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

 It is currently 13 Oct 2019, 18:08

### 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

# If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58335
If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3  [#permalink]

### Show Tags

11 Oct 2018, 03:12
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:39) correct 13% (02:31) wrong based on 66 sessions

### HideShow timer Statistics

If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of $$\frac{rst}{u^3}$$ ?

A. 30

B. 60

C. 150

D. 300

E. 600

_________________
VP
Joined: 31 Oct 2013
Posts: 1475
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3  [#permalink]

### Show Tags

11 Oct 2018, 03:17
1
Bunuel wrote:
If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of $$\frac{rst}{u^3}$$ ?

A. 30

B. 60

C. 150

D. 300

E. 600

r = 3s = 3 * 10 u = 30 u

s = 5t = 5 * 2u = 10 u

t = 2u.

Question :$$\frac{rst}{u^3}$$ = $$\frac{30u*10u*2u}{u*u*u}$$ = 600.

Note: As u is the denominator convert all the items in terms of u.

Manager
Joined: 06 Sep 2018
Posts: 173
Location: Pakistan
Concentration: Finance, Operations
GPA: 2.87
WE: Engineering (Other)
Re: If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3  [#permalink]

### Show Tags

11 Oct 2018, 03:25
convert all the right hand side of all equation into variable 'u'
as $$t=2u$$
so $$s=5(2u)=10u$$
$$r=3(10u)=30u$$

so expression is:
$$\frac{rst}{u^3}=\frac{30u*10u*2u}{u^3}$$
$$\frac{600u^3}{u^3}$$

$$600$$
_________________
Hitting Kudos is the best way of appreciation.

Eric Thomas, "When you want to succeed as bad as you want to breathe, then you'll be successful."
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4753
Location: India
GPA: 3.5
Re: If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3  [#permalink]

### Show Tags

11 Oct 2018, 08:27
Bunuel wrote:
If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of $$\frac{rst}{u^3}$$ ?

A. 30

B. 60

C. 150

D. 300

E. 600

$$r = 3*5(2u) =30u$$

$$s = 5(2u) = 10u$$

$$t = 2u$$

So, $$\frac{rst}{u^3} = \frac{30u*10u*2u}{u^3}= 600$$; Answer must be (E)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
SVP
Joined: 26 Mar 2013
Posts: 2341
Re: If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3  [#permalink]

### Show Tags

12 Oct 2018, 18:05
Bunuel wrote:
If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of $$\frac{rst}{u^3}$$ ?

A. 30

B. 60

C. 150

D. 300

E. 600

Let $$u=1$$, therefore $$t=2$$ & $$s=10$$ & $$r=30$$

$$\frac{rst}{u^3}$$=600

Re: If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3   [#permalink] 12 Oct 2018, 18:05
Display posts from previous: Sort by