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If set S consists of the positive integers w, x, y, and z, [#permalink]

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01 Jun 2011, 18:52

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

50% (01:51) correct
50% (00:54) wrong based on 23 sessions

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If set S consists of the positive integers w, x, y, and z, is the range of the numbers in S greater than 6 ? (1) No two numbers in set S are consecutive. (2) None of the numbers in set S are multiples of 3.

OA is C. However, the question does not specify that the 4 numbers are different. What if the numbers are w=x=y=z=10. The range will be 0 in that case and the ans will be E. Can someone please clarify why we need to assume that the numbers could not be equal?

(1) No two numbers in set S are consecutive. number could be 1,3,5,7 or 1,3,5,8 so the range could be either 6 or greater than 6. not sufficient.

(2) None of the numbers in set S are multiples of 3. numbers in the set could be 1,2,4,5 or 1,2,4,8 so the range could be 6 or greater than 6 not sufficient.

combining both - 1,4,7,10 or it could be -2, 0, 2, 4 so the range could be 6 or greater than 6 not sufficient.

OA is C. However, the question does not specify that the 4 numbers are different. What if the numbers are w=x=y=z=10. The range will be 0 in that case and the ans will be E. Can someone please clarify why we need to assume that the numbers could not be equal?

Good point. The word "different" should be used in the question. Please notify the source.
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OA is C. However, the question does not specify that the 4 numbers are different. What if the numbers are w=x=y=z=10. The range will be 0 in that case and the ans will be E. Can someone please clarify why we need to assume that the numbers could not be equal?

usually, in such type of questions when integers defined as \(x, y, z\), it is assumed they are not equal.

Can someone explain to me why the values chosen by anyone here contain only integers from 1-8.. Can't it be any other value for example 5, 11, 17, 23? In this case range would be 18 right so C, sufficient!?

@l0rrie, if all the integers are same (which is possible as per the wording of the question), then the range = 0, so answer is not C.
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