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# If the range of set A is 5 and the range of set B is 11, which of the

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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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, 00:35
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[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 $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Director Joined: 06 Jan 2015 Posts: 689 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] ### Show Tags 06 Aug 2018, 00:55 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 _________________ आत्मनॊ मोक्षार्थम् जगद्धिताय च Resource: GMATPrep RCs With Solution VP Status: Learning stage Joined: 01 Oct 2017 Posts: 1019 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, 01:07 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) _________________ Regards, PKN Rise above the storm, you will find the sunshine Intern Joined: 13 Aug 2017 Posts: 25 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, 01:18 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 VP Status: Learning stage Joined: 01 Oct 2017 Posts: 1019 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, 01:27 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: 8001 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, 02:11 => 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. Therefore, A is the answer. Answer: A _________________ 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$79 for 1 month Online Course"
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Re: If the range of set A is 5 and the range of set B is 11, which of the   [#permalink] 08 Aug 2018, 02:11
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