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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
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
06 Aug 2018, 00:55
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MathRevolution
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
06 Aug 2018, 01:07
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MathRevolution
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)
