NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 12:03 It is currently 24 Apr 2024, 12:03
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A, B and C play cricket. A's runs are to B's runs and B's runs are to

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618795 [0]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
A, B and C play cricket. A's runs are to B's runs and B's runs are to [#permalink] New post   23 Jun 2020, 08:39
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

83% (02:06) correct 17% (02:59) wrong based on 64 sessions
Hide Show timer Statistics
A, B and C play cricket. A's runs are to B's runs and B's runs are to C's as 3:2. They get altogether 342 runs. How many runs did A make?

A. 162
B. 108
C. 72
D. 68
E. 62
ShowHide Answer
Official Answer
A
User avatar
P
RaghavKhanna
Senior Manager
Senior Manager
Joined: 03 May 2020
Posts: 267
Own Kudos [?]: 296 [0]
Given Kudos: 675
Location: India
Concentration: Marketing, Strategy
GMAT 1: 700 Q47 V39
Send PM
Re: A, B and C play cricket. A's runs are to B's runs and B's runs are to [#permalink] New post   23 Jun 2020, 08:44
A:B :: 3:2
B : C :: 3:2

Let B = X
=> A = 3X/2

and, C = 2X/3

=> A + B + C = 342
=> 3X/2 + X + 2X/3 = 342
=> 9X + 6X + 4X = 342*6
=> 19X = 342*6
=> X = 108

=> Runs scored by A = 3(108)/2 = 162

=> Answer: A
User avatar
L
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Posts: 3137
Own Kudos [?]: 2769 [0]
Given Kudos: 1510
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
Send PM
Re: A, B and C play cricket. A's runs are to B's runs and B's runs are to [#permalink] New post   23 Jun 2020, 08:47
A:B = (3:2)*3
B:C = (3:2)*2

A:B:C = 9:6:4

A+B+C = 342

A scored 9/19 proportion of whole 342 run.
=> 342*9/19
=> 18*9
=> 162

Answer is A

Posted from my mobile device
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5343
Own Kudos [?]: 3964 [0]
Given Kudos: 160
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Reviews Badge
Re: A, B and C play cricket. A's runs are to B's runs and B's runs are to [#permalink] New post   23 Jun 2020, 11:33
Bunuel wrote:
A, B and C play cricket. A's runs are to B's runs and B's runs are to C's as 3:2. They get altogether 342 runs. How many runs did A make?

A. 162
B. 108
C. 72
D. 68
E. 62


Given:
1. A, B and C play cricket.
2. A's runs are to B's runs and B's runs are to C's as 3:2.
3. They get altogether 342 runs.

Asked: How many runs did A make?

Let A made 9k runs, B made 6k and C made 4k runs

9k + 6k + 4k = 342
19k = 342
k = 342/19 = 18
A made = 18*9 = 162 runs

IMO A
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18754
Own Kudos [?]: 22046 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: A, B and C play cricket. A's runs are to B's runs and B's runs are to [#permalink] New post   27 Jun 2020, 06:05
Expert Reply
Bunuel wrote:
A, B and C play cricket. A's runs are to B's runs and B's runs are to C's as 3:2. They get altogether 342 runs. How many runs did A make?

A. 162
B. 108
C. 72
D. 68
E. 62

Solution:

We see that A : B :: 3: 2 and B : C :: 3 : 2. We multiply the first ratio by 3 and the second ratio by 2 to obtain A : B :: 9 : 6 and B : C :: 6 : 4. Because the ratio values for B are now the same, we can create the 3-way ratio of: A : B : C :: 9 : 6 : 4.

We can let 9x, 6x, and 4x be the number of runs of A, B, and C, respectively, and create the equation:

9x + 6x + 4x = 342

19x = 342

x = 18

Therefore, A made 9(18) = 162 runs.

Answer: A
GMAT Club Bot
gmatclubot
Re: A, B and C play cricket. A's runs are to B's runs and B's runs are to [#permalink]
27 Jun 2020, 06:05
Moderators:
Bunuel
Math Expert
92902 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions