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

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Intern
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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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New post 25 Nov 2019, 01:47
2
00:00
A
B
C
D
E

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

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