Does x = 100? (1) y = x/100*x/100*y (2) x 0

Question

Does  x = 100 ?

(1)  y=\frac{x}{100}*\frac{x}{100}*y

(2)  x > 0

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sargambhir · Accepted Answer

Does x=100x=100?

(1) y=x/100∗x/100∗y - Not sufficient. Because , y may or may not be equal to 0. If y not equal to 0, statement is sufficient . But if y= 0, its not sufficient

(2) x>0- Not sufficient. x maybe any value greater than 0

If we combine both the equations , we still don't know anything about y. C is not sufficient.
Therefore, right answer is E

rajatchopra1994 · Answer

Explanation: Statement1, As we don't know anything about y. it can be any value. Negative, zero or positive. So Not sufficient. Statement X> 0, which is also not sufficient. Combined 1 & 2, Still don't know anything about y Therefore not sufficient.

Please provide kudos, if you find my explanation good enough

avirup2018 · Answer

Why cant we go with plain old technique of cancelling the y to get X^2=10000 i.e X=100 or X= - 100 ------1

and in second equation X>0 when we combine 1+2 we get X= 100 as X>0 and X= 100 or -100

Thus C

LevanKhukhunashvili · Answer

Beware of such canceling techniques.
If y=0 then you are trapped

BelalHossain046 · Answer

Zero is the culprit here.

(100/100)*(100/100)*0=0
(200/100)*(200/100)*0=0

RS81 · Answer

Analyse Statement 1

y(x/100)^2-y=0
y =0
so either y=0 or (x/100)^2-1=0
No clear answer

Lets analyze statement 2 
(2) x>0
it does not give any clear value

combining both also does not give any information of y. y can be 0 and in that case (x/100)^2-1 may or mayn't be 0.

Hence answer option E

pudu · Answer

i, bunel i have a doubt...

1.y(100^2-x^2)=0. so either y=0 or x=|100|. insufficient.
2. X.>0.....insufficient.
1&2 then x>0 and x=+/-100... then why we can't take x=100? then it is sufficient...right? please help me to understand it ...

Nabneet · Answer

HI Pudu,
1&2
If x can be 100 then sufficient.
But y=0, then x can be any value >0.

We get both YES and NO situation, hence INSSUFICIENT.

So, E

Does x = 100? (1) y = x/100x/100y (2) x > 0

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GMAT Data Sufficiency (DS) Questions

Does x = 100? (1) y = x/100*x/100*y (2) x > 0