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

It is currently 20 Jun 2019, 00:40

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Given that a < 5, and b - a = 0, which of the following must

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

Hide Tags

 
Senior Manager
Senior Manager
User avatar
Joined: 21 Oct 2013
Posts: 414
Given that a < 5, and b - a = 0, which of the following must  [#permalink]

Show Tags

New post 13 Aug 2014, 10:21
3
10
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

54% (01:18) correct 46% (01:17) wrong based on 398 sessions

HideShow timer Statistics

Given that a < 5, and b - a = 0, which of the following must be true about b?

A. b = 5
B. b ≤ 5
C. b ≥ 5
D. b < 4
E. b > 5

OE
a = b
If b ≤ 5, a has to be < 5, else (a - b) will not be = 0.


Similar to the previous post, I found this question hard. Please help.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55718
Re: Given that a < 5, and b - a = 0, which of the following must  [#permalink]

Show Tags

New post 29 Aug 2014, 05:17
2
3
General Discussion
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55718
Re: Given that a < 5, and b - a = 0, which of the following must  [#permalink]

Show Tags

New post 13 Aug 2014, 10:35
1
goodyear2013 wrote:
Given that a < 5, and b - a = 0, which of the following must be true about b?

A. b = 5
B. b ≤ 5
C. b ≥ 5
D. b < 4
E. b > 5

OE
a = b
If b ≤ 5, a has to be < 5, else (a - b) will not be = 0.


Similar to the previous post, I found this question hard. Please help.


b - a = 0 --> b = a. Thus since a < 5, then b < 5 too. For any number which is less than 5 would be true that it's less than or equal to 5.

Answer: B.
_________________
Intern
Intern
avatar
Joined: 30 Dec 2013
Posts: 4
Schools: AGSM '16
Re: Given that a < 5, and b - a = 0, which of the following must  [#permalink]

Show Tags

New post 14 Aug 2014, 09:53
If a=b and a<5, how can b be equal to 5? As defined, "a" can not be equal to 5, "a" must be less than five.
Senior Manager
Senior Manager
User avatar
Joined: 21 Oct 2013
Posts: 414
Re: Given that a < 5, and b - a = 0, which of the following must  [#permalink]

Show Tags

New post 28 Aug 2014, 08:14
1
Hi Bunuel,

Thank you for the explanation.
One thing I am not sure about the answer is why b can be 5 while a can not be.
Director
Director
User avatar
Joined: 25 Apr 2012
Posts: 668
Location: India
GPA: 3.21
WE: Business Development (Other)
Reviews Badge
Re: Given that a < 5, and b - a = 0, which of the following must  [#permalink]

Show Tags

New post 28 Aug 2014, 21:08
3
goodyear2013 wrote:
Hi Bunuel,

Thank you for the explanation.
One thing I am not sure about the answer is why b can be 5 while a can not be.

Given that a < 5, and b - a = 0, which of the following must be true about b?

A. b = 5
B. b ≤ 5
C. b ≥ 5
D. b < 4
E. b > 5


We are given that b=a and we are given that \(a\neq{5}\) and a<5
A... Since a =b so Option A is out
C...if\(b\geq{5}\)...means b =5 or greater then 5...then\(b\neq{a}\)
Option D ....we can say b<5 but not b<4...what if a =4.1....
Option E.... b=a and a<5 so...b<5...

If you use of POE, You end up with B as answer...Also,look at the choices which satisfy our given condition the most...B still wins..
Hope it helps
_________________

“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”
Intern
Intern
avatar
B
Joined: 23 Jul 2013
Posts: 14
Re: Given that a < 5, and b - a = 0, which of the following must  [#permalink]

Show Tags

New post 28 Dec 2015, 22:25
Bunuel wrote:
goodyear2013 wrote:
Hi Bunuel,

Thank you for the explanation.
One thing I am not sure about the answer is why b can be 5 while a can not be.


b cannot be 5 either. The point is that if a number is less that 5 (x < 5), it would also be correct to say about it that it's less than or equal to 5 (x <= 5).


Hi Bunuel,
I do agree with you upto the point where b<5 is correct. However, if b<=5, then it could mean that b = 5. However, "a" can go upto 4.99999999....999 but never 5. In that case b is not equal to a. I picked option B for there is no other better choice.

Can you provide your views on my point above please?
Senior Manager
Senior Manager
User avatar
Joined: 20 Aug 2015
Posts: 388
Location: India
GMAT 1: 760 Q50 V44
Re: Given that a < 5, and b - a = 0, which of the following must  [#permalink]

Show Tags

New post 29 Dec 2015, 00:11
1
Meetup wrote:
Bunuel wrote:
goodyear2013 wrote:
Hi Bunuel,

Thank you for the explanation.
One thing I am not sure about the answer is why b can be 5 while a can not be.


b cannot be 5 either. The point is that if a number is less that 5 (x < 5), it would also be correct to say about it that it's less than or equal to 5 (x <= 5).


Hi Bunuel,
I do agree with you upto the point where b<5 is correct. However, if b<=5, then it could mean that b = 5. However, "a" can go upto 4.99999999....999 but never 5. In that case b is not equal to a. I picked option B for there is no other better choice.

Can you provide your views on my point above please?


Hi Meetup,

The question asks "which of the following must be true about b"
We know that b < 5
Here b < 5 is a subset of b ≤ 5
Hence we can say for sure that the values of b that lie in b < 5 will lie in b ≤ 5

Does this help?
Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2610
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User
Re: Given that a < 5, and b - a = 0, which of the following must  [#permalink]

Show Tags

New post 10 Mar 2016, 11:01
e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2892
Re: Given that a < 5, and b - a = 0, which of the following must  [#permalink]

Show Tags

New post 18 Aug 2016, 04:24
3
For such questions, representing the inequalities on the number line is a good and non-confusing way to solve the question.

From the question statement, we get that b = a and hence b < 5. Let’s represent this inequality along with all the options on a number line and try to find out the answer.


Image


So, now we need to find for b < 5, which of the inequality/equation always holds true. Therefore, in the number line representations of the options, we need to look for a representation that definitely covers all the values of b < 5 (probably, along with some other value(s)).

So, we will look for an inequality/equation in the options, which is always true for all the values of b < 5, i.e. an inequality/equation whose representation on the number line is a super set of the representation of b < 5.

It is important to note here that a representation that covers all the values of b < 5 and also covers some additional values will also be always true for any value that satisfies the inequality b < 5.



Now, looking at the number line representations of the options, we can see that among all the options it is only option B (b ≤5) that covers all the possible values of b < 5 (along with the additional point 5 on the number line).

So, option B is always true for any value satisfying b < 5.

Again, do not be confused by the fact that option B also includes 5 in its solution set, which is not true for b < 5. What is important to understand is that any value that satisfies b < 5 also satisfies b ≤5.


Hope this helps. :-D

Regards,
Harsh
_________________
VP
VP
avatar
G
Joined: 09 Mar 2018
Posts: 1003
Location: India
Re: Given that a < 5, and b - a = 0, which of the following must  [#permalink]

Show Tags

New post 27 Jan 2019, 20:21
goodyear2013 wrote:
Given that a < 5, and b - a = 0, which of the following must be true about b?

A. b = 5
B. b ≤ 5
C. b ≥ 5
D. b < 4
E. b > 5

OE
a = b
If b ≤ 5, a has to be < 5, else (a - b) will not be = 0.


Similar to the previous post, I found this question hard. Please help.


Never Assume anything



Said that a< 5, can mean a is any value from 4.9 to 4, from 3.23 to 3.17

Answer B

b < = 5 covers all the values
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
GMAT Club Bot
Re: Given that a < 5, and b - a = 0, which of the following must   [#permalink] 27 Jan 2019, 20:21
Display posts from previous: Sort by

Given that a < 5, and b - a = 0, which of the following must

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


Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne