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# If p and q are consecutive even integers and p < q, which of the follo

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Math Expert
Joined: 02 Sep 2009
Posts: 50585
If p and q are consecutive even integers and p < q, which of the follo  [#permalink]

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08 Nov 2018, 02:01
00:00

Difficulty:

85% (hard)

Question Stats:

39% (01:47) correct 61% (01:37) wrong based on 54 sessions

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If p and q are consecutive even integers and p < q, which of the following must be divisible by 3 ?

A. $$p^2 + pq$$

B. $$pq^2 + pq$$

C. $$p^2q – pq$$

D. $$p^2q^2$$

E. $$pq^2 – pq$$

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Re: If p and q are consecutive even integers and p < q, which of the follo  [#permalink]

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08 Nov 2018, 02:24
If p and q are consecutive even integers and p < q, which of the following must be divisible by 3 ?

A. p2+pqp2+pq

B. pq2+pqpq2+pq

C. p2q–pqp2q–pq

D. p2q2p2q2

E. pq2–pqpq2–pq

Substitute 2 and 4 for even integers, B, C, D can be ruled out.
check again for 4 & 6, only E will suffice the condition.

ans. E
Intern
Joined: 27 Jun 2015
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Re: If p and q are consecutive even integers and p < q, which of the follo  [#permalink]

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08 Nov 2018, 02:42
By substituting p as 2 and q as 4 answer can be find out

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Re: If p and q are consecutive even integers and p < q, which of the follo  [#permalink]

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09 Nov 2018, 05:16
If p and q are consecutive even integers and p < q, which of the following must be divisible by 3 ?

A. p2+pqp2+pq

B. pq2+pqpq2+pq

C. p2q–pqp2q–pq

D. p2q2p2q2

E. pq2–pq

Upon checking with values of p =2 and q=4 we get option E to satisfy the relation to proof..
Re: If p and q are consecutive even integers and p < q, which of the follo &nbs [#permalink] 09 Nov 2018, 05:16
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