GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 13 Jul 2020, 19:22

### 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

# n = 2^4*3^2*5^2 and positive integer d is a divisor of n. Is d > n^?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 04 Sep 2017
Posts: 318
n = 2^4*3^2*5^2 and positive integer d is a divisor of n. Is d > n^?  [#permalink]

### Show Tags

21 Sep 2019, 18:31
8
00:00

Difficulty:

45% (medium)

Question Stats:

69% (02:11) correct 31% (02:18) wrong based on 263 sessions

### HideShow timer Statistics

$$n = 2^4*3^2*5^2$$ and positive integer d is a divisor of n. Is $$d > \sqrt{n}$$ ?

(1) d is divisible by 10.
(2) d is divisible by 36.

DS32402.01
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2475
Concentration: Operations, Strategy
Schools: Erasmus
Re: n = 2^4*3^2*5^2 and positive integer d is a divisor of n. Is d > n^?  [#permalink]

### Show Tags

21 Sep 2019, 18:43
1
gmatt1476 wrote:
$$n = 2^4*3^2*5^2$$ and positive integer d is a divisor of n. Is $$d > \sqrt{n}$$ ?

(1) d is divisible by 10.
(2) d is divisible by 36.

DS32402.01

Does this question belong to the new advanced questions by GMAC?
Senior Manager
Joined: 31 May 2018
Posts: 432
Location: United States
Concentration: Finance, Marketing
n = 2^4*3^2*5^2 and positive integer d is a divisor of n. Is d > n^?  [#permalink]

### Show Tags

21 Sep 2019, 23:07
n = $$2^4$$*$$3^2$$*$$5^2$$ and positive integer d is a divisor of n. Is d > $$\sqrt{n}$$

STATEMENT (1)--d is divisible by 10
since d is a divisor of n
a divisor of n divisible by 10 = 10,20.........,100

if d = 10 and $$\sqrt{n}$$ = $$2^2$$*3*5 = 60

then -Is d > $$\sqrt{n}$$?---NO

if d = 100

then -Is d > $$\sqrt{n}$$?---YES

INSUFFICIENT

STATEMENT (2)--d is divisible by 36.
if d = 36

then -Is d > $$\sqrt{n}$$?---NO (since, $$\sqrt{n}$$ = 60 )

if d = 72

then -Is d > $$\sqrt{n}$$?---YES

INSUFFICIENT

combining both statements together
we know that d is divisible by 36 and 10
taking LCM --minimum d that divides n = 180
all other divisors divisible by 36 and 10 will be greater than 180

--Is d > $$\sqrt{n}$$?---YES

SUFFICIENT

C is the correct answer
Senior Manager
Joined: 27 Feb 2014
Posts: 300
Location: India
Concentration: General Management, International Business
GMAT 1: 570 Q49 V20
GPA: 3.97
WE: Engineering (Education)
Re: n = 2^4*3^2*5^2 and positive integer d is a divisor of n. Is d > n^?  [#permalink]

### Show Tags

22 Sep 2019, 00:18
gmatt1476 wrote:
$$n = 2^4*3^2*5^2$$ and positive integer d is a divisor of n. Is $$d > \sqrt{n}$$ ?

(1) d is divisible by 10.
(2) d is divisible by 36.

DS32402.01

Lets rephrase the question, Is d>60?

(1) d can be 10, 20, 30, 60, 90. Not Sufficient.

(2) d can be 36, 90. Not sufficient.

(1)+(2) d is divisible by 10 and 36 both and the smallest number is 180. Sufficient.

C is correct.
_________________
Inspired by great content in some best books on GMAT, I have created my own YouTube channel-QUANT MADE EASY! I would love some support and feedback. Please hit subscribe and check it out!

Intern
Joined: 12 Aug 2018
Posts: 15
Location: India
GMAT 1: 700 Q50 V34
Re: n = 2^4*3^2*5^2 and positive integer d is a divisor of n. Is d > n^?  [#permalink]

### Show Tags

18 Dec 2019, 22:00
Mo2men wrote:
gmatt1476 wrote:
$$n = 2^4*3^2*5^2$$ and positive integer d is a divisor of n. Is $$d > \sqrt{n}$$ ?

(1) d is divisible by 10.
(2) d is divisible by 36.

DS32402.01

Does this question belong to the new advanced questions by GMAC?

Yes. It is Q.38 in the new advanced questions by GMAC
Re: n = 2^4*3^2*5^2 and positive integer d is a divisor of n. Is d > n^?   [#permalink] 18 Dec 2019, 22:00

# n = 2^4*3^2*5^2 and positive integer d is a divisor of n. Is d > n^?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne