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If k=x/5^az^by^c, and k is expressed as a decimal, will that decimal t 30 Apr 2016, 03:42
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If \(k=\frac{x}{5^az^by^c}\), and k is expressed as a decimal, will that decimal terminate?

(1) y = 3
(2) z = 2
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E
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If k=x/5^az^by^c, and k is expressed as a decimal, will that decimal t 30 Apr 2016, 05:10
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Bunuel
If \(k=\frac{x}{5^az^by^c}\), and k is expressed as a decimal, will that decimal terminate?

(1) y = 3
(2) z = 2
Show more

I will go with C since...any number if it has dr in the form 2^a*5^b results in terminating decimal.
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If k=x/5^az^by^c, and k is expressed as a decimal, will that decimal t 30 Apr 2016, 05:16
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Balajikarthick1990
Bunuel
If \(k=\frac{x}{5^az^by^c}\), and k is expressed as a decimal, will that decimal terminate?

(1) y = 3
(2) z = 2

I will go with C since...any number if it has dr in the form 2^a*5^b results in terminating decimal.BUT THERE IS A 3 IN DR
Show more

Always be careful, when we do not know anything about the variables..
combined...
we do not know anything about x, a,b, or c.. if any of them is 0 or fraction or -ive..
Insuff
E
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If k=x/5^az^by^c, and k is expressed as a decimal, will that decimal t 30 Apr 2016, 13:25
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[quote="Bunuel"]If \(k=\frac{x}{5^az^by^c}\), and k is expressed as a decimal, will that decimal terminate?

(1) y = 3
(2) z = 2

I think the answer should be A because if any fraction having 3 in its denominator. That should be non terminating.
I can be wrong also but i will go with A.
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If k=x/5^az^by^c, and k is expressed as a decimal, will that decimal t 30 Apr 2016, 13:42
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Completely agree with chetan2u

The answer has to be (E) , you simply can not solve this problem without knowing the other variables...
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If k=x/5^az^by^c, and k is expressed as a decimal, will that decimal t 30 Apr 2016, 13:53
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[quote="Abhishek009"]Completely agree with chetan2u

[b][color=#ed1c24]The answer has to be (E) , you simply can not solve this problem without knowing the other variables...
[/colorHimanshu

but it is given in the question that k is expressed as a decimal
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If k=x/5^az^by^c, and k is expressed as a decimal, will that decimal t 30 Apr 2016, 14:04
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Himanshu9818


but it is given in the question that k is expressed as a decimal
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Have a look at this discussion here about terminating decimals :

https://gmatclub.com/blog/2012/04/gmat-m ... -decimals/

Further as per your last

Quote:
if any fraction having 3 in its denominator.
Show more

You have assumed that since the denominator has 3 , it will be a terminating decimal, thats true but not always..

Consider it this way -

12/3 =4 { Terminating whole number }

1/3 = 0.3333 { Non Terminating decimal }

Here in this case we need to have the value of denominator as well as the numerator....

Say x = 9 , y = 3 {as given in option 1} and c = 2

The we can have a terminating decimal...

Hope it helps !!
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If k=x/5^az^by^c, and k is expressed as a decimal, will that decimal t 30 Apr 2016, 19:41
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Himanshu9818
Bunuel
If \(k=\frac{x}{5^az^by^c}\), and k is expressed as a decimal, will that decimal terminate?

(1) y = 3
(2) z = 2

I think the answer should be A because if any fraction having 3 in its denominator. That should be non terminating.
I can be wrong also but i will go with A.
Show more

Yes if a 3 is in denomnator, answer should be a non terminating decimal, BUT the fraction has to be in simplest form..
examples
\(k=\frac{x}{5^az^by^c}\)..
a) x= 9, c=2..
\(k=\frac{9}{5^az^b3^2}\) = \(k=\frac{1}{5^az^b}\).. so 3 is cancelled out. we do ot know what z is. so CAN'T say..
b) x=12, c=2
\(k=\frac{12}{5^az^b3^2}\) = \(k=\frac{4}{5^az^b*3}\).. so 3 isin denominator. again MAY be, But if z is 1/3 and b=1...NO
you can actually make so many combinations of these variables..
Neither it is given that these are Integers or Fraction ; -ive or +ive
Clearly Insuff
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If k=x/5^az^by^c, and k is expressed as a decimal, will that decimal t 05 Mar 2025, 23:27
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Terminating decimals
The question never says they are integers. If the prime factors are 2, 5, or 2 and 5, then it will terminate.

1) y = 3, if z = 1/3 (assume a,b,c = 1), then it terminates. If y = 3, z = 1, then it does not terminate.
similar logic for statement 2).
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