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09 Oct 2005, 21:37
Kudos
Bookmarks
Hi,
A while back on dowloaded GMAT Prep tests that someone linked in one of these forums directly from the mba.com website. I took the first test, however it doesn't have answer explanations. Does anyone know where I can get these or can I just start posting the questions here and wait for people to solve them? I don't want to duplicate if they are already posted somewhere.
here's one I guessed right on but don't know how to figure it out:
5^21 * 4^11 = 2 * 10^n
what's the value of n?
a. 11
b. 21
c. 22
d. 23
e. 32
Can you explain how you would solve this?
Thanks!
A while back on dowloaded GMAT Prep tests that someone linked in one of these forums directly from the mba.com website. I took the first test, however it doesn't have answer explanations. Does anyone know where I can get these or can I just start posting the questions here and wait for people to solve them? I don't want to duplicate if they are already posted somewhere.
here's one I guessed right on but don't know how to figure it out:
5^21 * 4^11 = 2 * 10^n
what's the value of n?
a. 11
b. 21
c. 22
d. 23
e. 32
Can you explain how you would solve this?
Thanks!
Archived Topic
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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09 Oct 2005, 21:45
Kudos
Bookmarks
5^21*4^11=2*10^n
5^21*2^22=2*2^n*5^n (4^11=2^(2*11) and 10^n = (5*2)^n=5^n*2^n
5^21*2^22=2^(n+1)*5^n (2*2^n = 2^(n+1)
n=21
alternatively,
LHS = 5^21*4^11=5^21*2^22 = (5*2)^21*2
so we get 2*10^21=2*10^n
n = 21
5^21*2^22=2*2^n*5^n (4^11=2^(2*11) and 10^n = (5*2)^n=5^n*2^n
5^21*2^22=2^(n+1)*5^n (2*2^n = 2^(n+1)
n=21
alternatively,
LHS = 5^21*4^11=5^21*2^22 = (5*2)^21*2
so we get 2*10^21=2*10^n
n = 21
09 Oct 2005, 21:51
Kudos
Bookmarks
B) 21
5^21*4^11 = 2*10^n
5^21*2^22 = 2*2^n*5^n
5^21*2^22 = 2^(n+1)*5^n
For LHS = RHS to hold true,
n=21 (powers of 5 or use powers of 2 => n+1=22 or n=21 again)
5^21*4^11 = 2*10^n
5^21*2^22 = 2*2^n*5^n
5^21*2^22 = 2^(n+1)*5^n
For LHS = RHS to hold true,
n=21 (powers of 5 or use powers of 2 => n+1=22 or n=21 again)
