|
Author |
Message |
|
Manager
Joined: 05 Feb 2007
Posts: 141
Followers: 1
Kudos [?]:
7
[0], given: 7
|
Which expression has the greatest value? (A) 1^{999}(B) 2^{300}(C) 3^{200}(D) 4^{100}(E) 16^{50}Source: GMAT Club Tests - hardest GMAT questions
|
|
|
|
|
|
|
|
|
Intern
Joined: 24 Jul 2008
Posts: 1
Followers: 0
Kudos [?]:
4
[4] , given: 0
|
4
This post received
KUDOS
A. 1^999 is what it is: 1.
B. 2^300
C. 3^200
D. 4^100: 4 can be written as 2^2. Therefore, the whole thing becomes (2^2)^100=2^200
E. 16^50: 16 can be written as 2^4. Accordingly, (2^4)^50=2^200.
It's either B or C. Logically guessing, if 2^3 is less than 3^2, then 2^300 must be less than 3^200. So I would go for C.
|
|
|
|
|
|
CEO
Joined: 29 Aug 2007
Posts: 2530
Followers: 41
Kudos [?]:
358
[2] , given: 19
|
2
This post received
KUDOS
giantSwan wrote: ->How does this conversion work?
Which expression has the greatest value?
1^999
2^300
3^200
4^100
16^50 Yeah its C. 2^6 < 3^4 raise both side's power to 50
(2^6)^50 < (3^4)^502^300 < 3^200
_________________
Verbal: new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html
GT
|
|
|
|
|
|
Intern
Joined: 15 Dec 2008
Posts: 37
Followers: 1
Kudos [?]:
13
[5] , given: 0
|
5
This post received
KUDOS
I think it can be done in this way -
1^999 = 1
2^300 = (2^3)^100 = 8^100
3^200 = (3^2)^100 = 9^100
4^100 = 4^100
16^50 = (4^2)^50 = 4^100
by the rule a^x > b^x if a>b we can say C i.e. 3^200 is the greatest
|
|
|
|
|
|
Director
Joined: 29 Aug 2005
Posts: 891
Followers: 6
Kudos [?]:
87
[1] , given: 7
|
1
This post received
KUDOS
C. I think you should take the nth root (say, ^100) of all numbers.
9>8>4=4>1
|
|
|
|
|
|
Intern
Joined: 12 Feb 2009
Posts: 1
Location: DC
Schools: N/A
Followers: 0
Kudos [?]:
0
[0], given: 0
|
Simplify?
1^999=1
2^300/100=2^3=8
3^200/100=3^2=9
4^100/100=4^1=4
16^50/100=16^.5=Fraction 1/16
Is my logic correct here? C looks good
|
|
|
|
|
|
Senior Manager
Joined: 01 Feb 2010
Posts: 275
Followers: 1
Kudos [?]:
30
[0], given: 2
|
giantSwan wrote: Which expression has the greatest value? (A) 1^{999}(B) 2^{300}(C) 3^{200}(D) 4^{100}(E) 16^{50}Source: GMAT Club Tests - hardest GMAT questions A is always 1 D & E can be reduced to 2^200 so either B or C. B can be reduced to 2^300 = 4^150 = 8^100 C can be reduced to 3^300 = 9^150 hence C > B. SO answer is C
|
|
|
|
|
|
CIO
Joined: 02 Oct 2007
Posts: 1261
Followers: 75
Kudos [?]:
506
[0], given: 334
|
I think you meant 3^{200} in C. Thus C is reduced to 9^{100}. The answer is still C, I just wanted to make things clearer. bangalorian2000 wrote:
A is always 1
D & E can be reduced to 2^200
so either B or C.
B can be reduced to 2^300 = 4^150 = 8^100
C can be reduced to 3^300 = 9^150
hence C > B.
SO answer is C
_________________
Welcome to GMAT Club! 
   
Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
Please read this before posting in GMAT Club Tests forum
Result correlation between real GMAT and GMAT Club Tests
Are GMAT Club Test sets ordered in any way?
Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas.
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
Senior Manager
Joined: 01 Feb 2010
Posts: 275
Followers: 1
Kudos [?]:
30
[0], given: 2
|
dzyubam wrote: I think you meant 3^{200} in C. Thus C is reduced to 9^{100}. The answer is still C, I just wanted to make things clearer. bangalorian2000 wrote:
A is always 1
D & E can be reduced to 2^200
so either B or C.
B can be reduced to 2^300 = 4^150 = 8^100
C can be reduced to 3^300 = 9^150
hence C > B.
SO answer is C
Thanks for correcting the mistake.
|
|
|
|
|
|
Manager
Joined: 28 Apr 2011
Posts: 188
Followers: 0
Kudos [?]:
3
[0], given: 6
|
Its between B & C
just take random case
2^3 and 3^2
and you get answer........c it is
|
|
|
|
|
|
Manager
Status: I will not stop until i realise my goal which is my dream too
Joined: 25 Feb 2010
Posts: 248
Followers: 2
Kudos [?]:
14
[0], given: 16
|
just expand all the values to be a power of 100 and u will know that C = 9 to the power of 100 and thats the largest
_________________
Regards,
Harsha
Note: Give me kudos if my approach is right , else help me understand where i am missing.. I want to bell the GMAT Cat 
Satyameva Jayate - Truth alone triumphs
|
|
|
|
|
|
Intern
Joined: 10 Mar 2013
Posts: 10
Followers: 0
Kudos [?]:
-25
[0], given: 1
|
A. 1.
B. 2^300 = 8^100
C. 3^200= 9^100
D. 4^100
E. 16^50 = 4^(2*50) = 4^100
Hence ans is C as 9^100 is the greatest
|
|
|
|
|
|
Manager
Joined: 12 Dec 2012
Posts: 209
Concentration: Leadership, Marketing
GMAT 1: 540 Q36 V28
GMAT 2: 550 Q39 V27
GMAT 3: 620 Q42 V33
GPA: 2.82
WE: Human Resources (Health Care)
Followers: 1
Kudos [?]:
25
[0], given: 167
|
|
|
|
|
|
|
Senior Manager
Joined: 16 Jun 2012
Posts: 346
Followers: 1
Kudos [?]:
72
[0], given: 70
|
giantSwan wrote: Which expression has the greatest value? (A) 1^{999}(B) 2^{300}(C) 3^{200}(D) 4^{100}(E) 16^{50}Source: GMAT Club Tests - hardest GMAT questions C is correct. Here is my 2 cents. 1^999 = 1 2^300 = (2^3)^100 = 8^100 3^200 = (3^2)^100 = 9^100 4^100 = (2^2)^100 = 2^200 < 2^300 16^50 = (2^4)^50 = 2^200 < 2^300 So, 3^200 = 9^100 is greatest.
_________________
Please +1 KUDO if my post helps. Thank you.
Choosing correct answers is not as important as explaining why other answers are wrong. Keep learning everyday!
|
|
|
|
|
|
Manager
Joined: 15 Aug 2012
Posts: 50
Location: India
Concentration: Technology, Strategy
GPA: 3.6
WE: General Management (Computer Software)
Followers: 0
Kudos [?]:
7
[0], given: 5
|
Which expression has the greatest value?
(A) 1
(B) 8^100
(C) 9^100
(D) 2^200
(E) 2^200
Hence C
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
close
