Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 26 May 2017, 07:14

### 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

# If the ratio x: y:z is 3:5:7, what is the value of z

Author Message
TAGS:

### Hide Tags

Intern
Joined: 24 Nov 2012
Posts: 25
Followers: 0

Kudos [?]: 50 [0], given: 0

If the ratio x: y:z is 3:5:7, what is the value of z [#permalink]

### Show Tags

29 Nov 2012, 09:56
5
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

76% (01:34) correct 24% (00:43) wrong based on 98 sessions

### HideShow timer Statistics

If the ratio x: y:z is 3:5:7, what is the value of z?

(1) The average (arithmetic mean) of x, y, and z is 25.
(2) The value of x is 15.
[Reveal] Spoiler: OA

Last edited by Bunuel on 19 Mar 2015, 05:38, edited 2 times in total.
Edited the tags.
Director
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 614
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 570 Q49 V19
GMAT 2: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Followers: 108

Kudos [?]: 651 [0], given: 57

Re: If the ratio x: y:z is 3:5:7, what is the value of z [#permalink]

### Show Tags

29 Nov 2012, 10:01
ritumaheshwari02 wrote:
If the ratio x: y:z is 3:5:7, what is the value of z?

(1) The average (arithmetic mean) of x, y, and z is 25.
(2) The value of x is 15.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

x:y:z = 3:5:7
means x=3k, y=5k, z=7k where k is the common value in all the three numbers.

STAT1
(x+y+z)/3 = 25
x+y+z = 75
=> 3k + 5k+ 7k = 75
15k = 75
k = 5
z = 7k = 35
SUFFICIENT

STAT2
x= 15
=> 3k = 15
=> k =5
=> z = 7k = 7*5 = 35
SUFFICIENT

Hope it helps!
_________________

Ankit

Check my Tutoring Site -> Brush My Quant

GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief

How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15460
Followers: 649

Kudos [?]: 209 [0], given: 0

Re: If the ratio x: y:z is 3:5:7, what is the value of z [#permalink]

### Show Tags

17 Mar 2015, 06:06
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 9120
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 445

Kudos [?]: 2873 [0], given: 169

Re: If the ratio x: y:z is 3:5:7, what is the value of z [#permalink]

### Show Tags

18 Mar 2015, 20:04
Hi All,

With the given ratio, we know that X is a multiple of 3, Y is an equivalent multiple of 5 and Z is an equivalent multiple of 7. By extension, the sum of those 3 terms is a multiple of 15

For example, we could have X=3, Y=5 and Z=7 (and the sum = 15) or X=6, Y=10, Z=14 (and the sum = 30)

We're asked for the value of Z .

Fact 1: The average (arithmetic mean) of x, y, and z is 25.

Since the average of the 3 terms is 25, the SUM of the three terms is 75.

75 is a 5 times 15, so we can calculate the value of all 3 variables:

X = 3(5) = 15
Y = 5(5) = 25
Z = 7(5) = 35
Fact 1 is SUFFICIENT

Fact 2: The value of x is 15.

Since X = 15, we can figure out the "multiple of 3" that we're dealing with. 3(5) = 15, so we have to multiply the Y and the Z by 5 also.

Y = 5(5) = 25
Z = 7(5) = 35
Fact 2 is SUFFICIENT

[Reveal] Spoiler:
D

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

# Special Offer: Save \$75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15460
Followers: 649

Kudos [?]: 209 [0], given: 0

Re: If the ratio x: y:z is 3:5:7, what is the value of z [#permalink]

### Show Tags

18 Sep 2016, 22:47
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: If the ratio x: y:z is 3:5:7, what is the value of z   [#permalink] 18 Sep 2016, 22:47
Similar topics Replies Last post
Similar
Topics:
3 What is the value of x + y? (1) 7x + 3y + 6z = 16 (2) 3x + 5y = 3z + 5 3 22 May 2017, 13:13
1 If 2x = 2y – 3z, what is the value of z? 6 20 Apr 2015, 06:39
18 What is the ratio x : y: z ? 9 14 Feb 2017, 13:24
6 Is (2^(y+z))(3^x)(5^y)(7^z) < (90^y)(14^z) 4 17 Mar 2016, 06:22
21 What is the ratio of x:y:z? 14 14 Feb 2017, 13:10
Display posts from previous: Sort by