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

 It is currently 20 Jan 2019, 14:25

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.

# If -1 < a < 0, q = a - 1, r = a^2, and s = a^3, then which of the foll

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52296
If -1 < a < 0, q = a - 1, r = a^2, and s = a^3, then which of the foll  [#permalink]

### Show Tags

28 Oct 2018, 22:43
00:00

Difficulty:

45% (medium)

Question Stats:

69% (01:14) correct 31% (01:19) wrong based on 129 sessions

### HideShow timer Statistics

If $$-1 < a < 0$$, $$q = a - 1$$, $$r = a^2$$, and $$s = a^3$$, then which of the following is true?

A. $$q < r < s$$

B. $$q < s < r$$

C. $$r < q < s$$

D. $$s < q < r$$

E. $$s < r < q$$

_________________
Director
Joined: 18 Jul 2018
Posts: 575
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If -1 < a < 0, q = a - 1, r = a^2, and s = a^3, then which of the foll  [#permalink]

### Show Tags

29 Oct 2018, 00:07
1
From the question a is negative.

Then q will also be negative.
r will be positive.
and s will be negative.
Since s is cube of a then s will be lesser than q.

$$s<q<r$$

_________________

If you are not badly hurt, you don't learn. If you don't learn, you don't grow. If you don't grow, you don't live. If you don't live, you don't know your worth. If you don't know your worth, then what's the point?

Manager
Joined: 28 Jun 2018
Posts: 72
Re: If -1 < a < 0, q = a - 1, r = a^2, and s = a^3, then which of the foll  [#permalink]

### Show Tags

29 Oct 2018, 06:28
Taking a= -0.5
Then Q= - 1.5
R = 0.25
S= -0.125

Q< A < S < R

B, methinks.
Director
Joined: 31 Oct 2013
Posts: 955
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If -1 < a < 0, q = a - 1, r = a^2, and s = a^3, then which of the foll  [#permalink]

### Show Tags

13 Nov 2018, 15:48
Bunuel wrote:
If $$-1 < a < 0$$, $$q = a - 1$$, $$r = a^2$$, and $$s = a^3$$, then which of the following is true?

A. $$q < r < s$$

B. $$q < s < r$$

C. $$r < q < s$$

D. $$s < q < r$$

E. $$s < r < q$$

a is a negative fraction.

$$a^2 > a^3.$$

q = a -1. As a is negative q must be negative.

2 negative we have . but a^3 yields much smaller than q.

Thus , $$a^2>a^3>q.$$
Re: If -1 < a < 0, q = a - 1, r = a^2, and s = a^3, then which of the foll &nbs [#permalink] 13 Nov 2018, 15:48
Display posts from previous: Sort by