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

 It is currently 19 Aug 2018, 16:40

### 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

# If b is an integer what is the value of (4b + 1)/(2b) when rounded to

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 48037
If b is an integer what is the value of (4b + 1)/(2b) when rounded to  [#permalink]

### Show Tags

17 Sep 2017, 03:52
00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:09) correct 29% (01:30) wrong based on 42 sessions

### HideShow timer Statistics

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

_________________
Senior Manager
Joined: 02 Jul 2017
Posts: 294
GMAT 1: 730 Q50 V38
Re: If b is an integer what is the value of (4b + 1)/(2b) when rounded to  [#permalink]

### Show Tags

17 Sep 2017, 04:22
1
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

Intern
Joined: 19 Sep 2016
Posts: 35
Re: If b is an integer what is the value of (4b + 1)/(2b) when rounded to  [#permalink]

### Show Tags

17 Sep 2017, 05:07
1
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.
Intern
Joined: 24 Jul 2017
Posts: 49
Location: India
WE: Information Technology (Computer Software)
Re: If b is an integer what is the value of (4b + 1)/(2b) when rounded to  [#permalink]

### Show Tags

17 Sep 2017, 05:20
1
Given that b is an integer
Further simplifying the given expression (4b+1)/2b ----> 2 + 1/2b

1. b>1
Least integer value is 2. Putting in above expression we get ---> 2 + 1/4 = 2.25 ---> Rounded to nearest integer, we get 2
Any value greater than 2 will make the term 1/2b smaller and rounding to the nearest integer will always give the value 2.
Sufficient

2. b>2
Again, any value greater than 2 will make the term 1/2b smaller thereby rounding the value to nearest integer will give 2. Sufficient.

Option D.

Dont forget to give kudos
Re: If b is an integer what is the value of (4b + 1)/(2b) when rounded to &nbs [#permalink] 17 Sep 2017, 05:20
Display posts from previous: Sort by

# If b is an integer what is the value of (4b + 1)/(2b) when rounded to

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.