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# Is x = y?

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Updated on: 17 Aug 2015, 01:51
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Question Stats:

50% (00:57) correct 50% (01:00) wrong based on 149 sessions

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Is x = y?

(1) ax = ay
(2) a^2x = a^2y

Originally posted by kamathimanshu on 17 Aug 2015, 01:44.
Last edited by Bunuel on 17 Aug 2015, 01:51, edited 1 time in total.
Edited the question and tags.
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Re: Is x = y?  [#permalink]

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17 Aug 2015, 01:53
2
2
kamathimanshu wrote:
Is x = y?

(1) ax = ay
(2) a^2x = a^2y

The answer is an easy E. If a = 0, then x can be equal as well as not equal y.

Similar question to practice: is-x-y-1-ax-ay-2-a-2-x-a-2-y-82210.html
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Re: Is x = y?  [#permalink]

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05 Apr 2017, 11:01
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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05 Apr 2017, 11:23
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.

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Re: Is x = y?  [#permalink]

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05 Apr 2017, 11:28
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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05 Apr 2017, 11:42
2
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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05 Apr 2017, 11:50
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 !?
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Re: Is x = y?  [#permalink]

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24 Jun 2018, 09:53
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Re: Is x = y? &nbs [#permalink] 24 Jun 2018, 09:53
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