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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
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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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[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

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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]

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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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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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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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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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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
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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]

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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?
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PKN

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Math Revolution GMAT Instructor V
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]

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=>

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.
_________________ 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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