi, I have a discrepancy with the answer and approach to the solution, it is not mentioned that [q] is absolute value of q, generally |q| is taken to be so. Also, in many cases the square brackets are used for greatest or smallest integer above or below a value type of questions, or it could simply mean square brackets. So i believe it is necessary for the symbol to be expressed correctly. Please correct me if I am wrong.

You are right. If it's meant to be the absolute value of q, then it should have been written as |q| NOT [q]. Edited.
_________________
Re: For how many integers, denoted by "q", is &nbs [#permalink] 28 Mar 2018, 19:49
Display posts from previous: Sort by