GMAT Changed on April 16th - Read about the latest changes here

It is currently 23 Apr 2018, 22:10

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In a group of 3 girls and 2 boys, the average height is

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

Hide Tags

Expert Post
1 KUDOS received
MBA Section Director
User avatar
V
Joined: 19 Mar 2012
Posts: 4958
Location: India
GMAT 1: 760 Q50 V42
GPA: 3.8
WE: Marketing (Non-Profit and Government)
In a group of 3 girls and 2 boys, the average height is [#permalink]

Show Tags

New post 12 Apr 2018, 13:26
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

35% (01:33) correct 65% (02:00) wrong based on 47 sessions

HideShow timer Statistics

GST Week 1 Day 4 Exampal Question 1


Give your best shot at writing a top notch application and you will have the chance to win GMAT Club tests daily and Exampal Premium GMAT Package. See the GMAT Spring Training Thread for all details


In a group of 3 girls and 2 boys, the average height is 120 centimeters. If the tallest boy is 140 centimeters, is the average height of the girls less than 117 centimeters?

(1) The height of the other boy is 130 centimeters.

(2) The shortest members of the group are two girls who are each 110
[Reveal] Spoiler: OA

_________________

Have an MBA application Question? ASK ME ANYTHING!

My Stuff: Four Years to 760 | MBA Trends for Indian Applicants

My GMAT Resources
V30-V40: How to do it! | GMATPrep SC | GMATPrep CR | GMATPrep RC | Critical Reasoning Megathread | CR: Numbers and Statistics | CR: Weaken | CR: Strengthen | CR: Assumption | SC: Modifier | SC: Meaning | SC: SV Agreement | RC: Primary Purpose | PS/DS: Numbers and Inequalities | PS/DS: Combinatorics and Coordinates

My MBA Resources
Everything about the MBA Application | Over-Represented MBA woes | Fit Vs Rankings | Low GPA: What you can do | Letter of Recommendation: The Guide | Indian B Schools accepting GMAT score | Why MBA?

My Reviews
Veritas Prep Live Online

3 KUDOS received
Manager
Manager
avatar
B
Joined: 15 Oct 2017
Posts: 125
CAT Tests
In a group of 3 girls and 2 boys, the average height is [#permalink]

Show Tags

New post 12 Apr 2018, 13:43
3
This post received
KUDOS
D.

Sum of heights of 3 girls and 2 boys = 120*5 = 600.

1) Sum of heights of boys = 130+140 = 270

Therefore, sum of heights of girls = 600-270 = 330

Hence, average height of girls = 330/3 = 110

Sufficient.

2) Sum of heights of the two girls and tallest boy = 110*2 + 140 = 220+140 = 360.

Therefore, sum of heights of the remaining one girl and one boy = 240.

It's given that the shortest height is 110 and the tallest height is 140.

Hence, maximum height that the remaining girl can have is 129 and the minimum height she can have is 111. Calculating for both values, average height of girls say x, 110<x<116. Sufficient.


Sent from my iPhone using GMAT Club Forum
Intern
Intern
avatar
B
Joined: 03 Oct 2016
Posts: 35
In a group of 3 girls and 2 boys, the average height is [#permalink]

Show Tags

New post 12 Apr 2018, 14:02
souvik101990 wrote:

GST Week 1 Day 4 Exampal Question 1


Give your best shot at writing a top notch application and you will have the chance to win GMAT Club tests daily and Exampal Premium GMAT Package. See the GMAT Spring Training Thread for all details


In a group of 3 girls and 2 boys, the average height is 120 centimeters. If the tallest boy is 140 centimeters, is the average height of the girls less than 117 centimeters?

(1) The height of the other boy is 130 centimeters.

(2) The shortest members of the group are two girls who are each 110


Sum=G1+G2+G3+B1+B2 heights.
Sum/5=120 cm -> Sum=600 cm -> G1+G2+G3+B1+B2=600 cm tallest boy say B1 is 140 then G1+G2+G3+B2=600 cm - B1 -> G1+G2+G3+B2=600 cm - 140=460
We are asked to find if (G1+G2+G3)/3<117. If we know the value of B2 then sum of heights of all girls will be known.

1) B2=130. From this we can get G1+G2+G3 and calculate (G1+G2+G3)/3. Sufficient.
2) We have G1+G2+G3+B2=560. Say G1 and G2 are the shortest member with 110 cm of height. Then the equation becomes 110+110+G3+B2=460 -> B2+G3=460-220=240. We still don't know B2 or G3 but G3 can be between (least) 110 & 140 (max) .i.e. 110<G3<140. If G3=111 then (G1+G2+G3)/3>110<117 Yes. If G3=139 then (G1+G2+G3)/3>117 No. hence, (G1+G2+G3)/3 cannot be determined to be <117. Not Sufficient.

Answer (A).
1 KUDOS received
Intern
Intern
avatar
B
Joined: 03 Oct 2016
Posts: 35
Re: In a group of 3 girls and 2 boys, the average height is [#permalink]

Show Tags

New post 12 Apr 2018, 14:45
1
This post received
KUDOS
urvashis09 wrote:
D.

Sum of heights of 3 girls and 2 boys = 120*5 = 600.

1) Sum of heights of boys = 130+140 = 270

Therefore, sum of heights of girls = 600-270 = 330

Hence, average height of girls = 330/3 = 110

Sufficient.

2) Sum of heights of the two girls and tallest boy = 110*2 + 140 = 220+140 = 360.

Therefore, sum of heights of the remaining one girl and one boy = 240.

It's given that the shortest height is 110 and the tallest height is 140.

Hence, maximum height that the remaining girl can have is 129 and the minimum height she can have is 111. Calculating for both values, average height of girls say x, 110<x<116. Sufficient.


Sent from my iPhone using GMAT Club Forum


urvashis09 Seems I made a mistake. This looks gud to me, thx for the explanation. Congrats. +1.
Manager
Manager
avatar
B
Joined: 24 Sep 2011
Posts: 68
GMAT ToolKit User CAT Tests
In a group of 3 girls and 2 boys, the average height is [#permalink]

Show Tags

New post 12 Apr 2018, 16:09
Answer: D

Given:
G1+G2+G3+B(Tall)+B(Short)= 600
B(Tall)= 120 that means G1+G2+G3+B(S)= 460

What we have to find is (G1+G2+G3)/3< 117 (Yes or No)

Statement A
B(S)= 130
This gives us the age of both boys and we can find the sum of the ages of all the three girls. We will divide the sum by 3 and that will give us the average height of the girls. Hence sufficient for us to answer the question

Statement 2
Shortest members of the group are the two girls and they both have the same height which is 110
G1 (shortest) + G2(other shortest) + G3 + B(Tallest) + B(Short)= 600

110+110+ G3+140+ B(S)=600

G3+B(S)= 240
we know that each G3 & B(S) have a height above 110. Therefore we can take two cases.
Case-I= G(3) has a height of 129 and B(S) has a height of 111
(G1+G2+G3)/3= (110+110+129)/3 = 116.3.. which is less than 117

Case-I= G(3) has a height of 111 and B(S) has a height of 129
(G1+G2+G3)/3= (110+110+111)/3 = 110.3.. which is also less than 117

Hence statement two is sufficient to answer the question. Therefore the answer is D (each statement alone is sufficient)
_________________

1. Well Begun is Half done
2. He who asks a question is a fool for five minutes; he who does not ask a question remains a fool forever.
3. The night is darkest just before the dawn

Intern
Intern
avatar
B
Joined: 02 Feb 2015
Posts: 4
Re: In a group of 3 girls and 2 boys, the average height is [#permalink]

Show Tags

New post 12 Apr 2018, 23:12
Sum of heights = 120*5 = 600
3G + 2B = 600
Height of tallest boy = 140

1) 3G+B+140=600
3G + 130 +140=600
3G = 330

Hence, average height of girls = 330/3 = 110

Sufficient.

2) Sum of heights of the two girls and tallest boy = 110*2 + 140 = 220+140 = 360.

G + B = 240.

It's given that the shortest height is 110
therefore girl's height can be either 111 or 129

Taking both value into consideration
3rd Girl's height lies between 110 and 117

Therefore Sufficient

Ans. D
Expert Post
1 KUDOS received
MBA Section Director
User avatar
V
Joined: 19 Mar 2012
Posts: 4958
Location: India
GMAT 1: 760 Q50 V42
GPA: 3.8
WE: Marketing (Non-Profit and Government)
Re: In a group of 3 girls and 2 boys, the average height is [#permalink]

Show Tags

New post 14 Apr 2018, 06:46
1
This post received
KUDOS
Expert's post
Re: In a group of 3 girls and 2 boys, the average height is   [#permalink] 14 Apr 2018, 06:46
Display posts from previous: Sort by

In a group of 3 girls and 2 boys, the average height is

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.