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If y ≠ 0, is x = 1 ? (1) x = y/y (2) x = x
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Updated on: 30 Jun 2019, 03:57
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63% (01:18) correct 37% (01:02) wrong based on 78 sessions
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If \(y ≠ 0\), is x = 1 ? (1) \(x = \frac{y}{y}\) (2) \(x = x\) GMATBuster's Collection
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Originally posted by gmatbusters on 29 Jun 2019, 20:23.
Last edited by Bunuel on 30 Jun 2019, 03:57, edited 1 time in total.
Renamed the topic.



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Re: If y ≠ 0, is x = 1 ? (1) x = y/y (2) x = x
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29 Jun 2019, 22:11
So, the question starts with two variables, x and y both of which don't have any numerical value attached to them. Only y cannot be 0. Solving for 1. X = y/mod(y) Now if y is positive answer is 1 If y is negative answer would be  1 Hence not sufficient. Solving for 2. Here mod(x) =  (x) is only possible when x is any negative number. It's proven that x is negatice but not  1, it could be any negative number. Hence not sufficient. Now solving for both together, we get that x can only be 1 or  1 from the first statement and that x can only be negative from second. Which means x can only be  1. We have our answer, C _____________________ Please give kudos if you liked the answer! Posted from my mobile device



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Re: If y ≠ 0, is x = 1 ? (1) x = y/y (2) x = x
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29 Jun 2019, 22:56
IMO A
x = y/y
when y <0 , we get x = 1
when y y>0 , we get x = 1
so clear anser No
sufficient
statement 2 says x <0 , but can be be anything
so not sufficient
IMO A
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Re: If y ≠ 0, is x = 1 ? (1) x = y/y (2) x = x
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29 Jun 2019, 23:02
m1033512 wrote: IMO A
x = y/y
when y <0 , we get x = 1
when y y>0 , we get x = 1
so clear anser No
sufficient
statement 2 says x <0 , but can be be anything
so not sufficient
IMO A
Posted from my mobile device m1033512 I believe when y<0, x = \(\frac{y}{y}\) would give us 1



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Re: If y ≠ 0, is x = 1 ? (1) x = y/y (2) x = x
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29 Jun 2019, 23:14
we will have both as y in numerator and denomintor both
it will cancel out to 1
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Re: If y ≠ 0, is x = 1 ? (1) x = y/y (2) x = x
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29 Jun 2019, 23:26
m1033512 wrote: we will have both as y in numerator and denomintor both
it will cancel out to 1
Posted from my mobile device m1033512Friend we'll only have y in the denominator, not the numerator. Numberator will stay y(which has been defined as negative by us) for eg: let y be 5 \(\frac{y}{y} = \frac{5}{5}\) =5/5 =1



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Re: If y ≠ 0, is x = 1 ? (1) x = y/y (2) x = x
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29 Jun 2019, 23:48
but I defined two cases for y ( removed the mod)
first
y<0 , then both are negative, and will take the same value so 1
second y > 0 , both are positive and will take the same value so 1
so for any y != 0, we always get 1
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Re: If y ≠ 0, is x = 1 ? (1) x = y/y (2) x = x
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29 Jun 2019, 23:56
m1033512 wrote: but I defined two cases for y ( removed the mod)
first
y<0 , then both are negative, and will take the same value so 1
second y > 0 , both are positive and will take the same value so 1
so for any y != 0, we always get 1
Posted from my mobile device m1033512Friend, I agree that you've defined two cases for y for y > 0 it is clearly 1 but I'm talking about the case where you have taken y < 0 \(\frac{y}{y}\) for any number less than 0 will give us 1 I believe the mistake you're making is while removing mod; I believe you are multiplying both the numerator as well as the denominator with a ve in the process, which you shouldn't as there is only 1 mod that is being removed. Try solving X*Y = Y for any negative Y, it's the same question in different form.



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If y ≠ 0, is x = 1 ? (1) x = y/y (2) x = x
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26 Nov 2019, 21:00
St1: \(x = \frac{y}{y}\) it shows, either x = 1 (when y >0) or 1 (when y <0) Hence, Not SUFFICIENT St2:\(x = x\) It means either x = 0, or x<0 Hence, Not SUFFICIENT Combining St 1 & 2, x =1. SUFFICIENT Answer C gmatbusters wrote: If \(y ≠ 0\), is x = 1 ?
(1) \(x = \frac{y}{y}\)
(2) \(x = x\)
GMATBuster's Collection
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Re: If y ≠ 0, is x = 1 ? (1) x = y/y (2) x = x
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27 Nov 2019, 02:44
gmatbusters wrote: If \(y ≠ 0\), is x = 1 ?
(1) \(x = \frac{y}{y}\)
(2) \(x = x\)
GMATBuster's Collection (1) if y is ve, then x =1 whereas when y is +ve, then x is positive. Insufficient (2) x is a negative number. insufficient (1)+(2) only possible value of x is 1. Sufficient C is correct




Re: If y ≠ 0, is x = 1 ? (1) x = y/y (2) x = x
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27 Nov 2019, 02:44






