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

 It is currently 26 Jun 2019, 21:36

### 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

# On a business trip, 30 percent of 60 sales representatives will be giv

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55802
On a business trip, 30 percent of 60 sales representatives will be giv  [#permalink]

### Show Tags

13 Jun 2019, 00:20
00:00

Difficulty:

(N/A)

Question Stats:

75% (02:34) correct 25% (02:51) wrong based on 8 sessions

### HideShow timer Statistics

On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?

(A) 51
(B) 52
(C) 53
(D) 54
(E) 55

_________________
Senior Manager
Joined: 22 Nov 2018
Posts: 345
Location: India
GMAT 1: 640 Q45 V35
GMAT 2: 660 Q48 V33
Re: On a business trip, 30 percent of 60 sales representatives will be giv  [#permalink]

### Show Tags

13 Jun 2019, 00:56
Bunuel wrote:
On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?

(A) 51
(B) 52
(C) 53
(D) 54
(E) 55

Actual Stay = 18 at XYZ and 42 at ABC
Preference = 33 at XYZ and 27 at ABC.

Now assume all 33 who prefer XYZ are given accommodation at ABC and XYZ is has 0 preference and 18 non-pref while ABC will have 9 pref and 33 non-pref. So 51 IMO A
_________________
Give +1 kudos if this answer helps..!!
Senior Manager
Joined: 20 Jul 2017
Posts: 347
Re: On a business trip, 30 percent of 60 sales representatives will be giv  [#permalink]

### Show Tags

13 Jun 2019, 06:07
Bunuel wrote:
On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?

(A) 51
(B) 52
(C) 53
(D) 54
(E) 55

To find maximum number of NOT preferred accommodations, Give preferred accommodations the least = 0 (as shown above)

Total non preferred = X + Y = 18 + 33 = 51

IMO Option A

Pls Hit Kudos if you like the solution
Attachments

27.png [ 8.12 KiB | Viewed 169 times ]

Re: On a business trip, 30 percent of 60 sales representatives will be giv   [#permalink] 13 Jun 2019, 06:07
Display posts from previous: Sort by