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Senior Manager
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Is 5^k less than 1,000 ? (1) 5^(k-1) > 3,000 (2) 5^(k-1) [#permalink]
 06 Oct 2003, 02:08
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20. Is 5^k less than 1,000 ?
(1) 5^(k-1) > 3,000
(2) 5^(k-1) = 5^k - 500
i din't like the official answer... 
please explain
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CEO
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Vicky wrote: 20. Is 5^k less than 1,000 ? (1) 5^(k-1) > 3,000 (2) 5^(k-1) = 5^k - 500 i din't like the official answer... please explain 1. 5^k > 15000 ..sufficient
2. 5^k = 2500/4 ...sufficient
D.
I get a NO with 1. and a YES with 2. this is unusual.. what did i miss?
thanks
praetorian
Yeah... the sets are mutually exclusive. A correct problem, if it has D as the right answer, gives the same answer in both cases.
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Intern
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How did you get the 2. 5^k = 2500/4 ...sufficient ?
can you explain.
my reasoning from the second statement is
5^k-1 - 5^k = 1000....therefore 5^k can be any value...
not sure ...
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Manager
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praetorian123 wrote: Vicky wrote: 20. Is 5^k less than 1,000 ? (1) 5^(k-1) > 3,000 (2) 5^(k-1) = 5^k - 500 i din't like the official answer... please explain 1. 5^k > 15000 ..sufficient 2. 5^k = 2500/4 ...sufficient D. I get a NO with 1. and a YES with 2. this is unusual.. what did i miss? thanks praetorian Agree. I had the same answer. -------- sudzpwc wrote: How did you get the 2. 5^k = 2500/4 ...sufficient ?
can you explain.
my reasoning from the second statement is
5^k-1 - 5^k = 1000....therefore 5^k can be any value...
not sure ...
How do you get 5^k-1 - 5^k = 1000? When it's clearly not possible when you look at the statement (2).
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Intern
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Sud,
if you replace 5^k with x,
then you can see that x/5 = x-500
=> x = 2500/4 =625=5^k
=>k=4
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Senior Manager
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OR
5^k-1 = 5^k - 500
(5^k)/5 = 5^k - 500
5^k = 5(5^k - 500)
2500 = 5^k(5-1)
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Intern
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5^k-1 = 5^k - 500
(5^k)/5 = 5^k - 500
5^k = 5(5^k - 500)
2500 = 5^k(5-1)
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Intern
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5^k-1 = 5^k - 500
(5^k)/5 = 5^k - 500
5^k = 5(5^k - 500)
2500 = 5^k(5-1)
I guess so
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Intern
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If x>0, x/50 + x/25 is what percent of x?
A. 6%
B. 25%
C. 37 1/2%
D. 60%
E. 75 %
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Intern
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If x>0, x/50 + x/25 is what percent of x?
A. 6%
B. 25%
C. 37 1/2%
D. 60%
E. 75 %
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Intern
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This is the Question from GMAT Paper Test Series
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close
