Author 
Message 
TAGS:

Hide Tags

Board of Directors
Joined: 01 Sep 2010
Posts: 3414

How many bits of computer memory will be required to store the integer [#permalink]
Show Tags
03 Jul 2017, 13:41
Question Stats:
72% (00:55) correct 28% (00:38) wrong based on 57 sessions
HideShow timer Statistics



Verbal Forum Moderator
Joined: 19 Mar 2014
Posts: 977
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5

Re: How many bits of computer memory will be required to store the integer [#permalink]
Show Tags
03 Jul 2017, 13:51
carcass wrote: How many bits of computer memory will be required to store the integer x, where x =  \(\sqrt{810,000}\) if each digit requires 4 bits of memory and the sign of x requires 1 bit?
(A) 25 (B) 24 (C) 17 (D) 13 (E) 12 Hi  carcass  Could you please check the validity of the question? I think either the question is incorrect or the answer options are not matching. Your question only contains x =  \(\sqrt{810,000}\)
_________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."
Best AWA Template: https://gmatclub.com/forum/howtoget60awamyguide64327.html#p470475



Board of Directors
Joined: 01 Sep 2010
Posts: 3414

Re: How many bits of computer memory will be required to store the integer [#permalink]
Show Tags
03 Jul 2017, 13:55



Verbal Forum Moderator
Joined: 19 Mar 2014
Posts: 977
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5

Re: How many bits of computer memory will be required to store the integer [#permalink]
Show Tags
03 Jul 2017, 14:05
carcass wrote: The question is correct. I checked it out Hello carcass, may be I am wrong. however, however for me this problem looks exactly similar to the problem in GMAT PLUS where the question is: \({}\sqrt{810,000}  \sqrt{810,000}\) Followed by this option (A) 25 (B) 24 (C) 17 (D) 13 (E) 12 Answer for the above question is D  13 and solution is as per below: \(900  900 = 1800\) As there are three unique digits and each units require 4 bits answer will be \(= 4*3 + 1 = 12+1 = 13\) ====== Coming back to your question, where you have only given \({}\sqrt{810,000}\) Which will be \(900\) And answer would be \(= 4*2 + 1 = 8+1 = 9\) Please confirm if I am wrong.
_________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."
Best AWA Template: https://gmatclub.com/forum/howtoget60awamyguide64327.html#p470475



Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 1961
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE: Information Technology (Consulting)

Re: How many bits of computer memory will be required to store the integer [#permalink]
Show Tags
03 Jul 2017, 20:31
1
This post was BOOKMARKED
carcass wrote: How many bits of computer memory will be required to store the integer x, where x =  \(\sqrt{810,000}\) if each digit requires 4 bits of memory and the sign of x requires 1 bit?
(A) 25 (B) 24 (C) 17 (D) 13 (E) 12 x =  \(\sqrt{810,000}\) =  900 Each digit requires 4 bits of memory and sign of x requires 1 bit Total number of bits of computer memory required = 4*3 + 1 = 13 Answer D
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it.  Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long +1 Kudos if you find this post helpful



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8028
Location: Pune, India

Re: How many bits of computer memory will be required to store the integer [#permalink]
Show Tags
03 Jul 2017, 21:06
ydmuley wrote: carcass wrote: The question is correct. I checked it out Hello carcass, may be I am wrong. however, however for me this problem looks exactly similar to the problem in GMAT PLUS where the question is: \({}\sqrt{810,000}  \sqrt{810,000}\) Followed by this option (A) 25 (B) 24 (C) 17 (D) 13 (E) 12 Answer for the above question is D  13 and solution is as per below: \(900  900 = 1800\) As there are three unique digits and each units require 4 bits answer will be \(= 4*3 + 1 = 12+1 = 13\) ====== Coming back to your question, where you have only given \({}\sqrt{810,000}\) Which will be \(900\) And answer would be \(= 4*2 + 1 = 8+1 = 9\) Please confirm if I am wrong. 900 has 3 digits. Note that you are not looking for just the unique digits. You need 4 bits to store each of the digit to know the number. Else, if you just store 9 and 0, the number could be 90, 990, 900 ... etc
_________________
Karishma Veritas Prep  GMAT Instructor My Blog
Get started with Veritas Prep GMAT On Demand for $199
Veritas Prep Reviews



Intern
Joined: 02 Mar 2018
Posts: 7

Re: How many bits of computer memory will be required to store the integer [#permalink]
Show Tags
13 Mar 2018, 20:42
ydmuley wrote: carcass wrote: The question is correct. I checked it out Hello carcass, may be I am wrong. however, however for me this problem looks exactly similar to the problem in GMAT PLUS where the question is: \({}\sqrt{810,000}  \sqrt{810,000}\) Followed by this option (A) 25 (B) 24 (C) 17 (D) 13 (E) 12 Answer for the above question is D  13 and solution is as per below: \(900  900 = 1800\) As there are three unique digits and each units require 4 bits answer will be \(= 4*3 + 1 = 12+1 = 13\) ====== Coming back to your question, where you have only given \({}\sqrt{810,000}\) Which will be \(900\) And answer would be \(= 4*2 + 1 = 8+1 = 9\) Please confirm if I am wrong. 3 unique digits means: 1) 4 bits of memory 2) sign x requires 3) x requires 1 bit Are these the 3 unique digits for which we did 4*3? Sent from my MI 5 using GMAT Club Forum mobile app



Senior Manager
Status: May The Force Be With Me (DDAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 251
Location: India
Concentration: General Management, Entrepreneurship

Re: How many bits of computer memory will be required to store the integer [#permalink]
Show Tags
13 Mar 2018, 21:39
VeritasPrepKarishma wrote: ydmuley wrote: carcass wrote: The question is correct. I checked it out Hello carcass, may be I am wrong. however, however for me this problem looks exactly similar to the problem in GMAT PLUS where the question is: \({}\sqrt{810,000}  \sqrt{810,000}\) Followed by this option (A) 25 (B) 24 (C) 17 (D) 13 (E) 12 Answer for the above question is D  13 and solution is as per below: \(900  900 = 1800\) As there are three unique digits and each units require 4 bits answer will be \(= 4*3 + 1 = 12+1 = 13\) ====== Coming back to your question, where you have only given \({}\sqrt{810,000}\) Which will be \(900\) And answer would be \(= 4*2 + 1 = 8+1 = 9\) Please confirm if I am wrong. 900 has 3 digits. Note that you are not looking for just the unique digits. You need 4 bits to store each of the digit to know the number. Else, if you just store 9 and 0, the number could be 90, 990, 900 ... etc Hi, Just wanted to understand why we are not considering that the root of 81,000 shall have two values one positive and the other negative. Would appreciate it if anyone could give clarity on this
_________________
Giving +1 kudos is a better way of saying 'Thank You'.



Math Expert
Joined: 02 Sep 2009
Posts: 44599

Re: How many bits of computer memory will be required to store the integer [#permalink]
Show Tags
13 Mar 2018, 21:44
boomtangboy wrote: Hi, Just wanted to understand why we are not considering that the root of 81,000 shall have two values one positive and the other negative. Would appreciate it if anyone could give clarity on this \(\sqrt{...}\) is the square root sign, a function (called the principal square root function), which cannot give negative result. So, this sign (\(\sqrt{...}\)) always means nonnegative square root. The graph of the function f(x) = √xNotice that it's defined for nonnegative numbers and is producing nonnegative results. TO SUMMARIZE: When the GMAT provides the square root sign for an even root, such as a square root, fourth root, etc. then the only accepted answer is the nonnegative root. That is: \(\sqrt{9} = 3\), NOT +3 or 3; \(\sqrt[4]{16} = 2\), NOT +2 or 2; Notice that in contrast, the equation \(x^2 = 9\) has TWO solutions, +3 and 3. Because \(x^2 = 9\) means that \(x =\sqrt{9}=3\) or \(x=\sqrt{9}=3\).
_________________
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



Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 880
Location: India
WE: Engineering (Other)

Re: How many bits of computer memory will be required to store the integer [#permalink]
Show Tags
13 Mar 2018, 22:18
Bunuel Quote: Notice that in contrast, the equation \(x^2 = 9\) has TWO solutions, +3 and 3. Because \(x^2 = 9\) means that \(x =\sqrt{9}=3\) or \(x=\sqrt{9}=3\) Is highlighted text same as taking absolute modulus? \(x^2 = 9\) Taking square root on both sides, we get x = 9 or x = 3 or x = 3.
_________________
It's the journey that brings us happiness not the destination.



Math Expert
Joined: 02 Sep 2009
Posts: 44599

Re: How many bits of computer memory will be required to store the integer [#permalink]
Show Tags
13 Mar 2018, 22:29




Re: How many bits of computer memory will be required to store the integer
[#permalink]
13 Mar 2018, 22:29






