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• ### $450 Tuition Credit & Official CAT Packs FREE December 15, 2018 December 15, 2018 10:00 PM PST 11:00 PM PST Get the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) # If the range of set A is 5 and the range of set B is 11, which of the  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6639 GMAT 1: 760 Q51 V42 GPA: 3.82 If the range of set A is 5 and the range of set B is 11, which of the [#permalink] ### Show Tags 05 Aug 2018, 23:35 00:00 Difficulty: 15% (low) Question Stats: 86% (00:59) correct 14% (01:50) wrong based on 36 sessions ### HideShow timer Statistics [Math Revolution GMAT math practice question] If the range of set A is 5 and the range of set B is 11, which of the following CANNOT be the range of sets A and B combined? A. 10 B. 11 C. 12 D. 13 E. 14 _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Director
Joined: 06 Jan 2015
Posts: 529
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: If the range of set A is 5 and the range of set B is 11, which of the  [#permalink]

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05 Aug 2018, 23:55
MathRevolution wrote:
[Math Revolution GMAT math practice question]

If the range of set A is 5 and the range of set B is 11, which of the following CANNOT be the range of sets A and B combined?

A. 10
B. 11
C. 12
D. 13
E. 14

If the range of set A is 5 Let A= {1, 2, 3, 4, 5, 6,}

If range of set B is 11 B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,}

Only CANNOT be the range is 10, Least can be 11

Hence A
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Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: If the range of set A is 5 and the range of set B is 11, which of the  [#permalink]

### Show Tags

06 Aug 2018, 00:07
1
MathRevolution wrote:
[Math Revolution GMAT math practice question]

If the range of set A is 5 and the range of set B is 11, which of the following CANNOT be the range of sets A and B combined?

A. 10
B. 11
C. 12
D. 13
E. 14

Given range of set A is 5
Given range of set B is 11

Range of $$A\cup\ B$$ is always greater than or equal to the range of the set with greater range.

So, Range($$A\cup\ B$$)$$\geq{Range(B)$$.
Or, Range($$A\cup\ B$$)$$\geq{11}$$.

Ans. (A)
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PKN

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Intern
Joined: 13 Aug 2017
Posts: 6
Re: If the range of set A is 5 and the range of set B is 11, which of the  [#permalink]

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06 Aug 2018, 00:18
NandishSS wrote:
MathRevolution wrote:
[Math Revolution GMAT math practice question]

If the range of set A is 5 and the range of set B is 11, which of the following CANNOT be the range of sets A and B combined?

A. 10
B. 11
C. 12
D. 13
E. 14

If the range of set A is 5 Let A= {1, 2, 3, 4, 5, 6,}

If range of set B is 11 B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,}

Only CANNOT be the range is 10, Least can be 11

Hence A
What if 0 is an element of one of the sets? Then 10 is also possible
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: If the range of set A is 5 and the range of set B is 11, which of the  [#permalink]

### Show Tags

06 Aug 2018, 00:27
kaushal25 wrote:
NandishSS wrote:
MathRevolution wrote:
[Math Revolution GMAT math practice question]

If the range of set A is 5 and the range of set B is 11, which of the following CANNOT be the range of sets A and B combined?

A. 10
B. 11
C. 12
D. 13
E. 14

If the range of set A is 5 Let A= {1, 2, 3, 4, 5, 6,}

If range of set B is 11 B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,}

Only CANNOT be the range is 10, Least can be 11

Hence A
What if 0 is an element of one of the sets? Then 10 is also possible

Could you please show the two sets A and B?
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6639
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: If the range of set A is 5 and the range of set B is 11, which of the  [#permalink]

### Show Tags

08 Aug 2018, 01:11
=>

For example, if A = {0,5} and B = { 0, 11 }, then the set A is included in the set B and the smallest possible range of the sets A and B combined is 11, which is the range of the set B.
Thus, any number less than 11 cannot be the range of sets A and B, combined.

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The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
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Re: If the range of set A is 5 and the range of set B is 11, which of the &nbs [#permalink] 08 Aug 2018, 01:11
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