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

 It is currently 18 Jan 2019, 20:19

### 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
• ### 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.
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# If 500 is the multiple of 100 that is closest to X and 400

Author Message
TAGS:

### Hide Tags

Director
Joined: 21 Dec 2009
Posts: 513
Concentration: Entrepreneurship, Finance
If 500 is the multiple of 100 that is closest to X and 400  [#permalink]

### Show Tags

19 Aug 2010, 01:57
7
33
00:00

Difficulty:

75% (hard)

Question Stats:

59% (02:28) correct 41% (02:11) wrong based on 777 sessions

### HideShow timer Statistics

If 500 is the multiple of 100 that is closest to X and 400 is the multiple of 100 closest to Y, then which multiple of 100 closest to X + Y?

(1) X < 500

(2) Y < 400

Above is a GMATPREP2 question. One solution says:
"since the numbers don't have to be integers, you have
1. 450 < x < 550 (excluding BOTH endpoints) - note that x could be 450.00001 or 549.99999
2. 350 < y < 450 (again excluding both endpoints)..."

If x < 500 and 500 is the multiple of 100 closest to it, i think the condition
450 <= x < 550 would suffice - after all, 450 to the nearest 100 = 500?
Same issue applicable to 350 < y < 450 should be 350 <= y < 450

Kindly respond please. (N.B: I've tried a search on the topic but the response returned 2081 results!!)

_________________

KUDOS me if you feel my contribution has helped you.

Math Expert
Joined: 02 Sep 2009
Posts: 52285
Re: If 500 is the multiple of 100  [#permalink]

### Show Tags

19 Aug 2010, 06:15
17
5
gmatbull wrote:
If 500 is the multiple of 100 that is closest to X and 400 is the multiple of 100 closest to Y, then which multiple of 100 closest to X + Y ?

1. X < 500

2. Y < 400

Above is a GMATPREP2 question. One solution says:
"since the numbers don't have to be integers, you have
1. 450 < x < 550 (excluding BOTH endpoints) - note that x could be 450.00001 or 549.99999
2. 350 < y < 450 (again excluding both endpoints)..."

If x < 500 and 500 is the multiple of 100 closest to it, i think the condition
450 <= x < 550 would suffice - after all, 450 to the nearest 100 = 500?
Same issue applicable to 350 < y < 450 should be 350 <= y < 450

Kindly respond please. (N.B: I've tried a search on the topic but the response returned 2081 results!!)

"x rounded to the nearest hundred is 500" means $$450\leq{x}<550$$ (inequality you've written) BUT it IS NOT the same as "500 is the multiple of 100 that is closest to x", which should be $$450<x<550$$ as 450 is equidistant from 400 and 500 and we cannot say that 450 rounded to nearest multiple of 100 is 500, it's 500 OR 400. That's why endpoints must be excluded.

If 500 is the multiple of 100 that is closest to X and 400 is the multiple of 100 closest to Y, then which multiple of 100 closest to X + Y ?

"500 is the multiple of 100 closest to X" --> $$450<x<550$$;
"400 is the multiple of 100 closest to Y" --> $$350<y<450$$.

(1) x<500 --> $$450<x<500$$ --> add this inequality to inequality with y --> $$800<x+y<950$$. If x+y=810 then closest multiple of 100 is 800 BUT if x+y=860 then closest multiple of 100 is 900. Not sufficient.

(2) y<400 --> $$350<y<400$$ --> add this inequality to inequality with x --> $$800<x+y<950$$. The same here: if x+y=810 then closest multiple of 100 is 800 BUT if x+y=860 then closest multiple of 100 is 900. Not sufficient.

(1)+(2) Sum $$450<x<500$$ and $$350<x<400$$ --> $$800<x+y<900$$ --> and again if x+y=810 then closest multiple of 100 is 800 BUT if x+y=860 then closest multiple of 100 is 900. Not sufficient.

Hope it's clear.
_________________
##### General Discussion
Manager
Joined: 06 Apr 2010
Posts: 52
Re: If 500 is the multiple of 100  [#permalink]

### Show Tags

19 Aug 2010, 20:01
3
1
I think you need to focus on what the question is asking, the questions i asking x+ y. I did it the same way as Brunel and added the two inequalities. You can either round to 800, 900, or 1000 depending on the statement you're looking at.
_________________

If you liked my post, please consider thanking me with Kudos! I really appreciate it!

Director
Joined: 21 Dec 2009
Posts: 513
Concentration: Entrepreneurship, Finance
Re: If 500 is the multiple of 100  [#permalink]

### Show Tags

20 Aug 2010, 06:47
kudos again; it's very clear now.

Very appreciative of your time and skill devoted in such detailed explanations.
Dunno whether to wish you success -if my wish would add any value- in your
GMAT exam. Out of curiosity, i asked whether you've actually taken the GMAT
but you seem to remain silent over the question.

Great personality out there, "Bunuel."
_________________

KUDOS me if you feel my contribution has helped you.

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8792
Location: Pune, India
Re: If 500 is the multiple of 100  [#permalink]

### Show Tags

29 Dec 2010, 20:16
gmatbull wrote:
If 500 is the multiple of 100 that is closest to X and 400 is the multiple of 100 closest to Y, then which multiple of 100 closest to X + Y ?

1. X < 500

2. Y < 400

Above is a GMATPREP2 question. One solution says:
"since the numbers don't have to be integers, you have
1. 450 < x < 550 (excluding BOTH endpoints) - note that x could be 450.00001 or 549.99999
2. 350 < y < 450 (again excluding both endpoints)..."

If x < 500 and 500 is the multiple of 100 closest to it, i think the condition
450 <= x < 550 would suffice - after all, 450 to the nearest 100 = 500?
Same issue applicable to 350 < y < 450 should be 350 <= y < 450

Kindly respond please. (N.B: I've tried a search on the topic but the response returned 2081 results!!)

Besides, be aware that when you talk about rounding, there are different rules you can use in case of a tie i.e. 450 needs to be rounded off to a multiple of 100. Since it is equidistant from 400 and 500, it can be rounded up (i.e. to 500) or rounded down (i.e. to 400). It can be rounded towards 0 on the number line (i.e. 400) or away from 0 (i.e. to 500) etc. Generally, in schools, rounding up is taught but it is biased towards giving a higher value. Nevertheless, GMAT uses rounding up by default. (e.g. in Question 64, OG12)

Here anyway, as Bunuel mentioned, the question is not about rounding but about distance.
_________________

Karishma
Veritas Prep GMAT Instructor

Manager
Status: what we want to do, do it as soon as possible
Joined: 24 May 2010
Posts: 77
Location: Vietnam
WE 1: 5.0
Re: If 500 is the multiple of 100  [#permalink]

### Show Tags

01 Jan 2011, 07:32
i even could not grasp the point on what the question is about.
If 500 is the multiple of 100 that is closest to X --> i dont know whether 500 is closest to X or 100 is. The same with E maybe i must learn by heart the word translation from these explanations above.
_________________

Consider giving me kudos if you find my explanations helpful so i can learn how to express ideas to people more understandable.

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8792
Location: Pune, India
Re: If 500 is the multiple of 100  [#permalink]

### Show Tags

02 Jan 2011, 08:18
5
MICKEYXITIN wrote:
:( i even could not grasp the point on what the question is about.
If 500 is the multiple of 100 that is closest to X --> i dont know whether 500 is closest to X or 100 is. The same with E maybe i must learn by heart the word translation from these explanations above.

If 500 is the multiple of 100 that is closest to X
If it is difficult to understand, think of it this way:

500 is A.

A - the multiple of 100 that is closest to X

What is 500? It is the multiple of 100 that is closest to X. There are lots of multiples of 100 like 100, 200, 300, 400, 500, 600 etc but 500 is the one which is closest to X. So X could be 472 or 518 etc....
_________________

Karishma
Veritas Prep GMAT Instructor

Manager
Joined: 17 Dec 2010
Posts: 91
Location: Australia
GMAT 1: 690 Q48 V37
GPA: 3.37
WE: Engineering (Consulting)
Re: If 500 is the multiple of 100  [#permalink]

### Show Tags

04 Jan 2011, 20:01
gmatbull wrote:
kudos again; it's very clear now.

Very appreciative of your time and skill devoted in such detailed explanations.
Dunno whether to wish you success -if my wish would add any value- in your
GMAT exam. Out of curiosity, i asked whether you've actually taken the GMAT
but you seem to remain silent over the question.

Great personality out there, "Bunuel."

Bunuel was the only guy to ever get Q52 on the GMAT :D
_________________

Kudos always appreciated if my post helped you

Manager
Status: what we want to do, do it as soon as possible
Joined: 24 May 2010
Posts: 77
Location: Vietnam
WE 1: 5.0
Re: If 500 is the multiple of 100  [#permalink]

### Show Tags

05 Jan 2011, 20:37
VeritasPrepKarishma wrote:
MICKEYXITIN wrote:
:( i even could not grasp the point on what the question is about.
If 500 is the multiple of 100 that is closest to X --> i dont know whether 500 is closest to X or 100 is. The same with E maybe i must learn by heart the word translation from these explanations above.

If 500 is the multiple of 100 that is closest to X
If it is difficult to understand, think of it this way:

500 is A.

A - the multiple of 100 that is closest to X

What is 500? It is the multiple of 100 that is closest to X. There are lots of multiples of 100 like 100, 200, 300, 400, 500, 600 etc but 500 is the one which is closest to X. So X could be 472 or 518 etc....

thanx for your help Karishma. Your explantion is very clear, now i can understand the meaning without try to cram it to my head
_________________

Consider giving me kudos if you find my explanations helpful so i can learn how to express ideas to people more understandable.

Retired Moderator
Joined: 20 Dec 2010
Posts: 1809
Re: Tough GMAT prep DS  [#permalink]

### Show Tags

21 Feb 2011, 05:01
Considering x,y as integers for convenience. find (x+y) to know the closest multiple of 100

from stem;
451<x<549
351<y<449

802<x+y<998

This range covers three multiples; 800,900,1000. We need to nail it down to 1.

1) x < 500.
451<x<500
351<y<449
802<x+y<949
Still; 2 multiples of 100 may be close; 800,900. Not sufficient.

2) y < 400
351<y<400
451<x<549
802<x+y<949
Still; 2 multiples of 100 may be close; 800,900. Not sufficient.

Combing both;
451<x<500
351<y<400

802<x+y<900
Still; 2 multiples
800 and 900. Not sufficient.

Ans: "E"
_________________
Intern
Joined: 12 Oct 2011
Posts: 3
If 500 is the multiple of 100 that is closest to x and 400  [#permalink]

### Show Tags

06 Nov 2011, 17:16
1
If 500 is the multiple of 100 that is closest to x and 400 is the multiple of 100 that is closest to y. Which multiple of 100 is closest to x+y?

1) x < 500
2) y < 400

Need clear explanation of the question pls???
Manager
Joined: 20 Aug 2011
Posts: 128

### Show Tags

06 Nov 2011, 20:02
The answer is E and not C.

acc. to given conditions
450<x<550
350<y<450

x & y are not necessarily integers.
1. Insufficient
2. Insufficient

1+2
x+y can be close to 800 or 900
Insufficient.
_________________

Hit kudos if my post helps you.
You may send me a PM if you have any doubts about my solution or GMAT problems in general.

Current Student
Joined: 11 May 2011
Posts: 321

### Show Tags

06 Nov 2011, 20:47
rvind wrote:
If 500 is the multiple of 100 that is closest to x and 400 is the multiple of 100 that is closest to y. Which multiple of 100 is closest to x+y?

1) x < 500
2) y < 400

Need clear explanation of the question pls???

1) x < 500 --> lets consider x = 451 or 499 (taking closest and farthest value possible for x)
2) y < 400 --> lets consider y = 351 or 399 (taking closest and farthest value possible for y)

x+y = 802 or 898, which means it can be 800 or 900.

Cheers!
_________________

-----------------------------------------------------------------------------------------
What you do TODAY is important because you're exchanging a day of your life for it!
-----------------------------------------------------------------------------------------

Manager
Joined: 16 Dec 2009
Posts: 67
GMAT 1: 680 Q49 V33
WE: Information Technology (Commercial Banking)
Re: If 500 is the multiple of 100 that is closest to x and 400  [#permalink]

### Show Tags

25 Nov 2011, 03:52

450<x<550
350<y<450

Statememt 1. 450<x<500 .
So 800<x+y<950 . Insufficient as both 800 and 900 can be the answer.

Statement 2. 350<y<400
So 800<x+y<950 . Insufficient as both 800 and 900 can be the answer.

Combining both answers , 800<x+y<900 . Still insufficient as 800 (e.g x+y=815) and 900(e.g. x+y=850) are both potential answers.

So (E) is the correct answer choice.
_________________

If Electricity comes from Electrons , Does Morality come from Morons ??

If you find my post useful ... then please give me kudos ......

h(n) defined as product of even integers from 2 to n
Number N divided by D leaves remainder R
Ultimate list of MBA scholarships for international applicants

Manager
Joined: 12 Oct 2011
Posts: 183
Re: If 500 is the multiple of 100 that is closest to x and 400  [#permalink]

### Show Tags

17 Dec 2011, 21:55
Can someone please explain the question stem? I am pretty confused by the question itself. How to interpret the question? What is asked here? What is x and what is y? Are they integers? If they are, how does that affect the solution and if they are not, again the same question?
_________________

Consider KUDOS if you feel the effort's worth it

Manager
Joined: 06 Jun 2011
Posts: 94
Re: If 500 is the multiple of 100 that is closest to x and 400  [#permalink]

### Show Tags

17 Dec 2011, 22:27
Hi Siddharth,
X and Y has to be integers as they are multiples of 100.

For the explanation see Capricon's answer
Math Expert
Joined: 02 Sep 2009
Posts: 52285
Re: If 500 is the multiple of 100 that is closest to x and 400  [#permalink]

### Show Tags

13 Jan 2012, 17:19
Merging similar topics.

siddharthmuzumdar wrote:
Can someone please explain the question stem? I am pretty confused by the question itself. How to interpret the question? What is asked here? What is x and what is y? Are they integers? If they are, how does that affect the solution and if they are not, again the same question?

Please refer to my solution above. Hope it helps to understand the question. Side note: x and y are some numbers, not necessarily integers, for example from (1) we have that 450<x<500, so x can be any number from this range: 470, 480.5, 499,9999...

Check similar question for practice: the-numbers-x-and-y-are-not-integers-107346.html?hilit=multiple%20that%20closest
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 52285
Re: If 500 is the multiple of 100 that is closest to X and 400  [#permalink]

### Show Tags

26 Jun 2013, 00:41
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

All DS Divisibility/Multiples/Factors questions to practice: search.php?search_id=tag&tag_id=354
All PS Divisibility/Multiples/Factors questions to practice: search.php?search_id=tag&tag_id=185

_________________
Intern
Joined: 22 May 2013
Posts: 45
Concentration: General Management, Technology
GPA: 3.9
WE: Information Technology (Computer Software)
Re: If 500 is the multiple of 100 that is closest to X and 400  [#permalink]

### Show Tags

26 Jun 2013, 07:49
1
gmatbull wrote:
If 500 is the multiple of 100 that is closest to X and 400 is the multiple of 100 closest to Y, then which multiple of 100 closest to X + Y?

(1) X < 500

(2) Y < 400

Above is a GMATPREP2 question. One solution says:
"since the numbers don't have to be integers, you have
1. 450 < x < 550 (excluding BOTH endpoints) - note that x could be 450.00001 or 549.99999
2. 350 < y < 450 (again excluding both endpoints)..."

If x < 500 and 500 is the multiple of 100 closest to it, i think the condition
450 <= x < 550 would suffice - after all, 450 to the nearest 100 = 500?
Same issue applicable to 350 < y < 450 should be 350 <= y < 450

Kindly respond please. (N.B: I've tried a search on the topic but the response returned 2081 results!!)

If 500 is the multiple of 100 that is closest to X and 400 is the multiple of 100 closest to Y, then which multiple of 100 closest to X + Y?

(1) X < 500

(2) Y < 400

Question :
450<X<550 and 350<Y<450
?<X+Y<?

(1) X < 500
Now,
450<X<500 and 350<Y<450

Higher range => 490+440 = 930 (No closest: 900)
Lower range => 460+360 = 820 (No closest: 800)

Not sufficient

(2) Y < 400
Now,
450<X<550 and 350<Y<400

Higher range =>540+390 = 930 (No closest: 900)
Lower range =>460+360 = 820 (No closest: 800 )

Not sufficient

(1) + (2) combined.
Now,
450<X<500 and 350<Y<400

Higher range =>490+390 = 880 (No closest: 900)
Lower range =>460+360 = 820 (No closest: 800 )

Not sufficient

Ans: E
_________________

Intern
Joined: 24 Sep 2013
Posts: 8
If 500 is the multiple of 100 that is closest to X and 400  [#permalink]

### Show Tags

16 Nov 2014, 05:50
I am thoroughly confused, here it says that "500 is a multiple of 100" a "100 that is closest to X"

X can be definitely between 350-450, but why cannot it be between, 50-150 , since closest 100 would be 100, which is a factor of 500. ??

VeritasPrepKarishma Bunuel

gmatbull wrote:
If 500 is the multiple of 100 that is closest to X and 400 is the multiple of 100 closest to Y, then which multiple of 100 closest to X + Y?

(1) X < 500

(2) Y < 400

Above is a GMATPREP2 question. One solution says:
"since the numbers don't have to be integers, you have
1. 450 < x < 550 (excluding BOTH endpoints) - note that x could be 450.00001 or 549.99999
2. 350 < y < 450 (again excluding both endpoints)..."

If x < 500 and 500 is the multiple of 100 closest to it, i think the condition
450 <= x < 550 would suffice - after all, 450 to the nearest 100 = 500?
Same issue applicable to 350 < y < 450 should be 350 <= y < 450

Kindly respond please. (N.B: I've tried a search on the topic but the response returned 2081 results!!)
If 500 is the multiple of 100 that is closest to X and 400 &nbs [#permalink] 16 Nov 2014, 05:50

Go to page    1   2    Next  [ 25 posts ]

Display posts from previous: Sort by