BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Question from GMATprep software: DS : Numbers

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 170
Joined: Wed Jun 10, 2009 5:59 am
Thanked: 13 times

Question from GMATprep software: DS : Numbers

by iamseer » Thu Apr 22, 2010 11:11 am
If 500 is multiple of 100 that is closest to x and 400 is the multiple of 100 closest to y, which multiple of 100 is closest to x+y?
1. x<500
2. y<400

To be very frank I don't quite get what is being said in the question and hence don't understand what is being asked.

Please help with answer explanation.
Many thanks.
"Choose to chance the rapids and dance the tides"
Top
Source: — Data Sufficiency |
Newbie | Next Rank: 10 Posts
Posts: 9
Joined: Wed Mar 24, 2010 4:51 am
Thanked: 1 times

by meghash3 » Thu Apr 22, 2010 11:42 am
Ans: BOth statements together sufficient, niether individually.

Expln. : It is said 500 is closest to a multiple of 100 - Y and similarly for 400 & x too

stmt 1 & 2 give us that X & Y < 500 and 400 resptly.

now multiple of 100 < 500 is 400 and < 400 is 300.

thus 700 is the multiple of 100, x+y is closest to, thus both together suff.
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 170
Joined: Wed Jun 10, 2009 5:59 am
Thanked: 13 times

by iamseer » Thu Apr 22, 2010 11:54 am
thanks for the quick reply meghash3. Your reply lighted the bulb in my head :) The correct answer is E. (Source: GMATprep)

I felt it but couldn't reason it. But with the help of your post now I have an explanation.

from Q stem:
450<x<550 and
350<y<450

From 1:
x<500. Therefore 450<x<500. No info of y. INSUFFICIENT

From 2:
y<400. Therefore 350<y<400. No info of x. INSUFFICIENT

Combining 1 and 2:

450<x<500 and 350<y<450, therefore
800<x+y<900. We don't know whether x+y is close to 800 or 900 so answer is E.

let me know your thoughts.
Thanks again.
"Choose to chance the rapids and dance the tides"
Top
Junior | Next Rank: 30 Posts
Posts: 26
Joined: Mon Nov 17, 2008 9:07 pm
Thanked: 3 times

by el_torero » Thu Apr 22, 2010 12:52 pm
My answer is E.

Lets looks at the statements:

(1) x < 500

This means 500 is closest to x < 500. Which can either be 499, or 451 (I chose extreme cases as an example). Note that 450 would make the question ambiguous since is 500 closest to 450, or 400? Also note anything less than 450 can't be considered because then our multiple of 100 closest to x would be 400.

Well, y can be anything so (1) is INSUFF.


(2) y < 400

Same logic. Pick 399, 351. Either way, (2) is still INSUFF

Both:
Using those values we chose above, x + y could equal 898, 850, or 802. Which means multiple of 100 could be 900, or 800. INSUFF.
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 435
Joined: Mon Mar 15, 2010 6:15 am
Thanked: 32 times
Followed by:1 members

by eaakbari » Thu Apr 22, 2010 8:22 pm
iamseer wrote:thanks for the quick reply meghash3. Your reply lighted the bulb in my head :) The correct answer is E. (Source: GMATprep)

I felt it but couldn't reason it. But with the help of your post now I have an explanation.

from Q stem:
450<x<550 and
350<y<450

From 1:
x<500. Therefore 450<x<500. No info of y. INSUFFICIENT

From 2:
y<400. Therefore 350<y<400. No info of x. INSUFFICIENT

Combining 1 and 2:

450<x<500 and 350<y<450, therefore
800<x+y<900. We don't know whether x+y is close to 800 or 900 so answer is E.

let me know your thoughts.
Thanks again.
This is the correct way to go about it. Answer is E
Whether you think you can or can't, you're right.
- Henry Ford
Top
Post new topic Post Reply
• Page 1 of 1