Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
17 Sep 2017, 03:52
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
66% (01:26) correct
34%
(01:40)
wrong
based on 61
sessions
History
Date
Time
Result
Not Attempted Yet
If b is an integer what is the value of (4b + 1)/(2b) when rounded to the nearest integer?
(1) b > 1
(2) b > 2
(1) b > 1
(2) b > 2
17 Sep 2017, 04:22
Kudos
Bookmarks
b is an integer
value of : \(\frac{4b + 1}{2b}\) when rounded to the nearest integer
\(\frac{4b + 1}{2b} = 2+\frac{1}{2b}\)
=>for b =+ve integer => maximum value of \(\frac{1}{2b}\)will be for b=1 => \(2 + \frac{1}{2} = 2+0.5 = 2.5 = 3\) rounded to nearest integer
=> for \(b >1\) value of \(\frac{1}{2b}\) will be less than 0.5 => \(2 + \frac{1}{2*2} = 2+0.25 =2.25 = 2\) rounded to nearest integer
so for all values of b > 1 nearest integer value for \(\frac{4b + 1}{2b}\) = 2
=> for b=0 value is not defined.
=> for b=-ve integer => minimum value of \(\frac{1}{2b}\) will be for \(b=-1\) => \(2 + \frac{1}{-2} = 2-0.5 = 1.5 = 2\) rounded to nearest integer
=> for \(b <-1\) value of \(\frac{1}{2b}\) will be less than 0.5 => \(2 + \frac{1}{-2*2} = 2-0.25 = 1.75 = 2\) rounded to nearest integer
so for all values of \(b =<-1\) nearest integer value for \(\frac{4b + 1}{2b}\) = 2
(1) b > 1
As per above discussion for b >1 => \(\frac{4b + 1}{2b}\) = 2
Sufficient
(2) b > 2
As per above discussion for b >2 => \(\frac{4b + 1}{2b}\) = 2
Sufficient
Answer: D
value of : \(\frac{4b + 1}{2b}\) when rounded to the nearest integer
\(\frac{4b + 1}{2b} = 2+\frac{1}{2b}\)
=>for b =+ve integer => maximum value of \(\frac{1}{2b}\)will be for b=1 => \(2 + \frac{1}{2} = 2+0.5 = 2.5 = 3\) rounded to nearest integer
=> for \(b >1\) value of \(\frac{1}{2b}\) will be less than 0.5 => \(2 + \frac{1}{2*2} = 2+0.25 =2.25 = 2\) rounded to nearest integer
so for all values of b > 1 nearest integer value for \(\frac{4b + 1}{2b}\) = 2
=> for b=0 value is not defined.
=> for b=-ve integer => minimum value of \(\frac{1}{2b}\) will be for \(b=-1\) => \(2 + \frac{1}{-2} = 2-0.5 = 1.5 = 2\) rounded to nearest integer
=> for \(b <-1\) value of \(\frac{1}{2b}\) will be less than 0.5 => \(2 + \frac{1}{-2*2} = 2-0.25 = 1.75 = 2\) rounded to nearest integer
so for all values of \(b =<-1\) nearest integer value for \(\frac{4b + 1}{2b}\) = 2
(1) b > 1
As per above discussion for b >1 => \(\frac{4b + 1}{2b}\) = 2
Sufficient
(2) b > 2
As per above discussion for b >2 => \(\frac{4b + 1}{2b}\) = 2
Sufficient
Answer: D
17 Sep 2017, 05:07
Kudos
Bookmarks
solving the equation, (4b+1)/2b, 2+(1/2b), so now analyzing the statements,
Statement 1 - b>1, means that 1/2b can be .25,.16 and would further keep on reducing as the denominator would keep on increasing, hence after rounding off, the answer shall be 2 and hence statement 1 is sufficient.
Statement 2 - b>2 would mean the same that the value of 1/2b would be nearing zero only on rounding off and hence after rounding off, the answer would be 2 only. hence statement 2 is also sufficient.
so answer is D as both statement are sufficient individually.
Statement 1 - b>1, means that 1/2b can be .25,.16 and would further keep on reducing as the denominator would keep on increasing, hence after rounding off, the answer shall be 2 and hence statement 1 is sufficient.
Statement 2 - b>2 would mean the same that the value of 1/2b would be nearing zero only on rounding off and hence after rounding off, the answer would be 2 only. hence statement 2 is also sufficient.
so answer is D as both statement are sufficient individually.
