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Re: If p and q are consecutive integers, is p a multiple of 3? [#permalink]
01 Mar 2012, 05:18

Not sure what I am getting wrong here.. Isn't the answer supposed to be B? An Yes/No question. According to me P and Q are consecutive and hence the order matters so p,q can be 4,5 or 5,6 or 7,8..... In all these cases P is not a multiple of 3 and hence the answer is NO.

Will wait for the experts though :D _________________

Re: If p and q are consecutive integers, is p a multiple of 3? [#permalink]
01 Mar 2012, 05:23

4

This post received KUDOS

Expert's post

BN1989 wrote:

If p and q are consecutive integers, is p a multiple of 3?

1) q is not a multiple of 3 2) q-1 is not a multiple of 3

In consecutive integer questions like this one, is the order of the variables implied, meaning that p comes before q or could p come after q as well?

No, p and q are consecutive integers does not necessarily means that they are in that order: it could be (p, q=p+1) as well as (q, p=q+1). If it were otherwise then the answer to the question would be B, not E.

If p and q are consecutive integers, is p a multiple of 3?

Out of three consecutive integers one is always multiple of 3. Now, there can be two cases. A. (q-1, q, q+1=p) B. (q-1=p, q, q+1)

(1) q is not a multiple of 3. Not sufficient. (2) q-1 is not a multiple of 3. Not sufficient.

(1)+(2) Now, if we have case A, q-1 is not a multiple of 3 and q is not a multiple of 3, would mean that p=q+1 must be a multiple of 3 BUT if we have case B, then q-1=p and (2) directly says that q-1=p is not a multiple of 3. So, p may or may not be a multiple of 3. Not sufficient,

Re: If p and q are consecutive integers, is p a multiple of 3? [#permalink]
01 Mar 2012, 05:41

Bunuel - Thanks for the explanation.

One question though.

For a question on consecutive integers of a set p,q,r is it necessary for the question to specify p<q<r in order to determine the order of the set? Is this a generic rule? :-0 _________________

Re: If p and q are consecutive integers, is p a multiple of 3? [#permalink]
01 Mar 2012, 05:52

1

This post received KUDOS

Expert's post

ENAFEX wrote:

Bunuel - Thanks for the explanation.

One question though.

For a question on consecutive integers of a set p,q,r is it necessary for the question to specify p<q<r in order to determine the order of the set? Is this a generic rule? :-0

Yes, if we are told that p, q, and r are consecutive integers and the stem wants us to consider them in that order it would specify that p<q<r. _________________

Re: If p and q are consecutive integers, is p a multiple of 3? [#permalink]
17 Dec 2013, 11:24

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