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Is x = y?

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Is x = y? [#permalink]

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New post 17 Aug 2015, 00:44
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Difficulty:

  45% (medium)

Question Stats:

50% (00:42) correct 50% (00:45) wrong based on 111 sessions

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Is x = y?

(1) ax = ay
(2) a^2x = a^2y
[Reveal] Spoiler: OA

Last edited by Bunuel on 17 Aug 2015, 00:51, edited 1 time in total.
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Re: Is x = y? [#permalink]

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New post 17 Aug 2015, 00:53
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Re: Is x = y? [#permalink]

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New post 05 Apr 2017, 10:01
sorry but can you explain me deeply I didn't get it sir ?
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Re: Is x = y? [#permalink]

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New post 05 Apr 2017, 10:23
mkumar26 wrote:
sorry but can you explain me deeply I didn't get it sir ?


stmt-1:

ax = ay
ax-ay = 0
a(x-y) = 0

either a=0 or x=y or both x=y & a=0 could be true. hence we do not know if x=y or not.

stmt-2:
a^2x = a^2y
a^2x - a^2y = 0
a^2 (x-y) = 0
either a=0 or x=y or both x=y & a=0 could be true. hence we do not know if x=y or not.

as both the statements are giving same options to consider but no concrete answer. hence insifficient.

Answer is E.
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Re: Is x = y? [#permalink]

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New post 05 Apr 2017, 10:28
why we take a=0 even we need only x=y so why not option c ?
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Re: Is x = y? [#permalink]

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New post 05 Apr 2017, 10:42
mkumar26 wrote:
why we take a=0 even we need only x=y so why not option c ?


stmt-1:
a (x-y) = 0 Consider the values for which this statement is correct.

If a = 5 and x=y then we say YES X=Y is the answer.
If a = 0 and x=4,y=2 then then 0*2 = 0. in this case X not equal Y. then we say NO X NOT EQUAL Y.

If you get both YES and NO as the answer from one statement then that statement is insufficient.

stmt-2:
a^2 (x-y) = 0 Consider the values for which this statement is correct.
If a = 5 and x=y then we say YES X=Y is the answer.
If a = 0 and x=4,y=2 then then 0*2 = 0. in this case X not equal Y. then we say NO X NOT EQUAL Y.

combine both
a (x-y) = 0
a^2 (x-y) = 0

If a = 5 and x=y then we say YES X=Y is the answer.
If a = 0 and x=4,y=2 then then 0*2 = 0. in this case X not equal Y. then we say NO X NOT EQUAL Y.

Now even after combining the statements you get BOTH YES & NO as the answer. hence answer cannot be C.

Let me know if this is still not clear. Happy to help :)
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Re: Is x = y? [#permalink]

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New post 05 Apr 2017, 10:50
sorry HKD1710 I still didn't get it !
when we put a=5 then x=y and x=0 then also both side equal x=4 y=2,0*2=0,and 0*4=0 !?
Re: Is x = y?   [#permalink] 05 Apr 2017, 10:50
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