GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Oct 2019, 00:34 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If n = (2^2)(3^4)(5^6). the value of which of the following products i

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

Hide Tags

Intern  B
Joined: 24 Sep 2016
Posts: 33
Location: United States (CT)
Concentration: Finance, International Business
GPA: 3.81
WE: Analyst (Venture Capital)
If n = (2^2)(3^4)(5^6). the value of which of the following products i  [#permalink]

Show Tags 00:00

Difficulty:   45% (medium)

Question Stats: 62% (01:48) correct 38% (01:41) wrong based on 102 sessions

HideShow timer Statistics

If n = (2^2)(3^4)(5^6). the value of which of the following products is greater than sqrt of n?

I. (2)(3^3)(5^2)
II. 2(3)(5^4)
III. (2^2)(3^2)(5^3)

(A) None
(B) I only
(C) II only
(D) III only
(E) II and III

I understand the question and whats its asking but can someone explain the concept/shortcut of answering these types of questions???

Originally posted by gjonrexha on 29 Dec 2016, 05:46.
Last edited by Bunuel on 29 Dec 2016, 05:50, edited 1 time in total.
Renamed the topic.
Manager  S
Joined: 05 Dec 2016
Posts: 236
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29 Re: If n = (2^2)(3^4)(5^6). the value of which of the following products i  [#permalink]

Show Tags

1. 2*(3^3)*(5^2) < 2*(3^2)*(5^3) since 5>3.
2. 2*3*(5^4) > 2*(3^2)*(5^3) since 5>3
3. (2^2)*(3^2)*(5^3) > 2*(3^2)*(5^3) left side has one more power of 2
Quote:
should be correct one
Current Student S
Status: Preparing for GMAT!!
Joined: 11 Oct 2015
Posts: 126
Location: India
Concentration: Entrepreneurship, International Business
GMAT 1: 660 Q47 V34 GMAT 2: 700 Q48 V38 GPA: 3.1
WE: General Management (Entertainment and Sports)
If n = (2^2)(3^4)(5^6). the value of which of the following products i  [#permalink]

Show Tags

gjonrexha wrote:
If n = (2^2)(3^4)(5^6). the value of which of the following products is greater than sqrt of n?

I. (2)(3^3)(5^2)
II. 2(3)(5^4)
III. (2^2)(3^2)(5^3)

(A) None
(B) I only
(C) II only
(D) III only
(E) II and III

I understand the question and whats its asking but can someone explain the concept/shortcut of answering these types of questions???

My approach below:

Our choices must be greater than $$2*3^2*5^3$$
I. $$(2)(3^3)(5^2)$$ --> We lost 5, but gained just 3.
II. $$2(3)(5^4)$$--> We lost 3, but gained 5.
III. $$(2^2)(3^2)(5^3)$$ --> We gained 2.

Only in II & III we gained overall, so E Hope its clear.
_________________
Yours,
Siva Rama Krishna Meka Board of Directors D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4772
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
Re: If n = (2^2)(3^4)(5^6). the value of which of the following products i  [#permalink]

Show Tags

gjonrexha wrote:
If n = (2^2)(3^4)(5^6). the value of which of the following products is greater than sqrt of n?

I. (2)(3^3)(5^2)
II. 2(3)(5^4)
III. (2^2)(3^2)(5^3)

(A) None
(B) I only
(C) II only
(D) III only
(E) II and III

I understand the question and whats its asking but can someone explain the concept/shortcut of answering these types of questions???

$$\sqrt{n} = \sqrt{(2^2)(3^4)(5^6)}$$ =

Or, $$\sqrt{n} = 2*3^2*5^3$$ = $$2250$$

I. $$(2)(3^3)(5^2) = 1350$$ < $$\sqrt{n}$$

II. $$2(3)(5^4) = 3750$$ > $$\sqrt{n}$$

III. $$(2^2)(3^2)(5^3) = 4500$$ > $$\sqrt{n}$$

Hence, the correct answer will be (E) both II and III.
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Director  D
Joined: 24 Oct 2016
Posts: 533
GMAT 1: 670 Q46 V36 GMAT 2: 690 Q47 V38 Re: If n = (2^2)(3^4)(5^6). the value of which of the following products i  [#permalink]

Show Tags

gjonrexha wrote:
If n = (2^2)(3^4)(5^6). the value of which of the following products is greater than sqrt of n?

I. (2)(3^3)(5^2)
II. 2(3)(5^4)
III. (2^2)(3^2)(5^3)

(A) None
(B) I only
(C) II only
(D) III only
(E) II and III

I understand the question and whats its asking but can someone explain the concept/shortcut of answering these types of questions???

Under 1 min Solution:

On GMAT, factorize instead of multiply whenever possible.

1) Calculate sqrt (n) => (2)(3^2)(5^3)
2) Use this template: sqrt (n) / Given statement
If numerator >= denominator, then no.
If numerator < denominator, then yes.

For stmt 1: 5/3 => No
For stmt 2: 3/5 => Yes
For stmt 3: 2/4 => Yes

_________________

If you found my post useful, KUDOS are much appreciated. Giving Kudos is a great way to thank and motivate contributors, without costing you anything. Re: If n = (2^2)(3^4)(5^6). the value of which of the following products i   [#permalink] 11 Apr 2019, 15:07
Display posts from previous: Sort by

If n = (2^2)(3^4)(5^6). the value of which of the following products i

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

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