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

 It is currently 18 Oct 2018, 15:25

### 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

# Set A consists of the prime factors of the number 22680. If each numbe

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50000
Set A consists of the prime factors of the number 22680. If each numbe  [#permalink]

### Show Tags

13 Apr 2018, 03:32
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:50) correct 33% (02:06) wrong based on 72 sessions

### HideShow timer Statistics

Set A consists of the prime factors of the number 22680. If each number in Set A is repeated the same number of times as it appears in the full prime factorization of 22680, what is the mode of Set A?

A. 2
B. 3
C. 5
D. 7
E. 8

_________________
Intern
Joined: 04 Apr 2018
Posts: 21
Re: Set A consists of the prime factors of the number 22680. If each numbe  [#permalink]

### Show Tags

13 Apr 2018, 03:52
number 22680 = (2^3*3^4*5*7) or (2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7)
3 appears most, hence it should be mode. So, option B. 3 must be the answer.
Manager
Joined: 30 May 2017
Posts: 120
Location: United States
Schools: HBS '21
GMAT 1: 690 Q50 V32
GRE 1: Q168 V164
GPA: 3.57
Re: Set A consists of the prime factors of the number 22680. If each numbe  [#permalink]

### Show Tags

13 Apr 2018, 03:56
Bunuel wrote:
Set A consists of the prime factors of the number 22680. If each number in Set A is repeated the same number of times as it appears in the full prime factorization of 22680, what is the mode of Set A?

A. 2
B. 3
C. 5
D. 7
E. 8

The prime factorization of 22680 is 2^3 * 3^4 * 5 * 7

Therefore 3 is the mode.

Hence $$option B = 3$$ is the answer.
_________________

Kindly press the +1Kudos if you like the explanation. Thanks a lot!!!

Re: Set A consists of the prime factors of the number 22680. If each numbe &nbs [#permalink] 13 Apr 2018, 03:56
Display posts from previous: Sort by