DS Tough

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DS Tough

by mundasingh123 » Wed Aug 24, 2011 1:02 pm
Is ( (4^x)^ (5-3x))= 1?

(1) x is an integer.

(2) The product of x and positive integer y is not x.
Last edited by mundasingh123 on Wed Aug 24, 2011 1:34 pm, edited 1 time in total.
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by arashyazdiha » Wed Aug 24, 2011 1:17 pm
Is it all???

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by mundasingh123 » Wed Aug 24, 2011 1:33 pm
arashyazdiha wrote:Is it all???
what is all ??
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by arashyazdiha » Wed Aug 24, 2011 1:35 pm
I mean I can't see what the question is asking, I think something is missing? can you check it please?
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by mundasingh123 » Wed Aug 24, 2011 1:38 pm
arashyazdiha wrote:I mean I can't see what the question is asking, I think something is missing? can you check it please?
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I edited the post
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by arashyazdiha » Wed Aug 24, 2011 2:01 pm
You should only answer whether X is zero or not. or x is 5/3 or not
1) is in insufficient, it doesn't give any specific info other than x is not 5/3, but we can't conclude that x is whether zero or not.
2)it means that it is neither zero nor 1.
suppose y is 1 then every number multiplied by that is x, so we are sure that y is not 1.
if y was a number different from 1 then x must be zero in order for the statement to be zero. so this one yields that x is not zero.
And if x is not zero. then the whole statement above is not zero so Statement 2 alone is sufficient

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by mundasingh123 » Wed Aug 24, 2011 2:02 pm
Okies i got the solution it is C
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by arashyazdiha » Wed Aug 24, 2011 2:07 pm
oh, that's right i did not pay attention to the part that x cannot be 5/3 because of statement 1.
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by GMATGuruNY » Wed Aug 24, 2011 2:10 pm
mundasingh123 wrote:Is ( (4^x)^ (5-3x))= 1?

(1) x is an integer.

(2) The product of x and positive integer y is not x.
In order for it to be true that (4^x)^(5x-3) = 1, either x=0 or 5x-3=0.
If 5x-3=0, then x = 3/5.

Question rephrased: Does x=0 or x=3/5?

Statement 1: x is an integer.
Thus, x≠3/5.
Since it's possible that x=0 or many other values, insufficient.

Statement 2: The product of x and positive integer y is not x.
xy ≠ x.
Thus, x≠0.
Since it's possible that x=3/5 or many other values, insufficient.

Statements 1 and 2 combined:
x≠3/5 and x≠0.
Sufficient.

The correct answer is C.
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by navami » Thu Aug 25, 2011 4:04 am
C.
1) X is integer. this means (5-3x) cannot be zero.
2) says x Not equal to zero.

combining we can say

( (4^x)^ (5-3x)) not equal to 1
This time no looking back!!!
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by czarczar » Fri Aug 26, 2011 6:29 am
C only.

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by prateek_guy2004 » Fri Aug 26, 2011 7:56 am
Is ( (4^x)^ (5-3x))= 1?

(1) x is an integer.

(2) The product of x and positive integer y is not x.

after evaluating both the statements .....1 value can not be determined so both are insufficient ..
statement C is sufficient.

The correct answer is C.