It is currently 19 Oct 2017, 22:24

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 June
Open Detailed Calendar

Range of monthly salary in 1999 is 240. Range of monthly

Author Message
CEO
Joined: 15 Aug 2003
Posts: 3454

Kudos [?]: 919 [0], given: 781

Range of monthly salary in 1999 is 240. Range of monthly [#permalink]

Show Tags

29 Sep 2003, 15:47
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Range of monthly salary in 1999 is 240. Range of monthly salary in 2000 is 320. What is the minimal range of the monthly salary in both 1999 and 2000?

Kudos [?]: 919 [0], given: 781

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 303 [0], given: 0

Show Tags

03 Oct 2003, 09:05
to subtract and to sum. It is helpful to draw some chart to understand.

Kudos [?]: 303 [0], given: 0

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 303 [0], given: 0

Show Tags

03 Oct 2003, 22:33
Possible variants:
(1) the two ranges are added R=560
(2) the two ranges intersect 320<R<560
(3) the small range is within the large one R=320
(4) the two ranges have the one common limit OOPS R=320 again

320?

Kudos [?]: 303 [0], given: 0

CEO
Joined: 15 Aug 2003
Posts: 3454

Kudos [?]: 919 [0], given: 781

Show Tags

03 Oct 2003, 23:50
stolyar wrote:
Possible variants:
(1) the two ranges are added R=560
(2) the two ranges intersect 320<R<560
(3) the small range is within the large one R=320
(4) the two ranges have the one common limit OOPS R=320 again

320?

Yes that is correct.

i know some basics, but i just couldnt understand how one gets 320..

Kudos [?]: 919 [0], given: 781

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 303 [0], given: 0

Show Tags

04 Oct 2003, 03:12
My approach:
say we have two sets with ranges of 10 and 20

we get the maximal range when the two ranges are as far as possible. Consider (0...10, R=10) and (100...120, R=20); R common=120

make the common R smaller (one common limit)
consider (0...10, R=10) and (10...30, R=20); R common=30

make it yet smaller (the ranges intesect)
consider (5...15, R=10) and (10...30, R=20); R common=25

make it the smallest (the larger consumes the smaller)
consider (12...22, R=10) and (10...30, R=20); R common=20

This is the minimal range. The common range of two ranges cannot be smaller than the larger one.

Kudos [?]: 303 [0], given: 0

CEO
Joined: 15 Aug 2003
Posts: 3454

Kudos [?]: 919 [0], given: 781

Show Tags

07 Oct 2003, 16:20
stolyar wrote:
My approach:
say we have two sets with ranges of 10 and 20

we get the maximal range when the two ranges are as far as possible. Consider (0...10, R=10) and (100...120, R=20); R common=120

make the common R smaller (one common limit)
consider (0...10, R=10) and (10...30, R=20); R common=30

make it yet smaller (the ranges intesect)
consider (5...15, R=10) and (10...30, R=20); R common=25

make it the smallest (the larger consumes the smaller)
consider (12...22, R=10) and (10...30, R=20); R common=20

This is the minimal range. The common range of two ranges cannot be smaller than the larger one.

This is where i get in trouble... lets say we want to find the MAXIMAL range. I thought pick the lowest in one set and pick the highest in the other set...subtract and the result is the MAXIMAL range...

but turns out i get 320 and thats the minimal range..soooo confusing.

Could you please explain how to get the maximal range?

Does anyone have tough questions on statistics and probability , anyone?

thanks
praetorian

Kudos [?]: 919 [0], given: 781

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 303 [0], given: 0

Show Tags

07 Oct 2003, 22:18
Maximal range in your question is an infinity. The smallest salary can be \$0.000001 and the largest \$100^[100^[100^...100]. The one thing that can be said for sure is that such an infinity is positive. However, negative salary is also possible, say a guy earns penalties only.

Kudos [?]: 303 [0], given: 0

07 Oct 2003, 22:18
Display posts from previous: Sort by
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}