It is currently 21 Oct 2017, 18:36

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# m01 #8

Author Message
Manager
Joined: 05 Feb 2007
Posts: 139

Kudos [?]: 8 [0], given: 7

### Show Tags

14 Dec 2008, 20:28
3
This post was
BOOKMARKED
Which expression has the greatest value?

(A) $$1^{999}$$
(B) $$2^{300}$$
(C) $$3^{200}$$
(D) $$4^{100}$$
(E) $$16^{50}$$

[Reveal] Spoiler: OA
C

Source: GMAT Club Tests - hardest GMAT questions

Kudos [?]: 8 [0], given: 7

Intern
Joined: 15 Dec 2008
Posts: 37

Kudos [?]: 18 [7], given: 0

### Show Tags

18 Dec 2008, 04:59
7
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

Kudos [?]: 18 [7], given: 0

Intern
Joined: 24 Jul 2008
Posts: 1

Kudos [?]: 5 [4], given: 0

### Show Tags

14 Dec 2008, 22:41
4
KUDOS
1
This post was
BOOKMARKED
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.

Kudos [?]: 5 [4], given: 0

Intern
Joined: 10 Mar 2013
Posts: 10

Kudos [?]: -25 [3], given: 1

### Show Tags

12 Mar 2013, 05:08
3
KUDOS
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

Kudos [?]: -25 [3], given: 1

SVP
Joined: 29 Aug 2007
Posts: 2472

Kudos [?]: 843 [2], given: 19

### Show Tags

17 Dec 2008, 20:54
2
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)^50

2^300 < 3^200
_________________

Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

GT

Kudos [?]: 843 [2], given: 19

Director
Joined: 29 Aug 2005
Posts: 855

Kudos [?]: 489 [1], given: 7

### Show Tags

05 Feb 2009, 15:59
1
KUDOS
C. I think you should take the nth root (say, ^100) of all numbers.
9>8>4=4>1

Kudos [?]: 489 [1], given: 7

Intern
Joined: 12 Feb 2009
Posts: 1

Kudos [?]: 1 [1], given: 0

Location: DC
Schools: N/A

### Show Tags

12 Feb 2009, 11:25
1
KUDOS
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

Kudos [?]: 1 [1], given: 0

Senior Manager
Joined: 01 Feb 2010
Posts: 251

Kudos [?]: 61 [0], given: 2

### Show Tags

15 Mar 2010, 05:22
giantSwan wrote:
Which expression has the greatest value?

(A) $$1^{999}$$
(B) $$2^{300}$$
(C) $$3^{200}$$
(D) $$4^{100}$$
(E) $$16^{50}$$

[Reveal] Spoiler: OA
C

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.

Kudos [?]: 61 [0], given: 2

CIO
Joined: 02 Oct 2007
Posts: 1218

Kudos [?]: 979 [0], given: 334

### Show Tags

15 Mar 2010, 05:55
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.

_________________

Welcome to GMAT Club!

Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
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.

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 979 [0], given: 334

Senior Manager
Joined: 01 Feb 2010
Posts: 251

Kudos [?]: 61 [0], given: 2

### Show Tags

15 Mar 2010, 07:57
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.

Thanks for correcting the mistake.

Kudos [?]: 61 [0], given: 2

Manager
Joined: 28 Apr 2011
Posts: 177

Kudos [?]: 10 [0], given: 6

### Show Tags

26 Mar 2012, 02:07
Its between B & C
just take random case
2^3 and 3^2
and you get answer........c it is

Kudos [?]: 10 [0], given: 6

Manager
Status: I will not stop until i realise my goal which is my dream too
Joined: 25 Feb 2010
Posts: 223

Kudos [?]: 62 [0], given: 16

Schools: Johnson '15

### Show Tags

26 Mar 2012, 06:55
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

Kudos [?]: 62 [0], given: 16

Manager
Joined: 12 Dec 2012
Posts: 226

Kudos [?]: 99 [0], given: 181

GMAT 1: 540 Q36 V28
GMAT 2: 550 Q39 V27
GMAT 3: 620 Q42 V33
GPA: 2.82
WE: Human Resources (Health Care)

### Show Tags

22 Mar 2013, 06:06
C , with factorizing them all to 2s and 3s
_________________

My RC Recipe
http://gmatclub.com/forum/the-rc-recipe-149577.html

My Problem Takeaway Template
http://gmatclub.com/forum/the-simplest-problem-takeaway-template-150646.html

Kudos [?]: 99 [0], given: 181

Verbal Forum Moderator
Joined: 16 Jun 2012
Posts: 1127

Kudos [?]: 3480 [0], given: 123

Location: United States

### Show Tags

24 Mar 2013, 23:33
giantSwan wrote:
Which expression has the greatest value?

(A) $$1^{999}$$
(B) $$2^{300}$$
(C) $$3^{200}$$
(D) $$4^{100}$$
(E) $$16^{50}$$

[Reveal] Spoiler: OA
C

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.

"Designing cars consumes you; it has a hold on your spirit which is incredibly powerful. It's not something you can do part time, you have do it with all your heart and soul or you're going to get it wrong."

Chris Bangle - Former BMW Chief of Design.

Kudos [?]: 3480 [0], given: 123

Manager
Joined: 15 Aug 2012
Posts: 110

Kudos [?]: 47 [0], given: 22

Location: India
Concentration: Technology, Strategy
Schools: Merage '15 (A)
GPA: 3.6
WE: Consulting (Computer Software)

### Show Tags

18 Apr 2013, 01:40
Which expression has the greatest value?

(A) 1
(B) 8^100
(C) 9^100
(D) 2^200
(E) 2^200

Hence C

Kudos [?]: 47 [0], given: 22

Re: m01 #8   [#permalink] 18 Apr 2013, 01:40
Display posts from previous: Sort by

# m01 #8

Moderator: Bunuel

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.