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# If p and q are different integers and px=qx, which of the following co

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Intern
Joined: 17 Jul 2019
Posts: 2
If p and q are different integers and px=qx, which of the following co  [#permalink]

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25 Nov 2019, 01:47
2
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Difficulty:

45% (medium)

Question Stats:

43% (00:56) correct 57% (00:59) wrong based on 30 sessions

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If p and q are different integers and $$px=qx$$, which of the following could be true?

I. $$X = 0$$
II. $$Q = 0$$
III. $$P = Q$$

A) I only
B) II only
C) I and II only
D) I and III only
E) I, II and III only
Director
Joined: 27 May 2012
Posts: 945
If p and q are different integers and px=qx, which of the following co  [#permalink]

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25 Nov 2019, 04:30
2
rheam25 wrote:
If p and q are different integers and $$px=qx$$, which of the following could be true?

I. $$X = 0$$
II. $$Q = 0$$
III. $$P = Q$$

A) I only
B) II only
C) I and II only
D) I and III only
E) I, II and III only

Can be rewritten as $$px-qx$$=0
$$x(p-q)$$=0
either $$x=0$$ or $$p=q$$, but it is given that p$$\neq$$ q hence $$x=0$$
Once $$x=0$$ then $$p$$ and $$q$$ can take any values as long as they are not equal , hence Q=0 is possible and $$p=q$$ is not possible. Thus only I and II are possible.

Ans - C
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- Stne
If p and q are different integers and px=qx, which of the following co   [#permalink] 25 Nov 2019, 04:30
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