It is currently 21 Oct 2017, 23:58

### 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

# In a certain daycare, are there more boys than girls?

Author Message
TAGS:

### Hide Tags

Manager
Joined: 24 Apr 2013
Posts: 52

Kudos [?]: 11 [0], given: 76

Schools: Duke '16
In a certain daycare, are there more boys than girls? [#permalink]

### Show Tags

07 May 2013, 13:49
00:00

Difficulty:

35% (medium)

Question Stats:

68% (00:54) correct 32% (01:11) wrong based on 82 sessions

### HideShow timer Statistics

In a certain daycare, are there more boys than girls?

(1) The number of girls is less than 3 times the number of boys.
(2) The number of boys is less than 3/4 the number of girls.
[Reveal] Spoiler: OA

Last edited by Bunuel on 08 May 2013, 05:48, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 11 [0], given: 76

VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1120

Kudos [?]: 2332 [1], given: 219

Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Re: In a certain daycare are? [#permalink]

### Show Tags

07 May 2013, 14:06
1
KUDOS
In a certain daycare, are there more boys than girls?

(1) The number of girls is less than 3 times the number of boys.
$$G<3B$$
G=5 B=4, there are more girls
G=1 B=4, there are more boys.
Not sufficient

(2) The number of boys is less than 3/4 the number of girls.
$$B<\frac{3}{4}G$$

$$4B<3G$$

$$3B+1B<3G$$ so $$\frac{1}{3}B<G-B$$. This means that the difference G-B is greater than 0, because the number of boys cannot be negative
(how could it be?). The $$\frac{1}{3}B$$ part will be $$\geq{0}$$ so $$G-B>0$$ => more Girls
Sufficient
B
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Kudos [?]: 2332 [1], given: 219

Manager
Joined: 24 Apr 2013
Posts: 52

Kudos [?]: 11 [0], given: 76

Schools: Duke '16
Re: In a certain daycare are? [#permalink]

### Show Tags

07 May 2013, 15:06
Wow that is a great explanation thank you so so MUCH!

Kudos [?]: 11 [0], given: 76

Senior Manager
Joined: 21 Jan 2010
Posts: 329

Kudos [?]: 226 [0], given: 12

Re: In a certain daycare are? [#permalink]

### Show Tags

07 May 2013, 18:35
n a certain daycare, are there more boys than girls?

(1) The number of girls is less than 3 times the number of boys.

Insufficient for obvious reasons.

(2) The number of boys is less than 3/4 the number of girls.
If number of boys < 3/4 of the number of girls - > Girls > Boys . Sufficient

Kudos [?]: 226 [0], given: 12

Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 627

Kudos [?]: 1358 [0], given: 136

Re: In a certain daycare are? [#permalink]

### Show Tags

07 May 2013, 23:20
:-D In a certain daycare, are there more boys than girls?

(1) The number of girls is less than 3 times the number of boys.

(2) The number of boys is less than 3/4 the number of girls.

Let the no of Boys and Girls be b and g respectively.

From F.S 1, we know that g<3b = b>g/3. Take g = 3, b = 2 and b<g. However, for g=3 and b=4, b>g. Insufficient.

From F.S 2, we know that b<0.75g. Thus$$\frac{b}{g}$$<1, g>b. Sufficient.

B.
_________________

Kudos [?]: 1358 [0], given: 136

Intern
Joined: 14 Feb 2013
Posts: 31

Kudos [?]: 60 [0], given: 14

Schools: Duke '16
Re: In a certain daycare are? [#permalink]

### Show Tags

08 May 2013, 02:02
In a certain daycare, are there more boys than girls?

(1) The number of girls is less than 3 times the number of boys.

(2) The number of boys is less than 3/4 the number of girls.

(1) The number of girls is less than 3 times the number of boys.
G < 3B (if G = 3, B = 2, more girls, G = 1, B = 2, more boys) - Insufficient

(2) The number of boys is less than 3/4 the number of girls.
B < (3/4) G
4B < 3G
As B,G cannot be negative,
4(2) < 3(3) - Girls are more
4(1) < 3(2) - Girls are more
- Sufficient

_________________

Consider giving +1 Kudo when my post helps you.
Also, Good Questions deserve Kudos..!

Kudos [?]: 60 [0], given: 14

Re: In a certain daycare are?   [#permalink] 08 May 2013, 02:02
Display posts from previous: Sort by