Is ( (4^x)^ (5-3x))= 1?
(1) x is an integer.
(2) The product of x and positive integer y is not x.
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Last edited by mundasingh123 on Wed Aug 24, 2011 1:34 pm, edited 1 time in total.
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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 postarashyazdiha 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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- arashyazdiha
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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
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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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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In order for it to be true that (4^x)^(5x-3) = 1, either x=0 or 5x-3=0.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.
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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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.
(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.